Practice Test of Aptitude

7/22/2019 Practice Test of Aptitude

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1. Alok and Bhanu play the following min-max game. Given the expression N = 19 + 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

O 100

O 019

O -62

O 37

2. The number of bacteria in a colony was growing exponentially. At 4 pm yesterday the number of

bacteria was 400 and at 6 pm yesterday it was 3600. How many bacteria were there in the colony at 7

pm yesterday?

O 3600

O 10800

O 32400

O 14400

3. A multiple choice question has 4 options. Choosing the correct option earns the student 3 marks.

However choosing the wrong option incurs negative marks so that if a student chooses an optionrandomly, his expected score is 0. Suppose a student has successfully eliminated 2 incorrect options. His

expected score if he chooses randomly among the remaining options is.

O 1.00

O 1.50

O 00

O 3

4. On the planet Oz, there are 8 days in a week - Sunday to Saturday and another day called Oz day.

There are 36 hours in a day and each hour has 90 minutes while each minute has 60 seconds. As on

earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of

a clock on Oz when the time is 12:40 am.

O 111 degrees O 251 degrees

O 71 degrees O 89 degrees


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5. You're going to get grounded for a week if you don't get at least 80% in your science class. So far you

have 237 of the total 300 points. The final test is worth 100 points. What is the minimum score you need

to get on the final test? Assume the teacher rounds properly.

O 93

O 80

O 83

O 100

6. 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 tournoi is one, where out of the two

teams that play a match, the one that loses get eliminated. The matches are played in different rounds

where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds

played in a knock-out tournoi how many matches were played?

O 257

O 72

O 255

O 256

7. 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 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 below the top coin (for

some i between 0 and 100). We will call this an i-move (thus a 0-move implies doing nothing). The

proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on

subsequent turns neither player can make a 2- move. If the gold coin happens to be on top when it's a

player's turn then the player wins the game. Initially, the gold coin is the third coin from the top. Then

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

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

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

O Alice has no winning strategy.


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8. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of S7 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 some rate. Suppose 20 such programmers take 20 minutes to write 20 lines of code in

total. How long will it take 5 programmers to write 5 lines of code in total?

O 25

O 20

O 100

O 5

9. Achilles was the son of the nymph Thetis and Peleus, the king of the Myrmidons. Zeus and Poseidon

had been rivals for the hand of Thetis until Prometheus, the fire-bringer, warned Zeus of a prophecy that

Thetis would bear a son greater than his father. For this reason, the two gods withdrew their pursuit,

and had her wed Peleus. The following statement is another interesting prophecy about the ages of two

childen of Zeus that would hold true at some time during the lifetime of the children. 4 years ago,

Athena's age was twice Helen's age. 4 years hence, Athena's age will be 4/3 times the age of Helen. Find

Athena's present age in binary numbers during the time that the statement holds true.

O 100

O 1001

O 101

O 1100

10.36 people (a1, a2, , a36) meet and shake hands in a circular fashion. In other words, there are

totally 36 handshakes involving the pairs, (a1, a2), (a2, a3),., (a35, a36), (a36, a1). Then the size of

the smallest set of people such that the rest have shaken hands with at least one person in the set is

O 11

O 18

O 12

O 13

11. Let exp(m,n) = m to the power n. If exp(10, m) = n exp(2, 2) where to and n are integers then

n = ?

O 25 O 10

O 2 O 5


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12. There are two boxes, one containing 32 red balls and the other containing 31 green balls. You are

allowed to move the balls between the boxes so that when you choose a box at random and a ball at

random from the chosen box, the probability of getting a red ball is maximized. This maximum

probability is

O .25

O .51

O .75

O .50

13. A man has some socks in his drawer - 18 identical blue, 24 identical red, and 22 identical black. The

lights are out and it is totally dark. How many socks must he take out to make sure he has a pair of each

colour?

O 32

O 48

O 42

O 34

14. A cyclist buys a cycle for 29 pounds paying with a 50 pound cheque. The seller changes the cheque

next door and gives the cyclist change. The cheque bounces so the seller paid his neighbour back. The

cycle cost the seller 12 pounds. How much did the seller lose?

O 33 pounds

O 12 pounds

O 50 pounds

O 41 pounds

15. The original price of a car was $23600. Because the car owner thought he could get more money for

the car, he increased the price of the car to 160% of its original price. After a week, the car had not sold,

so the owner then discounted the price by 20%, the car was finally sold. What price was the car sold for?

