Paper no : 1  1. Alok and Bhanu play the following min-max game. Given the expression N=40+X+Y-Z, where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be (a) 49  (b) 51  (c) 31  (d) 582. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 14 such programmers take 14 minutes to write 14 lines of code in total. How long will in take 5 programmers to write 5 lines of code in total ?(a) 19  (b) 5  (c) 14  (d) 703. 14 people meet and shake hands. The maximum number of handshakes possible if there is to be no ‘cycle’ of handshakes is (A cycle of handshakes is a sequence of people a1, a2,…ak, k>2 such that the pairs {a1,a2}, {a2,a3},…, {a(k-1), ak}, {ak, a1} shake hands).(a) 11  (b) 12  (c) 10  (d) 134. 45 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All the suspects are lying. B. The leftmost suspect is guilty. C. The rightmost suspect is guilty.(a) A only(b) A and C(c) B only(d) A and B5. The dynamics of crowd behaviour are hard to study because usually people are not reliable witnesses of their own behaviour. Now consider 4 people standing in the queue of a supermarket. You want to predict their behaviour based on their age group. You get to know from the supermarket records that their average age 4 years ago was 43 years. After a while, another person joins the queue and the present average of all the 5 is 40 years. The present age of the last person in the queue is :(a) 28 years  (b) 12 years  (c) 32 years  (d) 24 years6. One day Snow-white meets Pal and Unicorn in the Fairyland. She knows the Pal lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Unicorn, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Snow-white – Pal: Yesterday was one of those days when I lie. Unicorn: Yesterday was one of those days when I lie too. What day is it?(a) Tuesday  (b) Monday(c) Thursday(d) Sunday7. The Barnes Foundation in Philadelphia has one of the most extra-ordinary and idiosyncratic collections in French impressionist art. Dr. Barnes who put together this collection has insisted that the paintings be hung in a particular manner specified by him at a museum designed by the French architect Paul Philippe Cret who also designed the Rodin Museum. The museum has, say, seven galleries – Eugene Boudin, Cassatt, Boudin, Forain, Gonzales, Manet and Monet. Visitors reach the main Eugene Boudin by an elevator, and they can enter and leave the exhibition only through Eugene Boudin gallery. Once inside, visitors are free to move as they choose. The following list includes all of the doorways that connect the seven galleries: There is a doorway between Eugene Boudin and Cassatt, a doorway between Eugene BoudinandBoudin, and a doorway between Eugene Boudin and Gonzales galleries. There is a doorway between Cassatt and Boudin galleries. There is a doorway between Gonzales and Forain and a doorway between Gonzales and Manet galleries. There is a doorway between Manet and Monet galleries. Which of the following rooms CANNOT be the third gallery that any visitor enters ?(a) Monet  (b) Boudin  (c) Forain  (d) Cassatt

8. Mr. Beans visited a magic shop and bought some magical marbles of different colours along with other magical items. While returning home whenever he saw a coloured light, he took out marbles of similar colours and counted them. So he counted the pink coloured marbles and found that he has bought 25 of them. Then he counted 14 green marbles and then 21 yellow marbles. He later counted 30 purple coloured marbles with him. But when he reached a crossing, he looked at a red light and started counting red marbles and found that he had bought 23 Red marbles. As soon as he finished counting, it started raining heavily and by the time he reached home he was drenched. After reaching home he found that the red, green and yellow marbles had magically changed colours and became white, while other marbles were unchanged. It will take 1 day to regain its colours, but he needs to give atleast one pair of marbles to his wife now. So how many white marbles must be choose and give to his wife so as to ensure that there is atleast one pair of red, yellow and green marbles ?(a) 46  (b) 35  (c) 29 (d) 489. A greengrocer was selling watermelon at a penny each, chickoos at 2 for a penny and peanuts at 3 for a penny. A father spent 7p and got the same amount of each type of fruit for each of his three children, Jane, Joe and Jill. Jane is three years older than Jill and Joe is exactly half the age of Jane and Jill together. What did each child get ?(a) 1 watermelon, 3 chickoos, 2 peanuts(b) 1 watermelon, 1 chickoo, 1 peanus(c) 1 watermelon, 2 chickoos, 2 peanuts(d) 1 watermelon, 2 chickoos, 1 peanut10. Given 3 lines in the plane such that the points of intersection from a triangle with sides of length 20, 20 and 20, the number of points equidistant from all the 3 lines is(a) 4  (b) 3  (c) 0  (d) 111. 33 people {a1, a2,…,a33} meet and shake hands in a circular fashion. In other words, there are totally 33 handshakes involving the pairs, {a1,a2}, {a2,a3},…,{a32, a33}, {a33, a1}. Then the size of the smallest set of people such that the rest have shaken hands with at least one person in the set is(a) 10  (b) 11  (c) 16  (d) 1212. Consider two vessels, the first containing on liter of water and the second containing one liter of pepsi. Suppose you take one glass of water out of the first vessel and pour it into the second vessel. After mixing you take one glass of the mixture from the second vessel and pour it back into the first vessel. Which one of the following statements holds now?(a) None of the statements holds true.(b) There is less Pepsi in the first vessel than water in the second vessel.(c) There is more Pepsi in the first vessel than water in the second vessel.(d) There is as much Pepsi in the first vessel as there is water in the second vessel.13. Amok is attending a workshop ‘How to do more with less’ and today’s theme is Working with fever digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fever digits. The problem posed at the end of the workshop is ‘How many 10 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4?’ Can you help Amok find the answer?(a) 1953125(b) 781250(c) 2441407(d) 244140614. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A’s chances of wining. Let’s assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 11/12 of winning the game. What is the probability that Paul with correctly pick the winner of the Ghana-Bolivia game?(a) .92  (b) .01  (c) .85  (d) .1515. There are two boxes, one containing 39 red balls and the other containing 26 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is (a) .60  (b) .50  (c) .80  (d) .3016. After the typist writes 40 letters and addresses 40 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improver envelope?

(a) 1 – 1/40(b) 1/40(c) 1/401(d) 017. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/3 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/4 of the distance. By what factor should be hare increase its speed so as the win the race?(a) 4(b) 3(c) 12(d) 5.00

18. A sheet of paper has statements numbered from 1 to 20. For each value of n from 1 to 20, statements n says ‘At least n of the statements on this sheet are true.’ Which statements are true and which are false?(a) The odd numbered statements are true and the even numbered are false.(b) The first 13 statements are false and the rest are true.(c) The first 6 statements are true and the rest are false.(d) The even numbered statements are true and the odd numbered are false.19. The question is followed by two statements, A and B. Answer the question using the following instructions: Choose 1: if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose 2: if the question can be answered by using either of the statements alone. Choose 3: if the question can be answered by using both statements together but not by either statement alone. Choose 4: if the question cannot be answered on the basis of the two statements. Zaheer spends 30% of his income on his children’s education, 20% on recreation and 10 % on healthcare. The corresponding percentages for Sandeep are 40%, 25% and 13%. Who spends more on children’s education? A” Zaheer spends more on recreation that Sandeep B: Sandeep spends more on healthcare than Zaheer.(a) 3  (b) 2  (c) 1  (d) 420. Subha Patel is an olfactory scientist working for International Flavors and Fragrances. She specializes in finding new scents recorded and reconstituted from nature thanks to Living Flower Technology. She has extracted fragrance ingredients from different flowering plants into bottles labeled herbal, sweet, honey, anisic and rose. She has learned that a formula for a perfume is acceptable if and only if it does not violate any of the rules listed: If the perfume contains herbal, it must also contain honey and there must be twice as much honey as herbal. If the perfume contains sweet, it must also contain anisic, and the amount of anisic must equal the amount of sweet. honey cannot be used in combination with anisic. anisic cannot be used in combination with rose. If the perfume contains rose, the amount of rose must be greater than the total amount of the other essence or essences used. Which of the following could be added to an unacceptable perfume consisting of two parts honey and one part rose to make it acceptable?(a) Two parts rose(b) One part herbal(c) Two parts honey(d) One part sweet21. The citizens of planet Oz are 6 fingered and thus have developed a number system in base 6. A certain street in Oz contains 1000 buildings numbered from 1 to 1000. How many 3’s are used in numbering these buildings? Express your answer in base 10.(a) 144(b) 54(c) 108(d) 3622. Recent reports have suggested that sportsmen with decreased metabolic rates perform better in certain sports. After reading one such report, Jordan, a sportsperson from Arlington decides to undergo a rigorous physical training program for 3 months, where he performs Yoga for 3 hours, walks for 2 hours and swims for 1 hour each day. He says: I began my training on a Wednesday in a prime number month of 2008. I lost 1% of my original weight within the first 30 days. In the next two months combined, I lost 1 Kg. If he walks at 5 mph over a certain journey and walks back over the same route at 7 mph at an altitude of 200 meters, what is his average speed for the journey?(a) 5.83(b) 2.92(c) 6.00(d) 35.0023. A schoolyard contains only bicycles and 4 wheeled wagons. On Tuesday, the total number of wheels in the schoolyard was 134. What could be possible number of bicycles?(a) 16  (b) 15  (c) 18  (d) 14

24. A sheet of paper has statements numbered from 1 to 20. For all values of n from 1 to 20, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?(a) The even numbered statements are true and the odd numbered statements are false.(b) All the statements are false.(c) The odd numbered statements are true and the even numbered statements are false.(d) The second last statement is true and the rest are false.25. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If tank B is 1/8 filled after 5 hours, what is the total duration required to fill it completely?(a) 9 hours(b) 7 hours(c) 3 hours(d) 8 hours26. A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?(a) 900(b) 488(c) 500(d) 800

27. Alice and Bob play the following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position I below the top coin (for some I between 0 and 100). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it’s a player’s turn then the player wins the game. Initially, the gold coin is the third coin from the top. Then (a) In order to win, Alice’s first move should be a 1-move.(b) In order to win, Alice’s first move should be a 0-move.(c) Alice has no winning strategy.(d) In order to win, Alice’s first move can be a 0-move or a 1-move.28. The teacher is testing a student’s proficiency in arithmetic and poses the following question: 1/2 of a number is 3 more than 1/6 of the same number. What is the number?Can you help the student find the answer?(a) 9(b) 8(c) 10(d) 329. A circular dashboard of radius 1.0 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?(a) 1.00(b) .75(c) .25(d) .5030. A result of global warming is that the ice of some glaciers is melting. 13 years after the ice disappears, tiny plants, called lichens, start to grow on the rocks. Each lichen grows approximately in the shape of a circle. The relationship between the diameter of this circle and the age of the lichen can be approximated with the formula: d=10*(t – 13) for t > 13, where d represents the diameter of the lichen in millimeters, and t represents the number of years after the ice has disappeared. Using the above formula, calculate the diameter of the lichen, 45 years after the ice has disappeared.(a) 450(b) 437(c) 13(d) 32031. 25 people meet and shake hands. The maximum number of handshakes possible if there is to be no ‘cycle’ of handshakes is (A cycle of handshakes is a sequence of people a1, a2, …,ak, k>2 such that pairs {a1, a2}, {a2, a3}, …, {a(k-1), ak}, {al, a1} shake hands).(a) 24(b) 22(c) 21(d) 2332. Consider two cans, the first containing one litre of water and the second containing one litre of Pepsi. Suppose you take one cup of water out of the first can and pour it into the second can. After mixing you take one cup of the mixture from the second can and pour it back into the first can. Which one of the following statements holds now? (a) There is less Pepsi in the first can than water in the second can.

(b) There is more Pepsi in the first can than water in the second can.(c) None of the statements holds true.(d) There is as much Pepsi in the first can as there is water in the second can.33. A greengrocer was selling orange at a penny each, olives at 2 for a penny and grapes at 3 for a penny. A father spent 7p and got the same amount of each type of fruit for each of his three children, Jane, Joe, and Jill. Jane is three years older than Jill and Joe is exactly half the age of Jane and Jill together. What did each child get?(a)1 orange, 2 olives, 2 grapes(b) 1 orange, 3 olives, 2 grapes(c) 1 orange, 1 olive, 1 grape(d) 1 orange, 2 olives, 1 grape34. A sheet of paper has statements numbered from 1 to 20. For each value of n from 1 to 20, statement n says ‘At least n of the statements on this sheet are true.’ Which statements are true and which are false?(a) The even numbered statements are true and the odd numbered are false(b) The first 13 statements are false and the rest are true.(c) The fist 6 statements are true and the rest are false.(d) The odd numbered statements are true and the even numbered are false.35. 45 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All the suspects are lying. B. The leftmost suspect is guilty. C. The rightmost suspect is guilty.(a) A and C(b) A and B(c) A only(d) B only

36. Ferrari S.P.A. is an Italian sports car manufacturer base in Maranello , Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored driver and manufactured race cars before moving into production of street – legal vehicles in 1947 as Ferrari S.p.A. sThroughout its history, the company has bee noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once brought a Ferrari. It could go 2 times as fast as Mohit’s old Mercedes. If the speed of Mohit’s Mercedes is 40 Km/hr and the distance traveled by the Ferrari is 913 Km, find the total time taken for Rohit to drive the distance.(a) 12 Hours(b) 22 Hours(c) 456 Hours(d) 11.41 Hours37. The teacher is testing a student’s proficiency in arithmetic and poses the following question: 1/3 of a number is 6 more than 1/6 of the same number. What is the number?Can you help the student find the answer?(a) 35(b) 6(c) 37(d) 3638. Recent report have suggested that sportsmen with decreased metabolic rates perform better in certain sports. After reading one such report, Jordon, a sportsperson from Arlington decides to undergo a rigorous physical training program for 3 months, where he performs Yoga for 3 hours, walks for 2 hours and swims for 1 hour each day. He says: I began my training on a Wednesday in a prime number month of 2008. I lost 1% of my original weight within the first 30 days. In the next two months combined, I lost 1 Kg. If he walks at 5 mph over a certain journey and walks back the same route at 8 mph at an altitude of 200 meters, what is his average speed for the journey?(a) 6.15(b) 3.08(c) 6.50(d) 26.6739. The result of global warming is the ice of some glaciers is melting. 19 years after the ice disappears, tiny planets, called lichens, start to grow on the rock. Each lichen grows approximately in the shape of a circle. The relationship between the diameter of the circle and the age of the lichen can be approximated with the formula: d =12* (t-19) for t>19, where d represents the diameter of the lichen in millimeters, and t represents the number of years after the ice has disappeared. Using the above formula, calculate the diameter of the lichen, 32 years after the ice has disappeared.(a) 384(b) 156(c) 19(d) 36540. There are two boxes, one contains 12 red balls and the other containing 47 green balls. You are

allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is:(a) .59(b) .20(c) .10(d) .5041. The citizens of planet Oz are fingered and thus have developed a number system in base 6. A certain street in Oz contains 1000 buildings numbered from 1 to 1000. How many 2’s are used in numbering these buildings? Express your answer in base 10.(a) 144(b) 24(c) 108(d) 3642. The question is followed by two statements, A and B. Answer the question using the following instructions: Choose1: if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose2: if the question can be answered by using either of the statements alone. Choose3: if the question can be answered by using both statements together but not by either statement alone. Choose4: if the question cannot be answered on the basis of the two statements. Zayed spends 30% of his income on his children’s education, 20% on recreation and 10% on healthcare. The corresponding percentage for Sandeep are 40%, 25% and 13%. Who spends more on children’s education? A: Zayed spends more on recreation than Sandeep B: Sandeep spends more on healthcare than Zayed.(a) 4(b) 3(c) 2(d) 143. The question is followed by two statements, A and B. Answer the question using the following instructions: Choose1: if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose2: if the question can be answered by using either of the statements alone. Choose3: if the question can be answered by using both statements together but not by either statement alone. Choose4: if the question cannot be answered on the basis of two statements. Tarun is standing 2 steps to the left of a green mark and 3 steps to the right of a black mark. He tosses a coin. If it comes up heads, he moved one step to the right, otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stops? A: he stops at 21 coin tosses. B: he obtains three more tails than heads. (a) 1(b) 3(c) 4(d) 244. There are two water tank A and B, A is much smaller than B. While water fills at rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 16..in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If tank B is 1/8 filled after 7 hours, what is the total duration required to fill it completely?(a)10 hours(b) 9 hours(c) 11 hours(d) 3 hours45. A sheet of paper has statements numbered from 1 to 10. For all values of n from 1 to 10, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?(a) The even numbered statements are true and the odd numbered statements are false.(b) The second last statement is true and the rest are false.(c) The odd numbered statements are true and the even numbered statements are false.(d) All the statements are false.46. Alok is attending a workshop ‘How to do more with less’ and today’s theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as we as womankind) had only worked with fewer digits. The problem posed at the end of the workshop is ‘How many 6 digit numbers can be formed using the digits 1,2,3,4,5, (but with repetition) that are divisible by 4?’ Can you help Alok find the answer?(a) 3906(b) 3907(c) 3125(d) 125047. The dynamics of crowd behavior are hard to study because usually people are not reliable witness of their own behaviour. Now consider 4 people standing in the queue of a supermarket. You want to predict their behaviour based on their age group. You get to know fro the supermarket records that their average age 3 years ago was 48 years. After a while, another person joins the queue and the present average of all the 5 is 46 years. The present age of the last person in the queue is: (a) 38 years(b) 35 years(c) 41 years

(d) 26 years48. Alice and Bob play the following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top of the repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position I below the top coin (for some I between 0 and 100). We will call this as i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated, for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happen to be on the top when it’s a player’s turn then the player wins the game. Initially, the gold coin is the third coin from the top. Then(a) In order to win, Alice’s first move should be a 1-move.(b) Alice has no winning strategy.(c) In order to win, Alice’s first move can be a 0-moveor a 1-move.(d) In order to win, Alice’s first move should be a 0-move.49. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If tank B is 1/16 filled after 16 hours, what is total duration required to fill it completely?(a) 19 hours(b) 20 hours(c) 4 hours(d) 21 hours50. Consider two tumblers, the first containing one litre of milk ad the second containing one litre of coffee. Suppose you take one glass of milt out of the first tumbler and pour it into the second tumbler. After mixing you take one glass of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statements holds now? (a) None of the statements holds true.(b) There is less coffee in the first tumbler than milk in the second tumbler.(c) There is as much coffee in the first tumbler as there is milk in the second tumbler.(d) There is more coffee in the first tumbler than milk in the second tumbler.51. A circular dashboard of radius 2.0 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?(a) .75(b) 1.00(c) .25(d) .5052. A sheet of paper has statements numbered from 1 to 10. For all values of n from 1 to 10, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?(a) All the statements are false.(b) The second last statement is true and the rest are false.(c) The even numbered statements are true and the odd numbered statements are false.(d) The odd numbered statements are true and the even numbered statements are false.53. Consider two vessels, the first containing one litre of oil and the second containing one litre of coffee. Suppose you take one spoon of oil out of the first vessel and pour it into the second vessel. After mixing you take one spoon of mixture from the second vessel and pour it back into the first vessel. Which one of the following statements holds now?

