logical reasoning

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1 Marks: 1 The number of steps in the escalator, while it is stationary, is Choose one answer. a. 100 b. 150 c. 200 d. 300 2 Marks: 1 If 7/2 women wash 7/2 clothes using 7/2 soaps in 7/2 days, then how many women are required to wash 21 clothes using 21 soaps in 21 days? Choose one answer. a. 7/2 b. 7 c. 14 d. 21 3 Marks: 1 There are 80 balls which look identical. All the balls are of same weight except one which is heavier. In how many minimum weighing with a bean balance can you find the heavier ball? Choose one answer. a. 4 b. 5 c. 6 d. 7

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Page 1: Logical Reasoning

1Marks: 1

The number of steps in the escalator, while it is stationary, is

 

Choose one answer.a. 100

b. 150

c. 200

d. 300

2Marks: 1If 7/2 women wash 7/2 clothes using 7/2 soaps in 7/2 days, then how many women are required to wash 21 clothes using 21 soaps in 21 days?

Choose one answer.a. 7/2

b. 7

c. 14

d. 21

3Marks: 1There are 80 balls which look identical. All the balls are of same weight except one which is heavier. In how many minimum weighing with a bean balance can you find the heavier ball?

Choose one answer.a. 4

b. 5

c. 6

d. 7

4Marks: 1A, B, C, D, and E are five different integers such that A × B × C × D × E = 45. Then the value of A + B + C + D + E is

Page 2: Logical Reasoning

Choose one answer.a. 13

b. 11

c. 9

d. 5

5Marks: 1

Then S is T's

Choose one answer.a. son

b. daughter

c. grandchild

d. husband

6Marks: 1

 What is the number of friends in the group this year?

Choose one answer.a. 11

b. 12

c. 13

d. 23

7

Page 3: Logical Reasoning

Marks: 1

Who will win the race?

Choose one answer.a. First

b. Second

c. Third

d. It is a tie!

8Marks: 1

How many bearers does Burton need if he's to complete his march and the bearers are to re-turn safely?

Choose one answer.a. 5

b. 3

c. 4

d. 8

9Marks: 1

Page 4: Logical Reasoning

The animals given and received by Pigeon were, respectively,

Choose one answer.a. the pony and the cat

b. the turtle and the pony

c. the parrot and the turtle

d. the parrot and the cat

10Marks: 1

If Vincent buys 500 cigarettes from Maggio, how many cigarettes in total will he be able to smoke?

Choose one answer.a. 600

b. 620

c. 624

d. 625

11Marks: 1

Page 5: Logical Reasoning

How many minimum operations Kim will have to perform to measure 4 gallons of water?

Choose one answer.a. 4

b. 5

c. 6

d. 7

12Marks: 1

What is the minimum number of handshakes Raffiki will have to make?

Choose one answer.a. 8

b. 7

c. 6

d. 5

13Marks: 1

How long will it take for all the ants to fall off the scale?

Choose one answer.a. 1 s

b. 100 s

c. (2^100 + 1)/2 s

d. (2^100 - 1)/2 s

14Marks: 1

Page 6: Logical Reasoning

If you are allowed to choose a box, what is the minimum number of times that you will have to draw a hat from that box to correctly determine the contents of every box?

Choose one answer.a. 4

b. 3

c. 2

d. 1

15Marks: 1

King Solomon was looking at the portrait of

Choose one answer.a. his father

b. his brother

c. his son

d. himself

16Marks: 1

Who shot in the third place?

Choose one answer.a. Bhim

b. Arjun

c. Sahdev

d. Yudhisthir

Page 7: Logical Reasoning

17Marks: 1

How long did Tick Tick Roshan sleep?

Choose one answer.a. 5 hours 20 minutes

b. 2 hours 50 minutes

c. 12 hours 20 minutes

d. 14 hours

18Marks: 1

What was the correct time in the morning when Tick Tick looked at his watch?

Choose one answer.a. 12:00

b. 11:00

c. 10:00

d. 9:00

19Marks: 1(CAT 2004)

What can be the minimum possible number of families in the neighbourhood?