O 30208 $

O 37760 $

O 23600 $

O 7552 $


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16. The chairman of Tata Motors, Ratan Tata, had 300 engineers work for 5 years designing the world's

lowest-cost car, convinced that cost-conscious Indian drivers could live without air-conditioning and cup

holders. However, after the booking started they found that only 23 percent of initial 253850 orders for

the car - the Nano - were for the no frills $2600 model. How much time (in days) would it have taken if

there were 500 employees working for double the time?

O 547.50

O 3041.67

O 1095.00

O 450.00

17. Earl can stuff advertising circulars into envelops at the rate of 36 envelopes per minute and Ellen

requires a minute and a half to stuff the same number of envelopes. Working together, how long will it

take Earl and Ellen to stuff 360 envelopes?

O 6 minutes

O 5 minutes

O 7 minutes

O 3 minutes

18. In 1911, a French physicist Paul Langevin, devised a thought experiment based on Einstien's Special

Relativity. In the experiment, a person makes a journey into space at nearly the speed of light and

comes back to earth. He finds that he has aged five times less than his twin who stayed back on earth for40 years. This is popularly known as the Twin Paradox. Now, consider the case of Hansel and Gretel, who

are not twins. 9 years ago, Hansel was twice as old as Gretel. If they journey into space, an atomic clock

assists in logging the start time of their journey accurately. If they do not journey into space, 9 years

hence, Hansel's age will be 413 times the age of Greters. Find Hansel's age today in binary numbers.

O 11000

O 11011

O 1010

O 1001


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19. Recent reports have suggested that sportsmen with decreased metabolic rates perform better in

certain sports. After reading one such report, Jordan, a sportsperson from Arlington decides to undergo

a rigorous physical training program for 3 months, where he performs Yoga for 3 hours, walks for 2

hours and swims for 1 hour each day. He says: I began my training on a Wednesday in a prime number

month of 2008. I lost 1% of my original weight within the first 30 days. In the next two months

combined, I lost 1 Kg. If he walks at 6 mph over a certain journey and walks back over the same route at

8 mph at an altitude of 200 meters, what is his average speed for the journey?

O 48.00

O 6.86

O 3.43

O 7.00

20. Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest

by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of

1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 11 points in the

plane is

O 11

O 5

O 12

O 10

21. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20,

20 and 31, the number of points equidistant from all the 3 lines is

O 3

O 4

O 0

O 1

22. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing

success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability

as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and

Bolivia, Ghana the stronger team has a probability of 11/12 of winning the game. What is the probability

that Paul will correctly pick the winner of the Ghana-Bolivia game?

O .01 O .85

O .15 O .92


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23. A result of global warming is that the ice of some glaciers is melting. 12 years after the ice

disappears, tiny plants, called lichens, start to grow on the rocks. Each lichen grows approximately in the

shape of a circle. The relationship between the diameter of this circle and the age of the lichen can be

approximated with the formula: d =5* (t -12) for t >12, where d represents the diameter of the lichen in

millimeters, and t represents the number of years after the ice has disappeared. Using the above

formula, calculate the diameter of the lichen, 49 years after the ice has disappeared.

O 185

O 12

O 245

O 233

24. Alok is attending a workshop 'How to do more with less and today's theme is Working with fewer

digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as

womankind) had only worked with fewer digits. The problem posed at the end of the workshop is 'How

many 5 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?

O 625

O 250

O 781

O 782

25. Elephant competitions are of great entertainment value in south India. In one such competition held

in Cochin, 200 elephants participated. Each elephants was given equal amount of milk to drink for a

certain time period. Whichever elephant could drink the maximum would be the winner. One of the

elephants named Garru could drink 1/3 of the amount of milk offered. Another elephant named Marta

could drink only 1/20 of the amount of milk offered, but it was better than Thorny which could drink

2/45 of the amount of milk offered. Amazingly Darru could drink 6 litres more than 1/4 of the amount of

milk offered, where as Malar could drink 2/15 of the amount of milk offered. If the amount of milk left

over by the elephants Garru and Darru were same, then calculate the total amount of milk offered to

each elephant.

O 73.00 litres

O 71.00 litres

O 12.00 litres

O 72.00 litres


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26. 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 while their coins are spherical. However the

coin minting machinery lays out some stipulations on the size of the coins. A. The diameter of the coins

should be at least 4mm and not exceed 8mm.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 an integer. You are asked to design a set of

coins of different diameters with these requirements and your goal is to design as many coins as

possible. How many coins can you design?