(a) None of the statements holds true.(b) There is less coffee in the first vessel than oil in the second vessel.(c) There is more coffee in the first vessel than oil in the second vessel.(d) There is as much coffee in the first vessel as there is oil in the second vessel.54. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If tank B is 1/32 filled after 19 hours, what is total duration required to fill it completely?(a) 5 hours(b) 23 hours(c) 24 hours(d) 25 hours55. The question is followed by two statements, A and B. Answer the question using the following instructions: Choose1: if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose2: if the question can be answered by using either of the statements alone. Choose3: if the question can be answered by using both statements together but not by either statement alone. Choose4: if the question cannot be answered on the basis of two statements. Zayed spends 30% of his income on his children’s education, 20% on recreation and 10% on healthcare. The corresponding percentage for Sandeep are 40%, 25% and 13%. Who spends more on children’s education? A: Zayed spends more on recreation than Sandeep B: Sandeep spends more on healthcare than Zayed.(a) 1(b) 3

(c) 4(d) 256. The question is followed by two statements, A and B. Answer the question using the following instructions: Choose1: if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose2: if the question can be answered by using either of the statements alone. Choose3: if the question can be answered by using both statements together but not by either statement alone. Choose4: if the question cannot be answered on the basis of two statements. Tarak is standing 2 steps to the left of a yellow mark and 3 steps to the right of a grey mark. He tosses a coin. If it comes up heads, he moves one step to the right, otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stops? A: he stops at 21 coin tosses. B: he obtains three more tails than heads. (a) 2(b) 3(c) 4(d) 157. A sheet of paper has statements numbered from 1 to 10. For all values of n from 1 to 10, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?(a) The even numbered statements are true and the odd numbered statements are false.(b) The second last statement is true and the rest are false.(c) The odd numbered statements are true and the even numbered statements are false.(d) All the statements are false.58. There are two boxes, one contains 47 red balls and the other containing 46 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is(a).75(b) .50(c) .25(d) .5159. Consider two vessels, the first containing one liter of ink and the second containing one liter of cola. Suppose you take one glass of ink out of the first vessel and pour it into the second vessel. After mixing you take one glass of mixture from the second vessel and pour it back into the first vessel. Which one of the following statements holds now?(a) There is as much cola in the first vessel as there is ink in the second vessel.(b) None of the statements holds true.(c) There is more cola in the first vessel than ink in the second vessel.(d) There is less cola in the first vessel than ink in the second vessel.

Paper no: 21) Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is a)      3   b)      5  c)      2 2) Paul the octopus who has been forecasting the outcome of FIFA world cup matches with tremendous accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other teams in the group. The top two teams from each group enter the semi finals (after which the winner is decided by knockout).However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win the ICC world cup? a)      (2/3)^10     b)      (2/3)^9 + 8/3 * (2/3)^9    c)      8/3 * (2/3)^9       d)     (2/3)^10 + 8/3*(2/3)^9

 3) Toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters at 10 meters per minute. However , the toy train is defective and it now produces only two different tunes at random. What are the odds that the toy train produces 4 consecutive music tunes of the same type?a)      1 in 16   b)      1 in 4   c)      1 in 8 4) A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 . What is the remainder left, when twice the number is divided by 3D? a)      13    b)      cannot be determined  c)      3 d) 42Ans: c 5) Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?a)      8     b)      All are equally likely     c)      9     d)     106) One day Alice meets pal and byte in fairyland. She knows that pal  lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies  on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it ? a) Thursday      b) Tuesday   c) Monday d) SundayAns: a       7) A car manufacturer produces only red and blue models which come out of the final testing area completely at random. What are the odds that 5 consecutive cars of the same color will come through the test area at any one time?c)      1 in 16     ci)    1 in 12    cii)  1 in 32    ciii)1 in 258) Alok is attending a workshop “How to do more with less” and today's theme is Working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind(as well as womankind) had only worked with fewer digits. The problem posed at the end of the workshop is How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? Can you help Alok find the answer?a) 100   b) 125   c) 75    d) 85 9) Rearrange the following letters to make a word and choose the category in which it Ms RAPETEKAa)  Bird  b)    Vegetable   c) City    d) Fruit 10) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called  echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula  d = 4*√ (t-9) for t ≥ 9 Where d represents the diameter in mm and t  the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur? a)      17     b)      21.25 c)      12.25  d) 12.06Ans: b  11) In the reading room of a library, there are23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single  reader? a)       8    b)      None         c)      16     d) 15  Ans: d  12) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If  the speed of Mohan's Mercedes is 46 km/hr and the distance traveled  by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance. a)      20.72 b)      5.18 c)      238.25  d) 6.18Ans: b 13) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ' Which statements are true and which are false? a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false.d)    The first 35 statements are false and the last 35 are false. Ans: b 

 14) Middle – earth  is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different   rounds where in every round , half of the teams get eliminated from the tournament. If  there are 8 rounds played in a knock-out tournol how many matches were played?a)      257   b)      256   c)      72  d) 255Ans: D  15) A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain set of laboratory experiments . To identify the mice, the lab has prepared labels with numbers 1 to 100 , by combining tags numbered 0 to 9. The SPCA  requires that the tags be made of toxin-free material and that the temperature of the cages be maintained at 27 degree Celsius. Also , not more than 2 mice can be caged  together and each cage must be at least 2 sq.ft in area. The 5 experiments to be conducted by lab are to be thoroughly documented and performed only after a round of approval by authorities. The approval procedure takes around 48 hours. How many times is the tag numbered '4' used by the lab in numbering these mice?a)       9    b)      19    c)      20    d) 21Ans: b 16) There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. (At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?a)      26 hrs    b)      25 hrs     c)      5 hrs   d) 27 hrsAns: a   17) Consider two tumblers, the first containing one litre of coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now? a)  There is less coffee in the first tumbler than water in the second tumbler.b)  There is more coffee in the firs tumbler than water in the second tumblerc)  There is as much coffee in the first tumbler as there is water in the second tumblerd)     None of the statements holds true. 18) Francois Pachet , a researcher at Sony Computer Science laboratories is also a jazz musician. He decided to build a  robot able to improvise like a pro. Named Continuator, the robot can duet with a live musician in real- time. It listens to a musical phrase and then computes  a complementary phrase with the same playing style. If the cost of making the robot is divided between and then computes a complementary phrase with the same playing style. If the cost of making the robot is divided between materials , labour and overheads in the ratio of 4:6:2.If the materials cost $108. the cost of  the robot is a)      $270     b)      $324   c)      $216  d) $ 648Ans: b  19) A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. The lights are out and it is totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She takes out an   item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of  each colour?a)      50  b)      8  c)      60  d) 4220) A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey? a) 2.4 mph   b)  4 mph  c)  4.8 mph  d)  5 mphAns: d 21) Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up . The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month? a)      $27    b)      $ 18   c)      $45   d)     $ 486 22) Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of the following are necessarily true?A. The points in P lie on a circle.B. The distance between any pair of points in P is larger than the distance between X and a point in Pa)      A and B   b)      Neither A nor B  c)      B only   d)     A only 23) In the year 2002, Britain was reported to have had 4.3m closed – circuit television (CCTV) cameras – one for every 14 people in the country . This scrutiny is supposed to deter and detect crime. In one criminal case, the police interrogates two suspects . The ratio between the ages of the two suspects is 6:5 and the sum of their ages is 6:5 and the sum of their ages is 55 years. After how many years will the ratio be 8:7.?a)      11  b)        6    c)      10    d)   5  24) Susan made a block with small cubes of 8 cubic cm volume to make a block 3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?

a)      114    b)      135    c)        21   d)       71 25) Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true? a) In order to win, Alok should remove O1 on his first turn.b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.c) In order to win, Alok should remove O2 on his first turn.d)  Alok has no winning strategy. 

Paper No 31.In the reading room of a library, there are 23 reading spots. Each reading spot consists of a roundtable with 9 chairs placed around it. There are some readers such that in each occupied reading spotthere are different numbers of readers. If in all there are 36 readers, how many reading spots do nothave even a single reader?a)8 b)none c)16 d)15Solution: 23 reading spots, Each reading spot consists of 9 chairs placed around it so There are somereaders such that in each occupied reading spot there are different numbers of readers. For each tabledifferent no of persons are sat,so for first table 1 person is sit,2nd table 2 persons are sit 36 readersmeans(1+2+3+4+5+6+7+8 so 8 tables are filled so 23-8=15 reading spots does not have single reader.2.A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is hisaverage speed for the journey?a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mphSolution: Average speed=(2*x*y)/(x+y)3.A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings ? a )16 b)56 c)112 d)28Solution: 8c24.A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type? a) 1 in 16 B)1 in 4 c)1 in 8 d)1 in 32Solution: initially it produces 10 sounds and the defect came and now it produces only 2 different sounds and consecutively so there are totally 2 sounds and we have to select on sound and the probability is ½and it produces the same sound consecutively for 2 times so the probability becomes ½*1/2 ie ¼5.A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type? a) 1 in 16 B)1 in 4 c)1 in 8 d)1 in 32Solution: initially it produces 10 sounds and the defect came and now it produces only 2 different sounds and consecutively so there are totally 2 sounds and we have to select on sound and the probability is ½and it produces the same sound consecutively for 2 times so the probability becomes ½*1/2 ie ¼6. Out of 7 children the youngest is boy then find the probability that all the remaining children are boysa)1/64 b)1/32 c)1/128 d)1/2567.John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged thecheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced.Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/lossfor shop keeper?a)loss 23 b)gain 23 c)gain 54 d)Loss 54Solution: loss =change of money given to john(4$)+actual cycle cost 19$=23$ loss8. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she takeout to make sure she has a pair of each color? a)50 b)8 c)60 d)42Solution : 32r+24y+1y+1b+2b= 609.Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, wherein every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played ? a )257 b)256 c)72 d)255Solution:  perfect logic 2^8 10.There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible? a)6 b)21 c)28 d)7 Solution :For handshakes type question i am confirming u that if the there are n members are there

Handshakes are given in linear manner =n-1(last person cannot give hand shake to first person)Handshakes are given in cyclic manner =n(last person can give hand shake to first person)But i do not know perfectly for repetition it is nc211. 20 men handshake with each other without repetition. What is the total number of handshakes made? a) 190 b) 210 c) 150 d)2502. 12.If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 20 two wheelers parked the area?a)48 b)50 c)52 d)64Solution: proceed with answer is best in question they will give total no of wheels13.A volume of 10936 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?a)2812 b)8231 c)2734 d)422214.A horse chases a pony 2 hours after the pony runs. Horse takes 3 hours to reach the pony .If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?a)46.4 b)51 c)53.4 d)48.6Solution:Horse takes 3 hours to cover the distance Pony takes 3+2 =5 hours to cover the same distance, Velocity=distance/time, distance travelled by them is equal it is 81*3=243km,speed of pony=243/5=48.615. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tinyplanetoids called echina start growing on the rocks. Echina grows in the form of circle, and therelationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jaganrecorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blastoccur?a) 17 b)21.25 c)12.25 d)14.05Solution: radius =7mm,then diameter 2*radius,substitude diameter d in above equation u will get answer16)Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrariin 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before movinginto production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company hasbeen noted for its continued participation in racing, especially in Formula One where it has employedgreat success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If thespeed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the totaltime taken for Rohit to drive that distance.a) 20.72 b) 3.5 c) 238.25 d) 6.18Solution: speed of Ferrari =4*35=140,time=distance/velocity,17)A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement nsays ' At least n of the statements on this sheet are false. ‘Which statements are true and which arefalse?a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false.d) The first 35 statements are false and the last 35 are false.18) If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisonedcan?a) 3 b) 2 c) 6 d) 119)In a hotel we can order two types of varities,but we can make 6 more variteis in home.One can choosethe four varities with two from hotel as must.Find how many ways one can order.a)14 b)15 c)56 d)2820)Thebacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let theprobability is P.Some of them survived with probability 1/5.Then which among the following relation istrue?solution : P=1/3+1/5*3 b)P=1/5*(1/8-3)21)How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if therepetition is allowed?a)57 b)56 c)59 d)5822)Which is the smallest no which divides 2880 and gives a perfect square?a)4 b)9 c)3 d)5Solution: for answer solve via options23)Consider two tumblers, the first containing Water and next contains coffee. Suppose you take onespoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of thefollowing statement holds now?a) There is less coffee in the first tumbler than water in the second tumblersb) There is more coffee in the firs tumbler than water in the second tumblerc) There is as much coffee in the first tumbler as there is water in the second tumblerd) None of the statements holds trueSolution :think wisely and answer these are asked in my paper 2 or 3 questions24)Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the restby a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5

points in theplane in general position(.i.e no three points in P lie on a line) isa)3 b)5 c) 2 d)Ans:For the minimum value the answer is 3 whatever the given no . of points. And for the maximum value the answer is the no. of points given in the question.25)The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8.A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?a) 54 b) 64 c) 265 d) 192Ans: 192 - Some times base value is chang like: 9finger, 1 to 100(base 9)26)Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that tooleisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes inone direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. Bywhat factor should the hare increase its speed so as to tie the race?a) 37.80 b)8 c) 40 d) 5Ans: 37.8027)Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. Howmany programmers are needed?a) 16 b) 6 c) 10 d) 60Solution: (men*time)/work)Ans: 10 This type of Q's repeated 3 times for me but values are different.28)Alok and Bhanu play the following min-max game. Given the expression N = 9 + X + Y - Z Where X,Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanuwould like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes thisfor a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable tosubstitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play totheir optimal strategies, the value of N at the end of the game would bea) 0 b) 27 c) 18 d) 20Solution : Simply substitute the following value for the given equationif the equation is X+Y+Z then substitute the value 11if the equation is X*Y+Z then substitute the value 18if the equation is X-Y-Z then substitute the value 2Now the answer for the given question is 9 + 11=2029)Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other.One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin tothe top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i belowthe top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The provisois that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turnsneither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn thenthe player wins the game. Initially, the gold coinis the third coin from the top. Then find the valid game between alice and bob.a) In order to win, Alice's first move should be a 1-move.b) In order to win, Alice's first move should be a 0-move.c) In order to win, Alice's first move can be a 0-move or a 1-move.d) Alice has no winning strategy.Ans: d30)After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly intothe envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in animproper envelope?a)1/12 b)0 c)12/212 d)11/12Ans: b

Paper No 41. For the king’s revelry 30 barrels of beer have b een ordered . howerver, it was found that one of them is poisoned. The poison takes effect even if consumed in the tiniest amount after 14 hours. Yhou need to find within 24 hours the poisoned barrel and have at your disposal some beer guzzling mice. The smallest number of mice required to find the poisoned barrel is1) 22) 13) 44) 3

hint: 2^n> no of barrels ans:42. Given a collection of points P in the plane a 1-set is a point in P that can be separated from the rest by a line; i.e the pint lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P) . The maximum value of n1(P) over all configurations P of 15 points in the plane is1) 5 2) 103) 154) 9Ans: 15(Same as given number of points)3. The pacelength P is the distance between the rear of two consecutive footprints for men the formula n/P=190 gives an approximate relationship between n and P where n= number os steps per

minute and P= CX in meters. Bernard knows his Pace Length is 104cm the formula applies to Bernards walking. Calculate Bernards walking speed in kmph.4. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare I the other. The hare starts after the tortoise had coveredc 1/7 of its distance and that tooo leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor shoul the hare increase its speed so as to ties the reace?841.00567Ans: 1/7, 1/87*8=5656-7=4949-8=4149*41/7^2=41.005. Mr bean visited a magic shop and bought some magical marbles of different colours along with other magical items. While returning home whenever he saw a coloured light he took out marbles of similar colours and counted them. So he counted the pink coloured marbles and found that he has bought 25 of them . then he counted 10 green marbles and then 32 yellow marbles. He later counted 30 purple coloured marbles with him. But when he reached a crossing, he looked at a red light and started counting red marbles and found that he had bought 34 red marbles. As soon as he finished counting, it started raining heavily and by the time he reached home he was drenched. After reaching home he found that the red, green, and yellow marbles had magically changed colours and became white, while other marbles were unchanged . it will take 1 day to regain its colo9urs, but he needs to give atleast one pair of marbles to his wife so as to ensure that there is atleast one pair of red, yellow and green marbles?70426840Ans: 34+32+2=686. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160…..in tank B. 1/16 th of the tank B is filled in 21 hours. What is the time to fill the tank fully?a) 26(b) 25(c) 5(d) 27

7. A sheet of paper has statements numbered from 1 to 20. For all values of n from 1 to 20. Statement n says 'At least n of the statements on this sheet are false.' Which statements are true and which are false?(a) The even numbered statements are true and the odd numbered are false.(b) The odd numbered statements are true and the even numbered are false.(c) The first 6 statements are true and the last 6 are false.(d) The first 13 statements are false and the last 13 are false.Ans. cNote: For this type of Questions, follow this:--At least- I'st half are true, Last half are false--Exactly- Last second one is true or (N-1)th Statement is true--Almost- All are true.8. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries and also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?

Hint: m1*h1/w1=m2*h2/w29. 45 people {a1, a2, …, a12} meet and shake hands in a circular fashion. In the pairs, {a1, a2}, {a2, a3}, …, {a11, a12}, {a12, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is(a) 12(b) 10(c) 18(d) 15Ans. d hint: ceiling[N/3]10. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?A. All suspects are lying.

