No of Qs 50 Marks 150 Time 2 Hrs

1 x of y is y of (a) xy(b) 2y(c) x(d) cant be determinedAns C

2 The price of sugar increases by 20 by what should a housewife reduce the consumption of sugar so that expenditure on sugar can be same as before (a) 15(b) 1666(c) 12(d) 9Ans B

3 A man spends half of his salary on household expenses 14th for rent 15th 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) Rs500(b) Rs1500(c) Rs1000(d) Rs 900Ans C

4 Each side of a rectangle is increased by 100 By what percentage does the area increase(a) 100(b) 200(c) 150(d) 300Ans 300One of Mr Horton his wife their son and Mr Hortons mother is a doctor and another is a lawyer

i)If the doctor is younger than the lawyer then the doctor and the lawyer are not blood relativesii)If the doctor is a woman then the doctor and the lawyer are blood relativesiii)If the lawyer is a man then the doctor is a man

Whose occupation you know(a) Mr Horton(b) Mr Hortonrsquos wife

(c) Mr Hortonrsquos son(d) Mr Hortonrsquos mother

AnsMr Hortonhe is the doctor5 Mr and Mrs Aye and Mr and Mrs Bee competed in a chess tournament Of the three games

playedi)In only the first game were the two players married to each otherii)The men won two games and the women won one gameiii)The Ayes won more games than the Beesiv)Anyone who lost game did not play the subsequent gameWho did not lose a game(a) Mr Aye(b) Mrs Aye(c) Mr Bee(d) Mrs BeeAnsMrsBee did not lose a game

6 There are two circles one circle is inscribed and another circle is circumscribed over a square What is the ratio of area of inner to outer circle(a) 12(b) 105(c) 11(d) 14Ans 1 2

7 Three types of tea the abc costs Rs 95kg100kg and70kg respectivelyHow many kgs of each should be blended to produce 100 kg of mixture worth Rs90kggiven that the quntities of b and c are equala)701515 b)502525 c)602020 d)403030 Ans (b)

8 A can have a piece of work done in 8 days B can work three times faster than the A C can work five times faster than A How many days will they take to do the work together

(a) 3 days(b) 89 days(c) 4 days(d) cant sayAns B

9 There are two candles of equal lengths and of different thickness The thicker one lasts of six hours The thinner 2 hours less than the thicker one Ramesh lights the two candles at the same time When he went to bed he saw the thicker one is twice the length of the thinner one How

long ago did Ramesh light the two candles (a) 05 hours(b) 1 hours(c) 2 hours(d) 3 hoursAns 3 hours

10 Mr Shah decided to walk down the escalator of a tube station He found that if he walks down 26 steps he requires 30 seconds to reach the bottom However if he steps down 34 stairs he would only require 18 seconds to get to the bottom If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom find out the height of the stair way in steps(a) 05 hours(b) 1 hours(c) 2 hours(d) 3 hoursAns46 steps

11 A certain type of mixture is prepared by mixing brand A at Rs9 a kg with brand B at Rs4 a kg If the mixture is worth Rs7 a kg how many kgs of brand A are needed to make 40kgs of the mixture(a) 24 Kgs(b) 42 Kgs(c) 16 Kgs(d) 36 Kgs

Ans Brand A needed is 24kgs12 A wizard named Nepo says I am only three times my sons age My father is 40 years more than

twice my age Together the three of us are a mere 1240 years old How old is Nepo(a) 360 years old(b) 320 years old(c) 380 years old(d) 300 years old

Ans 360 years old13 A man ate 100 bananas in five days each day eating 6 more than the previous day How many

bananas did he eat on the first day(a) Seven(b) Five(c) Six(d) Eight

Ans Eight

14 Three pipes A B amp C are attached to a tank A amp B can fill it in 20 amp 30 minutes respectively while C can empty it in 15 minutes If A B amp C are kept open successively for 1 minute each how soon will the tank be filled(a) 161 minutes(b) 163 minutes(c) 165 minutes(d) 167 minutesAns 167 minutes

15 The letters A B C D E F and G not necessarily in that order stand for seven consecutive integers from 1 to 10D is 3 less than AB is the middle termF is as much less than B as C is greater than DG is greater than F

The fifth integer is(a) A(b) C(c) D(d) E

Ans (a)16 Five houses lettered ABCD amp E are built in a row next to each other The houses are lined up in

the order ABCD amp E Each of the five houses has a colored chimney The roof and chimney of each housemust be painted as followsi The roof must be painted either greenred or yellowii The chimney must be painted either white black or rediii No house may have the same color chimney as the color of roofiv No house may use any of the same colors that the every next house usesv House E has a green roofvi House B has a red roof and a black chimney 1 Which of the following is true (a) At least two houses have black chimney(b) At least two houses have red roofs(c) At least two houses have white chimneys(d) At least two houses have green roofs

Ans (c) 17 Two trains are 2 kms apart Speed of one train is 20ms and the other train is running at

30 ms Lengths of the trains are 200 and 300m In how much time do the trains cross each other

(a) 10 seconds(b) 20 seconds(c) 30 seconds(d) 50 seconds

Ans 50 seconds

18 A clock loses 10 minutes each hour If the clock is set correctly at noon what time is it when it reads 3 PM(a) 14 minutes(b) 12 minutes(c) 10 minutes(d) 8 minutes

Ans 8 minutes

19 A dishonest shopkeeper professes to sell pulses at the cost price but he uses a false weight of 950gm for a kg His gain is hellip

(a) 5(b) 51(c) 53(d) 55

Answer 53 ExplanationHe sells 950 grams of pulses and gains 50 gramsIf he sells 100 grams of pulses then he will gain (50 950) 100 = 526

20 A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes He takes a break for five minutes after every ten minutes How many lines of codes will he complete typing after an hour

(a) 150(b) 200(c) 250(d) 300

Ans 250 lines of codes

21 A man was engaged on a job for 30 days on the condition that he would get a wage of Rs 10 for the day he works but he have to pay a fine of Rs 2 for each day of his absence If he gets Rs 216 at the end he was absent for work for days

(a) 5 days

(b) 7 days

(c) 9 days

(d) 10 days

Answer 7 daysExplanationThe equation portraying the given problem is10 x ndash 2 (30 ndash x) = 216 where x is the number of working daysSolving this we get x = 23Number of days he was absent was 7 (30-23) days

22 A man bought a horse and a cart If he sold the horse at 10 loss and the cart at 20 gain he would not lose anything but if he sold the horse at 5 loss and the cart at 5 gain he would lose Rs 10 in the bargain The amount paid by him was Rsnotnotnotnot_______ for the horse and Rs________ for the cart

(a) Cost price of horse = Rs 300 amp the cost price of cart = 300

(b) Cost price of horse = Rs 400 amp the cost price of cart = 200

(c) Cost price of horse = Rs 500 amp the cost price of cart = 100

(d) Cost price of horse = Rs 350 amp the cost price of cart = 250

AnswerCost price of horse = Rs 400 amp the cost price of cart = 200Explanation-Let x be the cost price of the horse and y be the cost price of the cartIn the first sale there is no loss or profit (ie) The loss obtained is equal to the gain

Therefore (10100) x = (20100) y

X = 2 y -----------------(1)In the second sale he lost Rs 10 (ie) The loss is greater than the profit by Rs 10

Therefore (5 100) x = (5 100) y + 10 -------(2)Substituting (1) in (2) we get(10 100) y = (5 100) y + 10(5 100) y = 10y = 200 From (1) 2 200 = x = 400

23 A tennis marker is trying to put together a team of four players for a tennis tournament out of seven available males - a b and c females ndash m n o and p All players are of equal ability and there must be at least two males in the team For a team of four all players must be able to play with each other under the following restrictionsb should not play with mc should not play with p anda should not play with oWhich of the following statements must be false1 b and p cannot be selected together2 c and o cannot be selected together3 c and n cannot be selected together

(a) 1

(b) 2(c) 3(d) 4

Answer3ExplanationSince inclusion of any male player will reject a female from the team Since there should be four member in the team and only three males are available the girl n should included in the team always irrespective of others selection

24 Five farmers have 7 9 11 13 amp 14 apple trees respectively in their orchards Last year each of them discovered that every tree in their own orchard bore exactly the same number of apples Further if the third farmer gives one apple to the first and the fifth gives three to each of the second and the fourth they would all have exactly the same number of apples What were the yields per tree in the orchards of the third and fourth farmers

(a) 10 amp 10 apples per tree

(b) 11 amp 9 apples per tree

(c) 11 amp 1 apples per tree

(d) 9 amp 9 apples per tree

Answer11 amp 9 apples per treeExplanationLet a b c d amp e be the total number of apples bored per year in A B C D amp E lsquos orchard Given that a + 1 = b + 3 = c ndash 1 = d + 3 = e ndash 6 But the question is to find the number of apples bored per tree in C and D lsquos orchard If is enough to consider c ndash 1 = d + 3Since the number of trees in Crsquos orchard is 11 and that of Drsquos orchard is 13 Let x and y be the number of apples bored per tree in C amp d lsquos orchard respectivelyTherefore 11 x ndash 1 = 13 y + 3By trial and error method we get the value for x and y as 11 and 9

25 Five boys were climbing a hill J was following H R was just ahead of G K was between G amp H They were climbing up in a column Who was the second

(a) J(b) G(c) K(d) H

Answer GExplanation The order in which they are climbing is R ndash G ndash K ndash H ndash J

26 If point P is on line segment AB then which of the following is always true(a) AP = PB (b) AP gt PB (c) PB gt AP (d) AB gt AP

Answer (4)

Explanation P A B Since p is a point on the line segment AB AB gt AP

27 The length of the side of a square is represented by x+2 The length of the side of an equilateral triangle is 2x If the square and the equilateral triangle have equal perimeter then the value of x is _______

(a) 3(b) 4(c) 5(d) 6

Answer x = 4Explanation Since the side of the square is x + 2 its perimeter = 4 (x + 2) = 4x + 8Since the side of the equilateral triangle is 2x its perimeter = 3 2x = 6xAlso the perimeters of both are equal(ie) 4x + 8 = 6x (ie) 2x = 8 x = 4