Choose one answer.

Page 9: Logical Reasoning

Choose one answer.a. I and II

b. II and III

c. I and III

d. III and IV

22Marks: 1

How many of the cards must be turned over to prove the validity of the statement ˜Every card with a vowel on one side has a prime number on the other side."?

Choose one answer.a. 3

b. 4

c. 5

d. 6

23Marks: 1

Which number is on the opposite side of number 7?

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Choose one answer.a. 12

b. 11

c. 10

d. 6

Page 10: Logical Reasoning

24Marks: 1

Which of the following cannot be the order in which Sarojini types them?

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Choose one answer.a. 24351

b. 13542

c. 45231

d. 23145

25Marks: 1

What is the minimum number of balls Jane needs to pick to ensure that she has at least 9 balls of the same color?

Choose one answer.a. 22

b. 44

c. 45

d. 48

26Marks: 1

Page 11: Logical Reasoning

How many athletes did Malaysia send?

Choose one answer.a. 4

b. 5

c. 6

d. 7

27Marks: 1The value of (5345568 × 5345570) + (5345570 × 5345573) - (5345569 × 5345572) - (5345568 × 5345572) is

Choose one answer.a. 6

b. 36

c. 256

d. 196

28Marks: 1(CAT 2005)

A chemical plant has four tanks (A, B, C, and D), each containing 1000 litres of a chemical. The chemical is being pumped from one tank to another as follows:

From A to B @ 20 litres/minute

From C to A @ 90 litres/minute

From A to D @ 10 litres/minute

From C to D @ 50 litres/minute

From B to C @ 100 litres/minute

From D to B @ 110 litres/minute

Which tank gets emptied first, and how long does it take (in minutes) to get empty after pump-ing starts?

Choose one answer.a. A, 16.66

b. C, 20

c. D, 20

d. D, 25

29Marks: 1(CAT 2005- 2 Marker)

Page 12: Logical Reasoning

Three Englishmen and three Frenchmen work for the same company. Each of them knows a se-cret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows Eng-lish, and only one Englishman knows French. What is the minimum number of phone calls needed for the above purpose?

Choose one answer.a. 5

b. 10

c. 9

d. 15

30Marks: 1(CAT 005- 2 Marker)

A telecom service provider engages male and female operators for answering 1000 calls per day. A male operator can handle 40 calls per day whereas a female operator can handle 50 calls per day. The male and the female operators get a fixed wage of Rs. 250 and Rs. 300 per day respectively. In addition, a male operator gets Rs. 15 per call he answers and a female op-erator gets Rs. 10 per call she answers. To minimize the total cost, how many male operators should the service provider employ assuming he has to employ more than 7 of the 12 female operators available for the job?

Choose one answer.a. 15

b. 14

c. 12

d. 10

31Marks: 1

Should TG marry the girl?

Choose one answer.a. yes the girl is at an acceptable age

b. no the girl is old enough to be TG's mom

c. no the girl is young enough to be TG's daughter

d. yes the girl and TG are of the same age

Page 13: Logical Reasoning

32Marks: 1

For how long had Patku rested?

Choose one answer.a. 3 hr

b. 4 hr

c. 6 hr

d. 8 hr

33Marks: 1

By how many points did TG's ranking drop?

Choose one answer.a. 1

b. 2

c. 3

d. 4

34Marks: 1(CAT 2003)

Page 14: Logical Reasoning

If E sits in his office and faces the corridor, whose office is to his left?

Choose one answer.a. A

b. B

c. C

d. D

35Marks: 1(CAT 2003)

Whose office faces A's office?

Choose one answer.a. B

b. C

c. D

d. E

36Marks: 1(CAT 2003)

Page 15: Logical Reasoning

Who is/are F's neighbour(s)?

Choose one answer.a. A only

b. A and D

c. C only

d. B and C

37Marks: 1(CAT 2003)

D was heard telling someone to go further down the corridor to the last office on the right. To whose room was he trying to direct that person?

