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28 August 2011

Test Location: Koneru Lakshmiah University, Vijayawada

1. In the reading room of a library, there are 23 reading spots. Each reading

spot consists of a roundtable with 9 chairs placed around it. There are some

readers such that in each occupied reading spotthere are different numbers of

readers. If in all there are 36 readers, how many reading spots do nothave

even a single reader?a)8 b)none c)16 d)15

Solution: 23 reading spots, Each reading spot consists of 9 chairs placed

around it so There are somereaders such that in each occupied reading spot

there are different numbers of readers. For each tabledifferent no of persons

are sat,so for first table 1 person is sit,2nd table 2 persons are sit 36

readersmeans(1+2+3+4+5+6+7+8 so 8 tables are filled so 23-8=15 reading

spots does not have single reader.

2. A man jogs at 6 mph over a certain journey and walks over the same route

at 4 mph. What is hisaverage speed for the journey?

a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph

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

3.A girl has to make pizza with different toppings. There are 8 different

toppings. In how many ways can she make pizzas with 2 different toppings? a)16 b)56 c)112 d)28

Solution: 8c2

4.A toy train produces 10 different sounds when it moves around a circular toy

track of radius 5 m at 10 m per min. However, the toy train is defective and it

now produces only 2 different tunes at random. What are the odds that the

train produces for consecutive music tones of the same type?

a) 1 in 16 B)1 in 4 c)1 in 8 d)1 in 32Solution: initially it produces 10 sounds and the defect came and now it

produces only 2 different sounds and consecutively so there are totally 2

sounds and we have to select on sound and the probability is ½and it

produces the same sound consecutively for 2 times so the probability

becomes ½*1/2 i.e. ¼

5.A toy train produces 10 different sounds when it moves around a circular toy

track of radius 5 m at 10 m per min. However, the toy train is defective and it

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now produces only 2 different tunes at random. What are the odds that the

train produces for consecutive music tones of the same type? a) 1 in 16 B)1 in

4 c)1 in 8 d)1 in 32

Solution: initially it produces 10 sounds and the defect came and now it

produces only 2 different sounds and consecutively so there are totally 2

sounds and we have to select on sound and the probability is ½and it

produces the same sound consecutively for 2 times so the probability

becomes ½*1/2 i.e. ¼

6. Out of 7 children the youngest is boy then find the probability that all the

remaining children are boys

a)1/64 b)1/32 c)1/128 d)1/256

7.John buys a cycle for 31 dollars and given a cheque of amount 35 dollars.

Shop Keeper exchanged the cheque with his neighbor and gave change to

John. After 2 days, it is known that cheque is bounced. Shop keeper paid the

amount to his neighbor. The cost price of cycle is 19 dollars. What is the

profit/lossfor shop keeper?

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

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

loss

8. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25

yellow. The lights are out and it is totally dark. In spite of the darkness, she

can make out the difference between a hat and a glove. She takes out an item

out of the closet only if she is sure that if it is a glove. How many gloves must

she takeout to make sure she has a pair of each color?

a)50 b)8 c)60 d)42

Solution : 32r+24y+1y+1b+2b= 60

9.Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and

men. The hobbits and elves are peaceful creatures that prefer slow, silent lives

and appreciate nature and art. The dwarves and the men engage in physical

games. The game is as follows. A tournament is one where out of the two

teams that play a match, the one that loses get eliminated. The matches are

played in different rounds, wherein every round; half of the teams get

eliminated from the tournament. If there are 8 rounds played in knock out

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tournament, how many matches were played? a) 257 b) 256 c) 72 d) 255

Solution: perfect logic 2^8-1

10.There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all

without repeat. How many handshakes possible?

a)6 b)21 c)28 d)7

Solution :For handshakes type question i am confirming u that if the there are

n members are there Handshakes are given in linear manner =n-1(last person

cannot give hand shake to first person)Handshakes are given in cyclic manner

=n(last person can give hand shake to first person)But i do not know perfectly

for repetition it is nc2

11. 20 men handshake with each other without repetition. What is the total

number of handshakes made?

a) 190 b) 210 c) 150 d)2502.

12.If there are 2 wheelers and 4 wheelers parked in a school located at the

heart of the city, find the number of 4 wheelers parked there if there were 20

two wheelers parked the area?

a)48 b)50 c)52 d)64

Solution: proceed with answer is best in question they will give total no ofwheels

13.A volume of 10936 l water is in a container of sphere. How many

hemisphere of volume 4l each will be required to transfer all the water into the

small hemispheres?

a)2812 b)8231 c)2734 d)4222

14.A horse chases a pony 2 hours after the pony runs. Horse takes 3 hours toreach the pony .If the average speed of the horse is 81Kmph.Then what is the

average speed of the pony?

a)46.4 b)51 c)53.4 d)48.6

Solution:Horse takes 3 hours to cover the distance Pony takes 3+2 =5 hours

to cover the same distance, Velocity=distance/time, distance travelled by them

is equal it is 81*3=243km,speed of pony=243/5=48.6

15. On planet korba, a solar blast has melted the ice caps on its equator. 9

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years after the ice melts, tinyplanetoids called echina start growing on the

rocks. Echina grows in the form of circle, and therelationship between the

diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of yearssince the solar blast.Jaganrecorded the radius of some echina at a particular

spot as 7mm. How many years back did the solar blastoccur?

a) 17 b)21.25 c)12.25 d)14.05

Solution: radius =7mm,then diameter 2*radius,substitude diameter d in above

equation u will get answer

16)Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy.