28 It takes Mr Karthik y hours to complete typing a manuscript After 2 hours he was called away What fractional part of the assignment was left incomplete

(a) (y ndash 2) y

(b) (y + 2) y

(c) (y ndash 2) (y + 2)

(d) (2 - y) (y + 2)

Answer(y ndash 2) yExplanation To type a manuscript karthik took y hoursTherefore his speed in typing = 1yHe was called away after 2 hours of typingTherefore the work completed = 1y 2Therefore the remaining work to be completed = 1 ndash 2y (ie) work to be completed = (y-2)y

29 An old man distributed all the gold coins he had to his two sons into two different numbers such thatthe difference between the squares of the two numbers is 36 times the difference between the twonumbers How many coins did the old man have

(A) 24(B) 26(C) 30(D) 36

Ans Let x and y be the number of gold coins the two sons received Since we are given that the differencebetween the squares of the two numbers is 36 times the difference between the two numbers we have theequationx2 ndash y2 = 36(x ndash y)(x ndash y)(x + y) = 36(x ndash y) by the Difference of Squares formula a2 ndash b2 = (a ndash b)(a + b)

x + y = 36 by canceling (x ndash y) from both sidesHence the total number of gold coins the old man had is x + y which equals 36 The answer is (D)

30 Mr Smiths average annual income in each of the years 1966 and 1967 is x dollars His averageannual income in each of the years 1968 1969 and 1970 is y dollars What is his average annualincome in the five continuous years 1966 through 1970(A) 2x5 + 3y5(B) x2 + y2(C) 5(x + y)(D) 5x2 + 5y2

Ans Since Mr Smiths average annual income in each of the two years 1966 and 1967 is x dollars his totalincome in the two years is 2 10485771048577x = 2xSince Mr Smiths average annual income in each of the next three years 1968 through 1970 is y dollars histotal income in the three years is 3 10485771048577y = 3yHence the net income in the five continuous years is 2x + 3yHence the average income in the five years is(the net income) divide 5 =(2x + 3y)5 =2x5 + 3y5The answer is (A)

31 Katrina has a wheat business She purchases wheat from a local wholesaler at a particular cost perpound The price of the wheat at her stores is $3 per pound Her faulty spring balance reads 09pounds for a pound Also in the festival season she gives a 10 discount on the wheat She foundthat she made neither a profit nor a loss in the festival season At what price did Katrina purchase thewheat from the wholesaler(A) 243(B) 25(C) 27(D) 3

Ans The cost of wheat at Katrinarsquos store is $3 per pound After the 10 discount (festival season discount)the cost of the wheat would be by the known formula the original price (1 ndash discount percent100) =3(1 ndash 10100) = 3(90100) = 27 dollars per poundSince her faulty balance was reading 09 pounds for a pound she was unknowingly selling 1 pound in thename of 09 pounds This is equivalent to selling 109 = 109 pounds in the name of one pound HenceKatrina was trying to sell the wheat at 27 dollars per pound but effectively she was selling the wheat at 27dollars per (109 pounds) = 27 10485771048577910 = 243 dollars a pound Since she earned neither a profit nor a lossshe must have purchased the wheat at this same cost from the wholesaler Hence the answer is (A)

32 In jar A 60 of the marbles are red and the rest are green 40 of the red marbles are moved to anempty jar B 60 of the green marbles are moved to an empty jar C The marbles in both B and C arenow moved to another empty jar D What fraction of the marbles in jar A were moved to jar D(A) 012(B) 024(C) 036(D) 048

Ans Let j be the total number of marbles in the jar A Then 60j must be red (given) and the remaining40j must be green (given) NowNumber of marbles moved to empty jar B = 40 of the red marbles = 40(60j) = 40(60j) = 24jNumber of marbles moved to empty jar C = 60 of the green marbles = 60(40j) = 60(40j) = 24jSince the marbles in the jars B and C are now moved to the jar D jar D should have 24j + 24j = 48jmarbles

Hence the fraction of the marbles that were moved to jar D is 48jj = 048 The answer is (D)

33 Ana is a girl and has the same number of brothers as sisters Andrew is a boy and has twice as manysisters as brothers Ana and Andrew are the children of Emma How many children does Emma have(A) 2(B) 3(C) 5(D) 7

Ans Let the number of female children Emma has be n Since Anna herself is one of them she has n ndash 1sisters Hence as given she must have the same number (= n ndash 1) of brothers Hence the number of malechildren Emma has is n ndash 1 Since Andrew is one of them Andrew has (n ndash 1) ndash 1 = n ndash 2 brothers Nowthe number of sisters Andrew has (includes Anna) is n (= the number of female children) Since Andrewhas twice as many sisters as brothers we have the equation n = 2(n ndash 2) Solving the equation for n yields n= 4 Hence Emma has 4 female children and the number of male children she has is n ndash 1 = 4 ndash 1 = 3Hence the total number of children Emma has is 4 + 3 = 7 The answer is (D)

34 In a multi-voting system voters can vote for more than one candidate Two candidates A and B arecontesting the election 100 voters voted for A Fifty out of 250 voters voted for both candidates Ifeach voter voted for at least one of the two candidates then how many candidates voted only for B(A) 50(B) 100(C) 150(D) 200

Ans There are three kinds of voters1) Voters who voted for A only Let the count of such voters be a2) Voters who voted for B only Let the count of such voters be b3) Voters who voted for both A and B The count of such voters is 50 (given)Since the total number of voters is 250 we havea + b + 50 = 250a + b = 200 (1) By subtracting 50 from both sidesNow we have that 100 voters voted for A Hence we have(Voters who voted for A only) + (Voters who voted for both A and B) = 100Forming this as an equation yieldsa + 50 = 100a = 50Substituting this in equation (1) yields 50 + b = 200 Solving for b yields b = 150The answer is (C)

35 A survey of n people in the town of Eros found that 50 of them preferred Brand A Another surveyof 100 people in the town of Angie found that 60 preferred Brand A In total 55 of all the peoplesurveyed together preferred Brand A What is the total number of people surveyed(A) 50(B) 100(C) 150(D) 200

Ans

36 In a jar 25 of the marbles are red and 14 are green 14 of the red balls and 15 of the green balls arebroken If no other balls in the jar are broken then what is the probability that a ball randomly pickedfrom the jar is a broken one(A) 320(B) 730(C) 516(D) 13

Ans Let there be j balls in the jarAs given 2j5 are red and j4 are greenAlso 14 of the red balls are broken 14 of 2j5 = (14)(2j5) = 2j20Also 15 of the green balls are broken 15 of j4 = (15)(j4) = j20So the total number of balls broken is 2j20 + j20 = 3j20 Hence 320 of the balls in the jar are brokenSo the probability of selecting a broken ball is 320 The answer is (A)

37

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

14 Three pipes A B amp C are attached to a tank A amp B can fill it in 20 amp 30 minutes respectively while C can empty it in 15 minutes If A B amp C are kept open successively for 1 minute each how soon will the tank be filled(a) 161 minutes(b) 163 minutes(c) 165 minutes(d) 167 minutesAns 167 minutes

15 The letters A B C D E F and G not necessarily in that order stand for seven consecutive integers from 1 to 10D is 3 less than AB is the middle termF is as much less than B as C is greater than DG is greater than F

The fifth integer is(a) A(b) C(c) D(d) E

Ans (a)16 Five houses lettered ABCD amp E are built in a row next to each other The houses are lined up in

the order ABCD amp E Each of the five houses has a colored chimney The roof and chimney of each housemust be painted as followsi The roof must be painted either greenred or yellowii The chimney must be painted either white black or rediii No house may have the same color chimney as the color of roofiv No house may use any of the same colors that the every next house usesv House E has a green roofvi House B has a red roof and a black chimney 1 Which of the following is true (a) At least two houses have black chimney(b) At least two houses have red roofs(c) At least two houses have white chimneys(d) At least two houses have green roofs

Ans (c) 17 Two trains are 2 kms apart Speed of one train is 20ms and the other train is running at

30 ms Lengths of the trains are 200 and 300m In how much time do the trains cross each other

(a) 10 seconds(b) 20 seconds(c) 30 seconds(d) 50 seconds

Ans 50 seconds

18 A clock loses 10 minutes each hour If the clock is set correctly at noon what time is it when it reads 3 PM(a) 14 minutes(b) 12 minutes(c) 10 minutes(d) 8 minutes

Ans 8 minutes

19 A dishonest shopkeeper professes to sell pulses at the cost price but he uses a false weight of 950gm for a kg His gain is hellip

(a) 5(b) 51(c) 53(d) 55

Answer 53 ExplanationHe sells 950 grams of pulses and gains 50 gramsIf he sells 100 grams of pulses then he will gain (50 950) 100 = 526

20 A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes He takes a break for five minutes after every ten minutes How many lines of codes will he complete typing after an hour

(a) 150(b) 200(c) 250(d) 300

Ans 250 lines of codes

21 A man was engaged on a job for 30 days on the condition that he would get a wage of Rs 10 for the day he works but he have to pay a fine of Rs 2 for each day of his absence If he gets Rs 216 at the end he was absent for work for days

(a) 5 days

(b) 7 days

(c) 9 days

(d) 10 days

Answer 7 daysExplanationThe equation portraying the given problem is10 x ndash 2 (30 ndash x) = 216 where x is the number of working daysSolving this we get x = 23Number of days he was absent was 7 (30-23) days

22 A man bought a horse and a cart If he sold the horse at 10 loss and the cart at 20 gain he would not lose anything but if he sold the horse at 5 loss and the cart at 5 gain he would lose Rs 10 in the bargain The amount paid by him was Rsnotnotnotnot_______ for the horse and Rs________ for the cart

(a) Cost price of horse = Rs 300 amp the cost price of cart = 300

(b) Cost price of horse = Rs 400 amp the cost price of cart = 200

(c) Cost price of horse = Rs 500 amp the cost price of cart = 100

(d) Cost price of horse = Rs 350 amp the cost price of cart = 250

AnswerCost price of horse = Rs 400 amp the cost price of cart = 200Explanation-Let x be the cost price of the horse and y be the cost price of the cartIn the first sale there is no loss or profit (ie) The loss obtained is equal to the gain