B. leftmost suspect is guilty.C. leftmost suspect is guilty(a) A only(b) A and C(c) A and B(d) B onlyans: b11. Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be?Ans. 15+18 =33Note: For this type of questions:x+y-z=11x-y-z=2x*(y+z)=1812. How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? Can you help Alok find the answer?(a) 100(b) 125(c) 75(d) 85Ans:. 5^n-1= 5^4-1=125, n= no of digits13. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*v (t-9) for t = 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?a) 17 b)21.25 c)12.25 d)14.05Ans: b14. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.20.72 b) 5.18 c) 238.25 d) 6.18Ans: b15. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?

a)loss 23 b)gain 23 c)gain 54 d)Loss 54

Ans: a  hint: 19+4=23

16. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?

a)257 b)256 c)72 d)255

And: d

17. (1/2) of a number is 3 more than the (1/6) of the same number?

a) 6b) 7c) 8d) 9 Ans: d

18. Alice and Bob play the following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 100). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it’s a player’s turn then the player wins the game.

A. Alice has no winning strategy.B. Initially, the gold coins the third coin from the top. ThenC. In order to win, Alice’s first move should be a 0-move.D. In order to win, Alice’s first move should be a 1-move.

Ans. D19. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?(a) 0(b) 12/212(c) 11/12(d) 1/12Ans. a

20. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes?

(a) 72(b) 432(c) 12(d) 144Ans. b(This question is two times repeated in my question paper)21. A circular dartboard of radius 2 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle.  What is the probability that Q is closer to the center of the circle than the periphery?a) 0.75  b) 1 c) 0.25  d) 0.5Ans: 0.2522. Planet Fourfe resides in 4-dimensional space and thus the currency used by its residents are 3- dimensional objects. The rupee notes are cubical in shape shile their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. A. The diamere of the coins should be at least 4 mm and not exceed 16mm. B. given a coin the diameter of the next larger coin is at least 50% greater. C. the diameter of the coin must always be na integer. You are asked to design a set of coins of different diameters with thers requirements and your goal is to desigh as many coins as possible. How many coins can you design?1243Ans: 123. There are two boxes, one containing 24 red balls and the other containing 38 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box the probability of getting a red ball is maximized. This maximum probability is.50.39.69.1924. Subha patel is an olfactory scientist working for internation flavors and fragrances. She specializes in finding new scents recorded and reconstituted from nature thanks to living flower technology she has extracted fragraned ingredients from different flowering plants into bottles labeled citrus lilac, woody, anisic and casis . she has learned that a formula for a perfume is acceptable if and only if it does not violate any of the rules listed: if the perfume contains citrus, it must also contain anisic, and the amount of anisic must equal the amount of lilac. Woody cannot be used in combination with anisic. Anisic cannot be used in combination with casis. If the perfume contains casis, the amount of casis must be greater than the total amount of the other essence or essence used. Which of the following could be added to and unacceptable perfume consisting of two parts woody and one part casis to make it acceptable?

1. Two parts woody2. One part lilac3. One part citrus4. Two parts casisAns: Two parts casis25. exp(m,n)= m to the power of n, if exp(10,m) = n exp(2,4),what is the value of n?(i dont remember the options)26. The citizens of planet Oz are 6 fingered and thus have developed a number system in base 6. A certain street in Oz contains 1000 buildings numbered from 1 to 1000. How many 3’s are used in numbering these buildings? Express your answer in base 10.Ans:   3 * n2=108 (n=6,....if n= number system given)27. The dynamics of crowd behaviour are hard to study because usually people are not reliable witness of their own behaviour. Now consider 4 people standing in the queue of a supermarket. You want to predict their behaviour based on their age group. You get to know fro the supermarket records that their average age 3 years ago was 48 years. After a while, another person joins the queue and the present average of all the 5 is 46 years. The present age of the last person in the queue is:Ans:   26 years28. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?a) 2.4 mphb) 4.8 mphc) 4 mphd) 5 mphSolution: Average speed=(2*x*y)/(x+y)29. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?a) Whiteb) Blackc) Grayd) BrownSolution is: White. above all the matter is nonsense30. In a school, for a student out of 100 he got 74 of average for 7 subjects and he got 79 marks in the 8th subject. what is the average of all the subject?a) 76.251b) 80.25c) 74.265d) 74.625Solution: Total marks=74*7=518, then average=(518+79)/8=74.62531. A boy got 224 points out of 300, but he had to score atleast 79%. Now he has one more exam left with him how much he have to score in remaining exam to score atleast 79% if it is of 100 points.

Ans: 92 marks32. The bacteria grows in exponential manner, the bacteria proportion at 3.00 P.M is 300 then at 7.00 P. M it raise to 153600. By how much will be the proportion of bacteria at 10.00 P.M?Ans: 39321600 (just solve it).33. Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?a) 8b) All are equally likelyc) 9d) 10Solution: Calculate how many times 8,9,10 will come when we throw 2 dice, and answer34.  Bhanu spends 30% of his income on petrol on scooter. ? of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?

a) Rs.525b) Rs.1000c) Rs.675d) Rs.175

(ans 175)

35. Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square

such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the side of the square to radius to the circles. You may assume that squate toot of 2 is 1.4(a) 13.90 :1 (b) 10.40 :1 (c) 11.80 :1 (d) 15.90 :1

Ans: b

Paper No 51). A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.Sol:- ans:cTrick:-* atleast- first half s true n rem s false* exactly: 1 statement s true and rest r false* atmost : all statement r trueIf given:1)"At least n of the statements on this sheet are false"A)First half are true and last half are false.2)"Exactly n statements on the sheet are false"A)Last but one is true and rest are false3)"At least n of the statements on this sheet are true"A)In this case first x statements are true and remaining false. x can be any integer. you can get it in options. In this case it is 13. C is right.2)Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side.The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position(.i.e no three points in P lie on a line) is a)3 b)5 c) 2 d)1ans:-53)A hare & a tortoise have a race along a circle of 100 yards diameter.the tortoise goes in 1 direction & hare in another.after the tortoise has covered 1/5th of its distance & that is too leisurely.the hare & tortoise meet when the hare has covered only 1/8 th of the distance.by what factor should the hare increase its speed so as it to tie the race?a)5b)8c)37.80d)40ans:-37.80Trick:-look for da answr wid decimal.4)QThe citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 buildings numbered 1 to 1000 in base 8. How many 3s are used in numbering these buildings?Express your answer in base 10 a)      54 b) 64 c) 265 d) 192Ans:-192Trick:-b/w 1 to 1000  3 appears 300 times.so ans is 3*8^2+0*8^1+0*8^0. 5)There are 40 barreals are there and one is poisoned. If a drop is consumed he will die in 14 hrs then how many least mice are required to find the poisoned barreal? sol:The option was not "1".Search for this question I left it.6) Alice and Bob play the following coins-on-a-stack game. 50 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin. We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then a) In order to win, Alice first move should be a 0-move.b) In order to win, Alice first move should be a 1-move.c) Alice has no winning strategy.d) In order to win, Alice first move can be a 0-move or a 1-move 7)Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now? a) There is less coffee in the first tumbler than water in the second tumblersb) There is more coffee in the firs tumbler than water in the second tumbler

c) There is as much coffee in the first tumbler as there is water in the second tumblerd)None of the statements holds trueans:-(c) alws equal8)Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?      a)      16 b) 6 c) 10 d) 60b)      Ans:-109)After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a)1/12    b)0    c)12/212  d)11/12Ans: b10). On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formulad = 4 * sqrt (t – 8)for t = 8Where the represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter? a)      8 b) 16 c) 25 d) 21b)      Ans:-16.smply put t=24 11)By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed? Ans: (5)^11  Trick:-(5)^(n-1).n=no. of digits(12) 12)Alok and Bhanu play the following min-max game. Given the expressionN = 9 + X + Y - Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanuwould like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be a)      0 b) 27 c) 18 d) 20Ans:-20Trick:-der r generally 3 types of eqtn:-N=N1+x+y-z.  here add 11 to N1 n u get ur answr                                                          N=N1+x*(y-z) Here add 18 to N1 n u get ur answr                                                           N=N1+x-y-z. Here add 2 to N1 n u get ur answr. The Q's  concept is same but the equation of N's is changing. 13) Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m. Sol:Formula is 2xy/(x+y) 14)10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?A) All suspects are lyingB) the leftmost suspect is guiltyC) rightmost suspect is guiltya)A onlyb)A and Bc)B onlyd)A and Cans:-(b) A and B 15). The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 111cm. The formula applies to Bernard’s walking. Calculate Bernard’s walking speed kmph.Sol:-n/p=144,p=111 so n=144*111.N=speed in cm/min.cnvrt to kmph.approx9.6kmphSpeed=144*111*60/100000 16)Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.2)a) 1:(2 + 73)b) 1:(4 + 72):1c) (2 + 7d) 2) ( For me they changed 7 circles to 9 circles)1:(2 + 6 17)A lady has fine gloves and hats of different colours of hats in her closet-18 blue,32 red and 25 yellow.the lights are out and it is totally dark.In spite of thr ddarkness,she can make out of the difference which is hat and a glove.she takes an item out of the closet only if he sure that it is glove .how many gloves must she take out make sure that she has a pair of each color. a)6  b)8  c)60  d)59ans:-59

 18)There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like 10,  20,  40, 80,  160 in tank B. 1/8 th of the tank B is filled in 22 hours. What is the time to fill the tank fully? a)      26 B) 25 c) 5 d) 27b)      Ans:-25 19)Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old Mercedes wich gave him 35 kmph if Mohan travelled 490 km in his ferrari the how much time(hours) he took?Easy one try it. 20)) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly and of the statements on this sheet are false.' Which statements are true and which are false? a) The 39th statement is true and the rest are false. All the statements are false.b) The odd numbered statements are true and the even numbered statements are false.c) The even numbered statements are true and the odd numbered statements are false Ans: A 21). 33 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 33 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is?(ans is 11) 22) 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ……, {ak-1, ak}, {ak, a1} shake hands).a) 7   b) 6     c) 9     d) 8Ans: c 23) Middle – earth  is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different   rounds where in every round, half of the teams get eliminated from the tournament. If  there are 8 rounds played in a knock-out tournol how many matches were played? a)  257   b) 256  c) 72   d) 255  ans:-2^8-1 matches=255 matches n 256 teams.24)der was an 18 hr clock sum.dnt rembr xctly.do it nicly bcoz it coms evry year.25) der was a sum on coins which increases by 150%.how many times can it be increased in a given range say 500-2000

Paper No 6

1. From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. Whatis the ratio of the uncut to the cut portion?[1] 1 : 3 [2] 4 : 1 [3] 3 : 1 [4] 4 : 3 2. Two liquids A and B are in the ratio 5 : 1 in container 1 and in container 2, they are in the ratio 1 : 3. Inwhat ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B inthe ratio 1 : 1? 3. Out of two -thirds of the total number of basket-ball matches, a team has won 17 matches and lost 3 ofthem. What is the maximum number of matches that the team can lose and still win three-fourths of thetotal number of matches, if it is true that no match can end in a tie?[1] 4 [2] 6 [3] 5 [4] 3 4. A closed wooden box of thickness 0.5 cm and length 21 cm, width 11 cm, and height 6 cm, is panted onthe inside. The cost of painting is Rs 70. What is the rate of painting in rupees per sq. cm?[1] 0.7 [2] 0.5 [3] 0.1 [4] 0.2 5. If a number 774958A96B is to be divisible by 8 and 9, the values of A and B, respectively, will be:[1] 7,8 [2] 8,0 [3] 5,8 [4] None of these 6. Once I had been to the post-office to buy stamps of five rupees, two rupees and one rupee. I paid theclerk Rs 20, and since he did not have change, he gave me three more stamps of one rupee. If thenumber of stamps of each type that I had ordered initially was more than one, what was the totalnumber of stamps that I bought?[1] 10 [2] 9 [3] 12 [4] 8 

7. Given the quadratic equation x2 - (A - 3) x - (A - 2), for what value of A will the sum of the squares ofthe roots be zero?[1] - 2 [2] 3 [3] 6 [4] None of these 8. I sold two watches for Rs. 300 each, one at a loss of 10% and the other at a profit of 10%. What is thepercent loss (- ) or the percent profit (+) that resulted from the transaction?[1] (+) 10 [2] ( -) 1 [3] (+) 1 [4] 0 9. The price of a Maruti car rises by 30% while the sales of the car came down by 20%. What is thepercent change in the total revenue?[1] - 4 [2] - 2 [3] + 4 [4] 0 10. In triangle ABC, angle B is a right angle. If AC is 6 cm, and D is the mid-point of side AC, the lengthof BD is: ADB C[1] 4 cm [2] ? 6 cm [3] 3 cm [4] 3.5 cm DIRECTIONS for Questions 11 and 12: Answer the questions based on the following information:-A, S, M and D are functions of x and y, and they are defined as follows:A(x, y) + x + yS(x, y) = x - yM(x, y) = xyD(x, y) = x/y, where y ? 0. 11. What is the value of M(M(A(M(x, y), S(y,x)), x), A(y, x)) for x = 2, y = 3[1] 50 [2] 140 [3] 25 [4] 70 12. What is the value of S(M(D(A(a, b), 2), D(A(a, b),2)), M(D(S(a, b), 2), D(S(a, b),2)))[1] a² + b² [2] ab [3] a² - b² [4] a/b

13. In the figure ‘O’ is the center of the circle and PT is the tangent to the circle at T. If PC = 4 cm and PT= 8 cm, find the radius of the circle.TB O C P[1] 5.5 cm [2] 6.5 cm [3] 6 cm [4] 7 cm 14. Which of the following value of x do not satisfy the inequality (x² - 3x + 2 > 0) at all?[1] 1 ? ? ? 2 [2] - 1 ? x ? - 2 [3] 0 ? x ? 2 [4] 0 ? x ? - 2 15. A man travels three-fifths of distance AB at a speed of 3a, and the remaining at a speed of 2b. If he goesfrom B to A and back at a speed of 5c in the same time, then:[1] 1/a + 1/b = 1/c [2] a + b = c [3] 1/a + 1/b = 2/c [4] None of these  Answer the questions based on the following data:A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers.Once, by mistake, both the numbers were entered with their digits interchanged. The total sales value remainedthe same, i.e. Rs. 1148, but the inventory reduced by 54. 16. What is the actual price per piece?[1] 82 [2] 41 [3] 56 [4] 28 17. What is the actual quantity sold?[1] 28 [2] 14 [3] 82 [4] 41 In a locality, there are five small towns, A, B, C, D and E. Thedistances of these towns from each other are as follows:AB = 2km AC = 2 km AD > 2 km AE > 3 km BC = 2kmBD = 4 km BE = 3 km CD = 2 km CE = 3km DE > 3 km 18. If a ration shop is to be set up within 2 km of each city, how many ration shops will be required?[1] 2 [2] 3 [3] 4 [4] 5 19. If a ration shop is to be set up within 3 km of each city, how many ratio shops will be required?[1] 1 [2] 2 [3] 3 [4] 4 

 Choose the best alternative:20. The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into fourpieces with weights in the ratio 1 : 2 : 3 : 4. When the pieces were sold, the merchant got Rs. 70,000less. Find the original price of the diamond.[1] Rs. 1.4 lakh [2] Rs. 2.0 lakh [3] Rs. 1.0 lakh [4] Rs. 2.1 lakh 21. A cube of side 12 cm is painted red on all the faces and then cut into smaller cubes, each of side 3 cm.What is the total number of smaller cubes having none of their faces painted?[1] 16 [2] 8 [3] 12 [4] 24 22. The points of intersection of three lines, 2X + 3Y - 5 = 0, 5X - 7Y + 2 = 0, and 9X - 5Y - 4 = 0:[1] form a triangle. [2] are on lines perpendicular to each other.[3] are on lines parallel to each other. [4] are coincident. 23. If n is any odd number greater t han 1, then n(n² - 1) is[1] divisible by 48 always [2] divisible by 24 always[3] divisible by 6 always [4] None of these  Each item has a questions followed by two statements.

Mark [1] if the question can be answered with the help of statement 1 aloneMark [2] if the question can be answered with the help of statement 2 alone.Mark [3] if the question can be answered with the help of both statements but not with the help of eitherstatement alone.Mark [4] if the question cannot be answered even with the help of both the given statements. 24. What is the radius of the inscribed circle of triangle ABC?               I. The area of the triangle is 20 cm²          II. The perimeter of the triangle is 20 cm. 25. What is the value of K?               I. 9x² + kx + 25 is the perfect square.       II. |k| = - k 26. Is the area of triangle ABC equal to that of triangle DEF? The triangles are inscribed in the same circle.               I. Their perimeters are equal.               II. The angles of triangles ABC are respectively equal to the angles of triangle DEF. 27. ABC is a right triangle, with the right angle at B. BD is the bisector of angle B. Is AD > DC?               I. C = 40°                                                 II. Hypotenuse AC = 15 cm. 28. Which has the greater area: rhombus ABCD or square PQRS?               I. Perimeter of rhombus = 8 and one angle measures 30°.               II. Perimeter of square = 4.

PAPER No : 7

# 1         A can do a work in 36 days, B can do the work in 72 days and C can do the work in 78 days. The three take turns in working, i.e. A works on the first day, B works on the second day, C on the third day and so on. Which day will they finish the work? 55 th day 19 th day 54 th day 17 th day# 2         Consider two tumblers, the first containing one litre of milk and the second containing one litre of coffee. Suppose you take one cup of milk out of the first tumbler and pour it into the second tumbler. After mixing you take one cup of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statements holds now? There is less coffee in the first tumbler than milk in the second tumbler. There is more coffee in the first tumbler than milk in the second tumbler. There is as much coffee in the first tumbler as there is milk in the second tumbler. None of the statements holds true.# 3         In a certain coding system used by the military intelligence, URMILA is written as SACHIN. 