Choose one answer.a. A

b. B

c. C

d. F

38Marks: 1

Page 16: Logical Reasoning

Twenty rings are similar in size and appearance, but some are made of iron and the rest are made of titanium, which is heavier than iron. Using a pan balance, how many minimum weighings do we need to find out which rings are made of iron?

Choose one answer.a. 10

b. 11

c. 20

d. 15

39Marks: 1

Six hundred students are made to stand in 20 by 30 rectangle, forming 20 similar rows of 30 students each. From each of the 30 columns the shortest student is selected, and the tallest of these 30 students is titled A. The students go back to stand in their original places. Next, the tallest student in each row is selected, and from these 20 students the shortest is titled B. Then

Choose one answer.a. A is taller than B

b. B is taller than A

c. A and B are of the same height

d. A and B are always the same person

40Marks: 1

Two blacksmiths together collected and sold a certain number of rings they had made. For each ring they received as many Rupees as the total number of rings possessed by them originally. After selling all the rings, the total money earned was divided in the following manner. First, the senior blacksmith took ten Rupees, and then the junior blacksmith took ten Rupees, after which the senior blacksmith took ten Rupees, and so on. At the end, the junior blacksmith, whose turn it was, found that there were fewer than ten Rupees left, so he took what was left. To make up for the deficit, the senior blacksmith gave a pen to the junior blacksmith. What was the pen worth?

Choose one answer.a. 4

b. 5

c. 6

d. 9

41Marks: 1

Shalini is preparing a surprise present for his parents. Inside a large box, she keeps 15 smaller boxes of the same size. Each of these smaller boxes, she either leaves it empty or fills it with 15 more boxes of the same size. One of these smallest boxes con-tains the surprise present for her parents. If there are seven boxes in all that have boxes inside them, how many boxes in total are empty?Choose one answer.

Page 17: Logical Reasoning

a. 98

b. 99

c. 113

d. 84

42Marks: 1

(CAT 2001)At a village mela, the following six nautankis (plays) are scheduled as shown in the ta-ble below.

You wish to see all the six nautankis. Further, you wish to ensure that you get a lunch break from 12:30 p.m. to 1:30 p.m. Which of the following ways can you do this?

Choose one answer.a. Sati-Savitri is viewed first; Sundar Kand is viewed third and Jhansi ki Rani is viewed last.

b. Sati-Savitri is viewed last; Veer Abhimanyu is viewed third and Reshma aur Shera is viewed first.

c. Sati-Savitri is viewed first; Sundar Kand is viewed third and Joru ka Ghulam is viewed fourth.

d. Veer Abhimanyu is viewed third; Reshma aur Shera is viewed fourth and Jhansi ki Rani is viewed fifth.

43Marks: 1(CAT 2001)

Mrs. Ranga has three children and has difficulty remembering their ages and the months of their birth. The clues below may help her remember.

· The boy, who was born in June, is 7 years old.

· One of the children is 4 years old, but it is not Anshuman.

· Vaibhav is older than Suprita.

· One of the children was born in September, but it was not Vaibhav.

· Suprita's birthday is in April.

· The youngest child is only 2 years old.

Based on the above clues, which one of the following statements is true?

Page 18: Logical Reasoning

Choose one answer.a. Vaibhav is the oldest, followed by Anshuman who was born in September, and the youngest is Suprita who was born in April.

b. Anshuman is the oldest being born in June, followed by Suprita who is 4 years old, and the youngest is Vaibhav who is 2 years old.

c. Vaibhav is the oldest being 7 years old, followed by Suprita who was born in April, and the youngest is Anshuman who was born in September.

d. Suprita is the oldest who was born in April, followed by Vaibhav who was born in June, and Anshuman who was born in September.

44Marks: 1(CAT 2001)

The Bannerjees, the Sharmas, and the Pattabhiramans each have a tradition of eating Sunday lunch as a family. Each family serves a special meal at a certain time of day. Each family has a particular set of chinaware used only for this meal. Use the clues below to answer the following question.

· The Sharma family eats at noon.