Therefore (10100) x = (20100) y

X = 2 y -----------------(1)In the second sale he lost Rs 10 (ie) The loss is greater than the profit by Rs 10

Therefore (5 100) x = (5 100) y + 10 -------(2)Substituting (1) in (2) we get(10 100) y = (5 100) y + 10(5 100) y = 10y = 200 From (1) 2 200 = x = 400

23 A tennis marker is trying to put together a team of four players for a tennis tournament out of seven available males - a b and c females ndash m n o and p All players are of equal ability and there must be at least two males in the team For a team of four all players must be able to play with each other under the following restrictionsb should not play with mc should not play with p anda should not play with oWhich of the following statements must be false1 b and p cannot be selected together2 c and o cannot be selected together3 c and n cannot be selected together

(a) 1

(b) 2(c) 3(d) 4

Answer3ExplanationSince inclusion of any male player will reject a female from the team Since there should be four member in the team and only three males are available the girl n should included in the team always irrespective of others selection

24 Five farmers have 7 9 11 13 amp 14 apple trees respectively in their orchards Last year each of them discovered that every tree in their own orchard bore exactly the same number of apples Further if the third farmer gives one apple to the first and the fifth gives three to each of the second and the fourth they would all have exactly the same number of apples What were the yields per tree in the orchards of the third and fourth farmers

(a) 10 amp 10 apples per tree

(b) 11 amp 9 apples per tree

(c) 11 amp 1 apples per tree

(d) 9 amp 9 apples per tree

Answer11 amp 9 apples per treeExplanationLet a b c d amp e be the total number of apples bored per year in A B C D amp E lsquos orchard Given that a + 1 = b + 3 = c ndash 1 = d + 3 = e ndash 6 But the question is to find the number of apples bored per tree in C and D lsquos orchard If is enough to consider c ndash 1 = d + 3Since the number of trees in Crsquos orchard is 11 and that of Drsquos orchard is 13 Let x and y be the number of apples bored per tree in C amp d lsquos orchard respectivelyTherefore 11 x ndash 1 = 13 y + 3By trial and error method we get the value for x and y as 11 and 9

25 Five boys were climbing a hill J was following H R was just ahead of G K was between G amp H They were climbing up in a column Who was the second

(a) J(b) G(c) K(d) H

Answer GExplanation The order in which they are climbing is R ndash G ndash K ndash H ndash J

26 If point P is on line segment AB then which of the following is always true(a) AP = PB (b) AP gt PB (c) PB gt AP (d) AB gt AP

Answer (4)

Explanation P A B Since p is a point on the line segment AB AB gt AP

27 The length of the side of a square is represented by x+2 The length of the side of an equilateral triangle is 2x If the square and the equilateral triangle have equal perimeter then the value of x is _______

(a) 3(b) 4(c) 5(d) 6

Answer x = 4Explanation Since the side of the square is x + 2 its perimeter = 4 (x + 2) = 4x + 8Since the side of the equilateral triangle is 2x its perimeter = 3 2x = 6xAlso the perimeters of both are equal(ie) 4x + 8 = 6x (ie) 2x = 8 x = 4

28 It takes Mr Karthik y hours to complete typing a manuscript After 2 hours he was called away What fractional part of the assignment was left incomplete

(a) (y ndash 2) y

(b) (y + 2) y

(c) (y ndash 2) (y + 2)

(d) (2 - y) (y + 2)

Answer(y ndash 2) yExplanation To type a manuscript karthik took y hoursTherefore his speed in typing = 1yHe was called away after 2 hours of typingTherefore the work completed = 1y 2Therefore the remaining work to be completed = 1 ndash 2y (ie) work to be completed = (y-2)y

29 An old man distributed all the gold coins he had to his two sons into two different numbers such thatthe difference between the squares of the two numbers is 36 times the difference between the twonumbers How many coins did the old man have

(A) 24(B) 26(C) 30(D) 36

Ans Let x and y be the number of gold coins the two sons received Since we are given that the differencebetween the squares of the two numbers is 36 times the difference between the two numbers we have theequationx2 ndash y2 = 36(x ndash y)(x ndash y)(x + y) = 36(x ndash y) by the Difference of Squares formula a2 ndash b2 = (a ndash b)(a + b)

x + y = 36 by canceling (x ndash y) from both sidesHence the total number of gold coins the old man had is x + y which equals 36 The answer is (D)

30 Mr Smiths average annual income in each of the years 1966 and 1967 is x dollars His averageannual income in each of the years 1968 1969 and 1970 is y dollars What is his average annualincome in the five continuous years 1966 through 1970(A) 2x5 + 3y5(B) x2 + y2(C) 5(x + y)(D) 5x2 + 5y2

Ans Since Mr Smiths average annual income in each of the two years 1966 and 1967 is x dollars his totalincome in the two years is 2 10485771048577x = 2xSince Mr Smiths average annual income in each of the next three years 1968 through 1970 is y dollars histotal income in the three years is 3 10485771048577y = 3yHence the net income in the five continuous years is 2x + 3yHence the average income in the five years is(the net income) divide 5 =(2x + 3y)5 =2x5 + 3y5The answer is (A)

31 Katrina has a wheat business She purchases wheat from a local wholesaler at a particular cost perpound The price of the wheat at her stores is $3 per pound Her faulty spring balance reads 09pounds for a pound Also in the festival season she gives a 10 discount on the wheat She foundthat she made neither a profit nor a loss in the festival season At what price did Katrina purchase thewheat from the wholesaler(A) 243(B) 25(C) 27(D) 3

Ans The cost of wheat at Katrinarsquos store is $3 per pound After the 10 discount (festival season discount)the cost of the wheat would be by the known formula the original price (1 ndash discount percent100) =3(1 ndash 10100) = 3(90100) = 27 dollars per poundSince her faulty balance was reading 09 pounds for a pound she was unknowingly selling 1 pound in thename of 09 pounds This is equivalent to selling 109 = 109 pounds in the name of one pound HenceKatrina was trying to sell the wheat at 27 dollars per pound but effectively she was selling the wheat at 27dollars per (109 pounds) = 27 10485771048577910 = 243 dollars a pound Since she earned neither a profit nor a lossshe must have purchased the wheat at this same cost from the wholesaler Hence the answer is (A)

32 In jar A 60 of the marbles are red and the rest are green 40 of the red marbles are moved to anempty jar B 60 of the green marbles are moved to an empty jar C The marbles in both B and C arenow moved to another empty jar D What fraction of the marbles in jar A were moved to jar D(A) 012(B) 024(C) 036(D) 048

Ans Let j be the total number of marbles in the jar A Then 60j must be red (given) and the remaining40j must be green (given) NowNumber of marbles moved to empty jar B = 40 of the red marbles = 40(60j) = 40(60j) = 24jNumber of marbles moved to empty jar C = 60 of the green marbles = 60(40j) = 60(40j) = 24jSince the marbles in the jars B and C are now moved to the jar D jar D should have 24j + 24j = 48jmarbles

Hence the fraction of the marbles that were moved to jar D is 48jj = 048 The answer is (D)

33 Ana is a girl and has the same number of brothers as sisters Andrew is a boy and has twice as manysisters as brothers Ana and Andrew are the children of Emma How many children does Emma have(A) 2(B) 3(C) 5(D) 7

Ans Let the number of female children Emma has be n Since Anna herself is one of them she has n ndash 1sisters Hence as given she must have the same number (= n ndash 1) of brothers Hence the number of malechildren Emma has is n ndash 1 Since Andrew is one of them Andrew has (n ndash 1) ndash 1 = n ndash 2 brothers Nowthe number of sisters Andrew has (includes Anna) is n (= the number of female children) Since Andrewhas twice as many sisters as brothers we have the equation n = 2(n ndash 2) Solving the equation for n yields n= 4 Hence Emma has 4 female children and the number of male children she has is n ndash 1 = 4 ndash 1 = 3Hence the total number of children Emma has is 4 + 3 = 7 The answer is (D)

34 In a multi-voting system voters can vote for more than one candidate Two candidates A and B arecontesting the election 100 voters voted for A Fifty out of 250 voters voted for both candidates Ifeach voter voted for at least one of the two candidates then how many candidates voted only for B(A) 50(B) 100(C) 150(D) 200

Ans There are three kinds of voters1) Voters who voted for A only Let the count of such voters be a2) Voters who voted for B only Let the count of such voters be b3) Voters who voted for both A and B The count of such voters is 50 (given)Since the total number of voters is 250 we havea + b + 50 = 250a + b = 200 (1) By subtracting 50 from both sidesNow we have that 100 voters voted for A Hence we have(Voters who voted for A only) + (Voters who voted for both A and B) = 100Forming this as an equation yieldsa + 50 = 100a = 50Substituting this in equation (1) yields 50 + b = 200 Solving for b yields b = 150The answer is (C)

35 A survey of n people in the town of Eros found that 50 of them preferred Brand A Another surveyof 100 people in the town of Angie found that 60 preferred Brand A In total 55 of all the peoplesurveyed together preferred Brand A What is the total number of people surveyed(A) 50(B) 100(C) 150(D) 200

Ans

36 In a jar 25 of the marbles are red and 14 are green 14 of the red balls and 15 of the green balls arebroken If no other balls in the jar are broken then what is the probability that a ball randomly pickedfrom the jar is a broken one(A) 320(B) 730(C) 516(D) 13

Ans Let there be j balls in the jarAs given 2j5 are red and j4 are greenAlso 14 of the red balls are broken 14 of 2j5 = (14)(2j5) = 2j20Also 15 of the green balls are broken 15 of j4 = (15)(j4) = j20So the total number of balls broken is 2j20 + j20 = 3j20 Hence 320 of the balls in the jar are brokenSo the probability of selecting a broken ball is 320 The answer is (A)

37

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

(a) 10 seconds(b) 20 seconds(c) 30 seconds(d) 50 seconds

Ans 50 seconds

18 A clock loses 10 minutes each hour If the clock is set correctly at noon what time is it when it reads 3 PM(a) 14 minutes(b) 12 minutes(c) 10 minutes(d) 8 minutes