Founded by Enzo Ferrariin 1928 as Scuderia Ferrari, the company sponsored

drivers and manufactured race cars before movinginto production of street-

legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company

hasbeen noted for its continued participation in racing, especially in Formula

One where it has employedgreat success .Rohit once bought a Ferrari. It

could go 4 times as fast as Mohan's old Mercedes. If thespeed of Mohan's

Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find

the totaltime taken for Rohit to drive that distance.

a) 20.72 b) 3.5 c) 238.25 d) 6.18Solution: speed of Ferrari =4*35=140,time=distance/velocity,

17)A sheet of paper has statements numbered from 1 to 70. For all values of n

from 1 to 70. Statement nsays ' At least n of the statements on this sheet are

false. „Which statements are true and which arefalse?

a) The even numbered statements are true and the odd numbered are false.

b) The odd numbered statements are true and the even numbered are false.

c) The first 35 statements are true and the last 35 are false.d) The first 35 statements are false and the last 35 are false.

18) If there are 30 cans out of them one is poisoned if a person tastes very

little he will die within 14hours so if there are mice to test and 24 hours to test,

how many mices are required to find the poisonedcan?

a) 3 b) 2 c) 6 d) 1

19)In a hotel we can order two types of varities,but we can make 6 more

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variteis in home.One can choosethe four varities with two from hotel as

must.Find how many ways one can order.

a)14 b)15 c)56 d)28

20)Thebacteria has the probability of split into 3 and probability to die is 1/3rd

of the total bacteria.Let theprobability is P.Some of them survived with

probability 1/5.Then which among the following relation istrue?

solution : P=1/3+1/5*3 b)P=1/5*(1/8-3)

21)How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which

are divisible by 4 if therepetition is allowed?

a)57 b)56 c)59 d)58

22)Which is the smallest no which divides 2880 and gives a perfect square?

a)4 b)9 c)3 d)5

Solution: for answer solve via options

23)Consider two tumblers, the first containing Water and next contains coffee.

Suppose you take onespoon of water out of the first tumbler and pour it into

the second tumbler. After moving you take one spoon of the mixture from the

second tumbler and pour it back into the first tumbler . Which one ofthefollowing statement holds now?

a) There is less coffee in the first tumbler than water in the second tumblersb)

There is more coffee in the firs tumbler than water in the second tumblerc)

There is as much coffee in the first tumbler as there is water in the

second tumbler

d) None of the statements holds true

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

questions

24)Given a collection of points P in the plane, a 1-set is a point in P that can

be separated from the restby a line, .i.e the point lies on one side of the line

while the others lie on the other side. The number of 1-sets of P is denoted by

n1(P). The minimum value of n1(P) over all configurations P of 5 points in

theplane in general position(.i.e no three points in P lie on a line) isa)3 b)5 c) 2

d)

Ans:For the minimum value the answer is 3 whatever the given no . of points.

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And for the maximum value the answer is the no. of points given in the

question.

25)The citizens of planet nigiet are 8 fingered and have thus developed their

decimal system in base 8.A certain street in nigiet contains 1000 (in base 8)

buildings numbered 1 to 1000. How many 3s are used in numbering these

buildings?

a) 54 b) 64 c) 265 d) 192

Ans: 192 - Some times base value is chang like: 9finger, 1 to 100(base 9)

26)Hare in the other. The hare starts after the tortoise has covered 1/5 of its

distance and that tooleisurely3. A hare and a tortoise have a race along a

circle of 100 yards diameter. The tortoise goes inone direction and the. The

hare and tortoise meet when the hare has covered only 1/8 of the distance.

Bywhat factor should the hare increase its speed so as to tie the race?a) 37.80

b)8 c) 40 d) 5

Ans: 37.80

27)Here 10 programers, type 10 lines with in 10 minutes then 60lines can type

within 60 minutes. Howmany programmers are needed?

a) 16 b) 6 c) 10 d) 60Solution: (men*time)/work)Ans: 10

This type of Q's repeated 3 times for me but values are different.

28)Alok and Bhanu play the following min-max game. Given the expression N

= 9 + X + Y - Z Where X,Y and Z are variables representing single digits (0 to

9), Alok would like to maximize N while Bhanuwould like to minimize it.

Towards this end, Alok chooses a single digit number and Bhanu substitutes

thisfor a variable of her choice (X, Y or Z). Alok then chooses the next valueand Bhanu, the variable tosubstitute the value. Finally Alok proposes the value

for the remaining variable. Assuming both play totheir optimal strategies, the

value of N at the end of the game would be

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

Solution : Simply substitute the following value for the given equation

if the equation is X+Y+Z then substitute the value 11

if the equation is X*Y+Z then substitute the value 18

if the equation is X-Y-Z then substitute the value 2

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Now the answer for the given question is

9 + 11=20

29)Alice and Bob play the following coins-on-a-stack game. 20 coins are

stacked one above the other.One of them is a special (gold) coin and the rest

are ordinary coins. The goal is to bring the gold coin tothe top by repeatedly

moving the topmost coin to another position in the stack.Alice starts and the

players take turns. A turn consists of moving the coin on the top to a position i

belowthe top coin (0 = i = 20). We will call this an i-move (thus a 0-move

implies doing nothing). The provisois that an i-move cannot be repeated; for

example once a player makes a 2-move, on subsequent turnsneither player

can make a 2-move. If the gold coin happens to be on top when it's a player's

turn thenthe player wins the game. Initially, the gold coinis the third coin from

the top. Then find the valid game between alice and bob.

a) In order to win, Alice's first move should be a 1-move.

b) In order to win, Alice's first move should be a 0-move.

c) In order to win, Alice's first move can be a 0-move or a 1-move.