KANIKA is written as NOROIN and TANISHA is written as INTERNL. Which of the following cannot be the code for NIKETA? TINORK EINORD MLIONR RLIONS# 4         Susan made a block with small cubes of 7 cubic cm volume to make a block 4 small cubes long, 4 small cubes wide and 10 small cubes deep. She realises that she has used more small cubes than she really needed. She realised that she could have glued a fewer number of cubes together to look like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block? 160 32 128 79# 5         A certain street contains 100 buildings. They are numbered from 1 to 100. How many 9s are used in numbering these buildings? 2120  19 9# 6         A power unit is by the bank of a river 1500m wide. It is required to construct a power plant on the side of the river opposite to the power unit and 3000mfrom the unit. A cable has to be laid from the power unit to the power plant. The cost of laying the cable under water and on the land is Rs 100 per m and Rs 10 per m respectively. If we want to minimize the total cost of laying the cable, where should the plant be located? 750 m from the river bank 1500 m from the river bank 1200 m from the river bank 3000 m from the river bank# 7         A man speaks truth 3 out of 4 times. He throws a die and reports it to be a 6. What is the probability of it being a 6?1 /2 3 /4 5 /8 1 /8# 8         The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a unique product of prime numbers. Now what is the smallest number by which 3380 must be divided in order to make it into a perfect square? 5 8 6 4# 9         Rearrange the following letters to make a word and choose the category in which it fits. RAPETEKA City Fruit Vegetable Bird# 10         How many 8 digit numbers formed using 1,2,3,4,5 with repetition are divisible by 4? 97657 97656 78125 31250# 11         Find the missing number 8 , 1 , 17 , 4 , 35 , 10 , 71 , ?, 143 22

 20 12 21# 12         The cost of making the robot is divided between materials, labour and overheads in the ratio of 4:5:2. If the materials cost $116, the cost of the robot is 255.2 638 319 261# 13         Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.p.A.. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once bought a Ferrari. It could go 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken for Rohit to drive that distance. 29.75 476 15.88 14.88

# 14         A woman has 136 yards of cloth on a single roll, and she wants to divide it into 136 lengths of 1 yard each. It takes her 5 seconds to cut each length. Working non-stop, how long (in seconds) will it take her to cut all 136 pieces?679 675 680 681# 15         4 years ago, Aditya's age was twice Anvesh's age. 4 years hence, Aditya's age will be 4/3 times the age of Anvesh. Find Aditya's present age. 5 years 12 years 9 years 4 years

PAPER NO: 81. Hare in the other. The hare starts after the tortoise has covered 1/3 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/5 of the distance. By what factor should the hare increase its speed so as to tie the race?Ans. 4.402.How many 4 digit numbers can be formed using the digits 1, 2,3,4 ,5 ( but with repetition) that are divisible by 4?Ans. 5^33. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.a)20.72b) 5.18c)238.25d)6.18ans:(b)(time=distance/speed=953/4*464. keywords: alok, bhanu, want to maximize nd other want to minimize.15+X*Y-ZFor these type of ques, remember dis thumb rule..X*Y-Z=18X+Y-Z=11X-Y-Z=2

here Ans: 15+18=33This question was repeated three times in my paper.5. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?ans 12 minprgrmr*min/ loc= prgmr *min/ locThis question was also repeated thrice.a) no of programerb) no lines of codesc) how much time they will take.6. On a sheet of paper, there are 40 statements. Each n statement states that "Atleast n number of statements on this sheet is false". Then which of the following is true.ans first 20 statements are true and last 20 are false.This question was also repeated thrice.a) Atleast wid false    ans first 20 r true and last 20 r false..b) Exactly wid true    ans  39th z true nd rest r falsec) Atmost wid true or false   ans all statements r true7.There are 6 circles on a diagonal of square such that their centre lie on diagonal. Consider that radius of each circle is equal. Find the ratio between side of square and radius of circle.10r+ 2sqrt(2)r= sqrt(2)a nw find a/r.8. There are 6 beer bottle nd one is poisoned. we have mice who will die within 14 hrs after drinkin poisned beer. In 24 hrs we have to find poisoned  beer bottle. How many no of mice we require to find out poisoned bottle.optionsa) 6b) 4c) 3d) 1i hav not answered dis question9. keyword: Alok Bhanu, stack of 20 coins. i move can play. dat z 1th move means to put top coin 1 postion below. gold coin. initialy gold coin is at 3rd position from top. if itz player turns nd player brings gold coin to the top then player z winner. alok starts. which of the following is true.a) alok must play 1th move to win.b) alok must play 0th move to winc) alok has no wining strategyans (a)10  1/3 rd of a number is more 3 than the 1/6th of a number then find the number?Ans:1811. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a)0b)12/212c)11/12d)1/12Ans:a (since 1 letter is in improper envelope other would definitely be in improper envelope)12 There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability isa)3/4b)14/19c)37/38d)1/2ans:b (probability of selecting a box=1/2.now keep 1 red ball in box a and transfer 9 red balls to b,so probability=1/2(1+9/19)13 On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.Find the approximate angle between the hands of a clock on Oz when the time is 9:40 am.a. 251b.111c.29d.89ANS: cFor 12:40 am ans z 8914 Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The

number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 9 points in the plane isa.10b.9c.3d.5ans: b ( m nt sure)15. .Planet fourfi resides in 4-dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.The diameter of the coins should be at least 64mm and not exceed 512mm.Given a coin, the diameter of the next larger coin is at least 50% greater.The diameter of the coin must always be an integer.You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?5968Ans: c(hint:first coin has length 64 mm,2nd coin diamter length 64+(50/100)*64,3rd coin 2nd coins diameter length+50/100 of 2nd coinds lenght,in that way go till you reach maximum diamter length 512!now think!16. The pacelength P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.23.6211.398.78236.16ans:a

17.A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?800500488900ans:side of cube = 5 cmits thichness = 1 cmso volume of outer cube = 5*5*5volume of inner cube = 3*3*3volume of the hollow cube = 5*5*5 - 3*3*3 = 98so total no of small cubes of the size 1 cm = 98/1*1*1 = 98we know a cube has 6 faces so total no of face = 98*6 = 588one surface of outer cube contains a total of 25 surface of smaller cube , so when 4 surface of outer cube is painted total no of surface of small cubes i.e supposed to be painted is 4*25 = 100so the total no of surfaces of small cube that will be remained unpainted is 588-100 = 488no of faces remain unpainted: 588-( 25* no faces painted)18.  10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?A. All suspects are lying or the leftmost suspect is innocent.B. All suspects are lying and the leftmost suspect is innocent .A onlyB onlyNeither A nor BBoth A and B19. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?a)50 b)8 c)60 d)42ans:60There can be lots of logic for this, but approach the simplest one so that we approach to one of the solutions. Suppose the lady first picks 32 Red gloves, and then 24 Yellow gloves. The next pair she pics will be one Yellow and One Blue which does not make a pair. The next two will be blue gloves. So she make a total of 32+24+1+1+2 = 60 picks.20. One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on

the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel – Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?a]Thursdayb]Tuesdayc]Sundayd]MondayANS::ThursdayExplanation :On Thursday, Dwarf says truth. i.e Yesterday(Wednesday) was one of those days when I lies. Its true.On the other hand, On Thursday, Byte lies. i.e Yesterday(Wednesday) was one of those days when I lie too. Its a lie.... So both satisfied. Hence its Thursday.21 The citizens of planet nigiet are 5 fingered and have thus developed their decimal system in base 8.A certain street in nigiet contains 1000 (in base 5) buildings numbered 1 to 1000.How many 3s are used in numbering these buildings? Express result in terms of base 10.a) 54 b)64 c) 75 d) 100

Paper No : 9

1. There are two water tanks A and B, A is much smaller than B. Whilewater fills at the rate of 1 liter every hour in A, it gets filled uplike, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10liters, second hour it has 20 liters and so on). If tank B is 1/32filled of the 21 hours, what is total duration of hours required to fillit completely?ans.-here part filled is 1/32 then 1/32=1/(2)^5. so ans is 21+5.

2. 6 persons standing in queue with different age group, after two yearstheir average age will be 43 and seventh person joined with them. Hencethe current average age has become 45. Find the age of seventh person?ans.-Total age of 6 persons is x hours,after two years total age of 6persons is x+12Average age of 6 persons is after two years is 43So (x+12)/6=43,then x=246After 7th person is added then (246+7th person age)/7=457th person age = 69

3. One statement problem-in this problem ifatleast all statement are true - first part true and last part falseexactly all statement are true - second part true rest is falseatmost all statement are true - all are false.

4. The hare starts after the tortoise has covered 1/5 of its distanceand that too leisurely3. A hare and a tortoise have a race along acircle of 100 yards diameter. The tortoise goes in one direction andthe. The hare and tortoise meet when the hare has covered only 1/8 ofthe distance. By what factor should the hare increase its speed so as totie the race?in this problem atfirst find the ratio of the distance left to cover theturtle and distance by the hare. means-(87.5-20)/12.5=5.4and then 87.5/12.5=7and multiply these two 5.4*7=37.8

5. alok and Bhanu play the following min-max game. Given the expressionN = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alokwould like to maximize N while Bhanuwould like to minimize it. Towards this end, Alok chooses a single digitnumber and Bhanu substitutes this for a variable of her choice (X, Y orZ). Alok then chooses the next value and Bhanu, the variable tosubstitute the value. Finally Alok proposes the value for the remainingvariable. Assuming both play to their optimal strategies, the value of Nat the end of the game would be.ans.- in this problem there is 3 patern 1st X+Y-Z=11X*Y-Z=18X-Y-Z=2 u just add the to the no given.

6.- For the FIFA world cup, Paul the octopus has been predicting thewinner of each match with amazing success. It is rumored that in a match

between 2 teams A and B, Paul picks A with the same probability as A'schances of winning. Let's assume such rumors to be true and that in amatch between Ghana and Bolivia, Ghana the stronger team has aprobability of 2/3 of winning the game. What is the probability thatPaul will correctly pick the winner of the Ghana-Bolivia game?ans.- hare the answer is - 2/3*2/3+1/3*1/3=5/9

7.-After the typist writes 12 letters and addresses 12 envelopes, sheinserts the letters randomly into the envelopes (1 letter per envelope).What is the probability that exactly 1 letter is inserted in an improperenvelope?ans- 0

8.-  There are two boxes, one containing 10 red balls and the othercontaining 10 green balls. You are allowed to move the balls between theboxes so that when you choose a box at random and a ball at random fromthe chosen box, the probability of getting a red ball is maximized. Thismaximum probability isans.- the tricks is - 1/2*1+(n-1)/(n-1+m)*1/2here n is the no. which have to be max. and m is the another no. here mis green ball and n is red ball.here ans is 14/19

9.- A and B play a game of dice between them. The dice consist of colorson their faces (instead of numbers). When the dice are thrown, A wins ifboth show the same color; otherwise B wins. One die has 4 red face and 2blue faces. How many red and blue faces should the other die have if theboth players have the same chances of winning?ans.- here the ans is 3red and 3 blue.

10.-  On planet zorba, a solar blast has melted the ice caps on itsequator. 8 years after the ice melts, tiny plantoids called echina startgrowing on the rocks. echina grows in the form of a circle and therelationship between the diameter of this circle and the age of echinais given by the formulad = 4 * sqrt (t – 8)for t = 8Where the represents the diameter in mm and t the number of years sincethe solar blast.Jagan recorded the time of some echina at a particular spot is 24 yearsthen what is diameter?ans- this is the simple problem just put the value of t and find d.

11.- A circular dartboard of radius 1 foot is at a distance of 20 feetfrom you. You throw a dart at it and ithits the dartboard at some point Q in the circle. What is theprobability that Q is closer to the center of the circle than theperiphery?ans.- here the tricks is (n/2)^2/n^2 here n is the radius of circle.

12.- 36 people {a1, a2, ..., a36} meet and shake hands in a circularfashion. In other words, there are totally 36 handshakes involving thepairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of thesmallest set of people such that the rest have shaken hands with atleast one person in the set is.ans.- hare the tricks is if the handshake is circular and given no iseven-then n/2 if odd then n/3.and if hand shake is non circular then n-1.

13.- Alice and Bob play the following coins-on-a-stack game. 20 coinsare stacked one above the other. One of them is a special (gold) coinand the rest are ordinary coins. The goal is to bring the gold coin tothe top by repeatedly moving the topmost coin to another position in thestack.

Alice starts and the players take turns. A turn consists of moving thecoin on the top to a position i below the top coin (0 = i = 20). We willcall this an i-move (thus a 0-move implies doing nothing). The provisois that an i-move cannot be repeated; for example once a player makes a2-move, on subsequent turns neither player can make a 2-move. If thegold coin happens to be on top when it's a player's turn then the playerwins the game. Initially, the gold coinis the third coin from the top.

ans.- Ans is in order to win, Alice's first move should be a1-move.(This is the final ans.) 14.- The citizens of planet nigiet are 8 fingered and have thusdeveloped their decimal system in base 8. A certain street in nigietcontains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s areused in numbering these buildings?ans.- here the tricks is 8*8+8*8+8*8=192 (here the base is 8)if the baseis n then n*n+n*n+n*n.

15.- Six friends decide to share a big cake. Since all of them like thecake, they begin quarreling who gets to first cut and have a piece ofthe cake. One friend suggests that they have a blindfold friend choosefrom well shuffled set of cards numbered one to six. You check and findthat this method works as it should simulating a fair throw of a die.You check by performing multiple simultaneous trials of picking thecards blindfold and throwing a die. You note that the number shown bythe method of picking up a card and throwing a real world die, sums to anumber between 2 and 12. Which total would be likely to appear moreoften – 8,9 or 10?a) 8 b) All are equally likely c) 9 d) 10ans.- here the ans is 8. because 8 comes in 3 types(4+4,5+3,6+2),9 comesin 2 types(5+4,6+3),and 10 comes 2 types(5+5,6+4).

16.- How many of 14 digit numbers we can make with 1,2,3,4,5 that aredivisible by 4. Repetitions allowed.ans.- here ans is 5^(n-1) n is the 14.

17.- Which is the smallest no which divides 2880 and gives a perfectsquare?a) 4 b) 9 c) 3 d) 5ans.- 2880/5=576 and 576=24*24.

18.- 3 persons a,b,c were there A always says truth,B lies onMonday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .oneday A said”that B & C said to A that” B said “yesterday way one of thedays when I lies”,C said that”yesterday way one of the days when I liestoo”.then which day was that?ans.- the ans of all  this type is Thursday.

19.-There 10 programers, type 10 lines with in 10 minutes then 60lines cantype within 60 minutes. How many programmers are needed?ans.- we have 3 question of this type the solution is based on time andwork.

20.-amrith told to Anand in front of a Photo that “He is the son of myfather’s son”.Find who is in the picture if amrith have no brothers andsisters.ans.- the ans is him means amrith itself.

21.- In T.Nagar the building were numbered from 1 to 100.Then how many4’s will be present in the numbers?ans.- Here if the n's is given then ans is 20. n's is from 2 to 9. andif 1 is given then ans is 21.

22.- If a and b are mixed in 3:5 ration and b and c are mixed in 8:5ration if the final mixture is 35 liters, find the amount of b?ans.- b/(a+b+c)*35.

23.- If there are 30 cans out of them one is poisoned if a person tastesvery little he will die within 14 hours so if there are mice to test and24 hours to test, how many mices are required to find the poisoned can?ans.- 6

24.- A man whose age is 45 yrs has 3 sons named John, Jill, jack. Hewent to a park weekly twice. He loves his sons very much. On a certainday he found the shop keepers selling different things. An apple cost1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has boughtequal number of apple, chocolate & banana for each son. If the totalamount he invest is 7 penny then how many he has bought from each piecefor his son?ans.- 1 apple,2 chocklets,1bananas.simply 1 2 1.

25.- There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Julivisited that temple. (Some unrelated stuff) Linda is taller than Chelseaand taller than 2 of 1000 pillars. Julia is shorter than Linda. Find thecorrect sentence?ans.-here p>j

26.-A lady has fine gloves and hats in her closet- 18 blue, 32 red, and    25 yellow. The lights are out and it is totally dark. In spite of thedarkness, she can make out the difference between a hat and a glove. Shetakes out an item out of the closet only if she is sure that if it is aglove. How many gloves must she take out to make sure she has a pair ofeach color?ans.- Here the tricks is at first take the ball is max. and then takesecond max. no. and 2. here ans is 32+25+2.

27.- A scientist was researching on animal behavior in his lab. He wasvery interested in analyzing the behavior of bear. For some reason hetravelled 1mile in north direction & reached at North Pole. There he sawa bear. He then followed the bear around 1 hr with a speed of 2km/hr ineast direction. After that he travelled in south direction & reached athis lab in2 hrs. Then what is the color of the bear?ans.- ans is white bear.

Paper No: 10

Q1. (1/2) of a number is 3 more than the (1/6) of the same number?a) 6 b) 7 c) 8 d) 9 Solution:Let the number be x,((1/2)*x)=3+(1/6)*x,Then solve x Q2. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?a) 26 B) 25 c) 5 d) 27 Solution: for every hour water in tank in B is doubled, Let the duration to fill the tank B is x hours. x/32 part of water in tank of B is filled in 21 hours, Next hour it is doubled so, 2*(x/32) part  i.e (x/16) part  is filled in 22 hours,Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours, (x/2)th part is filled in 25 hours, (x)th part is filled in 26 hoursSo answer is 26 hours. Q3. Out of 7 children the youngest is boy then find the probability that all the remaining children are boysa) 1/64 b) 1/32 c) 1/128 d) 1/256 Solution: Probability of a boy or girl is ½So for remaining 6 it’s – {1/2}^6= 1/64 Q4. A lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?a) 50 b) 8 c) 40 d) 42 Solution:This is the most repeated question in Tcs so prepare it well. It has no logic but it’s answer comes like thisFirstly add 2 max values i.e 20+18=38Then add 2 to answer i.e. 38+2=40 so this is the answer. Q5. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?a) 1/2 b) 1/6 c) 1/12 d) 6/10 Solution is ½.