Ans 8 minutes

19 A dishonest shopkeeper professes to sell pulses at the cost price but he uses a false weight of 950gm for a kg His gain is hellip

(a) 5(b) 51(c) 53(d) 55

Answer 53 ExplanationHe sells 950 grams of pulses and gains 50 gramsIf he sells 100 grams of pulses then he will gain (50 950) 100 = 526

20 A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes He takes a break for five minutes after every ten minutes How many lines of codes will he complete typing after an hour

(a) 150(b) 200(c) 250(d) 300

Ans 250 lines of codes

21 A man was engaged on a job for 30 days on the condition that he would get a wage of Rs 10 for the day he works but he have to pay a fine of Rs 2 for each day of his absence If he gets Rs 216 at the end he was absent for work for days

(a) 5 days

(b) 7 days

(c) 9 days

(d) 10 days

Answer 7 daysExplanationThe equation portraying the given problem is10 x ndash 2 (30 ndash x) = 216 where x is the number of working daysSolving this we get x = 23Number of days he was absent was 7 (30-23) days

22 A man bought a horse and a cart If he sold the horse at 10 loss and the cart at 20 gain he would not lose anything but if he sold the horse at 5 loss and the cart at 5 gain he would lose Rs 10 in the bargain The amount paid by him was Rsnotnotnotnot_______ for the horse and Rs________ for the cart

(a) Cost price of horse = Rs 300 amp the cost price of cart = 300

(b) Cost price of horse = Rs 400 amp the cost price of cart = 200

(c) Cost price of horse = Rs 500 amp the cost price of cart = 100

(d) Cost price of horse = Rs 350 amp the cost price of cart = 250

AnswerCost price of horse = Rs 400 amp the cost price of cart = 200Explanation-Let x be the cost price of the horse and y be the cost price of the cartIn the first sale there is no loss or profit (ie) The loss obtained is equal to the gain

Therefore (10100) x = (20100) y

X = 2 y -----------------(1)In the second sale he lost Rs 10 (ie) The loss is greater than the profit by Rs 10

Therefore (5 100) x = (5 100) y + 10 -------(2)Substituting (1) in (2) we get(10 100) y = (5 100) y + 10(5 100) y = 10y = 200 From (1) 2 200 = x = 400

23 A tennis marker is trying to put together a team of four players for a tennis tournament out of seven available males - a b and c females ndash m n o and p All players are of equal ability and there must be at least two males in the team For a team of four all players must be able to play with each other under the following restrictionsb should not play with mc should not play with p anda should not play with oWhich of the following statements must be false1 b and p cannot be selected together2 c and o cannot be selected together3 c and n cannot be selected together

(a) 1

(b) 2(c) 3(d) 4

Answer3ExplanationSince inclusion of any male player will reject a female from the team Since there should be four member in the team and only three males are available the girl n should included in the team always irrespective of others selection

24 Five farmers have 7 9 11 13 amp 14 apple trees respectively in their orchards Last year each of them discovered that every tree in their own orchard bore exactly the same number of apples Further if the third farmer gives one apple to the first and the fifth gives three to each of the second and the fourth they would all have exactly the same number of apples What were the yields per tree in the orchards of the third and fourth farmers

(a) 10 amp 10 apples per tree

(b) 11 amp 9 apples per tree

(c) 11 amp 1 apples per tree

(d) 9 amp 9 apples per tree

Answer11 amp 9 apples per treeExplanationLet a b c d amp e be the total number of apples bored per year in A B C D amp E lsquos orchard Given that a + 1 = b + 3 = c ndash 1 = d + 3 = e ndash 6 But the question is to find the number of apples bored per tree in C and D lsquos orchard If is enough to consider c ndash 1 = d + 3Since the number of trees in Crsquos orchard is 11 and that of Drsquos orchard is 13 Let x and y be the number of apples bored per tree in C amp d lsquos orchard respectivelyTherefore 11 x ndash 1 = 13 y + 3By trial and error method we get the value for x and y as 11 and 9

25 Five boys were climbing a hill J was following H R was just ahead of G K was between G amp H They were climbing up in a column Who was the second

(a) J(b) G(c) K(d) H

Answer GExplanation The order in which they are climbing is R ndash G ndash K ndash H ndash J

26 If point P is on line segment AB then which of the following is always true(a) AP = PB (b) AP gt PB (c) PB gt AP (d) AB gt AP

Answer (4)

Explanation P A B Since p is a point on the line segment AB AB gt AP

27 The length of the side of a square is represented by x+2 The length of the side of an equilateral triangle is 2x If the square and the equilateral triangle have equal perimeter then the value of x is _______

(a) 3(b) 4(c) 5(d) 6

Answer x = 4Explanation Since the side of the square is x + 2 its perimeter = 4 (x + 2) = 4x + 8Since the side of the equilateral triangle is 2x its perimeter = 3 2x = 6xAlso the perimeters of both are equal(ie) 4x + 8 = 6x (ie) 2x = 8 x = 4

28 It takes Mr Karthik y hours to complete typing a manuscript After 2 hours he was called away What fractional part of the assignment was left incomplete

(a) (y ndash 2) y

(b) (y + 2) y

(c) (y ndash 2) (y + 2)

(d) (2 - y) (y + 2)

Answer(y ndash 2) yExplanation To type a manuscript karthik took y hoursTherefore his speed in typing = 1yHe was called away after 2 hours of typingTherefore the work completed = 1y 2Therefore the remaining work to be completed = 1 ndash 2y (ie) work to be completed = (y-2)y

29 An old man distributed all the gold coins he had to his two sons into two different numbers such thatthe difference between the squares of the two numbers is 36 times the difference between the twonumbers How many coins did the old man have

(A) 24(B) 26(C) 30(D) 36

Ans Let x and y be the number of gold coins the two sons received Since we are given that the differencebetween the squares of the two numbers is 36 times the difference between the two numbers we have theequationx2 ndash y2 = 36(x ndash y)(x ndash y)(x + y) = 36(x ndash y) by the Difference of Squares formula a2 ndash b2 = (a ndash b)(a + b)

x + y = 36 by canceling (x ndash y) from both sidesHence the total number of gold coins the old man had is x + y which equals 36 The answer is (D)

30 Mr Smiths average annual income in each of the years 1966 and 1967 is x dollars His averageannual income in each of the years 1968 1969 and 1970 is y dollars What is his average annualincome in the five continuous years 1966 through 1970(A) 2x5 + 3y5(B) x2 + y2(C) 5(x + y)(D) 5x2 + 5y2

Ans Since Mr Smiths average annual income in each of the two years 1966 and 1967 is x dollars his totalincome in the two years is 2 10485771048577x = 2xSince Mr Smiths average annual income in each of the next three years 1968 through 1970 is y dollars histotal income in the three years is 3 10485771048577y = 3yHence the net income in the five continuous years is 2x + 3yHence the average income in the five years is(the net income) divide 5 =(2x + 3y)5 =2x5 + 3y5The answer is (A)

31 Katrina has a wheat business She purchases wheat from a local wholesaler at a particular cost perpound The price of the wheat at her stores is $3 per pound Her faulty spring balance reads 09pounds for a pound Also in the festival season she gives a 10 discount on the wheat She foundthat she made neither a profit nor a loss in the festival season At what price did Katrina purchase thewheat from the wholesaler(A) 243(B) 25(C) 27(D) 3

Ans The cost of wheat at Katrinarsquos store is $3 per pound After the 10 discount (festival season discount)the cost of the wheat would be by the known formula the original price (1 ndash discount percent100) =3(1 ndash 10100) = 3(90100) = 27 dollars per poundSince her faulty balance was reading 09 pounds for a pound she was unknowingly selling 1 pound in thename of 09 pounds This is equivalent to selling 109 = 109 pounds in the name of one pound HenceKatrina was trying to sell the wheat at 27 dollars per pound but effectively she was selling the wheat at 27dollars per (109 pounds) = 27 10485771048577910 = 243 dollars a pound Since she earned neither a profit nor a lossshe must have purchased the wheat at this same cost from the wholesaler Hence the answer is (A)

32 In jar A 60 of the marbles are red and the rest are green 40 of the red marbles are moved to anempty jar B 60 of the green marbles are moved to an empty jar C The marbles in both B and C arenow moved to another empty jar D What fraction of the marbles in jar A were moved to jar D(A) 012(B) 024(C) 036(D) 048

Ans Let j be the total number of marbles in the jar A Then 60j must be red (given) and the remaining40j must be green (given) NowNumber of marbles moved to empty jar B = 40 of the red marbles = 40(60j) = 40(60j) = 24jNumber of marbles moved to empty jar C = 60 of the green marbles = 60(40j) = 60(40j) = 24jSince the marbles in the jars B and C are now moved to the jar D jar D should have 24j + 24j = 48jmarbles

Hence the fraction of the marbles that were moved to jar D is 48jj = 048 The answer is (D)

33 Ana is a girl and has the same number of brothers as sisters Andrew is a boy and has twice as manysisters as brothers Ana and Andrew are the children of Emma How many children does Emma have(A) 2(B) 3(C) 5(D) 7

Ans Let the number of female children Emma has be n Since Anna herself is one of them she has n ndash 1sisters Hence as given she must have the same number (= n ndash 1) of brothers Hence the number of malechildren Emma has is n ndash 1 Since Andrew is one of them Andrew has (n ndash 1) ndash 1 = n ndash 2 brothers Nowthe number of sisters Andrew has (includes Anna) is n (= the number of female children) Since Andrewhas twice as many sisters as brothers we have the equation n = 2(n ndash 2) Solving the equation for n yields n= 4 Hence Emma has 4 female children and the number of male children she has is n ndash 1 = 4 ndash 1 = 3Hence the total number of children Emma has is 4 + 3 = 7 The answer is (D)

34 In a multi-voting system voters can vote for more than one candidate Two candidates A and B arecontesting the election 100 voters voted for A Fifty out of 250 voters voted for both candidates Ifeach voter voted for at least one of the two candidates then how many candidates voted only for B(A) 50(B) 100(C) 150(D) 200