d) Alice has no winning strategy.Ans: d

30)After the typist writes 12 letters and addresses 12 envelopes, she inserts

the letters randomly intothe envelopes (1 letter per envelope). What is theprobability that exactly 1 letter is inserted in animproper envelope?

a)1/12 b)0 c)12/212 d)11/12

Ans: b

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14 August 2011

Test Location : sbj college,banglore

1) Given a collection of points P in the plane , a 1-set is a point in P that can

be separated from the rest by a line, .i.e the point lies on one side of the line

while the others lie on the other side. The number of 1-sets of P is denoted by

n1(P). The minimum value of n1(P) over all configurations P of 5 points in the

plane in general position (.i.e no three points in P lie on a line) is

a) 3 b) 5 c) 2

2) Paul the octopus who has been forecasting the outcome of FIFA world cup

matches with tremendous accuracy has now been invited to predict ICC world

cup matches in 2011. We will assume that the world cup contenders have

been divided into 2 groups of 9 teams each. Each team in a group plays the

other teams in the group. The top two teams from each group enter the semi

finals (after which the winner is decided by knockout).

However, Paul has a soft spot for India and when India plays any team, Paul

always backs India. Alas, his predictions on matches involving India are right

only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for

India to win 7 of its group matches. What is the probability that India will win

the ICC world cup?a) (2/3)^10 b) (2/3)^9 + 8/3 * (2/3)^9 c) 8/3 * (2/3)^9 d)

(2/3)^10 + 8/3*(2/3)^9

3) Toy train produces at least 10 different tunes when it moves around a

circular toy track of radius 5 meters at 10 meters per minute. However , the toy

train is defective and it now produces only two different tunes at random. What

are the odds that the toy train produces 4 consecutive music tunes of thesame type?

a) 1 in 16 b) 1 in 4 c) 1 in 8

4) A number when divided by D leaves a remainder of 8 and when divided by

JJ3D leaves a remainder of 21 . What is the remainder left, when twice the

number is divided by 3D?

a) 13 b) cannot be determined c) 3 d) 42

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Ans: c

5) Six friends decide to share a big cake. Since all of them like the cake, they

begin quarreling who gets to first cut and have a piece of the cake. One friend

suggests that they have a blindfold friend choose from well shuffled set of

cards numbered one to six. You check and find that this method works as it

should simulating a fair throw of a die. You check by performing multiple

simultaneous trials of picking the cards blindfold and throwing a die. You note

that the number shown by the method of picking up a card and throwing a real

world die, sums to a number between 2 and 12. Which total would be likely to

appear more often – 8,9 or 10?

a) 8 b) All are equally likely c) 9 d) 10

6) One day Alice meets pal and byte in fairyland. She knows that pal lies on

Mondays, Tuesdays and Wednesdays and tells the truth on the other days of

the week byte, on the other hand, lies on Thursdays, Fridays and Saturdays,

but tells the truth on the other days of the week. Now they make the following

statements to Alice – pal. Yesterday was one of those days when I lie byte.

Yesterday was one of those days when I lie too. What day is it ?

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

7) A car manufacturer produces only red and blue models which come out of

the final testing area completely at random. What are the odds that 5

consecutive cars of the same color will come through the test area at any one

time?

c) 1 in 16 ci) 1 in 12 cii) 1 in 32 ciii)1 in 25

8) Alok is attending a workshop “How to do more with less” and today's themeis Working with fewer digits. The speakers discuss how a lot of miraculous

mathematics can be achieved if mankind(as well as womankind) had only

worked with fewer digits.

The problem posed at the end of the workshop is

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How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but

with repetition) that are divisible by 4?

Can you help Alok find the answer?

a) 100 b) 125 c) 75 d) 85

9) Rearrange the following letters to make a word and choose the category in

which it Ms RAPETEKA

a) Bird b) Vegetable c) City d) Fruit

10) On planet korba, a solar blast has melted the ice caps on its equator. 9

years after the ice melts, tiny planetoids called echina start growing on the

rocks. Echina grows in the form of circle, and the relationship between the

diameter of this circle and the age of echina is given by the formula

d = 4*√ (t-9) for t ≥ 9

Where d represents the diameter in mm and t the number of years since the

solar blast.

Jagan recorded the radius of some echina at a particular spot as 7mm. Howmany years back did the solar blast occur?

a) 17 b) 21.25 c) 12.25 d) 12.06

Ans: b

11) In the reading room of a library, there are23 reading spots. Each reading

spot consists of a round table with 9 chairs placed around it. There are some

readers such that in each occupied reading spot there are different numbers ofreaders. If in all there are 36 readers, how many reading spots do not have

even a single reader?

a) 8 b) None c) 16 d) 15

Ans: d

12) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello,

Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company

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sponsored drivers and manufactured race cars before moving into production

of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the

company has been noted for its continued participation in racing, especially in

Formula One where it has employed great success .Rohit once bought a

Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If the speed of

Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari is 953

km, find the total time taken for Rohit to drive that distance.

a) 20.72 b) 5.18 c) 238.25 d) 6.18

Ans: b

13) A sheet of paper has statements numbered from 1 to 70. For all values of

n from 1 to 70. Statement n says ' At least n of the statements on this sheet

are false. ' Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.

b) The odd numbered statements are true and the even numbered are false.

c) The first 35 statements are true and the last 35 are false.

d) The first 35 statements are false and the last 35 are false.

Ans: b

14) Middle – earth is a fictional land inhabited by Hobbits, Elves, dwarves and

men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent

lives and appreciate nature and art. The dwarves and the men engage in

physical games. The game is as follows . A tournol is one where out of the two


played in different rounds where in every round , half of the teams get

eliminated from the tournament. If there are 8 rounds played in a knock-outtournol how many matches were played?