 Q6. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?a) 17 b) 21.25 c) 12.25 d) 14.05 Solution: radius =7mm, then diameter 2*radius, substitude diameter the in above equation you will get answer Q7. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.a) 20.72 b) 3.5 c) 238.25 d) 6.18 Solution: Speed of Ferrari =4*35=140,time=distance/velocity, Q8. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?a) 4 b) 5 c) 6 d) 7 Solution: Will be 5.For 31p, we divide it 1,2,4,8,16. Q9. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?a) loss 23 b) gain 23 c) gain 54 d) Loss 54 Solution: 23 lossas he has to pay 35 dollar to neighbor he has only 31 remainingso 35-31=4and cycle costs 19 dollarso total loss=19+4=23 dollar Q10. If there are 30 cans out of them one is poisened if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisened can?A) 3 B) 2 C) 6 D) 1 Solution: 1Because in that problem they didn't mention the details like,one mice take 2 hr or 3hr etc. They told only 24 hr to test. So 1 mice is enough rest are useless words. Q11. A Sheet of paper has statements number from 1 to 20. Statement n says "At least n of the statements on this sheet are true". Which statements are true and which are false. a. The even no statements are true and the odd no statements are false.b. The 1st 13 statements are false and rest are true.c. The 1st 6 statements are true and rest are falsed. The odd no statements are true and even no. are false. Solution: This type of question was repeated 3 times but for different case.For this type of Questions, follow this:At least- Ist half are true, Last half are falseExactly- Last second one is true or (N-1)th Statement is trueAlmost- All are true.So correct answer is (C) Q12.  On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am. 

Solution: 89 deg36 hours a day mane the clk will be of 18 hours.18 hours covrs 360 degThus 1 hour covrs 20 deg12 hours covers 12*20=240 degekhon,1 hour in 90 minthus in 90min the hour hand goes 20degtai, for 1min hr hand goes 2/9degsei jonne, for 40 min hour hnd goes (2/9)*40deg=80/9deg=9deg(approx)thus hr hand covrs total of 240+9=249degnow min hand covrs=40*4=160deg(karon, 90min=360deg1min=4deg)hus angle betwn them 249-160=89deg Q13. There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that is not needed for the question) All of the following combinations are possible to make a perfume except:1) Balsamic and Lilac2) Woody and Lemon3) MI mosaic and Woody4) MI mosaic and Lilac Solution: First is acceptable for perfume since balsamic and liliac are given to be present and second is also acceptable as lemon can be added with any of four, third is also acceptable as given in question left fourth is not acceptable as MI mosaic is always with woody and balsamic is always with liliac. Therefore combination of MI mosaic and liliac cant occur because woody and balsamic are never together Q14: Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be? Note: For this type of questions:x+y-z=11x-y-z=2x*(y+z)=18What should be the approach to do such type of prob? Solution: This question was repeated 3 times for different casesYeah TCS has this 3 type of questions where there isx+y-z,=11x-y-z ==2and x*(y+z)=18 If an integer is added to any of the above equations just add the integer to the value of the equations. For example in this case it would be 15+18=33. (don't ask me for explanations why this value comes for those equations. It took me some gruelling sessions to understand that) Q15. Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statement holds now? a) There is less coffee in the first tumbler than water in the second tumblersb) There is more coffee in the firs tumbler than water in the second tumblerc) There is as much coffee in the first tumbler as there is water in the second tumblerd)None of the statements holds true Solution: aThere is less coffee in the first tumbler than water Q16. Shreya writes 1st 100 whole num. let A and B be the num of times she writes 0 and 9 respectively, find the value of A+B 

Solution:First 100 whole nos=0 to 99.thus A=no.of 0's=(0,10,20,30,40,50,60,70,80,90)=10B=no. of 9's=(9,19,29,39,49,59,69,79,89,90,91,92,93,94,95,96,97,98,99)=20A+B=30 Q17. When my uncle died, he left a will instructing his executers to divide his estate of 19,80,000 in this manner.Every son should receive 3 times as much as a daughter and that evry daughter should get twice as much as their mother. what is my aunt's maximum share if my uncle has atleast one son and one daughter?(a) 19,80000 (b) 9,90,000 (c) 3,30,000 (d) 2,20,000 (e) 1,98,00 Solution:1+2+6=91980000/9=220000220000(mother)440000(daughter)1320000(brother)Answer is 220000(d) Q18. There are 3 boys A,B,C and 2 girls D,E. D always sit right to A.girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. who is sitting immediate right to E? Solution:A D B E Cright of e is c

Paper no: 11 1) (1/3) of a number is 3 more than the (1/6) of the same number?a) 6 b) 16 c) 18 d) 21Ans- x/3=x/6 +3 …..solve ans is 182) There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160. If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely?a) 9 B) 8 c) 7 d) 6This question repeated two times in my paper Ans: (b) these type of que are repeated frequently but the numeric values change.Simple approach is- count the number of hours taken to fill the part of the tank from the given  part  ie. Initially the tank is 1/32 then after 1 hour it will become 1/16 then 1/8 then ¼ then ½ then 1. Here 1 is the state when the tank is full so the number of hours is (1+1+1+1+1)=5. Now add this number of hours to the given time ie 5+3=8 3) A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?a) 50 b) 8 c) 60 d) 42Ans: Do not get trapped in these type of questions .a very simple trick to solve these type of question is just see the max and the middle value of gloves and hats …ie 32 and 25 . just add max+min_values +2 or 1 or 3 ie 32+25+3=60 the answer will definitely fall in this range as 60 here4) Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?a) 257 b) 256 c) 72 d) 255Ans: (255) there are two varieties of this type of que in one they ask about the number of matches in the first round …so solution to that is 2^(number of rounds)…ie 2^8=256 another variety is the number of matches played in the  tournament so ans is 2^(number of teams )-1 ..ie 2^8 -1=2555) Ferrari S.P.A is an Italian sports car manufacturer based in Marane llo, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.a) 20.72 b) 5.18 c) 238.25 d) 6.18

Ans very simple question approach is time =dist./speed ie 953/(4*35)=6.18 6) how many 8 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed? Ans: (78125) simple trick to these type of que is that 5^(number of digits-1) ie 5^(8-1) i.e. 5^(7)=78125By math’s first 6 digits of the 8 digit number can be filled in by using any 5 digits given so it come out (5*5*5*5*5*5) and last two must be divisible by 4 ie (44,52,32,12,24) are the 5 possibilities. So the anwer is (5*5*5*5*5*5*5=5^7)7) Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?a) 37.80  b)8  c) 40  d) 5Ans: 37.808) Alok and Bhanu play the following min-max game. Given the expressionN = 9 + X + Y - Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would bea) 0 b) 27 c) 18 d) 20 Ans: Do not get trapped in this que i am giving a very short trick that guarantees 100% correct solution just add the  following number if the que contains the following changes X*(Y-Z) then add  18 to the given constant to get N….ie 9+18=27X+(Y-Z) = then add the 12 ie 9+11=20X-(Y-Z)  is  then add 2 ie 9+2=11 9) For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?a)1/9    b)4/9    c)5/9    d)2/3Ans: 5/9….just do 1-(probability)^2…..1-(2/3)^211). On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny planetoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formulad = 4 * sqrt (t – 8)for t = 8Where the represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?a) 8 b) 16 c) 25 d) 2 Ans: Put the value of years in equation and get the answer ie 10) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ' Which statements are true and which are false?a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false.d)  The first 35 statements are false and the last 35 are false.Ans: c There are two more varieties of this type of questions. I am giving those also below just concentrate on the part underlined in the questions and mark the answer. 11) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?a) The even numbered statements are true and the odd numbered statements are false. b) The odd numbered statements are true and the even numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false.Ans: d

12) The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?a) 6   b) 18  c) 72  d) 12 Ans: d (w1/w2=m1*t1/m2*T2) 13) A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?a)0.75 b)1 c)0.5, d)0.25Ans: Probability=  (area of inner circle)/(area of outer circle)i.e (r/2)^2/r^2 =1/4=0.25 14) After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a) 0  b) 1/12  c) 11/12  d) 12/212 Ans: 0 This questions repeated in my paper thrice. 15) Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines isa) 4  b) 3  c) 1  d) 0 Ans: 4 If it is given line then there are 4 points – one inCentre and three circumcentresIf it it given line segment then and is 1 bcoz only one incentre is there 16) For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?a) 5/9  b) 1/9  c) 2/3  d) 4/9 Ans: 5/9 17) Mr. Bean went to a shop for buying a gift to his wife on her Birthday. He bought 28 purple marbles as her wife was fond of marbles. He also bought 21greem marbles. While coming out of the shop on the way he also bought 24 red, 42 yellow and 12 pink marbles and he put them all in a bag. When he was returning back to the home a lightning occurred and suddenly due to some reasons the red, green, and yellow balls got converted into white color. But in spite of this Mr. Beans decided to give few marbles to his lovely wife. So, how many times he should put his hand in the bag so that he can gift his wife at least one ball of each color.Ans: logic is same as I told in the question 3 i.e 24+42+2=6818) Alice and Bob play the following coins-on-a-stack game. 50 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 ≤ i ≤ 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Thena) In order to win, Alice’s first move should be a 0-move. b) In order to win, Alice’s first move should be a 1-move. c) Alice has no winning strategy. d) In order to win, Alice’s first move can be a 0-move or a 1-move Ans: (d) In this type of question if the coin is at the 3 position (as here )then the answer is d otherwise at the 1 or second position of the coin the answer is always. No chance of winning ie C 

19) There is a planet oz . The people there are  four fingered and reside in 4 – dimensional space and thus the currency used by its residents are 3 – dimensional objects. The rupees notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins. · The diameter of the coins should be at least 16mm and not exceed 64mm· Given a coin, the diameter of the next larger coin is at least 50% greater.· The diameter of the coin must always be an integer.You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design? Ans: 4At least 16 coins so the series is 16, (16+16/2)= 24 , (24+24/2)=36, (36+36/2)=54. Now next value of coin exceeds 64 so the number of coins is 420) 21 people meet and shake hands. The maximum number of handshakes possible if there is to be no ‘cycle’ of handshakes is (A cycle of handshakes is a sequence of people a1, a2, … , aK such that the pairs (a1, a2), (a2, a3),… , (a (k-1), a k) , (ak, a1) shake hands.a) 17   b) 18   c) 19   d) 20 Ans: n 21) 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true? A. All suspects are lying. B. leftmost suspect is innocent.C. leftmost suspect is guiltya) A only    b) A or C   c) A or B    d) B only            Ans: c 22) In planet OZ planet there are 8 days, Sunday to Saturday and 8th day is Oz day. There is 36 hours in a day. What is angle between 12.40?a) 80  b) 81  c) 87  d) 89                                    Ans: 89 23) 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}.  Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set isa) 13  b) 18  c) 11  d) 12Ans:18 24) The pace length P is the distance between the rear of two consecutive footprints. For men, the formula, n/P = 144 gives an approximate relationship between n and P where, n = number of steps per minute and P = pace length in meters. Bernard knows his pace length is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.a) 23.62  b) 8.78  c) 11.39  d) 236.16Ans: 236.16    (144*1.64 m) 25) Anoop managed to draw 7 circles of equal radii with their centers on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.a) 1:(4+ 7v3)  b) 1:(2+ 6v2)c) 1:(2+ 7v2)  d) (2+ 7v2):1Ans: b 26) There are 1000 pillars for a temple. 3 friends Linda, Chelsea, Juli visited that temple. (Som unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Juli is shorter than Linda. Find the correct sentence? a) Linda is shorter among themb) Chelsea is taller than Julic) Chelsea is shorter than Julid) Cannot determine who is taller among Chelsea and JuliAns: d Friends there is a trick of solving this questions any question in the paper of TCS that involves comparison the answer is always –cannot determine 

27) Horse started to chase dog as it relieved stable two hrs. ago.  And horse started to ran with average speed 22km/hr., horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs., 2hrs after sunset it got dog. compute the speed of dog? Ans: As we have speed and travel time of horse, we can get distance travelled by it.  Hence d = 22*6 = 132km, Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).Hence speed of dog = 132/8 = 16.5km/hrAns: 16.5km/hr. 28) Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e. no three points in P lie on a line) isa) 3   b)  5  c)   2 Ans: 5 Friends there is a trick of solving this questions any question in the paper of  TCS that involves points separated by line with a set of points points each side the answer is the  number of points in plane as 5 here the answer is always –cannot determine 29) Alok and Bhanu play the following min-max game. Given the expressionN =9+ X + Y - Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would bea) 0 b) 27 c) 18 d) 20Ans: 20 Here it is X+Y-Z  then add the 11 so ans is (11+9)=20 30). The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?a) 54 b) 64 c) 265 d) 192Ans: 192

Paper No: 121) How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? 5^(n-1) Can you help Alok find the answer?a) 100   b) 125   c) 75    d) 85 2) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called  echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formulad = 4* (t-9) for t ≥ 9where d represents the diameter in mm and t  the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 12mm. How many years back did the solar blast occur?a) 17   b)   21.25  c)   12  d) 12.06Ans: c3) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If  the speed of Mohan's Mercedes is 46 km/hr and the distance traveled  by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.a)   20.72    b)  5.18   c) 238.25  d) 6.18

Ans: b4) There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?

a)  26 hrs    b) 25 hrs     c) 5 hrs   d) 27 hrsAns: a 5)There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. (At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/16 filled after 4 hours, what is the total duration required to fill it completely?a)       8hrs   b)      25 hrs     c)      5 hrs   d) 27 hrsAns: a  6) Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red , 10 white , 25 yellow, 55 purple, 30 orange. The lights are out and it is totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of  each colour of blue, red, yellow?a)  59  b)  8  c) 50   d) 42Ans: a(32+25+2)7) The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?a) 6   b) 18  c) 72  d) 12Ans: d (w1/w2=m1*t1/m2*T2)8) The citizens of planet nigiet are 6 fingered and have thus developed their decimal system in base 6. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?a) 256     b) 54      c) 192       d) 108                      Ans: d9) 12 people {a1, a2, …, a12} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a11, a12}, {a12, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set isa) 12   b) 4     c) 18    d) 11      Ans: B10) Alice and Bob play the following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 100). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move.If the gold coin happens to be on top when it’s a player’s turn then the player wins the game.A. Alice has no winning strategy.B. Initially, the gold coinis the third coin from the top. ThenC. In order to win, Alice’s first move should be a 0-move.D. In order to win, Alice’s first move should be a 1-move.Ans: D11) 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ……, {ak-1, ak}, {ak, a1} shake hands).a)7      b) 6     c) 9     d) 8Ans: c12) After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a) 0      b) 12/212    c) 11/12     d) 1/12     Ans: a13) 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?A. All suspects are lying   B. leftmost suspect is innocent .C.  leftmost suspect is guiltya) A only    b) A or C     c) A or B    d) B only             Ans: c14) Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is

a) 4    b) 3   c) 0    d) 1Ans: a 3 lines are given so ans is 4 one incenter and 3 excenters. If it is 3 line segments then ans would be 115) Alok and Bhanu play the following min-max game. Given the expression - N = 15 + X*(Y – Z)

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would beAns: 15+18 =3316) A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as the win the race?(for this values are changed)a) 8   b) 5   c) 37  d) 80                  Ans: c17) A sheet of paper has statements numbered from 1 to 45. For all values of n from 1 to 45, statement n says “At most n of the statements on this sheet are false”. Which statements are true and which are false?A. The odd numbered statements are true and the even numbered are false. B. The even numbered statements are true and the odd numbered are false.C. All statements are true.             Ans: c18) A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 1face of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?a) 900  b) 488   c) 563   d) 800    Ans: c19) The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How many lines of code can be written by 72 programmers in 72 minutes?a) 72     b) 432     c) 12     d) 144 Ans: b20) The teacher is testing a student’s proficiency in arithmetic and poses the following question. 1/3 of a number is 3 more than 1/6 of the same number. What is the number? Can you help the student find the answer?a) 12    b) 18     c) 6     d) 21   Ans: bAlok and Bhanu play the following min-max game. Given the expressionN = X – Y – Z21) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would bea) 2    b) 4     c) 9    d) -18 Ans: a22) Horse started to chase dog as it relieved stable two hrs ago.  And horse started to ran with average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog. compute the speed of dog?Ans: As we have speed and travel time of horse, we can get distance travelled by it.  Hence d = 22*6 = 132km,Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).Hence speed of dog = 132/8 = 16.5km/hrAns: 16.5km/hr.