Ans There are three kinds of voters1) Voters who voted for A only Let the count of such voters be a2) Voters who voted for B only Let the count of such voters be b3) Voters who voted for both A and B The count of such voters is 50 (given)Since the total number of voters is 250 we havea + b + 50 = 250a + b = 200 (1) By subtracting 50 from both sidesNow we have that 100 voters voted for A Hence we have(Voters who voted for A only) + (Voters who voted for both A and B) = 100Forming this as an equation yieldsa + 50 = 100a = 50Substituting this in equation (1) yields 50 + b = 200 Solving for b yields b = 150The answer is (C)

35 A survey of n people in the town of Eros found that 50 of them preferred Brand A Another surveyof 100 people in the town of Angie found that 60 preferred Brand A In total 55 of all the peoplesurveyed together preferred Brand A What is the total number of people surveyed(A) 50(B) 100(C) 150(D) 200

Ans

36 In a jar 25 of the marbles are red and 14 are green 14 of the red balls and 15 of the green balls arebroken If no other balls in the jar are broken then what is the probability that a ball randomly pickedfrom the jar is a broken one(A) 320(B) 730(C) 516(D) 13

Ans Let there be j balls in the jarAs given 2j5 are red and j4 are greenAlso 14 of the red balls are broken 14 of 2j5 = (14)(2j5) = 2j20Also 15 of the green balls are broken 15 of j4 = (15)(j4) = j20So the total number of balls broken is 2j20 + j20 = 3j20 Hence 320 of the balls in the jar are brokenSo the probability of selecting a broken ball is 320 The answer is (A)

37

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

(c) 9 days

(d) 10 days

Answer 7 daysExplanationThe equation portraying the given problem is10 x ndash 2 (30 ndash x) = 216 where x is the number of working daysSolving this we get x = 23Number of days he was absent was 7 (30-23) days

22 A man bought a horse and a cart If he sold the horse at 10 loss and the cart at 20 gain he would not lose anything but if he sold the horse at 5 loss and the cart at 5 gain he would lose Rs 10 in the bargain The amount paid by him was Rsnotnotnotnot_______ for the horse and Rs________ for the cart

(a) Cost price of horse = Rs 300 amp the cost price of cart = 300

(b) Cost price of horse = Rs 400 amp the cost price of cart = 200

(c) Cost price of horse = Rs 500 amp the cost price of cart = 100

(d) Cost price of horse = Rs 350 amp the cost price of cart = 250

AnswerCost price of horse = Rs 400 amp the cost price of cart = 200Explanation-Let x be the cost price of the horse and y be the cost price of the cartIn the first sale there is no loss or profit (ie) The loss obtained is equal to the gain

Therefore (10100) x = (20100) y

X = 2 y -----------------(1)In the second sale he lost Rs 10 (ie) The loss is greater than the profit by Rs 10

Therefore (5 100) x = (5 100) y + 10 -------(2)Substituting (1) in (2) we get(10 100) y = (5 100) y + 10(5 100) y = 10y = 200 From (1) 2 200 = x = 400

23 A tennis marker is trying to put together a team of four players for a tennis tournament out of seven available males - a b and c females ndash m n o and p All players are of equal ability and there must be at least two males in the team For a team of four all players must be able to play with each other under the following restrictionsb should not play with mc should not play with p anda should not play with oWhich of the following statements must be false1 b and p cannot be selected together2 c and o cannot be selected together3 c and n cannot be selected together

(a) 1

(b) 2(c) 3(d) 4

Answer3ExplanationSince inclusion of any male player will reject a female from the team Since there should be four member in the team and only three males are available the girl n should included in the team always irrespective of others selection

24 Five farmers have 7 9 11 13 amp 14 apple trees respectively in their orchards Last year each of them discovered that every tree in their own orchard bore exactly the same number of apples Further if the third farmer gives one apple to the first and the fifth gives three to each of the second and the fourth they would all have exactly the same number of apples What were the yields per tree in the orchards of the third and fourth farmers

(a) 10 amp 10 apples per tree

(b) 11 amp 9 apples per tree

(c) 11 amp 1 apples per tree

(d) 9 amp 9 apples per tree

Answer11 amp 9 apples per treeExplanationLet a b c d amp e be the total number of apples bored per year in A B C D amp E lsquos orchard Given that a + 1 = b + 3 = c ndash 1 = d + 3 = e ndash 6 But the question is to find the number of apples bored per tree in C and D lsquos orchard If is enough to consider c ndash 1 = d + 3Since the number of trees in Crsquos orchard is 11 and that of Drsquos orchard is 13 Let x and y be the number of apples bored per tree in C amp d lsquos orchard respectivelyTherefore 11 x ndash 1 = 13 y + 3By trial and error method we get the value for x and y as 11 and 9

25 Five boys were climbing a hill J was following H R was just ahead of G K was between G amp H They were climbing up in a column Who was the second

(a) J(b) G(c) K(d) H

Answer GExplanation The order in which they are climbing is R ndash G ndash K ndash H ndash J

26 If point P is on line segment AB then which of the following is always true(a) AP = PB (b) AP gt PB (c) PB gt AP (d) AB gt AP

Answer (4)

Explanation P A B Since p is a point on the line segment AB AB gt AP

27 The length of the side of a square is represented by x+2 The length of the side of an equilateral triangle is 2x If the square and the equilateral triangle have equal perimeter then the value of x is _______

(a) 3(b) 4(c) 5(d) 6

Answer x = 4Explanation Since the side of the square is x + 2 its perimeter = 4 (x + 2) = 4x + 8Since the side of the equilateral triangle is 2x its perimeter = 3 2x = 6xAlso the perimeters of both are equal(ie) 4x + 8 = 6x (ie) 2x = 8 x = 4

28 It takes Mr Karthik y hours to complete typing a manuscript After 2 hours he was called away What fractional part of the assignment was left incomplete

(a) (y ndash 2) y

(b) (y + 2) y

(c) (y ndash 2) (y + 2)

(d) (2 - y) (y + 2)

Answer(y ndash 2) yExplanation To type a manuscript karthik took y hoursTherefore his speed in typing = 1yHe was called away after 2 hours of typingTherefore the work completed = 1y 2Therefore the remaining work to be completed = 1 ndash 2y (ie) work to be completed = (y-2)y

29 An old man distributed all the gold coins he had to his two sons into two different numbers such thatthe difference between the squares of the two numbers is 36 times the difference between the twonumbers How many coins did the old man have

(A) 24(B) 26(C) 30(D) 36

Ans Let x and y be the number of gold coins the two sons received Since we are given that the differencebetween the squares of the two numbers is 36 times the difference between the two numbers we have theequationx2 ndash y2 = 36(x ndash y)(x ndash y)(x + y) = 36(x ndash y) by the Difference of Squares formula a2 ndash b2 = (a ndash b)(a + b)

x + y = 36 by canceling (x ndash y) from both sidesHence the total number of gold coins the old man had is x + y which equals 36 The answer is (D)

30 Mr Smiths average annual income in each of the years 1966 and 1967 is x dollars His averageannual income in each of the years 1968 1969 and 1970 is y dollars What is his average annualincome in the five continuous years 1966 through 1970(A) 2x5 + 3y5(B) x2 + y2(C) 5(x + y)(D) 5x2 + 5y2

Ans Since Mr Smiths average annual income in each of the two years 1966 and 1967 is x dollars his totalincome in the two years is 2 10485771048577x = 2xSince Mr Smiths average annual income in each of the next three years 1968 through 1970 is y dollars histotal income in the three years is 3 10485771048577y = 3yHence the net income in the five continuous years is 2x + 3yHence the average income in the five years is(the net income) divide 5 =(2x + 3y)5 =2x5 + 3y5The answer is (A)

31 Katrina has a wheat business She purchases wheat from a local wholesaler at a particular cost perpound The price of the wheat at her stores is $3 per pound Her faulty spring balance reads 09pounds for a pound Also in the festival season she gives a 10 discount on the wheat She foundthat she made neither a profit nor a loss in the festival season At what price did Katrina purchase thewheat from the wholesaler(A) 243(B) 25(C) 27(D) 3

Ans The cost of wheat at Katrinarsquos store is $3 per pound After the 10 discount (festival season discount)the cost of the wheat would be by the known formula the original price (1 ndash discount percent100) =3(1 ndash 10100) = 3(90100) = 27 dollars per poundSince her faulty balance was reading 09 pounds for a pound she was unknowingly selling 1 pound in thename of 09 pounds This is equivalent to selling 109 = 109 pounds in the name of one pound HenceKatrina was trying to sell the wheat at 27 dollars per pound but effectively she was selling the wheat at 27dollars per (109 pounds) = 27 10485771048577910 = 243 dollars a pound Since she earned neither a profit nor a lossshe must have purchased the wheat at this same cost from the wholesaler Hence the answer is (A)

32 In jar A 60 of the marbles are red and the rest are green 40 of the red marbles are moved to anempty jar B 60 of the green marbles are moved to an empty jar C The marbles in both B and C arenow moved to another empty jar D What fraction of the marbles in jar A were moved to jar D(A) 012(B) 024(C) 036(D) 048

Ans Let j be the total number of marbles in the jar A Then 60j must be red (given) and the remaining40j must be green (given) NowNumber of marbles moved to empty jar B = 40 of the red marbles = 40(60j) = 40(60j) = 24jNumber of marbles moved to empty jar C = 60 of the green marbles = 60(40j) = 60(40j) = 24jSince the marbles in the jars B and C are now moved to the jar D jar D should have 24j + 24j = 48jmarbles

Hence the fraction of the marbles that were moved to jar D is 48jj = 048 The answer is (D)

33 Ana is a girl and has the same number of brothers as sisters Andrew is a boy and has twice as manysisters as brothers Ana and Andrew are the children of Emma How many children does Emma have(A) 2(B) 3(C) 5(D) 7