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

Ans: D

15) A research lab in Chennai requires 100 mice and 75 sterilized cages for a

certain set of laboratory experiments . To identify the mice, the lab has

prepared labels with numbers 1 to 100 , by combining tags numbered 0 to 9.

The SPCA requires that the tags be made of toxin-free material and that the

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temperature of the cages be maintained at 27 degree Celsius. Also , not more

than 2 mice can be caged together and each cage must be at least 2 sq.ft in

area. The 5 experiments to be conducted by lab are to be thoroughly

documented and performed only after a round of approval by authorities. The

approval procedure takes around 48 hours. How many times is the tag

numbered '4' used by the lab in numbering these mice?

a) 9 b) 19 c) 20 d) 21

Ans: b

16) There are two water tanks A and B, A is much smaller than B. While water

fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80,

160... in tank B. (At the end of first hour, B has 10 litres , second hour it has

20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration

required to fill it completely?

a) 26 hrs b) 25 hrs c) 5 hrs d) 27 hrs

Ans: a

17) Consider two tumblers, the first containing one litre of coffee. Suppose you

take one spoon of water out of the first tumbler and pour it into the second

tumbler. After moving you take one spoon of the mixture from the second

tumbler and pour it back into the first tumbler . Which one of the followingstatement holds now?

a) There is less coffee in the first tumbler than water in the second tumbler.

b) There is more coffee in the firs tumbler than water in the second tumbler

c) There is as much coffee in the first tumbler as there is water in the second

tumbler

d) None of the statements holds true.

18) Francois Pachet , a researcher at Sony Computer Science laboratories is

also a jazz musician. He decided to build a robot able to improvise like a pro.

Named Continuator, the robot can duet with a live musician in real- time. It

listens to a musical phrase and then computes a complementary phrase with

the same playing style. If the cost of making the robot is divided between and

then computes a complementary phrase with the same playing style. If the

cost of making the robot is divided between materials , labour and overheads

in the ratio of 4:6:2.If the materials cost $108. the cost of the robot is

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a) $270 b) $324 c) $216 d) $ 648

Ans: b

19) A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25

yellow. The lights are out and it is totally dark inspite of the darkness. She can

make out the difference between a hat and a glove. She takes out an item

out of the closet only if she is sure that if it is a glove. How many gloves must

she take out to make sure she has a pair of each colour?

a) 50 b) 8 c) 60 d) 42

20) A man jogs at 6 mph over a certain journey and walks over the same route

at 4 mph. What is his average speed for the journey?

a) 2.4 mph b) 4 mph c) 4.8 mph d) 5 mph

Ans: c

21) Spores of a fungus, called late blight, grow and spread infection rapidly.

These pathogens were responsible for the Irish potato famine of the mid-19th

century. These seem to have attacked the tomato crops in England this year.

The tomato crops have reduced and the price of the crop has risen up . Theprice has already gone up to $45 a box from $27 a box a month ago. How

much more would a vegetable vendor need to pay to buy 27 boxes this month

over what he would have paid last month?

a) $27 b) $ 18 c) $45 d) $ 486

22) Given a collection of 36 points P in the plane and a point equidistant from

all points in P, which of the following are necessarily true?

A. The points in P lie on a circle.B. The distance between any pair of points in P is larger than the distance

between X and a point in P

a) A and B b) Neither A nor B c) B only d) A only

23) In the year 2002, Britain was reported to have had 4.3m closed – circuit

television (CCTV) cameras – one for every 14 people in the country . This

scrutiny is supposed to deter and detect crime. In one criminal case, the police

interrogates two suspects . The ratio between the ages of the two suspects is

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6:5 and the sum of their ages is 6:5 and the sum of their ages is 55 years.

After how many years will the ratio be 8:7.?

a) 11 b) 6 c) 10 d) 5

24) Susan made a block with small cubes of 8 cubic cm volume to make a

block 3 small cubes long, 9 small cubes wide and 5 small cubes deep. She

realizes that she has used more small cubes than she really needed. She

realized that she could have glued a fewer number of cubes together to lock

like a block with same dimensions, if it were made hollow. What is the

minimum number of cubes that she needs to make the block?

a) 114 b) 135 c) 21 d) 71

25) Alok and Bhanu play the following coins in a circle game. 99 coins are

arranged in a circle with each coin touching two other coin. Two of the coins

are special and the rest are ordinary. Alok starts and the players take turns

removing an ordinary coin of their choice from the circle and bringing the other

coins closer until they again form a (smaller) circle. The goal is to bring the

special coins adjacent to each other and the first player to do so wins the

game. Initially the special coins are separated by two ordinary coins O1 and

O2. Which of the following is true?

a) In order to win, Alok should remove O1 on his first turn.

b) In order to win, Alok should remove one of the coins different from O1 and

O2 on his first turn.

c) In order to win, Alok should remove O2 on his first turn.

d) Alok has no winning strategy.

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26 August 2011

1. For the king‟s revelry 30 barrels of beer have b een ordered . howerver, itwas found that one of them is poisoned. The poison takes effect even if

consumed in the tiniest amount after 14 hours. Yhou need to find within 24

hours the poisoned barrel and have at your disposal some beer guzzling mice.