· The family that serves fried brinjal uses blue chinaware.

· The Bannerjee family eats at 2 o clock.

· The family that serves sambar does not use red chinaware.

· The family that eats at 1 o clock serves fried brinjal.

· The Pattabhiraman family does not use white chinaware.

· The family that eats last likes makkai-ki-roti.

Which one of the following statements is true?

Choose one answer.a. The Bannerjees eat makkai-ki-roti at 2 o’clock, the Sharmas eat fried brinjal at 12 o’clock and the Pattabhiramans eat sambar from red chinaware.

b. The Sharmas eat sambar served in white chinaware, the Pattabhiramans eat fried brin-jal at 1 o’clock, and the Bannerjees eat makkai-ki-roti served in blue chinaware.

c. The Sharmas eat sambar at noon, the Pattabhiramans eat fried brinjal served in blue chinaware, and the Bannerjees eat makkai-ki-roti served in red chinaware.

d. The Bannerjees eat makkai-ki-roti served in white chinaware, the Sharmas eat fried brinjal at 12 o’clock and the Pattabhiramans eat sambar from red chinaware.

45Marks: 1(CAT 2001)While Balbir had his back turned, a dog ran into his butcher shop, snatched a piece of meat off the counter and ran out. Balbir was mad when he realised what had happened. He asked three other shopkeepers, who had seen the dog, to describe it. The shopkeep-

Page 19: Logical Reasoning

ers really didn't want to help Balbir. So each of them made a statement which contained one truth and one lie.

· Shopkeeper Number 1 said: The dog had black hair and a long tail.

· Shopkeeper Number 2 said: The dog had a short tail and wore a collar.

· Shopkeeper Number 3 said: The dog had white hair and no collar.

Based on the above statements, which of the following could be a correct description?

Choose one answer.a. The dog had white hair, short tail and no collar.

b. The dog had white hair, long tail and a collar.

c. The dog had black hair, long tail and a collar.

d. The dog had black hair, long tail and no collar.

46Marks: 1Ganpat, the gambler, always bets half of the money remaining with him at any point of time. He bets on Donkey-race 10 times in a row, winning 5 times and losing 5 times, in any order. Whenever Ganpat wins a bet, the money he has bet is doubled and whenever he loses a bet, the money that he has bet is gone. After the results of all the 10 races have been declared, the money that Ganpat is left with is

Choose one answer.a. less than the amount he started with

b. more than the amount he started with

c. equal to the amount he started with

d. undeterminable until the order of wins and losses is known

47Marks: 1In a party thrown at MamboJambo embassy, there are 9 boys, 5 Indian children, 9 men, 7 for-eign boys, 14 Indians, 6 Indian males, and 7 foreign females. How many people are there in the party?

Choose one answer.a. 30

b. 33

c. 28

d. 29

48Marks: 1

Assume that the trains between TGland and Dhobighaat leave each city every hour on the hour. It takes exactly six hours for the trains to travel from one city to another. On its run from TGland to Dhobighaat, a train will meet N trains going in the opposite di-rection. What is the value of N?

Page 20: Logical Reasoning

Choose one answer.a. 6

b. 7

c. 11

d. 13

49Marks: 14ABCDEFG8H is a ten-digit code such that sum of any three consecutive digits is equal to 19. What is the value of the digit D?

Answer:

50Marks: 1In a donkey race, a donkeys finish behind Dhondu, who finishes b places ahead of Bhondu. If there are c donkeys ahead of Bhondu, how many donkeys are there in the race?

Choose one answer.

51Marks: 1Vinay, Ravi and Rajesh are great friends. They meet once a week at their favorite restaurant for lunch. Each guy eats Dosa or Idli during the meal. If Vinay eats Dosa, then Ravi eats the dish that Rajesh eats. If Ravi eats Dosa, then Vinay eats the dish that Rajesh does not eat. If Rajesh eats Idli, then Vinay eats the dish that Ravi eats. Which person eats the same dish always and which dish does he eat?Choose one answer.

a. Vinay, Idli

b. Ravi, Idli

c. Rajesh, Dosa

d. Ravi, Dosa

52Marks: 1A woman, her brother, her son and her daugher are chess players (all relations by birth). The worst player's twin (who is one of the four players) and the best player are of opposite sex. The worst player and the best player are the same age. Who is the worst player?