Ans Let the number of female children Emma has be n Since Anna herself is one of them she has n ndash 1sisters Hence as given she must have the same number (= n ndash 1) of brothers Hence the number of malechildren Emma has is n ndash 1 Since Andrew is one of them Andrew has (n ndash 1) ndash 1 = n ndash 2 brothers Nowthe number of sisters Andrew has (includes Anna) is n (= the number of female children) Since Andrewhas twice as many sisters as brothers we have the equation n = 2(n ndash 2) Solving the equation for n yields n= 4 Hence Emma has 4 female children and the number of male children she has is n ndash 1 = 4 ndash 1 = 3Hence the total number of children Emma has is 4 + 3 = 7 The answer is (D)

34 In a multi-voting system voters can vote for more than one candidate Two candidates A and B arecontesting the election 100 voters voted for A Fifty out of 250 voters voted for both candidates Ifeach voter voted for at least one of the two candidates then how many candidates voted only for B(A) 50(B) 100(C) 150(D) 200

Ans There are three kinds of voters1) Voters who voted for A only Let the count of such voters be a2) Voters who voted for B only Let the count of such voters be b3) Voters who voted for both A and B The count of such voters is 50 (given)Since the total number of voters is 250 we havea + b + 50 = 250a + b = 200 (1) By subtracting 50 from both sidesNow we have that 100 voters voted for A Hence we have(Voters who voted for A only) + (Voters who voted for both A and B) = 100Forming this as an equation yieldsa + 50 = 100a = 50Substituting this in equation (1) yields 50 + b = 200 Solving for b yields b = 150The answer is (C)

35 A survey of n people in the town of Eros found that 50 of them preferred Brand A Another surveyof 100 people in the town of Angie found that 60 preferred Brand A In total 55 of all the peoplesurveyed together preferred Brand A What is the total number of people surveyed(A) 50(B) 100(C) 150(D) 200

Ans

36 In a jar 25 of the marbles are red and 14 are green 14 of the red balls and 15 of the green balls arebroken If no other balls in the jar are broken then what is the probability that a ball randomly pickedfrom the jar is a broken one(A) 320(B) 730(C) 516(D) 13

Ans Let there be j balls in the jarAs given 2j5 are red and j4 are greenAlso 14 of the red balls are broken 14 of 2j5 = (14)(2j5) = 2j20Also 15 of the green balls are broken 15 of j4 = (15)(j4) = j20So the total number of balls broken is 2j20 + j20 = 3j20 Hence 320 of the balls in the jar are brokenSo the probability of selecting a broken ball is 320 The answer is (A)

37

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

(b) 2(c) 3(d) 4

Answer3ExplanationSince inclusion of any male player will reject a female from the team Since there should be four member in the team and only three males are available the girl n should included in the team always irrespective of others selection

24 Five farmers have 7 9 11 13 amp 14 apple trees respectively in their orchards Last year each of them discovered that every tree in their own orchard bore exactly the same number of apples Further if the third farmer gives one apple to the first and the fifth gives three to each of the second and the fourth they would all have exactly the same number of apples What were the yields per tree in the orchards of the third and fourth farmers

(a) 10 amp 10 apples per tree

(b) 11 amp 9 apples per tree

(c) 11 amp 1 apples per tree

(d) 9 amp 9 apples per tree

Answer11 amp 9 apples per treeExplanationLet a b c d amp e be the total number of apples bored per year in A B C D amp E lsquos orchard Given that a + 1 = b + 3 = c ndash 1 = d + 3 = e ndash 6 But the question is to find the number of apples bored per tree in C and D lsquos orchard If is enough to consider c ndash 1 = d + 3Since the number of trees in Crsquos orchard is 11 and that of Drsquos orchard is 13 Let x and y be the number of apples bored per tree in C amp d lsquos orchard respectivelyTherefore 11 x ndash 1 = 13 y + 3By trial and error method we get the value for x and y as 11 and 9

25 Five boys were climbing a hill J was following H R was just ahead of G K was between G amp H They were climbing up in a column Who was the second

(a) J(b) G(c) K(d) H

Answer GExplanation The order in which they are climbing is R ndash G ndash K ndash H ndash J

26 If point P is on line segment AB then which of the following is always true(a) AP = PB (b) AP gt PB (c) PB gt AP (d) AB gt AP

Answer (4)

Explanation P A B Since p is a point on the line segment AB AB gt AP

27 The length of the side of a square is represented by x+2 The length of the side of an equilateral triangle is 2x If the square and the equilateral triangle have equal perimeter then the value of x is _______

(a) 3(b) 4(c) 5(d) 6

Answer x = 4Explanation Since the side of the square is x + 2 its perimeter = 4 (x + 2) = 4x + 8Since the side of the equilateral triangle is 2x its perimeter = 3 2x = 6xAlso the perimeters of both are equal(ie) 4x + 8 = 6x (ie) 2x = 8 x = 4

28 It takes Mr Karthik y hours to complete typing a manuscript After 2 hours he was called away What fractional part of the assignment was left incomplete

(a) (y ndash 2) y

(b) (y + 2) y

(c) (y ndash 2) (y + 2)

(d) (2 - y) (y + 2)

Answer(y ndash 2) yExplanation To type a manuscript karthik took y hoursTherefore his speed in typing = 1yHe was called away after 2 hours of typingTherefore the work completed = 1y 2Therefore the remaining work to be completed = 1 ndash 2y (ie) work to be completed = (y-2)y

29 An old man distributed all the gold coins he had to his two sons into two different numbers such thatthe difference between the squares of the two numbers is 36 times the difference between the twonumbers How many coins did the old man have

(A) 24(B) 26(C) 30(D) 36

Ans Let x and y be the number of gold coins the two sons received Since we are given that the differencebetween the squares of the two numbers is 36 times the difference between the two numbers we have theequationx2 ndash y2 = 36(x ndash y)(x ndash y)(x + y) = 36(x ndash y) by the Difference of Squares formula a2 ndash b2 = (a ndash b)(a + b)

x + y = 36 by canceling (x ndash y) from both sidesHence the total number of gold coins the old man had is x + y which equals 36 The answer is (D)

30 Mr Smiths average annual income in each of the years 1966 and 1967 is x dollars His averageannual income in each of the years 1968 1969 and 1970 is y dollars What is his average annualincome in the five continuous years 1966 through 1970(A) 2x5 + 3y5(B) x2 + y2(C) 5(x + y)(D) 5x2 + 5y2

Ans Since Mr Smiths average annual income in each of the two years 1966 and 1967 is x dollars his totalincome in the two years is 2 10485771048577x = 2xSince Mr Smiths average annual income in each of the next three years 1968 through 1970 is y dollars histotal income in the three years is 3 10485771048577y = 3yHence the net income in the five continuous years is 2x + 3yHence the average income in the five years is(the net income) divide 5 =(2x + 3y)5 =2x5 + 3y5The answer is (A)

31 Katrina has a wheat business She purchases wheat from a local wholesaler at a particular cost perpound The price of the wheat at her stores is $3 per pound Her faulty spring balance reads 09pounds for a pound Also in the festival season she gives a 10 discount on the wheat She foundthat she made neither a profit nor a loss in the festival season At what price did Katrina purchase thewheat from the wholesaler(A) 243(B) 25(C) 27(D) 3

Ans The cost of wheat at Katrinarsquos store is $3 per pound After the 10 discount (festival season discount)the cost of the wheat would be by the known formula the original price (1 ndash discount percent100) =3(1 ndash 10100) = 3(90100) = 27 dollars per poundSince her faulty balance was reading 09 pounds for a pound she was unknowingly selling 1 pound in thename of 09 pounds This is equivalent to selling 109 = 109 pounds in the name of one pound HenceKatrina was trying to sell the wheat at 27 dollars per pound but effectively she was selling the wheat at 27dollars per (109 pounds) = 27 10485771048577910 = 243 dollars a pound Since she earned neither a profit nor a lossshe must have purchased the wheat at this same cost from the wholesaler Hence the answer is (A)

32 In jar A 60 of the marbles are red and the rest are green 40 of the red marbles are moved to anempty jar B 60 of the green marbles are moved to an empty jar C The marbles in both B and C arenow moved to another empty jar D What fraction of the marbles in jar A were moved to jar D(A) 012(B) 024(C) 036(D) 048

Ans Let j be the total number of marbles in the jar A Then 60j must be red (given) and the remaining40j must be green (given) NowNumber of marbles moved to empty jar B = 40 of the red marbles = 40(60j) = 40(60j) = 24jNumber of marbles moved to empty jar C = 60 of the green marbles = 60(40j) = 60(40j) = 24jSince the marbles in the jars B and C are now moved to the jar D jar D should have 24j + 24j = 48jmarbles

Hence the fraction of the marbles that were moved to jar D is 48jj = 048 The answer is (D)

33 Ana is a girl and has the same number of brothers as sisters Andrew is a boy and has twice as manysisters as brothers Ana and Andrew are the children of Emma How many children does Emma have(A) 2(B) 3(C) 5(D) 7

Ans Let the number of female children Emma has be n Since Anna herself is one of them she has n ndash 1sisters Hence as given she must have the same number (= n ndash 1) of brothers Hence the number of malechildren Emma has is n ndash 1 Since Andrew is one of them Andrew has (n ndash 1) ndash 1 = n ndash 2 brothers Nowthe number of sisters Andrew has (includes Anna) is n (= the number of female children) Since Andrewhas twice as many sisters as brothers we have the equation n = 2(n ndash 2) Solving the equation for n yields n= 4 Hence Emma has 4 female children and the number of male children she has is n ndash 1 = 4 ndash 1 = 3Hence the total number of children Emma has is 4 + 3 = 7 The answer is (D)

34 In a multi-voting system voters can vote for more than one candidate Two candidates A and B arecontesting the election 100 voters voted for A Fifty out of 250 voters voted for both candidates Ifeach voter voted for at least one of the two candidates then how many candidates voted only for B(A) 50(B) 100(C) 150(D) 200

Ans There are three kinds of voters1) Voters who voted for A only Let the count of such voters be a2) Voters who voted for B only Let the count of such voters be b3) Voters who voted for both A and B The count of such voters is 50 (given)Since the total number of voters is 250 we havea + b + 50 = 250a + b = 200 (1) By subtracting 50 from both sidesNow we have that 100 voters voted for A Hence we have(Voters who voted for A only) + (Voters who voted for both A and B) = 100Forming this as an equation yieldsa + 50 = 100a = 50Substituting this in equation (1) yields 50 + b = 200 Solving for b yields b = 150The answer is (C)