The smallest number of mice required to find the poisoned barrel is

1) 2 2) 1 3) 4 4) 3

hint: 2^n> no of barrels ans:4

2. Given a collection of points P in the plane a 1-set is a point in P that can be

separated from the rest by a line; i.e the pint lies on one side of the line while

the others lie on the other side. The number of 1-sets of P is denoted by n1(P)

. The maximum value of n1(P) over all configurations P of 15 points in the

plane is

1) 5

2) 10

3) 15

4) 9

Ans: 15(Same as given number of points)

3. The pacelength P is the distance between the rear of two consecutive

footprints for men the formula n/P=190 gives an approximate relationshipbetween n and P where n= number os steps per minute and P= CX in meters.

Bernard knows his Pace Length is 104cm the formula applies to Bernards

walking. Calculate Bernards walking speed in kmph.

4. A hare and a tortoise have a race along a circle of 100 yards diameter. The

tortoise goes in one direction and the hare I the other. The hare starts after the

tortoise had coveredc 1/7 of its distance and that tooo leisurely. The hare and

tortoise meet when the hare has covered only 1/8 of the distance. By whatfactor shoul the hare increase its speed so as to ties the reace?

8

41.00

56

7

Ans: 1/7, 1/8

7*8=56

56-7=49

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49-8=41

49*41/7^2=41.00

5. Mr bean visited a magic shop and bought some magical marbles of different

colours along with other magical items. While returning home whenever he

saw a coloured light he took out marbles of similar colours and counted them.

So he counted the pink coloured marbles and found that he has bought 25 of

them . then he counted 10 green marbles and then 32 yellow marbles. He later

counted 30 purple coloured marbles with him. But when he reached a

crossing, he looked at a red light and started counting red marbles and found

that he had bought 34 red marbles. As soon as he finished counting, it started

raining heavily and by the time he reached home he was drenched. After

reaching home he found that the red, green, and yellow marbles had magically

changed colours and became white, while other marbles were unchanged . it

will take 1 day to regain its colo9urs, but he needs to give atleast one pair of

marbles to his wife so as to ensure that there is atleast one pair of red, yellow

and green marbles?

70

42

68

40

Ans: 34+32+2=68

6. There are two water tanks A and B, A is much smaller than B. While water

fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80,

160…..in tank B. 1/16 th of the tank B is filled in 21 hours. What is the time tofill the tank fully?

a) 26

(b) 25

(c) 5

(d) 27

7. A sheet of paper has statements numbered from 1 to 20. For all values of n

from 1 to 20. Statement n says 'At least n of the statements on this sheet are

false.' Which statements are true and which are false?

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(a) The even numbered statements are true and the odd numbered are false.

(b) The odd numbered statements are true and the even numbered are false.

(c) The first 6 statements are true and the last 6 are false.

(d) The first 13 statements are false and the last 13 are false.

Ans. c

Note: For this type of Questions, follow this:

--At least- I'st half are true, Last half are false

--Exactly- Last second one is true or (N-1)th Statement is true

--Almost- All are true.

8. The IT giant Tirnop has recently crossed a head count of 150000 and

earnings of $7 billion. As one of the forerunners in the technology front, Tirnop

continues to lead the way in products and services in India. At Tirnop, all

programmers are equal in every respect. They receive identical salaries and

also write code at the same rate. Suppose 12 such programmers take 12

minutes to write 12 lines of code in total. How long will it take 72 programmers

to write 72 lines of code in total?

Hint: m1*h1/w1=m2*h2/w2

9. 45 people {a1, a2, …, a12} meet and shake hands in a circular fashion. Inthe pairs, {a1, a2}, {a2, a3}, …, {a11, a12}, {a12, a1}. Then size of the smallestset of people such that the rest have shaken hands with at least one person in

the set is

(a) 12

(b) 10(c) 18

(d) 15

Ans. d

hint: ceiling[N/3]

10. 10 suspects are rounded by the police and questioned about a bank

robbery. Only one of them is guilty. The suspects are made to stand in a line

and each person declares that the person next to him on his right is guilty. The

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rightmost person is not questioned. Which of the following possibilities are

true?

A. All suspects are lying.

B. leftmost suspect is guilty.

C. leftmost suspect is guilty

(a) A only

(b) A and C

(c) A and B

(d) B only

ans: b

11. Alok and Bhanu play the following min-max game. Given the expression N

= 15 + X*(Y – Z) Where X, Y and Z are variables representing single digits (0

to 9), Alok would like to maximize N while Bhanu would like to minimize it.

Towards this end, Alok chooses a single digit number and Bhanu substitutes

this for a variable of her choice (X, Y or Z). Alok then chooses the next value

and Bhanu, the variable to substitute the value. Finally Alok proposes the

value for the remaining variable. Assuming both play to their optimal

strategies, the value of N at the end of the game would be?Ans. 15+18 =33

Note: For this type of questions:

x+y-z=11

x-y-z=2

x*(y+z)=18

12. How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5(but with repetition) that are divisible by 4? Can you help Alok find the answer?

(a) 100

(b) 125

(c) 75

(d) 85

Ans:. 5^n-1= 5^4-1=125, n= no of digits

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13. On planet korba, a solar blast has melted the ice caps on its equator. 9

years after the ice melts, tiny planetoids called echina start growing on the

rocks. Echina grows in the form of circle, and the relationship between the

diameter of this circle and the age of echina is given by the formula d = 4*v (t-

9) for t = 9 where d represents the diameter in mm and t the number of years

since the solar blast.Jagan recorded the radius of some echina at a particular

spot as 7mm. How many years back did the solar blast occur?

a) 17 b)21.25 c)12.25 d)14.05

Ans: b

14. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello,

Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company

sponsored drivers and manufactured race cars before moving into production

of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the

company has been noted for its continued participation in racing, especially in

Formula One where it has employed great success .Rohit once bought a

Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of

Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490km, find the total time taken for Rohit to drive that distance.