23) A and B play a game between them. The dice consist of colors on their faces(instead of number). When the dice are thrown, A wins if both show the same color, otherwise B wins. One die has 3 red faces and 3 blue faces. How many red and blue faces should the other die have if the both players have if the both players have the same chances of winning?a) 5 red and 1 blue faces.b) 1 red and 5 blue faces.c) 3 red and 3 blue faces.Ans: c24) In planet OZ planet there are 8 days, sunday to saturday and 8th day is Oz day. There is 36 hours in a day. What is angle between 12.40?a) 80  b) 81  c) 87  d) 89                                    Ans: 89Paper no:

1. A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live?(a) 70   (b)  69   (c) 71    (d) 722. A horse starts to chase a dog that has left the stable two hours earlier. The horse runs at an average speed of 2km/hr.  It crosses a 10-metre road, two small ponds 3 metres deep, and finally runs along two small streets of 200 metres long. After traveling 6 hrs, 2hrs after sunset, it catches the dog. Compute the speed of the dog in Km/hr?(a) 20      (b) 22     (c) 16.5      (d) 18.53. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian Athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?(a) 30         (b) 32               (c) 41               (d) 544. If an airplane starts at point R and travels 14 miles directly north to S, then 48 miles directly east to T, what is the straight-line distance (in miles) from T to R?(a) 25          (b) 34           (c) 50         (d) 25005. A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled  a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear? (a) Black    (b) White          (c) Red             (d) Blue6. A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement?(a) 1700     (b) 1000           (c) 3000           (d) 27007. Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years?(a) Rs. 22,781.25   (b) Rs. 24,150.25  (c) Rs. 28,140.50  (d) Rs. 18,0008. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?(a) Rs.800     (b) Rs.600     (c) Rs.200      (d) Rs.700     9. A train starts full of passengers. At the first station, it drops one-third of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning.(a) 240       (b) 248             (c) 280             (d) 28810. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer?(a) Rs.12000   (b) Rs.13000    (c) Rs.14000    (d) Rs.1500011. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?(a) 10   (b) 20   (c) 8    (d) 1912. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. find the age of seventh person?(a) 69    (b) 70    (c) 40    (d) 4513. 3, 22 , 7, 45, 15, ? , 31(a) 45     (b) 90   (c) 91  (d) 35 14. Which is the smallest no divides 2880 and gives a perfect square? (a) 1    (b) 2   (c) 5   (d) 6  15. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?(a) 5   (8) 10    (c) 8   (d) 15       16.  It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color? (a) 2    (b) 3   (c) 48   (d) 2517. 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.(a) 22    (b) 23     (c) 44     (d) 4618. There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader. (1) 5    (2) 6   (3) 7   (4) None    

19. Middle – earth  is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different   rounds where in every round , half of the teams get eliminated from the tournament. If  there are 8 rounds played in a knock-out tournol how many matches were played?(a) 257  (b) 256   (c) 72  (d) 255       20. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. ( At the end of first hour, B has 10 litres, second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?(a)   26 hrs     (b) 25 hrs     (c) 5 hrs    (d) 27 hrs     21. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?(a) 2.4 mph     (b) 4 mph    (c) 4.8 mph    (d) 5 mph       22. A pizza shop, there were 2 kinds of pizzas available. But now they have introduces 8 new types, a person buy two different type pizzas of new type in how many ways he can select?(a) 24        (b) 43         (c) 56     (d) 5823. A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there?(a) 100     (b) 114    (c) 200     (d) 20824. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?(a) 8   (b) 14   (c) 16   (d) 1825. A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand.(a) 11a.m         (b) 12a.m         (c) 10a.m      (d) 10.30p.m26. 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples?(a) Rs10         (b) Rs15          (c) Rs20            (d) Rs2527. If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.(a) 40%          (b) 55%       (c) 35%         (d) 30%           28. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train?(a) 100m        (b) 75m       (c) 120m           (d) 50m29. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary?(a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 90030. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010(a)  Sunday   (b) Saturday   (c) Friday   (d) Wednesday31. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?(a) 360   (b) 480    (c) 720   (d) 504032. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?(a) 23 years   (b) 24 years  (c) 25 years     (d) None of these33. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? (a) 4   (b) 10   (c) 15    (d) 1634. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number? (a) 240            (b) 270          (c) 295         (d) 36035. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:(a) 1 hour  (b) 2 hours           (c) 3 hours        (d) 4 hoursNew Paper: 1. There are 150 weights. Some are 1 kg weights and some are 2 kg weights. The sum of the weights is 260. What is the number of 1kg weights?Ans: 402. A is driving on a highway when the police fines him for over speeding and exceeding the limit by 10 km/hr. At the same time B is fined for over speeding by twice the amount by which A exceeded the limit. If he was driving at 35 km/hr what is the speed limit for the road? Ans: 15 kmph3. A moves 3 kms east from his starting point . He then travels 5 kms north. From that point he moves 8 kms to the east. How far is A from his starting point? Ans: 13 kms

4. A car travels 12 kms with a 4/5th filled tank. How far will the car travel with 1/3 filled tank?Ans: 5 kms5. The sum of the digits of a two digit number is 8. When 18 is added to the number, the digits are reversed. Find the number?Ans: 356. The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost? Ans: 277. Fathers age is 5 times his son’s age. 4 years back the father was 9 times older than son. Find the fathers’ present age.Ans: 40 years8. What number should be added to or subtracted from each term of the ratio17 : 24 so that it becomes equal to  1 : 2 ?Ans: 10 should be subtracted9. What is the 12th term of the series 2, 5, 8, ….Ans: 3510. If 20 men take 15 days to to complete a job, in how many days can 25 men finish that work?Ans: 12 days11. In a fraction, if 1 is added to both the numerator at the denominator, the fraction becomes 1/2. If numerator is subtracted from the denominator, the fraction becomes 3/4. Find the fraction.Ans. 3/712. If Rs.1260 is divided between between A, B and C in the ratio 2:3:4, what is C’s share?Ans: Rs. 56013. A shopkeeper bought a watch for Rs.400 and sold it for Rs.500.What is his profit percentage?Ans: 25%14. What percent of 60 is 12?Ans: 20%15. Hansie made the following amounts in seven games of cricket in India: Rs.10, Rs.15, Rs.21, Rs.12, Rs.18, Rs.19 and Rs.17(all figures in crores of course).Find his average earnings. Ans: Rs.16 crore16. If two pencils cost 8 cents, then how much do 5 pencils cost?Ans: 20 cents17. Some work is done by two people in 24 minutes. One of them can do this work alone in 40 minutes. How much time does the second person take to do the same work ? Ans: 60 minutes18. A car is filled with four and half gallons of fuel for a round trip.If the amount of fuel taken while going is 1/4 more than the amount taken for coming, what is the amount of fuel consumed while coming back? Ans: 2 gallons19. The lowest temperature in the night in a city A is 1/3 more than 1/2 the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the low temp? Ans: 40 degrees20. Javagal, who decided to go to weekened trip should not exceed 8 hours driving in a day. The average speed of forward journey is 40 miles/hr.Due to traffic on sundays, the return journey’s average speed is 30 m/h. How far he can select a picnic spot? Ans: 120 miles21. A salesperson by mistake multiplied a number and got the answer as 3, instead of dividing the number by  3.What is the answer he should have actually got?Ans: 322. A building with height D shadow upto G. What is the height of a neighbouring building with a shadow of C feet.Ans: (C*D)/G23. A person was fined for exceeding the speed limit by 10 mph. Another person was also fined for exceeding the same speed limit by twice the same. If the second person was travelling at a speed of 35 mph, find the speed limit.Ans: 15 mph24 A bus started from bus stand at 8.00am, and after staying for 30 minutes at a destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus is 18mph. During the return journey bus travels with 50% faster speed. At what time does it return to the bus stand? Ans: 11.00am25. In a mixture, R is 2 parts and S is 1 part. In order to make S to 25% of the mixture, how much of R is to be added? Ans: One part of R26. Wind flows 160 miles in 330 min, for travelling 80 miles how much time does it require? Ans: 2 hrs 45 mins27. With a 4/5 full tank a vehicle can travel 12 miles, how far can it travel with a 1/3 full tank Ans: 5 miles28. There are two trees in a lawn. One grows at a rate 3/5 of the other in 4 years. If the total growth of trees is 8 ft. What is the height of the smaller tree after 2 years Ans: 1 1/2 feet

29. Refer to the figure below. A ship started from P and moves at a speed of I miles per hour and another ship starts from L and moving with H miles per hour simultaneously .Where do the two ships meet?||—g—||—h—||—i—||—j—||—k—||—l—|| PG H I J K L are the various stops in between denoted by || . The values g, h, i, j, k, l denote the distance between the ports. Ans: Between I and J, closer to J30. If A is travelling at 72 km per hour on a highway. B is travelling at a speed of 25 meters per second on a highway. What is the difference in their speeds in m/sec. Ans: 1 m/sec31. If the word ‘ddosszm’ is changed to ‘central’ then what will be the change for ‘rtjbl’ ? Ans: quick32. The word unimpressive was given.they asked us to do change 1st & 2nd,3rd & 4th,so on.then they asked what will be 10th letter from right? Ans: m33. The ques on a man,a woman and a boy finish work together in 6 days.man takes 10 days,woman takes 24 days then how much boy will take? Ans: 40 days34. If DDMUQZM is coded as CENTRAL then RBDJK can be coded as ——— Ans: QCEIL35. In the word ECONOMETRICS, if the first and second , third and forth ,forth and fifth, fifth and sixth words are interchanged up to the last letter, what would be the tenth letter from right?Ans: word is CENOMOTEIRSC tenth word is R36. Find the physical quantity in units from the equation: (Force*Distance)/(Velocity*Velocity)Ans: Ns2/m37. Find the value of @@+25-++@16, where @ denotes “square” and + denotes “square root”.Ans: 62138. If f(0)=1 and f(n)= f(n-1)*n, find the value of f(4).Ans: 24

Paper No: 131. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian Athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?(a) 30 (b) 32 (c) 41 (d) 54 2. (1/3) of a number is 5 more than the (1/6) of the same number?a) 6 b)36 c)30 d)72 3. There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160. If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely?a) 9 B) 8 c) 7 d) 6 4. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes oes she need to make a perfect cube?a) 910 b) 250 c) 750 d) 650 5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? 6. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?a) 22 b) 20 c) 10 d) none

7. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?a) 256 b) 512 c) 64 d) 1288. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?a) 122 b) 66 c) 48 d)1 289. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?a) 6 b) 21 c) 28 d) 7

10. 20 men handshake with each other without repetition. What is the total number of handshakes made?a) 190 b) 210 c) 150 d) 25011. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?a) 17 b) 21.25 c) 12.25 d) 14.0512. A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?a) North b) South c) East d) West13. In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?a) 18 b) 19 c) 20 d) 21.14. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.a) 20.72 b) 3.5 c) 238.25 d) 6.1815. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false.d) The first 35 statements are false and the last 35 are false.16. If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can?a) 3 b) 2 c) 6 d) 117. It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?a) 2 b) 3 c) 48 d) 2518. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?a) 57 b) 56 c) 59 d) 5819. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. 

The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) isa) 3   b) 5   c) 2   d) 1Ans: 520. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?a) 54 b) 64 c) 265 d) 192Ans: 19221. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines isa) 1  b) 3  c) 4  d) 022. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?a) 37.80  b)8  c) 40  d) 5Ans: 37.80

23. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?a) 16 b) 6 c) 10 d) 6024. Alok and Bhanu play the following min-max game. Given the expressionN = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu 

would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would bea) 0 b) 27 c) 18 d) 2025. Alice nd Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then

a) In order to win, Alice's first move should be a 1-move.b) In order to win, Alice's first move should be a 0-move.c) In order to win, Alice's first move can be a 0-move or a 1-move.d) Alice has no winning strategy.26. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?a)1/9    b)4/9    c)5/9    d)2/3Ans: 5/927. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set isa)12    b)11    c)13    d)18Ans: 1828. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.29. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability isa)1/2    b)14/19     c)37/38 d)3/430. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?a) 0.75    b) 1    c) 0.5    d) 0.2531. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false. b) The odd numbered statements are true and the even numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false.Paper no: 1.  A Roman was born the first day of the 35th year before Christ and died the first day of the 35th year after Christ. How many years did he live?           (a) 70            (b) 69            (c) 71        (d) 722. A horse starts to chase a dog that has left the stable two hours earlier. The horse runs at an average speed of 2km/hr.  It crosses a 10-metre road, two small ponds 3 metres deep, and finally runs along two small streets of 200 metres long. After traveling 6 hrs, 2hrs after sunset, it catches the dog. Compute the speed of the dog in Km/hr?      (a) 20          (b) 22               (c) 16.5            (d) 18.5 3. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian Athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?

       (a) 30         (b) 32               (c) 41               (d) 54 4. If an airplane starts at point R and travels 14 miles directly north to S, then 48 miles directly east to T, what is the straight-line distance (in miles) from T to R?       (a) 25          (b) 34           (c) 50         (d) 2500 5. A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled  a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear?       (a) Black    (b) White          (c) Red             (d) Blue 6. A garrison of 3300 men has provisions for 32 days when supplied at the rate of 850 g per head. At the end of 7 days, a reinforcement arrives, and it is found that the provisions can last for 17 days more when supplied at the rate of 825 g per head. What is the strength of the reinforcement? (a) 1700     (b) 1000           (c) 3000           (d) 2700 7. Two unemployed young men decided to start a business together. They pooled in their savings, which came to Rs. 2,000. They were both lucky, their business prospered and they were able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years?       (a) Rs. 22,781.25      (b) Rs. 24,150.25         (c) Rs. 28,140.50        (d) Rs. 18,000 8. A man divides Rs.8600 among 5 sons, 4 daughters and 2 nephews. If each daughter receives four times as much as each nephew, and each son receives five times as much as each nephew, how much does each daughter receive?       (a) Rs.800            (b) Rs.600           (c) Rs.200              (d) Rs.700      9. A train starts full of passengers. At the first station, it drops one-third of the passengers and takes 280 more. At the second station, it drops one-half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. Find the number of passengers in the beginning. (a) 240       (b) 248             (c) 280             (d) 288 10. A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer?       (a) Rs.12000            (b) Rs.13000            (c) Rs.14000              (d) Rs.15000 11. In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?      (a) 10                 (b) 20             (c) 8                 (d) 19 12. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. find the age of seventh person?        (a) 69           (b) 70            (c) 40            (d) 45 13. 3, 22 , 7, 45, 15, ? , 31         (a) 45           (b) 90           (c) 91         (d) 35 14. Which is the smallest no divides 2880 and gives a perfect square? a.1    b.2   c.5   d.6  15. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?     (a) 5           (8) 10               (c) 8             (d) 15       16.  It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?        (a) 2            (b) 3           (c) 48               (d) 25

17. 23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.        (a) 22          (b) 23                (c) 44                (d) 4618. There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader.         (1)  5     (2)   6      (3)  7   (4)  None     19. Middle – earth  is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different   rounds where in every round , half of the teams get eliminated from the tournament. If  there are 8 rounds played in a knock-out tournol how many matches were played? a)      257        (b) 256       (c) 72     (d) 255        20. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B.( At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely? a)      26 hrs     (b) 25 hrs     (c) 5 hrs    (d) 27 hrs      21. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?        a) 2.4 mph         (b) 4 mph          (c) 4.8 mph          (d) 5 mph        22. A pizza shop, there were 2 kinds of pizzas available. But now they have introduces 8 new types, a person buy two different type pizzas of new type in how many ways he can select?       (a) 24        (b) 43         (c) 56         (d) 5823. A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is                     264kg. How many 2kg packets are there?        (a) 100            (b) 114            (c) 200            (d) 208 24. A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?         (a) 8          (b) 14            (c) 16          (d) 18 25. A bus started from bus stand at 8.00a m and after 30 min staying at destination, it returned back to the bus stand. The destination is 27 miles from the bus stand. The speed of the bus 50 percent fast speed. At what time it returns to the bus stand.        (a) 11a.m         (b) 12a.m         (c) 10a.m      (d) 10.30p.m 26. 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples?        (a) Rs10         (b) Rs15          (c) Rs20            (d) Rs25 27. If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.

      (a) 40%          (b) 55%       (c) 35%         (d) 30%            28. Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train?       (a) 100m        (b) 75m       (c) 120m           (d) 50m 29. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary?(a) Rs.500 (b) Rs.1500 (c) Rs.1000 (d) Rs. 900 30. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010       (a)  Sunday          (b) Saturday             (c) Friday           (d) Wednesday 

31. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?       (a) 360          (b) 480           (c) 720       (d) 5040 32. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?       (a) 23 years        (b) 24 years           (c) 25 years          (d) None of these 33. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?       (a) 4         (b) 10           (c) 15          (d) 16 34. The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?        (a) 240            (b) 270          (c) 295         (d) 36035. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:       (a) 1 hour               (b) 2 hours           (c) 3 hours        (d) 4 hour

Paper no:14

Q1. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position(.i.e no three points in P lie on a line) is

a)3   b)5   c) 2   d)1Ans: 5

Q2. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?

a) 54 b) 64 c) 265 d) 192Ans: 192Some times base value is chang like: 9finger, 1 to 100(base 9)

Q3. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines isa)1  b)3  c)4  d)0

Q4. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

a) 37.80  b)8  c) 40  d) 5Ans: 37.80

Q5. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?

a) 16 b) 6 c) 10 d) 60Ans: 10

This type of Q's repeated 4times  for me but values are different.

Q6. Alok and Bhanu play the following min-max game. Given the expressionN = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable

to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's  concept is same but the equation of N's is changing.

Q7. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then

a) In order to win, Alice's first move should be a 1-move.b) In order to win, Alice's first move should be a 0-move.c) In order to win, Alice's first move can be a 0-move or a 1-move.d) Alice has no winning strategy.Ans: d

Q8. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a)1/9    b)4/9    c)5/9    d)2/3Ans: 5/9

Q9. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

a)12    b)11    c)13    d)18Ans: 18

Q10. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a)1/12    b)0    c)12/212  d)11/12

Ans: b

Q11. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.

Ans:c

Q12. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

a)1/2    b)14/19     c)37/38 d)3/4    Ans: 14/19

Q13. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75    b) 1    c) 0.5    d) 0.25Ans: d

Q14. 9. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?

a) 3 red and 3 blue faces        b) 2 red and remaining bluec) 6 red and 0 blue        d) 4 red and remaining blueAns: a

Q15. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formulad = 4 * sqrt (t – 8)for t = 8Where the represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?

a) 8 b) 16 c) 25 d) 21Ans: 16

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false. b) The odd numbered statements are true and the even numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false.Ans: d

Q17. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.c) In order to win, Alok should remove O2 on his first turn.d) Alok has no winning strategy.Ans: d

Q18. Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/4 of B if filled in 21 hours what time it will take to get completely filledAns: 23

Q19. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m. Formula is 2xy/(x+y).

Q20. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?Ans: 18

Q21. Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old Mercedes wich gave him 35kmph if Mohan travelled 490 km in his ferrari the how much time(hours) he took?Easy one try it.

Q22. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?Ans: (5)^11

Q23. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys same amount of fruits for his 3 sons spending 7 cent then what amount of fruit each child will get?

Ans: 1plum, 2apples, 1cashew

Q24. There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there

Ans: For this question answer is deduced from the options.