O 3

O 0

O 1

O 2

27. The citizens of planet Oz are 4 fingered and thus have developed a number system in base 4. A

certain street in Oz contains 100 buildings numbered from 1 to 100. How many 1's are used in

numbering these buildings? Express your answer in base 10.

O 5

O 8

O 4

O 12

28. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one ofthe 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 13 such programmers take 13 minutes to write 13 lines of code in

total. How many programmers would it take to write 91 lines of code in 91 minutes?

O 13

O 7

O 91

O 20


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29. A sheet of paper has statements numbered from 1 to 16. For all values of n from 1 to 16, statement

n says 'At least n of the statements on this sheet are false.' Which statements are true and which are

false?

O The even numbered statements are true and the odd numbered are false.

O The odd numbered statements are true and the even numbered are false.

O The first half of the statements are true and the last half statements are false.

O The first half of the statements are false and the last half statements are true.

30. For the King's revelry 254 barrels of beer have been ordered. However, it was found that one of

them is poisoned. The poison takes effect even if consumed in the tiniest amount after 14 hours. You

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

O 9

O 8

O 254

O 7

31. Dollar stores, the stores which sell all of their merchandise for $1, have long had a reputation for

being down-at-the-heels places to buy cheap, generic goods. While keeping their low prices, they are

revamping their image and climbing the respectability ladder, in some cases to the Fortune 500. One

such dollar store which recently made an entry in the Fortune list which has 3800 stores all over theUnited States, said that they had a 4 percent increase in the number of transactions in 2008 compared

with the previous year to 32 million. The company made a profit of $22 million this year. What is the

average profit per store?

O 5.79 thousand $

O .58 thousand $

O 17.37 thousand $

O 8.42 thousand $


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32. 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 18 green marbles and then 46 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 45 Red marbles . As soon as he finished counting, it

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

found that the red, green and yellow marbles had magically changed colours and became white, while

other marbles were unchanged. It will take 1 day to regain its colours, but he needs to give atleast one

pair of marbles to his wife now. So how many white marbles must he choose and give to his wife so as

to ensure that there is atleast one pair of red , yellow and green marbles?

O 54

O 95

O 93

O 64

33. A police car starts chasing a fugitive in a BMW 3 hours after the BMW escapes from the scene of

crime at 10 AM. The BMW drives for 10 Km through the crowded roads of Shanghai and then drives into

a highway, where the traffic allows vehicles to move twice as fast. After a while, the police car finally

catches up with the BMW after a chase that lasted 4 hours. By this time the moon was up in the sky for

4 hours. If the average speed of the police car is 83 kmph, then the average speed of the BMW is

.. kmph.

O 35.57 O 47.43

O 48.43 O 11.86

34.19 people (a1, a2, .. , a19) are invited to a party. The host and the hostess shake hands with each

invitee and also with each other. The invitees shake hands in a circular fashion, i.e. the pairs (a1, a2),

(a2, a3), ..,(a18, a19), (a19, a1) shake hands. So, in all there are 58 handshakes. Let S be a set of

people such that every pair in S shake hands. The size of S is at most

O 2

O 3

O 1

O 4


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35. A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm.

If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes

remain unpainted?

O 500

O 488

O 900

O 800

36. Anoop managed to draw 5 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 the side of the square to radius of the circles. You may assume that

square root of 2 is 1.4

O 12.50 :1

O 07.60 :1

O 10.50 :1

O 09.00 :1

37. Subha Patel is an olfactory scientist working for International Flavors and Fragrances. She specializes

in finding new scents recorded and reconstituted from nature thanks to Living Flower Technology. She

has extracted fragrance ingredients from different flowering plants into bottles labeled floral, sweet,

honey, minty and cedar. 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 floral, it must also contain honey and there

must be twice as much honey as floral. If the perfume contains sweet, it must also contain minty, and

the amount of minty must equal the amount of sweet, honey cannot be used in combination with minty.

minty cannot be used in combination with cedar. If the perfume contains cedar, the amount of cedar

must be greater than the total amount of the other essence or essences used. Which of the following

could be added to an unacceptable perfume consisting of twoparts honey and one part cedar to make it

acceptable?

O One part sweet

O One part floral

O Two parts honey

O Two parts cedar


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38. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one

direction and the hare in the other. The hare starts after the tortoise has covered 1/4 of its distance and

that too leisurely.The hare and tortoise meet when the hare has covered only 1/5 of the distance. By

what factor should the hare increase its speed so as to tie the race?