20.72 b) 5.18 c) 238.25 d) 6.18

Ans: b

15. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars.

Shop Keeper exchanged the cheque with his neighbor and gave change toJohn. After 2 days, it is known that cheque is bounced. Shop keeper paid the

amount to his neighbor. The cost price of cycle is 19 dollars. What is the

profit/loss for shop keeper?

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

Ans: a hint: 19+4=23

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16. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and

men. The hobbits and elves are peaceful creatures that prefer slow, silent lives

and appreciate nature and art. The dwarves and the men engage in physical

games. The game is as follows. A tournament is one where out of the two


played in different rounds, where in every round; half of the teams get

eliminated from the tournament. If there are 8 rounds played in knock out

tournament, how many matches were played?

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

And: d

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

a) 6

b) 7

c) 8

d) 9Ans: d

18. Alice and Bob play the following coins-on-a-stack game. 100 coins are

stacked one above the other. One of them is a special (gold) coin and the rest

are ordinary coins. The goal is to bring the gold coin to the top by repeatedly

moving the topmost coin to another position in the stack.

Alice starts and the players take turns. A turn consists of moving the coin on

the top to a position i below the top coin (0 = i = 100). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move

cannot be repeated; for example once a player makes a 2-move, on

subsequent turns neither player can make a 2-move.

If the gold coin happens to be on top when it‟s a player‟s turn then the player wins the game.

A. Alice has no winning strategy.

B. Initially, the gold coins the third coin from the top. Then

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C. In order to win, Alice‟s first move should be a 0-move.

D. In order to win, Alice‟s first move should be a 1-move.

Ans. D

19. After the typist writes 12 letters and addresses 12 envelopes, she inserts

the letters randomly into the envelopes (1 letter per envelope). What is the

probability that exactly 1 letter is inserted in an improper envelope?

(a) 0

(b) 12/212

(c) 11/12

(d) 1/12

Ans. a

20. The IT giant Tirnop has recently crossed a head count of 150000 and

earnings of $7 billion. As one of the forerunners in the technology front, Tirnop

continues to lead the way in products and services in India. At Tirnop, all

programmers are equal in every respect. They receive identical salaries ans

also write code at the same rate. Suppose 12 such programmers take 12

minutes to write 12 lines of code in total. How many lines of code can bewritten by 72 programmers in 72 minutes?

(a) 72

(b) 432

(c) 12

(d) 144

Ans. b

(This question is two times repeated in my question paper)

21. A circular dartboard of radius 2 foot is at a distance of 20 feet from you.

You throw a dart at it and it hits the dartboard at some point Q in the circle.

What is the probability that Q is closer to the center of the circle than the

periphery?

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

Ans: 0.25

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22. Planet Fourfe resides in 4-dimensional space and thus the currency used

by its residents are 3- dimensional objects. The rupee notes are cubical in

shape shile their coins are spherical. However the coin minting machinery lays

out some stipulations on the size of the coins. A. The diamere of the coins

should be at least 4 mm and not exceed 16mm. B. given a coin the diameter

of the next larger coin is at least 50% greater. C. the diameter of the coin must

always be na integer. You are asked to design a set of coins of different

diameters with thers requirements and your goal is to desigh as many coins as

possible. How many coins can you design?

1

2

4

3

Ans: 1

23. There are two boxes, one containing 24 red balls and the other containing

38 green balls. You are allowed to move the balls between the boxes so that

when you choose a box at random and a ball at random from the chosen boxthe probability of getting a red ball is maximized. This maximum probability is

.50

.39

.69

.19

24. Subha patel is an olfactory scientist working for internation flavors and

fragrances. She specializes in finding new scents recorded and reconstitutedfrom nature thanks to living flower technology she has extracted fragraned

ingredients from different flowering plants into bottles labeled citrus lilac,

woody, anisic and casis . she has learned that a formula for a perfume is

acceptable if and only if it does not violate any of the rules listed: if the

perfume contains citrus, it must also contain anisic, and the amount of anisic

must equal the amount of lilac. Woody cannot be used in combination with

anisic. Anisic cannot be used in combination with casis. If the perfume

contains casis, the amount of casis must be greater than the total amount of

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the other essence or essence used. Which of the following could be added to

and unacceptable perfume consisting of two parts woody and one part casis to

make it acceptable?

1. Two parts woody

2. One part lilac

3. One part citrus

4. Two parts casis

Ans: Two parts casis

25. exp(m,n)= m to the power of n, if exp(10,m) = n exp(2,4),what is the value

of n?

(i dont remember the options)

26. The citizens of planet Oz are 6 fingered and thus have developed a

number system in base 6. A certain street in Oz contains 1000 buildings

numbered from 1 to 1000. How many 3‟s are used in numbering thesebuildings? Express your answer in base 10.

Ans: 3 * n2=108 (n=6,....if n= number system given)

27. The dynamics of crowd behaviour are hard to study because usually

people are not reliable witness of their own behaviour. Now consider 4 people

standing in the queue of a supermarket. You want to predict their behaviour

based on their age group. You get to know fro the supermarket records that

their average age 3 years ago was 48 years. After a while, another person

joins the queue and the present average of all the 5 is 46 years. The present

age of the last person in the queue is:

Ans: 26 years

28. A man jogs at 6 mph over a certain journey and walks over the same route

at 4 mph. What is his average speed for the journey?

a) 2.4 mph

b) 4.8 mph

c) 4 mph

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d) 5 mph

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

29. A scientist was researching on animal behavior in his lab. He was very

interested in analyzing the behavior of bear. For some reason he travelled

1mile in north direction & reached at North Pole. There he saw a bear. He then

followed the bear around 1 hr with a speed of 2km/hr in east direction. After

that he travelled in south direction & reached at his lab in2 hrs. Then what is

the color of the bear?

a) White

b) Black

c) Gray

d) Brown

Solution is: White. above all the matter is nonsense

30. In a school, for a student out of 100 he got 74 of average for 7 subjects

and he got 79 marks in the 8th subject. what is the average of all the subject?

a) 76.251

b) 80.25

c) 74.265

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

31. A boy got 224 points out of 300, but he had to score atleast 79%. Now he

has one more exam left with him how much he have to score in remaining

exam to score atleast 79% if it is of 100 points.