Q25. One day Alice meets pal and byte in fairyland. She knows that pal  lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies  on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it?

a) Thursday   b) Tuesday   c) Monday d) SundayAns: a

Paper no: 141. One man want to build a wall the length and breadth of the wall are 20, 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?Ans: l*b*35(no of bricks needed for sqcm) 2. One person had three children. He has 7 pennies. Then how he can distribute the fruits among his child by folloing conditions.a)he can get one water millon for 1 penny.b)he can get 2 oranges for 1 penny.c)he can get 3 grapes for 1 penny. Ans: 2 water mellon 1 orange 1 grape3. 1/3 rd of a number is more 3 than the 1/6th of a number then find the number?Ans:18 4. In Roorkee many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering? Ans:For 1 to 10 - 1 six 2 to 20 - 1 sixSimilarly upto 59 we utilise six, 5 timesfrom 60 to 69 (including 66) - 11 timesfrom 70 to 100 - 3, hence ans = 5+11+3 = 19Ans:19. 5. One grand father has 3 grand child. Eldest one age is 3 times of the youngest child age. Sum of two youngest child age is more than two of eldest one age. Find the eldest one age?Ans: 15(we can easily predict from options, as we take y as 15)6. Difference between two numbers is 4 and their product is 17. Then find the sum of their squers?Ans: 70 (By using (x-y)2=x2+y2-2xy)7.Dr.Shantram was studying a bear in d north pole. For better results he took a left turn and then went straight and then went 3 km towards south to reach his lab , wat is colour of bear?Ans: white.8. Which is the smallest digit when divides the 2880 gives perfect square.?Ans:5(we can easily predict from options, as we divide them with 2880)

9. I don’t have any brothers and sisters.by pointing a picture that man said that his father is my fathers. Son then who is he?Ans: His son10. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. Find the age of seventh person?Solution (x = 41, 6x = 246)Let now we compute y,((6x+y)/7) = 45, as we have value of x, compute y.Ans: 69 11.The ratio between the ages of two pwrsons is 6:5 and sum of there ages is 77 then how many years later there ratio becomes 8:7?Ans: we can easily predict from options 12. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog. compute the speed of dog?Ans: As we have speed and travel time of horse, we can get distance travelled by it.  

Hence d = 22*6 = 132km,Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).Hence speed of dog = 132/8 = 16.5km/hrAns:16.5km/hr. 13. Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they has to select 2 flavors from 6 flavors what’s chanses to select?Ans:6C216. 3, 22 , 7, 45, 15, ? , 31Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the actual question was some what twist mentioning fibonacci series and more over question was in statements (no numbers). Hence first try to understand the question well.Here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.14. Some irrelavent data.in last two lines problem will be there. One man walks certain distance with 5 kmph and walk back the same  Ans: A 15. A and B tanks r there.1/8th of the tank B is filled in 22Hrs.what is time to fill the tank full?Ans: 25 16. 5 friends went for week end party to Mc donalds restrurent  and there they measure there weights. Some irrilevent data. Final measure is 155 kg then find the average weight of 5 people?Ans: 155/5=31 17. 2 pots are there. 1st pot is filled with ink and 2nd pot is filled with water. Take 1 spoon of ink from 1st pot and pore it in 2nd pot and take 1 spoon of mixture from 2nd pot and pore it in 2nd pot then which one of following is true?Ans: Water in 1st pot  is less than the ink in 2nd pot. 18.There r ten spots in library and each spot has 4 tables and ten readers ar there . sorry I don’t remember complete question?Ans: None 19. Lion and tiger are there. Lion lies on Monday, Tues, Wends and Tiger lies on Thurs, Frid, Sat. Lion said that today is one of those days when I lies. Tiger said that today is one of those days when I lie too. Then find today?Ans: Thursday

Paper no: 16Q1. (1/2) of a number is 3 more than the (1/6) of the same number? a) 6 b)7 c)8 d)9 Solution: Let the number be x, ((1/2)*x)=3+(1/6)*x, Then solve xQ2. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely? a) 26 B)25 c)5 d)27Solution: for every hour water in tank in B is doubled, Let the duration to fill the tank B is x hours. x/32 part of water in tank of B is filled in 21 hours, Next hour it is doubled so, 2*(x/32) part i.e (x/16) part is filled in 22 hours, Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours, (x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours So answer is 26 hours.Q3. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys a)1/64 b)1/32 c)1/128 d)1/256 Solution: Probability of a boy or girl is ½ So for remaining 6 it’s – {1/2}^6= 1/64Q4.A lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? a) 50 b) 8 c) 40 d) 42Solution: This is the most repeated question in Tcs so prepare it well It has no logic but it’s answer comes like this :- Firstly add 2 max values i.e 20+18=38 Then add 2 to answer i.e. 38+2=40 so this is the answer.Q5. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option? a)1/2 b)1/6 c)1/12 d)6/10 Solution is ½.Q6. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar

blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur? a) 17 b) 21.25 c) 12.25 d) 14.05Solution: radius =7mm, then diameter 2*radius, substitude diameter the in above equation you will get answerQ7) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.a) 20.72 b) 3.5 c) 238.25 d) 6.18 Solution: Speed of Ferrari =4*35=140,time=distance/velocity,Q.8Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible? a) 4 b) 5 c) 6 d) 7 Solution:- will be 5. for 31p, we divide it 1,2,4,8,16.Q9. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?a)loss 23 b)gain 23 c)gain 54 d)Loss 54 Solution:-23 loss as he has to pay 35 dollar to neighbor he has only 31 remaining so 35-31=4 and cycle costs 19 dollar so total loss=19+4=23 dollarQ.10.if there are 30 cans out of them one is poisened if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisened can? A)3 B)2 C)6 D)1 solution:-1 Because in that problem they didn't mention the details like,one mice take 2 hr or 3hr etc..they told only 24 hr to test..so 1 mice is enough..rest are useless words.Q.11.A Sheet of paper has statements number from 1 to 20.Statement n says "At least n of the statements on this sheet are true".which statements are true and which are false. a.The even no statements are true and the odd no statements are false. b.the 1st 13 statements are false and rest are true.c.the 1st 6 statements are true and rest are falsed.the odd no statements are true and even no. are false. Solution:- this type of question was repeated 3 times but for different case. For this type of Questions, follow this: At least- Ist half are true, Last half are false Exactly- Last second one is true or (N-1)th Statement is true Almost- All are true. So correct answer is (C)Q.12. On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am. Solution:- 89 deg 36hrs a day mane the clk will b of 18hrs. 18hrs covrs 360deg thus 1hr covrs 20deg 12 hrs covrs 12*20=240deg ekhon,1 hr in 90min thus in 90min the hour hand goes 20deg tai, for 1min hr hand goes 2/9deg sei jonne, for 40 min hour hnd goes (2/9)*40deg=80/9deg=9deg(approx) thus hr hand covrs total of 240+9=249deg now min hand covrs=40*4=160deg (karon, 90min=360deg 1min=4deg) thus angle betwn them 249-160=89deg :)Q.13. There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that’s not needed for the question.) All of the following combinations are possible to make a perfume except: 1) Balsamic and Lilac 2) Woody and Lemon 3) MI mosaic and Woody 4) MI mosaic and LilacSolution:-first is acceptable for perfume since balsamic and liliac are given to be present and second is also acceptable as lemon can be added with any of four ,third is also acceptable as given in question...left fourth is not acceptable as MI mosaic is always with woody...and balsamic is always with liliac ..therefore combination of MI mosaic and liliac cant occur because woody and balsamic are never togetherQ14: Alok and Bhanu play the following min-max game. Given the expression N = 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be? Note: For this type of questions: x+y-z=11 x-y-z=2 x*(y+z)=18 wht shud be the approach to do such type of prob??

Solution:- this question was repeated 3 times for different cases yeah tcs has this 3 type of questions where there is x+y-z,=11 x-y-z ==2 and x*(y+z)=18 if an integer is added to any of the above equations just add the integer to the value of the equations...for example in this case it would be 15+18=33....(dont ask me for explanations why this value comes for those equations..it took me some gruelling sessions to understand that )Q.15) Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now? a) There is less coffee in the first tumbler than water in the second tumblers b) There is more coffee in the firs tumbler than water in the second tumbler c) There is as much coffee in the first tumbler as there is water in the second tumbler d)None of the statements holds true Solution:- a there is less coffee in the first tumbler than waterQ.16-Shreya writes 1st 100 whole num. let A and B be the num of times she writes 0 and 9 respectively,find the value of A+B Solution:- first 100 whole nos=0 to 99. thus A=no.of 0's=(0,10,20,30,40,50,60,70,80,90)=10 B=no. of 9's=(9,19,29,39,49,59,69,79,89,90,91,92,93,94,95,96,97,98,99)=20 A+B=30Q.17-When my uncle died,he left a will instructing his executers to divide his estate of 19,80,000 in this manner.Every son should receive 3 times as much as a daughter and that evry daughter should get twice as much as their mother. what is my aunt's maximum share if my uncle has atleast one son and one daughter? (a)19,80000 (b)9,90,000 (c)3,30,000 (d)2,20,000 (e)1,98,00 Solution:- 1+2+6=9 1980000/9=220000 220000(mother) 440000(daughter) 1320000(brother) Answer is 220000(d)Q.18-There are 3 boys A,B,C and 2 girls D,E. D always sit right to A.girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. who is sitting immediate right to E? Solution:- A D B E C right of e is c I think that’s enough questions.

Paper no: 171) The age of ram and sam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age of sam?Ans: 12years (names and values may change) 2) There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? (1 of )?Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/323) Find (4x+2y)/ (4x-2y) if x/2y=24) Find average speed if a man travels at speed of 14kmph up and 26kmph down at an altitude of 200m. Formula is 2xy/(x+y)5) In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in the campus. How many bicycles are there?Ans: 156) Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 4 flavors from 16 flavors. In how many ways we can select?Ans: 16C47) 3, 15, x, 51, 53,159,161. Find XAns: 178) 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order IN 7 rounds. A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds?Ans: 4(155)/7=318. The cost of making robot is divided into cost of material, cost of repairing and cost of painting in the ratio of 5:2:3. The cost used for material is 200. Find the total cost of making the robot?Ans: 400 (just calculate it).10) (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that's not needed for the question.) All of the following combinations are possible to make a perfume except:1) Balsamic and Lilac2) Woody and Lemon3) MI mosaic and Woody4) MI mosaic and Lilac11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?Ans: ((A+B+C)/4)2

12) What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).Ans: sqrt ((d/a) 2+ (d/c) 2)13) A scientist in Antarctic region conducts research on bears came to know that bears changes according to the location .once he moves 1 mile towards north, then he moves 2 miles towards east, then 1 mile towards south. Now the color of bear he found will be in:Ans: white14) Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will take to get completely filledAns 2115) There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?a) 2      b) 2!     C) 2048           d) 102416) A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?Ans is 2(141) =24217) A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?Ans is 15 pounds18) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?a) Linda is shorter among themb) Chelsea is taller than Juliac) Chelsea is shorter than Juliad) Cannot determine who is taller among Chelsea and JuliaAns: d19) In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?Ans is 4 boys and 3 girls20) There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gloves.How many draws are required to obtain a pair of each color.21) There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?a) If no. is odd it is head, if no. is even it is tailb) If no. is odd it is tail, if no. is even it is headc) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.I didn’t remembered last option and I don’t know answer.22) 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form?I didn’t remember the exact values of x and y. You can solve easily.23) Ram buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to Ram. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?Ans is 23(cost price + change given).24) metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?Ans is (z-1) (y-x) +x.25) A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first roundAns is 28.26) There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?Ans is B or C27) 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?Ans is 12C229) Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?a) 22   b) 31   c) 6   d) 32Ans is 630) There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?

Ans is 2031) A lady took out jacket and gloves, which are avialable in blue 16, yellow 40 and red 36. Power goes off, she can distinguish between gloves and jacket but not in colors. What's the possibilty their she will pick up pair of gloves of each color.Ans : very easy.32) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)33) Rearrange and categorize the word ‘IGTRE’?Ans: Animal(TIGER)34) A lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks truths on other days. One day a said I lied today and B said I too lied today. What is the day?35) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?Ans: 18

Paper no:19 Pattern 1:

1. (1/2) of a number is 3 more than the (1/6) of the same number?a) 6 b) 7 c) 8 d) 9Solution:Let the number be x,((1/2)*x)=3+(1/6)*x,Then solve x

2. (1/3) of a number is 3 more than the (1/6) of the same number?a) 6 b) 16 c) 18 d) 21

3. (1/3) of a number is 6 more than the (1/6) of the same number?a) 6 b) 18 c) 36 d) 24

4. (2/3) of a number is 4 more than the (1/6) of the same number?a) 6 b) 8 c) 36 d) 24

5. (1/3) of a number is 5 more than the (1/6) of the same number?a) 6 b) 36 c) 30 d) 72

Pattern 2:

1. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?a) 26 B)25 c)5 d)27Solution: for every hour water in tank in B is doubled,

Let the duration to fill the tank B is x hours.x/32 part of water in tank of B is filled in 21 hours,Next hour it is doubled so,

2*(x/32) part  i.e (x/16) part  is filled in 22 hours,Similarly (x/8)th part in 23 hours,(x/4)th part is filled in 24 hours,

(x/2)th part is filled in 25 hours, (x)th part is filled in 26 hours

So answer is 26 hours.

2. There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160. If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely?a) 9 B) 8 c) 7 d) 6

3. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160...in tank B. 1/8 th of the tank B is filled in 22 hours. What is the time to fill the tank fully?a) 26 B) 25 c) 5 d) 27

4. A tank is filled with water. In first hour 10 liters, second hours 20 liters, and third hour 40 liters and so on. If time taken to fill ¼ of the tank if 5 hours. What is the time taken to fill up the tank?a) 5 B) 8 c) 7 d) 12.5

5. If a tank A can be filled within 10 hours and tank B can be filled ¼ in 19 hours then, what is the time taken to fill up the tank completely?a) 21 B) 38 c) 57 d) 76

Pattern 3:

1. 6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?a) 43 b) 69 c) 52 d) 31 Solution:Total age of 6 persons is x hours,after two years total age of 6 persons is x+12Average age of 6 persons is after two years is 43So (x+12)/6=43,then solve x,After 7th person is added then (x+7th person age)/7=45So we will get 7th person age easily

2. In a market 4 men are standing. The average age of the four before 4years is 45, after some days one man is added and his age is 49. What is the average age of all?a) 43 b) 45 c) 47 d) 49

3. In a shopping mall with a staff of 5 members the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What’s the age of 6th person?a) 25 b)20 c)45 d)30

4. In a market 4 men are standing .The average age of the four before 2 years is 55, after some days one man is added and his age is 45. What is the average age of all?a) 55 b) 54.5 c) 54.6 d) 54.7

Pattern 4:1. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?a) 8 b) none c) 16 d) 15

Solution: 23 reading spots, Each reading spot consists of 9 chairs placed around it so There are some readers such that in each occupied reading spot there are different numbers of readers.

For each table different no of persons are sat,so for first table 1 person is sit,2nd table 2 persons are sit 36readers means(1+2+3+4+5+6+7+8 so 8 tables are filled so 23-8=15 reading spots does not have single reader.

2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person?a) 8 b) 6 c) 2 d) 7

3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?a) 8 b) 6 c) 2 d) 7

Pattern 5:

1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph

Solution: Average speed=(2*x*y)/(x+y)

2. A man travels from A to B at 4 mph over a certain journey and returns over the same route to A, at 5 mph. What is his average speed for the journey?a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph

3. A person is rock climbing at an altitude of 800 m. He go up by 7 mph. and come down by 9 mph. what was his average speed?a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph

4. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m?a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph

5. Person travels to a hill, if he goes from A to B with speed of 4kmph and returns back to B with speed of 5kmph. What is his average speed of journey?a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph

6. A man travels from A to B at 70 mph over a certain journey and returns over the same route to A, at 80 mph. What is his average speed for the journey?a) 74.66 b)75 c)74.33 d)74.99

7. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.a) 28.8 b)28 c)27 d)28.6

Pattern 6:

1. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?a) 114 b) 135 c) 21 d) 71

Solution: I do not know perfectly but I got some solutions from internet I do not know correctly whether it is tru e or not,((3*9*5))-((3-2)*(9-2)*(5-2)) so answer is 114.

2. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?a) 2000 b) 5000 c) 3000 d) 7000

3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?a) 98 b) 104 c) 100 d) 61

4. Leena cut small cubes of 10 cm dimension each. She joined it to make a cuboid of length 100 cm, width 50 cm and depth 50 cm. How many more cubes does she need to make a perfect cube?a) 500 b) 250 c) 750 d) 650

5. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes does she need to make a perfect cube?a) 910 b) 250 c) 750 d) 650

6. A lady builds 9cm length, 10cm width,3cm height box using 1 cubic cm cubes. What is the minimum number of cubes required to build the box?a) 730 b) 270 c) 720 d) 310

Pattern 8:1. (40*40*40 – 31*31*31)/(40*40+40*31+31*31)=?a)8 b)9 c)71 d)51

Solution:a3  -b3 =(a-b)*(a2+a*b+b2) so from this formula we will find (a-b) value

2. (98*98*98 – 73*73*73)/( 98*98*98 – 73*73*73)=?a).171 b).4 c).420 d).415

3. (209*144)^2 + (209*209)+(209*144)+(144*144) = ?a)905863729 b)905368729 c)905729368 d)65

Pattern 9:

1. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2 a)8 b)none c)16 d)15

Solution: substitute x=4y in above we can find solution

2. x/2y = 2a,then 2x/x-2ay=?a)4 b)8 c)16 d)2

3. 3X/5Y = 5Y/3X…..Find the value of X/Ya) 3/5 b) 5/3 c) 2/5 d) 5/2

4. What is the value of (3X+8Y)/(X-2Y), if X/2Y=2a) 8 b) none c) 10 d) 13

5. (4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2a) 48/5 b) 46/5 c) 47/5 d) 49/5

6. ((4x+2y)/(4x-2y)= ? as (x/2y) = 2a) 8/7 b) 9/7 c) 11/7 d) 6/7

Pattern 10:

1. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?a) 16 b) 56 c) 112 d) 28

Solution: 8c2

2. A pizza shop made pizzas with many flavors. There are 10 different flavors, in that 7 flavors are taken to make pizza. In how many ways they can arrange?a) 240 b) 120 c) 65 d) 210

3. A pizza shop made pizzas with many flavors. There are 9 different flavors, in that 2 flavors are taken to make pizza. In how many ways they can arrange?a) 16 b) 26 c) 36 d) 46

Pattern 11:

1. 3, 22, 7, 45, 15, ?, 31a) 91 b)151 c) 90 d) 5

2. 8 6 17 14 35 31 75 _ 143?

3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63?a) 202 b) 31 c) 76 d) 49

4. 3, 12, 7, 26, 15, ?a) 54 b) 27 c) 108 d) 31

5. 1! + 2! + ……. + 50!=?a)3.1035*10^64   b)2.1021*10^65   c)3.1035*10^63   d)3.1035*10^62

6. 1, 2, 3, 6, 7, 14, _, 32?