O 5

O 4

O 20

O 11.00

39. 45 suspects are rounded by the police and questioned about a bank robbery. Only one of them is

guilty. The suspects are made to stand in a line and each person declares that the person next to him on

his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true'?

A. All the suspects are lying. B. The leftmost suspect is guilty.C. The rightmost suspect is guilty.

O B only

O A only

O A and B

O A and C

40. A circular dashboard of radius 2.0 foot is at a distance of 20 feet from you. You throw a dart at it and

it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of

the circle than the periphery?

O .25

O .75

O 1.00

O .50

41. After the typist writes 40 letters and addresses 40 envelopes, she inserts the letters randomly into

the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an

improper envelope'?

O 1/40

O 1/40!

O 1- 1/40

O 0


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42. The pacelength P is the distance between the rear of two consecutive footprints. For men, the

formula, n/P =125 gives an approximate relationship between n and P where, n = number of steps per

minute and P = pacelength in meters. Bernard knows his pacelength is 161cm. The formula applies to

Bernard's walking.Calculate Bernard's walking speed in kmph.

O 19.44

O 12.88

O 7.76

O 201.25

43. There are two water tanks A and B, A is much smaller than B. 'While water fills at the rate of one litre

everyhour in A,it gets filled up like 10, 20, 40, 80, 160 .. in tank B. (At the end of first hour, B has 10

litres,second hour it has 20, and so on). If tank B is 1/16 filled after 11 hours, what is the total duration

required to fill it completely'?

O 4 hours

O 15 hours

O 14 hours

O 16 hours

44. 9 people meet and shake hands. The maximum number of handshalces possible ifthere is to be no

'cycle of handshakes is (A cycle of handshakes is a sequence of people al, a2, ..., ak, k>2 such that the

pairs {a1,a2}, {a2,a3}, ..., {a(k1), ak}, {ak,a1} shake hands).

O 6

O s

O 8

O ?

45. The teacher is testing a student's proficiency in arithmetic and poses the following question: 1/2 of a

number is 5 more than 1/6 of the same number. What is the number? Can you help the student find the

answer?

O 14

O 16

O 3

O 15


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46.Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by EnzoFerrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before

moving into production of street-legal vehicles in 1947 as Ferrari S.p.A.. Throughout its history, the

company has been noted for its continued participation in racing, especially in Formula One, where it

has enjoyed great success. Rohit once bought a Ferrari. It could go 4 times as fast as Mohit's old

Mercedes. If the speed of Mohit's Mercedes is 30 Km/hr and the distance travelled by the Ferrari is 946

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

O 31 Hours O 236 Hours

O 8 Hours O 7.88 Hours

47. Alok and Bhanu play the following mm-max game. Given the expression N = 16+ 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 theiroptimal strategies, the value of N at the end of the game would be

O 27

O 7

O 34

O 25

48.

A sheet of paper has statements numbered from 1 to 16. For all values of n from I to 16. statementn says: 'Exactly n of the statements on this sheet are false. Which statements are true and which are

false?

O AII the statements are false

O The even numbered statements are true and the odd numbered statements are false

O The odd numbered statements are true and the even numbered statements are false

O The second last statement is true and the rest are false.


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49. 48 people {a1, a2, a48) meet and shake hands in a circular fashion. In other words, there are

totally 48 handshakes involving the pairs, {a1, a2}, {a2, a3},.. {a47, a48}, {a48, a1}. Then the size of

the smallest set of people such that the rest have shaken hands with at least one person in the set is

O 16

O 24

O 17

O 15

50.9 years ago I was five times as old as my eldest son Today I am 3 times his age. HOW old am I now?Express my age in binary numbers.

O 10100

O 10010

O 110110

O 110111

51.A lady has some fine gloves and hats in her closet- 19 blue, 20 red, and 29 yellow. The lights are outand 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 it is a glove. How many gloves must shetake out to make sure she has a pair of each colour?