35 A survey of n people in the town of Eros found that 50 of them preferred Brand A Another surveyof 100 people in the town of Angie found that 60 preferred Brand A In total 55 of all the peoplesurveyed together preferred Brand A What is the total number of people surveyed(A) 50(B) 100(C) 150(D) 200

Ans

36 In a jar 25 of the marbles are red and 14 are green 14 of the red balls and 15 of the green balls arebroken If no other balls in the jar are broken then what is the probability that a ball randomly pickedfrom the jar is a broken one(A) 320(B) 730(C) 516(D) 13

Ans Let there be j balls in the jarAs given 2j5 are red and j4 are greenAlso 14 of the red balls are broken 14 of 2j5 = (14)(2j5) = 2j20Also 15 of the green balls are broken 15 of j4 = (15)(j4) = j20So the total number of balls broken is 2j20 + j20 = 3j20 Hence 320 of the balls in the jar are brokenSo the probability of selecting a broken ball is 320 The answer is (A)

37

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

Explanation P A B Since p is a point on the line segment AB AB gt AP

27 The length of the side of a square is represented by x+2 The length of the side of an equilateral triangle is 2x If the square and the equilateral triangle have equal perimeter then the value of x is _______

(a) 3(b) 4(c) 5(d) 6

Answer x = 4Explanation Since the side of the square is x + 2 its perimeter = 4 (x + 2) = 4x + 8Since the side of the equilateral triangle is 2x its perimeter = 3 2x = 6xAlso the perimeters of both are equal(ie) 4x + 8 = 6x (ie) 2x = 8 x = 4

28 It takes Mr Karthik y hours to complete typing a manuscript After 2 hours he was called away What fractional part of the assignment was left incomplete

(a) (y ndash 2) y

(b) (y + 2) y

(c) (y ndash 2) (y + 2)

(d) (2 - y) (y + 2)

Answer(y ndash 2) yExplanation To type a manuscript karthik took y hoursTherefore his speed in typing = 1yHe was called away after 2 hours of typingTherefore the work completed = 1y 2Therefore the remaining work to be completed = 1 ndash 2y (ie) work to be completed = (y-2)y

29 An old man distributed all the gold coins he had to his two sons into two different numbers such thatthe difference between the squares of the two numbers is 36 times the difference between the twonumbers How many coins did the old man have

(A) 24(B) 26(C) 30(D) 36

Ans Let x and y be the number of gold coins the two sons received Since we are given that the differencebetween the squares of the two numbers is 36 times the difference between the two numbers we have theequationx2 ndash y2 = 36(x ndash y)(x ndash y)(x + y) = 36(x ndash y) by the Difference of Squares formula a2 ndash b2 = (a ndash b)(a + b)

x + y = 36 by canceling (x ndash y) from both sidesHence the total number of gold coins the old man had is x + y which equals 36 The answer is (D)

30 Mr Smiths average annual income in each of the years 1966 and 1967 is x dollars His averageannual income in each of the years 1968 1969 and 1970 is y dollars What is his average annualincome in the five continuous years 1966 through 1970(A) 2x5 + 3y5(B) x2 + y2(C) 5(x + y)(D) 5x2 + 5y2

Ans Since Mr Smiths average annual income in each of the two years 1966 and 1967 is x dollars his totalincome in the two years is 2 10485771048577x = 2xSince Mr Smiths average annual income in each of the next three years 1968 through 1970 is y dollars histotal income in the three years is 3 10485771048577y = 3yHence the net income in the five continuous years is 2x + 3yHence the average income in the five years is(the net income) divide 5 =(2x + 3y)5 =2x5 + 3y5The answer is (A)

31 Katrina has a wheat business She purchases wheat from a local wholesaler at a particular cost perpound The price of the wheat at her stores is $3 per pound Her faulty spring balance reads 09pounds for a pound Also in the festival season she gives a 10 discount on the wheat She foundthat she made neither a profit nor a loss in the festival season At what price did Katrina purchase thewheat from the wholesaler(A) 243(B) 25(C) 27(D) 3

Ans The cost of wheat at Katrinarsquos store is $3 per pound After the 10 discount (festival season discount)the cost of the wheat would be by the known formula the original price (1 ndash discount percent100) =3(1 ndash 10100) = 3(90100) = 27 dollars per poundSince her faulty balance was reading 09 pounds for a pound she was unknowingly selling 1 pound in thename of 09 pounds This is equivalent to selling 109 = 109 pounds in the name of one pound HenceKatrina was trying to sell the wheat at 27 dollars per pound but effectively she was selling the wheat at 27dollars per (109 pounds) = 27 10485771048577910 = 243 dollars a pound Since she earned neither a profit nor a lossshe must have purchased the wheat at this same cost from the wholesaler Hence the answer is (A)

32 In jar A 60 of the marbles are red and the rest are green 40 of the red marbles are moved to anempty jar B 60 of the green marbles are moved to an empty jar C The marbles in both B and C arenow moved to another empty jar D What fraction of the marbles in jar A were moved to jar D(A) 012(B) 024(C) 036(D) 048

Ans Let j be the total number of marbles in the jar A Then 60j must be red (given) and the remaining40j must be green (given) NowNumber of marbles moved to empty jar B = 40 of the red marbles = 40(60j) = 40(60j) = 24jNumber of marbles moved to empty jar C = 60 of the green marbles = 60(40j) = 60(40j) = 24jSince the marbles in the jars B and C are now moved to the jar D jar D should have 24j + 24j = 48jmarbles

Hence the fraction of the marbles that were moved to jar D is 48jj = 048 The answer is (D)

33 Ana is a girl and has the same number of brothers as sisters Andrew is a boy and has twice as manysisters as brothers Ana and Andrew are the children of Emma How many children does Emma have(A) 2(B) 3(C) 5(D) 7

Ans Let the number of female children Emma has be n Since Anna herself is one of them she has n ndash 1sisters Hence as given she must have the same number (= n ndash 1) of brothers Hence the number of malechildren Emma has is n ndash 1 Since Andrew is one of them Andrew has (n ndash 1) ndash 1 = n ndash 2 brothers Nowthe number of sisters Andrew has (includes Anna) is n (= the number of female children) Since Andrewhas twice as many sisters as brothers we have the equation n = 2(n ndash 2) Solving the equation for n yields n= 4 Hence Emma has 4 female children and the number of male children she has is n ndash 1 = 4 ndash 1 = 3Hence the total number of children Emma has is 4 + 3 = 7 The answer is (D)

34 In a multi-voting system voters can vote for more than one candidate Two candidates A and B arecontesting the election 100 voters voted for A Fifty out of 250 voters voted for both candidates Ifeach voter voted for at least one of the two candidates then how many candidates voted only for B(A) 50(B) 100(C) 150(D) 200

Ans There are three kinds of voters1) Voters who voted for A only Let the count of such voters be a2) Voters who voted for B only Let the count of such voters be b3) Voters who voted for both A and B The count of such voters is 50 (given)Since the total number of voters is 250 we havea + b + 50 = 250a + b = 200 (1) By subtracting 50 from both sidesNow we have that 100 voters voted for A Hence we have(Voters who voted for A only) + (Voters who voted for both A and B) = 100Forming this as an equation yieldsa + 50 = 100a = 50Substituting this in equation (1) yields 50 + b = 200 Solving for b yields b = 150The answer is (C)

35 A survey of n people in the town of Eros found that 50 of them preferred Brand A Another surveyof 100 people in the town of Angie found that 60 preferred Brand A In total 55 of all the peoplesurveyed together preferred Brand A What is the total number of people surveyed(A) 50(B) 100(C) 150(D) 200

Ans

36 In a jar 25 of the marbles are red and 14 are green 14 of the red balls and 15 of the green balls arebroken If no other balls in the jar are broken then what is the probability that a ball randomly pickedfrom the jar is a broken one(A) 320(B) 730(C) 516(D) 13

Ans Let there be j balls in the jarAs given 2j5 are red and j4 are greenAlso 14 of the red balls are broken 14 of 2j5 = (14)(2j5) = 2j20Also 15 of the green balls are broken 15 of j4 = (15)(j4) = j20So the total number of balls broken is 2j20 + j20 = 3j20 Hence 320 of the balls in the jar are brokenSo the probability of selecting a broken ball is 320 The answer is (A)

37

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

x + y = 36 by canceling (x ndash y) from both sidesHence the total number of gold coins the old man had is x + y which equals 36 The answer is (D)

30 Mr Smiths average annual income in each of the years 1966 and 1967 is x dollars His averageannual income in each of the years 1968 1969 and 1970 is y dollars What is his average annualincome in the five continuous years 1966 through 1970(A) 2x5 + 3y5(B) x2 + y2(C) 5(x + y)(D) 5x2 + 5y2

Ans Since Mr Smiths average annual income in each of the two years 1966 and 1967 is x dollars his totalincome in the two years is 2 10485771048577x = 2xSince Mr Smiths average annual income in each of the next three years 1968 through 1970 is y dollars histotal income in the three years is 3 10485771048577y = 3yHence the net income in the five continuous years is 2x + 3yHence the average income in the five years is(the net income) divide 5 =(2x + 3y)5 =2x5 + 3y5The answer is (A)

31 Katrina has a wheat business She purchases wheat from a local wholesaler at a particular cost perpound The price of the wheat at her stores is $3 per pound Her faulty spring balance reads 09pounds for a pound Also in the festival season she gives a 10 discount on the wheat She foundthat she made neither a profit nor a loss in the festival season At what price did Katrina purchase thewheat from the wholesaler(A) 243(B) 25(C) 27(D) 3

Ans The cost of wheat at Katrinarsquos store is $3 per pound After the 10 discount (festival season discount)the cost of the wheat would be by the known formula the original price (1 ndash discount percent100) =3(1 ndash 10100) = 3(90100) = 27 dollars per poundSince her faulty balance was reading 09 pounds for a pound she was unknowingly selling 1 pound in thename of 09 pounds This is equivalent to selling 109 = 109 pounds in the name of one pound HenceKatrina was trying to sell the wheat at 27 dollars per pound but effectively she was selling the wheat at 27dollars per (109 pounds) = 27 10485771048577910 = 243 dollars a pound Since she earned neither a profit nor a lossshe must have purchased the wheat at this same cost from the wholesaler Hence the answer is (A)