Ans: 92 marks

32. The bacteria grows in exponential manner, the bacteria proportion at 3.00

P.M is 300 then at 7.00 P. M it raise to 153600. By how much will be the

proportion of bacteria at 10.00 P.M?

Ans: 39321600 (just solve it).

33. Six friends decide to share a big cake. Since all of them like the cake, they

begin quarreling who gets to first cut and have a piece of the cake. One friend

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suggests that they have a blindfold friend choose from well shuffled set of

cards numbered one to six. You check and find that this method works as it

should simulating a fair throw of a die. You check by performing multiple

simultaneous trials of picking the cards blindfold and throwing a die. You note

that the number shown by the method of picking up a card and throwing a real

world die, sums to a number between 2 and 12. Which total would be likely to

appear more often – 8,9 or 10?

a) 8

b) All are equally likely

c) 9

d) 10

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

and answer

34. Bhanu spends 30% of his income on petrol on scooter. ? of the remaining

on house rent and the balance on food. If he spends Rs.300 on petrol then

what is the expenditure on house rent?

a) Rs.525

b) Rs.1000

c) Rs.675d) Rs.175

(ans 175)

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

diagonal of a square such that the two extreme circles touch two sides of the

square and each middle circle touches two circles on either side. Find the ratio

of the side of the square to radius to the circles. You may assume that squatetoot of 2 is 1.4

(a) 13.90 :1 (b) 10.40 :1 (c) 11.80 :1 (d) 15.90 :1

Ans: b

Explanation: (2+6root(2)) : 1.

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1) Technical Round...

I had my technical round 7.45 P.M on 25th. It was about 20-25 minute.

1. Tell me about yourself ?

2. What is data structure expailn with real life example ?

3. Write a program for Ascending data structure ( that means sorting of array

using any sorting technique. i wrote by using bubble sort)

4. Explain the logic behind it ? (had the long debate of 5-10 min on it.)

5. Write a program to swap the value two variables without using third

variable.( wrote by simple logic but he wants different one.)

6. WAP to swap two variables with XOR ing of two variables(Wrote after giving

hint by him).

7. What are ranges of int, unsigned int, float,long ?

8. What are the Extra curricular activites hav u done ??

9. Do u hav any questions ??

--------------------------------------------------------------------------------------------------------

-------------------------------------------------------------

2) Managerial Round:

It was very cool for me. He didnt ask the hackneyed questions. He asked meabout the favourite subject and busy in looking at my app form resume and the

program the i wrote in previous interview. It was about 10-15 minutes.

1. So how u doing?

2. What is ur favourite subject ?

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3. What is array? (Explained in deep...he said now I`ll not ask the techincal

questions....)

4. tell me about ur family?

5. What is IT industry?

6. Who are famous personalities of IT industry?

7. Why should we Hire u?

8. Why TCS?

9. Do u hav any questions( had the debate.....).

3) HR Round

HR was also normal. it was about 7-10 minutes

1. Where do u live?

2. How often u go home??

3. What u do in hostel in ur leisure time?

4. Asked about the extra curricular activities that i had mentioned in theresume?

5. Any plans for P.G?

6. Why TCS why not infosys??

7. Are u ready for relocation??

8. Are u ready to sign the bond of 2 years??

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18 August 2011

Test Location : A.Z.I.Tech. Kerala

1. From a circular sheet of paper with a radius of 20 cm, four circles of radius

5cm each are cut out. What

is the ratio of the uncut to the cut portion?

[1] 1 : 3 [2] 4 : 1 [3] 3 : 1 [4] 4 : 3

2. Two liquids A and B are in the ratio 5 : 1 in container 1 and in container 2,

they are in the ratio 1 : 3. In

what ratio should the contents of the two containers be mixed so as to obtain a

mixture of A and B in

the ratio 1 : 1?

3. Out of two -thirds of the total number of basket-ball matches, a team has

won 17 matches and lost 3 of

them. What is the maximum number of matches that the team can lose and

still win three-fourths of the

total number of matches, if it is true that no match can end in a tie?

[1] 4 [2] 6 [3] 5 [4] 3

4. A closed wooden box of thickness 0.5 cm and length 21 cm, width 11 cm,and height 6 cm, is panted on

the inside. The cost of painting is Rs 70. What is the rate of painting in rupees

per sq. cm?

[1] 0.7 [2] 0.5 [3] 0.1 [4] 0.2

5. If a number 774958A96B is to be divisible by 8 and 9, the values of A and

B, respectively, will be:

[1] 7,8 [2] 8,0 [3] 5,8 [4] None of these

6. Once I had been to the post-office to buy stamps of five rupees, two rupees

and one rupee. I paid the

clerk Rs 20, and since he did not have change, he gave me three more

stamps of one rupee. If the

number of stamps of each type that I had ordered initially was more than one,

what was the total

number of stamps that I bought?