O 39.00

O 28.00

O 51.00

O 30.00

52.A group of friends Tom, Tina, Dick, Diana, Harry, and Harriet go out to a fair three hundred metersfrom the McDonalds which is five KMs away. They see a weighing machine and decide to have some fun.However the girls refuse to step on the weighing machine. So Tom, Dick and Harry, weigh themselves ina particular order. First Tom, Dick, and Harry weigh themselves individually and then Tom and Dick, Dickand Harry, Tom and Harry and then Tom, Dick and Harry together respectively. The recorded weight forthe last measure is 161 kgs. The average of all the 7 measures is:

O 92.00

O 115.00

O 207.00

O 53.67


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53.When a man weighing SO Kg ru.ns at an average speed of 10 Km1r, his rate of energy dissipation is

four times higher than when he runs at an average speed of 3 Km hr. However, when a 60 Kg man runsat 12 Km hr: his rate of energy dissipation is only three times higher than when he runs at an averagespeed of 6 km hr. If a man walks at 4 mph over a certain journey and jogs back over the same route at 6mph at an altitude of 200 meters. What is his average speed for the jou.rney in mph?

O 6.00

O 2.40

O 120.00

O 4.80

54.The Thousand Pillar Temple of Hyderabad was built by the Kakatiyans of Chalukyan dynasty in the12th century. Each pillar has carvings made of black monolithic rocks of basalt which are polished to giveit a brilliant look. One sunny morning, three tourists visit the temple. Sandeep is taller than Richie andtaller than two of the thousand pillars, and Jithesh is shorter than Sandeep and three pillars. Which of thefollowing statements would be most accurate?

O Richie is taller than Sithesh

O Richie is shorter than Sithesh

O Sithesh is as tall as Richie

O lt's impossible to tell

55.A greengrocer was selling orange at a penny each, olives at 2 for a penny and pears at 3 for a penny.A father spent 7p and got the same amount of each type of fruit for each of his three children: Jane: Joe:and Jill. Jane is three years older than Jill and Joe is exactly half the age of Jane and Jill together. Whatdid each child get?

O 1 orange :2 olive's': 1 pear

O 1 orange :2 olive's': 2 pear's'

O 1 orange :3 olive's': 2 pear's'

O 1 orange :1 olive, 1 pear

56.Susan made a block with small cubes of 6 cubic cm volume to make a block 6 small cubes long: 8small cubes wide and 10 small cubes deep. She realises that she has used more small cubes than shereally needed. She realised that she could have glued a fewer number of cubes together to look like ablock. with same dimensions: if it were made hollow. What is the minimum number of cubes that she

needs to make the block?

O 288.00

O 480.00

O 192.00

O 165.00


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57.A race horse starts chasing a wild pony 2 hours after the pony bolts the stable. The pony runs throughthe entire county of Alberton: Texas jumping over three streams and crossing four 10 meter roads. Therace horse finally catches up with the pony after 5 hours by which time the sun had set and the moon wasup in the sky for 4 hours. If the average speed of the race horse is 84 kmph: then the average speed ofthe wild pomy is kmph.

O 61.00

O 60.00

O 33.60

O 24.00

58.Two blocks of Copper with density of 100Kg/m"3 are twisted into wires of length 100Km and thickness0.1 mm. Copper is a very ductile material. Its ductility is measured in terms of percentage elongation uponapplication of tensile forces. The conductivity of the copper wire is extremely high rendering it useful inthe construction of many electronic circuits. If the voltage through one such circuit is 14 V and the currentflowing in the circuit is 215 mA. What is the resistance of the wire?

O 3010.00

O 15.36

O 229.00

O .07

59.A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5meters: at 10 meters per minute. However, the toy train is defective and it now produces only twodifferent tunes at random. What are the odds that the toy train produces 5 consecutive music tunes of the

some type (1 in .) ?

O 25.00

O 5.00

O 32.00

O 16.00

60.The difference between the ages of two of my three grandchildren is 3. My eldest grandchild is threetimes older than the age of my youngest grandchild and my eldest grandchild's age is two years morethan the ages of my two youngest grandchildren added together. How old is my eldest grandchild?

O 12

O 10

O 15

O 13


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61.8 years ago, Andromeda's age was twice Achilles' age. 8 years hence. Andromeda's age will be 4/3times the age of Achilles'. Find Andromeda's present age in binary numbers.

O 10101

O 1001

O 1000

O 11000

62.A seamstress buys a certain amount of Gingham cloth which comes in rolls that are exactly 56 incheswide. She has also bought a certain length of Seersucker cloth which comes as individual pieces that areexactly a yard long and 35 inches wide. The seamstress first focuses on the Gingham roll and discoversthat she has 139 yards of Gingham: and she wants to divide the Gingham into 139 lengths of 1 yardeach. She wants to have twice as many pieces of Seeksucker as she does of the Gingham. It takes her Sseconds to cut each length of Gingham. Working non-stop: how long (in seconds) will it take her to cut all139 pieces?