32 In jar A 60 of the marbles are red and the rest are green 40 of the red marbles are moved to anempty jar B 60 of the green marbles are moved to an empty jar C The marbles in both B and C arenow moved to another empty jar D What fraction of the marbles in jar A were moved to jar D(A) 012(B) 024(C) 036(D) 048

Ans Let j be the total number of marbles in the jar A Then 60j must be red (given) and the remaining40j must be green (given) NowNumber of marbles moved to empty jar B = 40 of the red marbles = 40(60j) = 40(60j) = 24jNumber of marbles moved to empty jar C = 60 of the green marbles = 60(40j) = 60(40j) = 24jSince the marbles in the jars B and C are now moved to the jar D jar D should have 24j + 24j = 48jmarbles

Hence the fraction of the marbles that were moved to jar D is 48jj = 048 The answer is (D)

33 Ana is a girl and has the same number of brothers as sisters Andrew is a boy and has twice as manysisters as brothers Ana and Andrew are the children of Emma How many children does Emma have(A) 2(B) 3(C) 5(D) 7

Ans Let the number of female children Emma has be n Since Anna herself is one of them she has n ndash 1sisters Hence as given she must have the same number (= n ndash 1) of brothers Hence the number of malechildren Emma has is n ndash 1 Since Andrew is one of them Andrew has (n ndash 1) ndash 1 = n ndash 2 brothers Nowthe number of sisters Andrew has (includes Anna) is n (= the number of female children) Since Andrewhas twice as many sisters as brothers we have the equation n = 2(n ndash 2) Solving the equation for n yields n= 4 Hence Emma has 4 female children and the number of male children she has is n ndash 1 = 4 ndash 1 = 3Hence the total number of children Emma has is 4 + 3 = 7 The answer is (D)

34 In a multi-voting system voters can vote for more than one candidate Two candidates A and B arecontesting the election 100 voters voted for A Fifty out of 250 voters voted for both candidates Ifeach voter voted for at least one of the two candidates then how many candidates voted only for B(A) 50(B) 100(C) 150(D) 200

Ans There are three kinds of voters1) Voters who voted for A only Let the count of such voters be a2) Voters who voted for B only Let the count of such voters be b3) Voters who voted for both A and B The count of such voters is 50 (given)Since the total number of voters is 250 we havea + b + 50 = 250a + b = 200 (1) By subtracting 50 from both sidesNow we have that 100 voters voted for A Hence we have(Voters who voted for A only) + (Voters who voted for both A and B) = 100Forming this as an equation yieldsa + 50 = 100a = 50Substituting this in equation (1) yields 50 + b = 200 Solving for b yields b = 150The answer is (C)

35 A survey of n people in the town of Eros found that 50 of them preferred Brand A Another surveyof 100 people in the town of Angie found that 60 preferred Brand A In total 55 of all the peoplesurveyed together preferred Brand A What is the total number of people surveyed(A) 50(B) 100(C) 150(D) 200

Ans

36 In a jar 25 of the marbles are red and 14 are green 14 of the red balls and 15 of the green balls arebroken If no other balls in the jar are broken then what is the probability that a ball randomly pickedfrom the jar is a broken one(A) 320(B) 730(C) 516(D) 13

Ans Let there be j balls in the jarAs given 2j5 are red and j4 are greenAlso 14 of the red balls are broken 14 of 2j5 = (14)(2j5) = 2j20Also 15 of the green balls are broken 15 of j4 = (15)(j4) = j20So the total number of balls broken is 2j20 + j20 = 3j20 Hence 320 of the balls in the jar are brokenSo the probability of selecting a broken ball is 320 The answer is (A)

37

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

Hence the fraction of the marbles that were moved to jar D is 48jj = 048 The answer is (D)

33 Ana is a girl and has the same number of brothers as sisters Andrew is a boy and has twice as manysisters as brothers Ana and Andrew are the children of Emma How many children does Emma have(A) 2(B) 3(C) 5(D) 7

Ans Let the number of female children Emma has be n Since Anna herself is one of them she has n ndash 1sisters Hence as given she must have the same number (= n ndash 1) of brothers Hence the number of malechildren Emma has is n ndash 1 Since Andrew is one of them Andrew has (n ndash 1) ndash 1 = n ndash 2 brothers Nowthe number of sisters Andrew has (includes Anna) is n (= the number of female children) Since Andrewhas twice as many sisters as brothers we have the equation n = 2(n ndash 2) Solving the equation for n yields n= 4 Hence Emma has 4 female children and the number of male children she has is n ndash 1 = 4 ndash 1 = 3Hence the total number of children Emma has is 4 + 3 = 7 The answer is (D)

34 In a multi-voting system voters can vote for more than one candidate Two candidates A and B arecontesting the election 100 voters voted for A Fifty out of 250 voters voted for both candidates Ifeach voter voted for at least one of the two candidates then how many candidates voted only for B(A) 50(B) 100(C) 150(D) 200

Ans There are three kinds of voters1) Voters who voted for A only Let the count of such voters be a2) Voters who voted for B only Let the count of such voters be b3) Voters who voted for both A and B The count of such voters is 50 (given)Since the total number of voters is 250 we havea + b + 50 = 250a + b = 200 (1) By subtracting 50 from both sidesNow we have that 100 voters voted for A Hence we have(Voters who voted for A only) + (Voters who voted for both A and B) = 100Forming this as an equation yieldsa + 50 = 100a = 50Substituting this in equation (1) yields 50 + b = 200 Solving for b yields b = 150The answer is (C)

35 A survey of n people in the town of Eros found that 50 of them preferred Brand A Another surveyof 100 people in the town of Angie found that 60 preferred Brand A In total 55 of all the peoplesurveyed together preferred Brand A What is the total number of people surveyed(A) 50(B) 100(C) 150(D) 200

Ans

36 In a jar 25 of the marbles are red and 14 are green 14 of the red balls and 15 of the green balls arebroken If no other balls in the jar are broken then what is the probability that a ball randomly pickedfrom the jar is a broken one(A) 320(B) 730(C) 516(D) 13

Ans Let there be j balls in the jarAs given 2j5 are red and j4 are greenAlso 14 of the red balls are broken 14 of 2j5 = (14)(2j5) = 2j20Also 15 of the green balls are broken 15 of j4 = (15)(j4) = j20So the total number of balls broken is 2j20 + j20 = 3j20 Hence 320 of the balls in the jar are brokenSo the probability of selecting a broken ball is 320 The answer is (A)

37

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

Ans

36 In a jar 25 of the marbles are red and 14 are green 14 of the red balls and 15 of the green balls arebroken If no other balls in the jar are broken then what is the probability that a ball randomly pickedfrom the jar is a broken one(A) 320(B) 730(C) 516(D) 13

Ans Let there be j balls in the jarAs given 2j5 are red and j4 are greenAlso 14 of the red balls are broken 14 of 2j5 = (14)(2j5) = 2j20Also 15 of the green balls are broken 15 of j4 = (15)(j4) = j20So the total number of balls broken is 2j20 + j20 = 3j20 Hence 320 of the balls in the jar are brokenSo the probability of selecting a broken ball is 320 The answer is (A)

37

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

Soln

38

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

Soln

39 What is the missing number in this series 8 2 14 6 11 14 6 18 12a 16b 9c 15d 6Ans 2

40 The average between a two digit number and the number obtained by interchanging the digits is 9 What is the difference between the two digits of the numbera 8b 2c 5d Cannot be determinedAns c

41 x of y is y of

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

a xyb 2yc xd can t be determinedAns c

42 Sam and Mala have a conversation Sam says I am certainly not over 40 Mala Says I am 38 and you are at least 5 years older than me middot Now Sam says you are at least 39 all the statements by the two are false How old are they reallya Mala = 38 yrs Sam =31 yrsb Mala = 38 yrs Sam = 41 yrsc Mala = 31 yrs Sam = 41 yrsd Mala = 45yrs Sam = 41 yrsAns b

43 On sports day if 30 children were made to stand in a column 16 columns could be formed If 24 children were made to stand in a column how many columns could be formeda 20b 30c 40d 50Ans a

44 In a single throw of a dice what is the probability of getting a number greater than 4a 12b 23c 14d 13Ans d

45 A man owns 23 of the market research beauro business and sells 34 of his shares for Rs75000 What is the value of Businessa 150000b 13000c 240000d 34000Ans a

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

46 500 men are arranged in an array of 10 rows and 50 columns according to their heights Tallest among each row of all are asked to fall out And the shortestamong them is A Similarly after resuming that to their original podsitions that the shortest among each column are asked to fall out And the tallest among them is B Now who is taller among A and B a Ab Bc Both are of same heightd None of the aboveAns a

47 A man sells two buffaloes for Rs 7820 each On one he gains 15 and on theother he loses 15 His total gain or loss in the transaction isa 25 gainb 225 lossc 2 lossd 5 lossAns b

48 What is the sum of the first 25 natural odd numbersAnswer 625Explanation The sum of the first n natural odd nos is square(n) 1+3 = 4 = square(2) 1+3+5 = 9 = square(3)

49The following figure depicts three views of a cube Based on this answerquestion

The number on the face opposite to the face carrying 1 is _______

a 3 b 4 c 5d None of the above

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080

50 The difference between the compound interest and the simple interest on a certain sum at 12 pa for two years is Rs90 What will be the value of the amount at the end of 3 years

e 9000 f 6250 g 853080 h 878080

SolutionThe difference in the simple interest and compound interest for two years is on account of the interest paid on the first years interest when interest is reckoned using compound interest interest being compounded annually

Hence 12 of simple interest = 90 =gt simple interest = =750

As the simple interest for a year = 750 12 pa the principal = = Rs6250

If the principal is 6250 then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 + 3(750) + 3(90) + 1(1080) = 878080