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[1] 10 [2] 9 [3] 12 [4] 8

7. Given the quadratic equation x2 - (A - 3) x - (A - 2), for what value of A will

the sum of the squares of

the roots be zero?

[1] - 2 [2] 3 [3] 6 [4] None of these

8. I sold two watches for Rs. 300 each, one at a loss of 10% and the other at a

profit of 10%. What is the

percent loss (- ) or the percent profit (+) that resulted from the transaction?

[1] (+) 10 [2] ( -) 1 [3] (+) 1 [4] 0

9. The price of a Maruti car rises by 30% while the sales of the car came down

by 20%. What is the

percent change in the total revenue?

[1] - 4 [2] - 2 [3] + 4 [4] 0

10. In triangle ABC, angle B is a right angle. If AC is 6 cm, and D is the mid-

point of side AC, the length

of BD is: A

DB C

[1] 4 cm [2] ? 6 cm [3] 3 cm [4] 3.5 cm

DIRECTIONS for Questions 11 and 12: Answer the questions based on the

following information:-

A, S, M and D are functions of x and y, and they are defined as follows:

A(x, y) + x + y

S(x, y) = x - yM(x, y) = xy

D(x, y) = x/y, where y ? 0.

11. What is the value of M(M(A(M(x, y), S(y,x)), x), A(y, x)) for x = 2, y = 3

[1] 50 [2] 140 [3] 25 [4] 70

12. What is the value of S(M(D(A(a, b), 2), D(A(a, b),2)), M(D(S(a, b), 2),

D(S(a, b),2)))

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[1] a² + b² [2] ab [3] a² - b² [4] a/b

13. In the figure „O‟ is the center of the circle and PT is the tangent to the circleat T. If PC = 4 cm and PT

= 8 cm, find the radius of the circle.

T

B O C P

[1] 5.5 cm [2] 6.5 cm [3] 6 cm [4] 7 cm

14. Which of the following value of x do not satisfy the inequality (x² - 3x + 2 >

0) at all?

[1] 1 ? ? ? 2 [2] - 1 ? x ? - 2 [3] 0 ? x ? 2 [4] 0 ? x ? - 2

15. A man travels three-fifths of distance AB at a speed of 3a, and the

remaining at a speed of 2b. If he goes

from B to A and back at a speed of 5c in the same time, then:

[1] 1/a + 1/b = 1/c [2] a + b = c [3] 1/a + 1/b = 2/c [4] None of these

Answer the questions based on the following data:

A salesman enters the quantity sold and the price into the computer. Both the

numbers are two-digit numbers.Once, by mistake, both the numbers were entered with their digits

interchanged. The total sales value remained

the same, i.e. Rs. 1148, but the inventory reduced by 54.

16. What is the actual price per piece?

[1] 82 [2] 41 [3] 56 [4] 28

17. What is the actual quantity sold?[1] 28 [2] 14 [3] 82 [4] 41

In a locality, there are five small towns, A, B, C, D and E. The

distances of these towns from each other are as follows:

AB = 2km AC = 2 km AD > 2 km AE > 3 km BC = 2km

BD = 4 km BE = 3 km CD = 2 km CE = 3km DE > 3 km

18. If a ration shop is to be set up within 2 km of each city, how many ration

shops will be required?

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[1] 2 [2] 3 [3] 4 [4] 5

19. If a ration shop is to be set up within 3 km of each city, how many ratio

shops will be required?

[1] 1 [2] 2 [3] 3 [4] 4

Choose the best alternative:

20. The cost of a diamond varies directly as the square of its weight. Once,

this diamond broke into four

pieces with weights in the ratio 1 : 2 : 3 : 4. When the pieces were sold, the

merchant got Rs. 70,000

less. Find the original price of the diamond.

[1] Rs. 1.4 lakh [2] Rs. 2.0 lakh [3] Rs. 1.0 lakh [4] Rs. 2.1 lakh

21. A cube of side 12 cm is painted red on all the faces and then cut into

smaller cubes, each of side 3 cm.

What is the total number of smaller cubes having none of their faces painted?

[1] 16 [2] 8 [3] 12 [4] 24

22. The points of intersection of three lines, 2X + 3Y - 5 = 0, 5X - 7Y + 2 = 0,

and 9X - 5Y - 4 = 0:[1] form a triangle. [2] are on lines perpendicular to each other.

[3] are on lines parallel to each other. [4] are coincident.

23. If n is any odd number greater t han 1, then n(n² - 1) is

[1] divisible by 48 always [2] divisible by 24 always

[3] divisible by 6 always [4] None of these

Each item has a questions followed by two statements.

Mark [1] if the question can be answered with the help of statement 1 alone

Mark [2] if the question can be answered with the help of statement 2 alone.

Mark [3] if the question can be answered with the help of both statements but

not with the help of either

statement alone.

Mark [4] if the question cannot be answered even with the help of both the

given statements.

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24. What is the radius of the inscribed circle of triangle ABC?

I. The area of the triangle is 20 cm² II. The perimeter of the

triangle is 20 cm.

25. What is the value of K?

I. 9x² + kx + 25 is the perfect square. II. |k| = - k

26. Is the area of triangle ABC equal to that of triangle DEF? The triangles are

inscribed in the same circle.

I. Their perimeters are equal.

II. The angles of triangles ABC are respectively equal to the angles

of triangle DEF.

27. ABC is a right triangle, with the right angle at B. BD is the bisector of angle

B. Is AD > DC?

I. C = 40° II. Hypotenuse AC = 15 cm.

28. Which has the greater area: rhombus ABCD or square PQRS?

I. Perimeter of rhombus = 8 and one angle measures 30°.

II. Perimeter of square = 4.

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