O 1104.00

O 1111.00

O 1112.00

O 1113.00

63.The New York Public Library is one of the world's greatest repositories of books and journals. It has abeautiful reading room facing Manhattan's famous Fifth Avenue. lathe reading room are 10 reading spots.Each reading spot consists of a round table with 4 chairs placed around it. There are some readers suchthat in each occupied reading spot there are different numbers of readers. If in all there are 10 readers:how many reading spots are empty?

O 5

O 3

O 6

O 4

64.In China of the Tang dynasty unprecedented social chaos prevailed but yet there was a greatmathematician and court astronomer who reveled in numerical riddles. In his compilation of such puzzles:the total number of puzzles is equal to the product of the number of puzzles that are classified as easyand extremely difficult. Now: if 1/3 of a number is 6 more than 1/6 of the same number. What is thenumber in the binary system?

O 10101

O 110

O 100100

O 100101


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65.A farm in Chennai has around 200 trees each separated by about 20m. These trees are home tomany birds. There are 12 birds that weigh up to 15 g: 23 that weigh from 15 to 50 g: and 22 that weighgreater than 50 g. lathe month of June. around 2 hours after sunset: after all birds have returned to theirnests: a cunning fox finds its way into the farm. The fox takes a bird out of its nest at random. How manysparrows must the fox take out to make sure that it has two of each weight range?

O 47.00 O 31.00

O 35.00 O 33.00

66.One day Rapunzel meets Pal and Rat in the Disneyland. She knows that Pal lies on Mondays:Tuesdays and Wednesdays, and tells the truth on the other days of the week. Rat. on the other hand: lieson Thursdays, Fridays and Saturdays: but tells the truth on the other days of the week. Now they makethe following statements to Rapunzel - Pal: Yesterday was one of those days when I lie. Rat: Yesterdaywas one of those days when I lie too. What day is it?

O Thursday

O Sunday

O Tuesday

O Monday

67.A car manufacturer located 29 Km due west of chennai produces 250 carslour for export to Europe.However there is a problem in the paintshop and the lights have gone out. It seems that the cars can bepainted only red and blue and nobody has noticed this except you as the cars come out of the testingarea onto NH4: at random. What are the odds that 6 consecutive cars of the same colour will comethrough the test area at any one time(1 in ------------) ?

O 32.00

O 128.00

O 6.00

O 36.00

68.The great Indian mathematician Bhaskaracharya formulated this problem in the twelfth century for histeenaged prime number aged daughter Lilavati. He also authored the eponymous Lilavati, a compendiumof mathematical puzzles, in which the number of problems that use this formula is the sum of two primenumbers. The product of the two prime numbers is smaller than the total number of problems in theLilavati. Now if the difference of any two numbers is 6 and their product is 18. what is the sum of theirsquares?

O 72.00

O 54.00

O 42.00

O 44.00


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69.Archimedes is believed to have fallen asleep in his bathtub where he had interesting insights into theproperties of liquids. Archimedes Principle states that the buoyant force on a submerged object is equalto the weight of the liquid that is displaced by the object. If the density of the liquid is 10 kg,m^3 and thedensity of the object is 20kg,m.'3. What is the volume occupied by 522 kg of the liquid.

O 52.20 cc

O 5220.00 cc

O 52.20 cubic meter

O 5220.00 cubic meter

70.One day Snowwhite meets Pal and Unicorn in the Disneyland. She knows that Pal lies on Mondays,Tu.esdays and Wednesdays, and tells the truth on the other days of the week. Unicorn, on the otherhand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Nowthey make the following statements to Snowwhite - Pal: Yesterday was one of those days when I lie.Unicorn: Yesterday was one of those days when I lie too. What day is it?

O Monday

O Thursday

O Sunday

O Tuesday

71.The dynamics of crowd behaviour are hard to study because usually people are not reliable witnessesof their own behaviour. Now consider 4 people standing in the queue of a supermarket. You want topredict their behaviour based on their age group. You get to know from the supermarket records that theiraverage age, 2 years ago was 42 years. After a while, another person joins the queue and the presentaverage of all the 5 is 42 years. The present age of the last person in the queue is:

O 42.00

O 44.00

O 40.00

O 34.00

72.Peter is twice as old as Paul was when Peter was as old as Paul is naw The combined age of Peterand Paul is 35 years. How old is Peter now?