7. 5, 9, 12, 18, 26, 36, 47, 72, _?a) 75 b) 135 c) 100 d) 55

8. 3, 15, x, 51, 53,159,161a) 17 b) 34 c) 54 d) 112

Pattern 12:

1. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b & c ,then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?

a) 95 b) 95.428 c) 95.45 d) 94

Solution: Last weight abc is 167i.e three persons weight is 167 .in first 6 combinations a,b,c,ab,bc,ac i.e a checked weight for 3 times totally like that band c also so total weight in all 7 combinations is (4*167)

Average is (668/7)=95.42

Pattern 13:

1. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?a) 1 in 16 B) 1 in 4 c) 1 in 8 d) 1 in 32 Solution: Initially it produces 10 sounds and the defect came and now it produces only 2 different sounds and consecutively so there are totally 2 sounds and we have to select on sound and the probability is ½ and it produces the same sound concecutively for 2 times so the probability becomes ½*1/2  ie ¼

2. A car manufacturer produces only red and blue models which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come through the test area at any one time?a) 1 in 16 b) 1 in 125 c) 1 in 32 d) 1 in 25

Pattern 15:

1. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?a) 280.5625 b) 240.5625 c) 280.125 d) 240 Solution: Add all sides 25+11+31 to get rope length rope length =67,rope is made in to as square. So side of square is 67/4=16.75 and so area is 16.75*16.75=280.5625

2. A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope?a) 280.5625 b) 333.0625 c) 333.0125 d) 400

Pattern 16:

1. What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0Solution: intercept form equation

2. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).

Pattern 17:

1. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?a) White b) Black c) Gray d) Brown

Solution is: White. above all the matter is nonsense

Pattern 18:

1. Out of 7 children the youngest is boy then find the probability that all the remaining children are boysa) 1/64 b) 1/32 c) 1/128 d) 1/256

Pattern 19:

1. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces?a) 153 b) 152 c) 154 d) 155 Solution: To make it 153 pieces we have to cut 152 times so obviously after last cut we got 153rd piece

2. A person has to make 146 pieces of a long bar. He takes 4 seconds to cut a piece. What is the total time taken by him in seconds to make 146 pieces?a) 584 b) 580 c) 730 d) 725

Solution: 146 pieces means 145 cuts so for each cut it takes 4 seconds means total time 145*4=580

3. A person has to make 141 pieces of a long bar. He takes 2 seconds to cut a piece. What is the total time taken by him in seconds to make 141 pieces?a) 560 b) 280 c) 112 d) 324

Pattern 20:

1. Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?a) $27 b) $18 c) $45 d) $486

Solution: See last 3 lines only answer is 45-27=18

Pattern 21:

1. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?

Solution: here we cannot consider depreciation or decay of item accto answer so go acc to answer

Totally 5+10=15$profit

Pattern 22:

1. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?a) loss 23 b) gain 23 c) gain 54 d) Loss 54

Solution: Loss= Change of money given to john(4$)+actual cycle cost 19$=23$ loss

Pattern 23:

1. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?a) 50 b) 8 c) 60 d) 42Solution: I am not able to answer this if i go in procedure way so search in net by searching question. Better see below website

2. A lady has fine gloves and hats in her closet- 14 blue, 20 red, and 18 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

4. A lady has fine gloves and hats in her closet- 25 blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

Pattern 24:

1. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?a)1/2 b)1/6 c)1/12 d)6/10

Solution is ½. 2. There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?a) If no. is odd it is head, if no. is even it is tailb) If no. is odd it is tail, if no. is even it is headc) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.

Pattern 25:

1. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?a) 4 boys and 3 girls b) 3 boys and 4 girls c) 2 boys and 5 girls d) 5 boys and 2 girls

Pattern 26:

1. 10 men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?a) 22 b) 20 c) 10 d) none

2. There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true:a) There are 2 men who danced with equal no. of women’sb) There are 2 women who danced with equal no. of mena) both a and b b)only a c)only b d)none

Pattern 27:

1. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?a) 257 b) 256 c) 72 d) 255Solution: Do not know perfect logic 28

2. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?a) 256 b) 512 c) 64 d) 128

Pattern 28:

1. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?

2. A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings.

Pattern 29:

1. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?a) 6 b) 21 c) 28 d) 7

Solution: For handshakes type question i am confirming you that if the there are n members are thereHandshakes are given  in linear manner  =n-1(last person cannot give hand shake to first person)Handshakes are given  in cyclic manner  =n(last person can give hand shake to first person)

But i do not know  perfectly for repetition it is nc2

2. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?

a) 122 b) 66 c) 48 d)1 28

Pattern 30:

1. B is taller than j and 3 pillars. P is shorter than B and 2 pillars is j shorter/taller than P?a) yes b) no c) may be d) can’t find

2. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?a) Linda is shorter among themb) Chelsea is taller than Juliac) Chelsea is shorter than Juliad) Cannot determine who is taller among Chelsea and Julia 

Pattern 31:

1. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?a) 4 b) 5 c) 6 d) 7 Solution: in btech we studied 8 4 2 1 code for binary system in digital logic proceed in that way for answer it is 16 8 4 2 1 if u add all we will get 31 so 5 coins required

Pattern 32:

1. Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?a) 8 b) 20 c) 16 d) 15

Pattern 33:

1. 20 men handshake with each other without repetition. What is the total number of handshakes made?a) 190 b) 210 c) 150 d) 250

2. 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.a) 45 b) 9 c) 12 d) 10

Pattern 34:

1. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 20 two wheelers parked therea) 48 b) 50 c) 52 d) 64

Solution: Proceed with answer is best in question they will give total no of wheels 

2. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 58 wheels are parked therea)10 b) 33 c) 22 d) none

Pattern 35:

1. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he has bought from each piece for his son?a) 1app, 1cho, 1 banana  b)1 app, 2cho,3 banana  c)1app, 2cho, 1banana

2. One person had three children. He had 7 pennies. Find the distribution of the fruits among the three children. A melon costs 1 penny, 2 oranges cost 1 penny and 3 grapes cost 1 pennya)2 melons, 1 orange, 1 grape b) 2 melons, 2 orange, 1 grape c) 1 melons, 2 orange, 1 grape.

Pattern 36:

1) The age of the two friends were in the ration of 6:5. If the sum of their ages is 55. Then after how many years their ratio will become 8:7?a) 11 b) 7 c) 10 d) 12

Solution: 6x+5x=55, so x=5, put first ratio after substitution is (6*5)/(5*5) and second ratio is 40/35 So difference in numerators 40-30=10 years

2)The age of the two friends were in the ration of 6:5. If the sum of their ages is 66. Then after how many years their ratio will become 7:6?a) 11 b) 6 c) 10 d) 12

3) The age of the two friends were in the ration of 2:3. If the sum of their ages is 55. Then after how many years their ratio will become 4:5?a) 11 b) 33 c) 22 d) 44

Pattern 37:

1) A volume of 10936 l water is in a container of sphere. How many semisphere of volume 4l each will be required to tranfer all the water into the small semispheres?a) 2812 b) 8231 c) 2734 d) 4222

Pattern 38:

1) A person ismanufacturing a house. He bought 20 ropes of wire which has a density of 300 Kg/m3. The height of the building to be constructed is 40 m. If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts. Then what will be the opposing force to the current if the wire is used?a) 2 b) 4 c) 8 d) 1600 Solution: ohms law V=IR, Opposing force of current is resistance, R=v/i

Pattern 39:

1) A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?a) 46.4 b) 51 c) 53.4 d) 48.6

Solution: Horse takes 3 hours to cover the distancePony takes 3+2 =5 hours to cover the same distance, Velocity=distance/time, distance travelled by them is equal it is 81*3=243km, speed of pony=243/5=48.6

3) A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what is the average speed of the ponyPattern 40:

1) The difference between two no is 9 and the product of the two is 14.What is the square of their sum?a) 120 b) 130 c) 137 d) 145

Solution: a-b=9, ab=14, (a-b)2=a2+b2-2*a*b

2) The sum of two no is 5 and the product of the two is 14.What is the sum of their squares?3) The sum of the squares of two no is 12 and their sum is 15.Find the product of the two no?

Pattern 41:

1) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?a) 17 b) 21.25 c) 12.25 d) 14.05

Solution: radius =7mm, then diameter 2*radius, substitude diameter the in above equation you will get answer

Pattern 42:

1) A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?a) North b) South c) East d) West

Pattern 43:

1) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?a) 18 b) 19 c) 20 d) 21.Solution: You have to count and answer but be prepare with answer

2) In T.Nagar the building were numbered from 1 to 100. Then how many 6’s will be present in the numbers?a) 18 b) 19 c) 20 d) 21

3) In T.Nagar the building were numbered from 1 to 100. Then how many 1’s will be present in the numbers?a) 18 b) 19 c) 20 d) 21

4) In T.Nagar the building were numbered from 1 to 100.Then how many 0’s will be present in the numbers?a) 18 b) 19 c) 20 d) 11

Pattern 44:

1) A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21. What is the remainder left, when twice the number is divided by 3D?a) 13 b) cannot be determined c) 3 d) 42

Pattern 45:

1) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.a) 20.72 b) 3.5 c) 238.25 d) 6.18

Solution: Speed of Ferrari =4*35=140,time=distance/velocity,

2) Ferrari S.P.A is an Italian sports car manufacturer based in Marane llo, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.a) 20.72 b) 5.18 c) 238.25 d) 6.18

Pattern 46:

1) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?a) The even numbered statements are true and the odd numbered are false.b) The odd numbered statements are true and the even numbered are false.c) The first 35 statements are true and the last 35 are false.d) The first 35 statements are false and the last 35 are false.

Pattern 47:

1) A man goes north 37km.turns left goes 2km.turns right goes 17km.turns right goes 2km. find distance b/w starting ending point.a) 54 b) 27 c) 81 d) 67

Pattern 48:

1) If there are 30 cans out of them one is poisoned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisoned can?a) 3 b) 2 c) 6 d) 1

Pattern 49:

1) If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?A) 13.34 b) 15.73 c) 16.73 d) 9.45

Solution: Solve for a:b:c,then b ratio is b/(a+b+c)*35

Pattern 50:

1) If we subtract a number with y, we get 4 increase of number, once it got divided by y itself... Find that number??A) 13 b) 12 c) 14 d) 11

Pattern 51:

1) It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what u will say?a) 15 b) 17 c) 14 d) 16

Solution: It is a series 1, 4, 7, 10, 13.

Pattern 52:

1) It is dark in my bedroom and I want to get two socks of the same color from my drawer, which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?a) 2 b) 3 c) 48 d) 25

2) Lady has 2 select gloves & hat from a basket. In the dark, she can distinguish hat & gloves. 14 red, 20 blue, 18 green are there. Find probability that any selected glove pair has same color. 3) A lady had fine gloves and hats. 25 blue, 7 red and 9 gey. She had to select a pair among them. But there was no light so she had to select in darkness the correct pair with a glove and a hat. Therefore how many combinations of same color she can select? Pattern 53: 1) If the Valentine’s Day in 2005 falls on Monday, then on which day will the Valentine’s Day fall on 2010?A) Saturday b) Thursday c) Wednesday d) Sunday Pattern 54: 1. A person run from A to B.He took ¼ of the time less to reach B when compare to run at normal Speed.Then how many percentage he has increased his speed?a) 40 b) 44.4 c) 33.3 d) 22.2

Solution: I do not know perfectly but i have simple logic,1-(1/4)=(3/4),then reverse it so it is 4/3=1.333,1.33-1=33.33 like this

2. An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?a) 40 b) 44.4 c) 33.3 d) 22.2

Pattern 55:

1. In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?a) 320 b) 380 c) 340 d) 300

Solution: area of the room is length*breadth=4*5=20m2, For one square meter it takes 17 bricks, For 20m2 total no of bricks are 17*20=340,

Pattern 56:

1. One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?a) 21,500 b) 30,000 c) 21,000 d) 20,000

Pattern 57:

1. In a hotel we can order two types of varities, but we can make 6 more variteis in home. One can choose the four varities with two from hotel as must. Find how many ways one can order.a) 14 b) 15 c) 56 d) 28

Pattern 58:

1. If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more. Now the tank is full then how much time will it take to empty the tank throught the leak?a) 78 b) 56 c) 66 d) 59

Pattern 59:

1. The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true?a)P=1/3+1/5*3 b)P=1/5*(1/8-3)

2. There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probabilityA. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3)

Pattern 60:

1. There was a grand mother in a village who had a grand child.Upon asking her grand childs age she told that she is as older as many days old as her daughters age in weeks and as many days as her own age in years.The sum of the three is 130.then how old is the child.?

Pattern 61:

1) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?a)18 b)19 c)20 d)21

2) In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?

Pattern 62: 1) Amrith told to Anand in front of a Photo that “He is the son of my father’s son”.Find who is in the picture if amrith have no brothers and sisters.a) Amrith himself b) Amrith’s Uncle c) Amrith’s Father d) Amrith’s son

2) One person has no siblings and says,” the guy in the photo is the only son of my father ‘s son”. What is the relation of the guy to the person?

Pattern 63:

1) One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?a) 18 b) 22 c) 30 d) 10.

Solution: there are 3 childs,let the age of younger be x,elder be 3x,so the middle one be m,3x=2+x+m,then we have a-b=3 or b-c=3,or a-c=3, then for answer we have to go via options, substitute  that in above equations

2) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

3) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?

Pattern 64: 1) In a school, for a student out of 100 he got 74 of average for 7 subjects and he got 79 marks in the 8th subject. what is the average of all the subject?a) 76.251 b) 80.25 c) 74.265 d) 74.625

Solution: Total marks=74*7=518, then average=(518+79)/8=74.625

Pattern 65: 1) 3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said”that B & C said to A that” B said “yesterday way one of the days when I lies”,C said that”yesterday way one of the days when I lies too”.then which day was that? a) Sunday b) Thursday c) Saturday d) Tuesday

Pattern 66:1) Which is the smallest no which divides 2880 and gives a perfect square?a) 4 b) 9 c) 3 d) 5Solution: For answer solve via options

Pattern 67: 1) How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?a)57 b)56 c)59 d)58

2) how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?

3) By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??

4) Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4? 5) How many of 14 digit numbers we can make with 1,2,3,4,5 that are divisible by 4. Repetitions allowed. Pattern 68:1) Consider two tumblers, the first containing Water and next contains coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now?a) There is less coffee in the first tumbler than water in the second tumblersb) There is more coffee in the firs tumbler than water in the second tumblerc) There is as much coffee in the first tumbler as there is water in the second tumblerd)None of the statements holds true

Solution: Think wisely and answer these are asked in my paper 2 or 3 questions

2) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?

Pattern 69: 1) Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?a) 8 b) All are equally likely c) 9 d) 10

Solution: Calculate how many times 8,9,10 will come when we throw 2 dice, and answer

Pattern 70: Q1. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. 

The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) isa)3   b)5   c) 2   d)1Ans: 5

For below questions, answers i am not sure whether they are correct or not you have to solve urself

Q2. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?a) 54 b) 64 c) 265 d) 192Ans: 192Some times base value is chang like: 9finger, 1 to 100(base 9)

Q3. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines isa)1  b)3  c)4  d)0

Q4. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?a) 37.80  b)8  c) 40  d) 5Ans: 37.80

Q5. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?a) 16 b) 6 c) 10 d) 60

Solution:(men*time)/work)Ans: 10

This type of Q's repeated 4times  for me but values are different.

Q6. Alok and Bhanu play the following min-max game. Given the expressionN = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would bea) 0 b) 27 c) 18 d) 20

The Q's  concept is same but the equation of N's is changing.

Q7. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.

Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then

a) In order to win, Alice's first move should be a 1-move.b) In order to win, Alice's first move should be a 0-move.c) In order to win, Alice's first move can be a 0-move or a 1-move.d) Alice has no winning strategy.Ans: d

Q8. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?a)1/9    b)4/9    c)5/9    d)2/3Ans: 5/9

Q9. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set isa)12    b)11    c)13    d)18Ans: 18

Q10. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?a)1/12    b)0    c)12/212  d)11/12Ans: b

Q11. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.b)The first 26 statements are false and the rest are true.c)The first 13 statements are true and the rest are false.d)The odd numbered statements are true and the even numbered are false.Ans:c

Q12. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability isa)1/2    b)14/19     c)37/38 d)3/4    Ans: 14/19

Q13. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?a) 0.75    b) 1    c) 0.5    d) 0.25Ans: d

Q14. 9. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?a) 3 red and 3 blue faces        b) 2 red and remaining bluec) 6 red and 0 blue        d) 4 red and remaining blueAns: a

Q15. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formulad = 4 * sqrt (t – 8)for t = 8Where the represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?a) 8 b) 16 c) 25 d) 21Ans: 16

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered statements are false. b) The odd numbered statements are true and the even numbered statements are false. c) All the statements are false. d) The 39th statement is true and the rest are false.Ans: d

Q17. Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.c) In order to win, Alok should remove O2 on his first turn.d) Alok has no winning strategy.Ans: dQ18. Two pipes A and B fill at A certain rate B is filled at 10, 20, 40, 80. If 1/4 of B if filled in 21 hours what time it will take to get completely filledAns: 23

Q19. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m. Formula is 2xy/(x+y).Q20. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?Ans: 18Q21. Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed great success. If Mohan's Ferrari is 3 times faster than his old Mercedes wich gave him 35kmph if Mohan travelled 490 km in his ferrari the how much time(hours) he took?Easy one try it.Q22. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?Ans: (5)^11Q23. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys same amount of fruits for his 3 sons spending 7 cent then what amount of fruit each child will get?Ans: 1plum, 2apples, 1cashewQ24. There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were thereAns: For this question answer is deduced from the options.Q25. One day Alice meets pal and byte in fairyland. She knows that pal  lies on Mondays, Tuesdays and Wednesdays and tells the truth on the other days of the week byte, on the other hand, lies  on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it?a) Thursday   b) Tuesday   c) Monday d) SundayAns: a