O 22.00

O 20.00

O 15.00

O 17.50


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73.Francois Pachet: a researcher at Sony Computer Science Laboratories who 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 livemusician in real-time. It listens to a musical phrase and then computes a complementary phrase with thesame playing style. If the cost of making the robot is divided between materials: labour and overheads inthe ratio of 4 : 6 : 2 If the materials cost S SO : the cost of the robot is

O 200.00

O 240.00

O 160.00

O 480.00

74.In the reading room of a library, there are 10 reading spots. Each reading spot consists of a roundtable with4 chairs placed around it There are some readers such that in each occupied reading spot thereare different numbers of readers. If in all there are 10 readers, how many reading spots do not have evena single reader?

O 3

O 4

O 6

O 5

75.There are three totem poles from Timbuktu in the Metropolitan Museu.m of Art. Totem poles aresymbolic objects carved beautifully from either Mahagony or African Redwood tree trunks not smallerthan 2 meters. Totem Pole Arun is taller than Jill: and Deepam is shorter than Arun. Which of thefollowing statements would be most accurate?

O Deepam is as tall as Jill

O Jill is shorter than Deepam

O Jill is taller than Deepam

O It's impossible to tell

76.The thankgiving banquet at Na. 2, Ritcher street: had 49 guests which consisted of 6 statesmen,26relatives and their families. At the end of a banquet 16 people shake hands with each other: some ofwhich were between the statesmen alone: some between relatives alone and some between thestatesmen and relatives. How many handshakes will there be in total?

O 120.00

O 240.00

O 128.00

O 112.50


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77.Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling over whogets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choosefrom sr-ell-shuffled set of cards numbered one to six. You check and find that this method works as itshould, simulating a fair throw of a die. You check by performing multiple simultaneous trials of pickingthe cards blindfold and throwing a die. You note that the number shown by the method of picking up acard and throwing a real world die, sums to a number between 2 and 12. Which total would be likely toappear more often - 8, 9 or 10?

O 8

O 10

O 9

O All are equally likely

78.Some animals show visible behavioral changes that are related to changes in the local weatherpatterns. A scientist, interested in the behaviour of bears, travels one mile due North from his researchlaboratory. Here he sees a bear and starts following it for one mile due east before he is able to radio-collar it. After tagging the bear: he walks one mile due South to return to his research station. What color

was the bear?

O Black

O Grey

O Brown

O White

79.Fill dirt or till soil is usually the sub-soil removed from an excavation site and is used to level a place orcreate artificial mounds. The average density is 2 gm cu cm of sub-soil removed from a site and if itweighs 900 kg, how many hemispherical pits each of volume 140 cubic cm: can this sub-soil fill?

O 3214.00

O 3213.00

O 3215.00

O 1607.00

80.A rope of given length is used to form a triangle of sides 22, 13 and 17 cms. If the same rope is usedto form a square: what would be the area of such a square?

O 300.44 sq.cm

O 13.00 sq.cm

O 169.00 sq.cm

O 95.06 sq.cm


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81.Company Alpha buys free-travel coupons from people who are awarded the coupons by Bravo Airlinesfor flying frequently on Bravo airplanes. The coupons are sold to people who pay less for the couponsthan they would pay by purchasing tickets from Bravo. This making of coupons results in lost revenue forBravo. To discourage the buying and selling of free-travel coupons, it would be best for Bravo Airlines torestrict the

O days that the coupons can be used to Monday through Friday

O number of coupons that a person can be awarded in a particular year

O use of the coupons to those who were awarded the coupons and members of their immediate families

O amount of time that the coupons can be used after they are issued

82.In a box of one dozen eggs, the ratio of broken eggs to unbroken eggs could be any of the followingEXCEPT

O 1:2

O 1:1

O 1:4

O 1:3

83.In how many ways can 4 letters be posted in 2 post boxes, if any number of letters can be posted in allof the two post boxes?

O 8

O 24

O 2P4

O 4C2

84.How many lines can be drawn so that each contains two points of a set of nine points, and no three ofthe points of the set are collinear?

O 36

O 48

O 72

O 54

85.The estimated completion time for the G4 Aptitude Test for Recruitment (G4 ATR) of 60 item test is 1hour.5 Vo of applicants actually took the test and completed it in 55 minutes. What is the differencebetween the actual and estimated rate of completion per item

O 10 seconds per item



O 5 minutes per item


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86.A Survey of India worker was taking the 2000 census in Behrampur district of Orissa. It was aWednesday in the second half of the year in the waxing moon phase right after a major national festival.In one of the villages the worker interviewed a toothless old lady sitting in front of a hut. The lady declaredMy granddaughter is about as many days as my daughter is weeks: and my granddaughter is as manymonths as I am years. The three of us together are 130 years. The surveyor quickly took out hercalculator and started punching in a few numbers to find the lady's age. Her calculator has a sevensegment LCD display but she was puzzled to see the number so she did the calculations agaiw. this timeassuming 30 days in a month and 365 days in a year. This time the results were correct. Can you tellwhat did the calculator display showed: if you made the same assumptions?

O 79.00 O 90.00 O 78.00 O 77.00

87.A gardener increased the length of his rectangle-shaped garden by increasing its length by 40% anddecreasing its width by 20%. The area of the new garden:

O has increased by 8%

O has decreased by 20%



88.If each photocopy of a manuscript costs 5 cents per page, what is the cost in cents to reproduce ycopies of a y-page manuscript?

O 5y

O 25y

O 5y"2.

O y^2

89.It takes 6 engineers 10 hours to build and program a new server from Direct Computer, with eachworking at the same rate. If six engineers start to build the server at 11:00 AM, and one engineer per houris added beginning at 5:00 PM, at what time will the server be complete?

O 7:00 PM

O 7:20 PM

O 6:40 PM

O 8:00 PM

90.The British mathematician Lewis CaroII also loved to make up fantastic stories in which he embeddeda number of clever puzzles and curious riddles. For example, his popular story, Alice in Wonderland, isabout a young girl called Alice who dreams of a strange world where she meets several unusualcharacters including the Red Queen and the March Hare. In our story, after 4 years of time, Paul will be 3times as old as Alice. Presently he is 6 times as old. How old is Paul now?

O 15.00 O 16.00

O 19.00 O 17.00


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91.In the year 2002.Britain is reported to have had 4.3m closed-circuit television (CCTV) cameras - onefor every 14 people in the country. This scrutiny is supposed to deter and detect crime. In one criminalcase, the police intrigue two suspects. The ratio between the ages of the two suspects is 6: 5 and thesum of their ages is 77 years. After how many years will the ratio be 8:7?

O 13.00 O 14.00 O 7.00 O 8.00

92.A collector wishes to frame an antique 4" by 6 " postcard. If he decides on a frame that protrudesexactly 1" in width along all sides of the postcard, then what is the total area in inches that will be coveredby the postcard and frame?

O 30

O 28

O 15

O 48

93.Alzheimer Disease is the leading cause of dementia, a set of symptoms that includes loss of memory,judgment and reasoning, and changes in mood and behavior. It is most common in elders but is notcaused by ageing. In studying the brains of Alzheimer and non-Alzheimer patients it has been found thatthose diagnosed with Alzheimers have less brain tissue compared to non-Alzheimer patients. The resultsshow a correlation between a decrease of brain tissues with an increase in abnormal protein deposits inthe brain. Therefore one hypothesis for the cause of Alzheimers is due to the abnormal protein deposits.Which of the following weakens the conclusion above?

O Autopsies of Alzheimer patients have shown that deterioration of intellectual faculties is oftenassociated with emotional disturbance and personality changes.

O The brains of Alzheimer patients have been found to produce an unusual substance whichdecomposes protein.

O People who are in their sixties are more likely to develop Alzheimers than any other age group.

O Laboratory research shows that when peopleage, their brain tissues degenerate.

94.1/2 of a number is 6 more than 1/6 of the same number. What is the number?

O 18.00

O 19.00

O 03.00

O 17.00


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95.Research reveals that high fiber content food is effective in preventing heart disease. Howeverconsumers are unable to take advantage of this finding as fiber content is usually not listed on theNutrition Information label on food packages. Therefore as a further precaution in preventing heartdisease, the government must regulate food industries to include the fiber content on the NutritionInformation label on food packages. Which of the following weakens the argument above?

O In addition to high fiber food, low fat food has also been proven to prevent heart disease.

O Having more high fiber food also lowers the risk of getting rectum cancer.

O Most consumers that buy packaged food do not pay attention to the Nutrition Information label on thepackages.

O High fiber foods normally have low content of protein.

96.In how many ways can 4 letters be posted in 2 post boxes, if any number of letters can be posted in allof the two post boxes?

O 4C2

O 8

O 2P4

O 24

97.You're going to get grounded for a week if you don't get at least 81% in your science class. So far youhave 246 of the total 300 points. The final test is worth 100 points. What is the minimum score you needto get on the final test? Assume the teacher rounds properly.

O 81

O 100

O 94

O 78

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