Choose one answer.a. The son

b. The brother

c. The daughter

d. The mother

e. cannot be determined

53

Page 21: Logical Reasoning

Marks: 1

You are in a completely dark room with two tables. One of the tables (call it A) has a large number of coins lying on it, exactly 100 of which are showing heads. The second table (call it B) has nothing on it. As you cannot see, you can perform only two opera-tions: you can shift a coin from A to B without flipping the coin over OR you can you can shift a coin from A to B after flipping it over. How many minimum operations you need to perform in order to ensure that there are equal numbers of heads on both the tables?

Choose one answer.a. 25

b. 50

c. 100

d. not possible

54Marks: 1A certain number of towns are connected through 21 roads in all, one road connecting exactly two towns. Six of the towns are connected through exactly 3 roads whereas rest of the towns are connected through exactly 4 roads. The total number of towns is..

Choose one answer.a. 12

b. 15

c. 18

d. 20

55Marks: 1

In the addition shown above A, E and R represent distinct digits. Find A + E + R

Choose one answer.a. 15

b. 16

c. 17

d. 18

56Marks: 1Three TGites, Sri KLR, Gullz Golu and Fundoo Bond are reporting their mock CAT scores to TG.

Sri KLR: If I cleared the cutoffs in Quant, then so did Gullz. I cleared the cutoffs in Verbal if and only if Fundoo Bond did. Each of us cleared cutoffs in at least one section.Gullz Golu: If cleared the cutoffs in Quant, then so did Sri KLR. Sri KLR did not cleared the cut-offs in DI. The cutoffs in each section was cleared by at least one of us.

Page 22: Logical Reasoning

Fundoo Bond: Either Sri KLR cleared the cutoffs in DI or I didn't. If Gullz did not pass Verbal then neither did Sri. I did not clear as many sections as Sri or Gullz.

In which section did all three clear the cutoffs?

Choose one answer.a. Quant

b. Verbal

c. DI

d. More than one section

57Marks: 1When asked the time of the day, a problem-posing professor answered, "If you add one-eighth of the time from noon until now to one-quarter the time from now until noon tomorrow, you get the time exactly." What time was it?

Choose one answer.a. 5: 08: 32

b. 5: 20

c. 5: 03

d. 5: 45

58Marks: 1

A contractor had employed 100 laborers for a flyover construction task. He did not al-low any woman to work without her husband. Also, at least half the men working came with their wives. He paid five rupees per day to each man, four rupees to each woman and one rupee to each child. He gave out 200 rupees every evening. How many men, women and children were working with the constructor?

Choose one answer.a. 16, 12, 72

b. 13, 16, 71

c. 10, 20, 70

d. 7, 24, 69

59Marks: 1TG's great grandfather had many children. His oldest son was a twin. All his children were twins except for 41 of them. All his children were triplets except for 41 of them. And to make matter worse, all his children were quadruplets except for 41 of them. How many children did TG's great grandfather have? (You cannot count quadruplets as triplets etc.)

Choose one answer.a. 53

b. 82

Page 23: Logical Reasoning

c. 58

d. 85

60Marks: 1On a sheet of paper statements numbered 1 to 20 are written. If statement numbered n says "exactly n of the written statements are false," how many statement(s) written on the sheet are true?

Choose one answer.a. 0

b. 1

c. 10

d. 19

61Marks: 1On a sheet of paper statements numbered 1 to 20 are written. If statement numbered n says "at least n of the written statements are false," how many statement(s) written on the sheet are true?Choose one answer.

a. 0

b. 1

c. 19

d. 10

62Marks: 1

Pico Fermi Bagels is a math/logic game commonly taught to schoolchild-ren to help them develop deductive reasoning skills. Player One thinks of a number with each digit different, and records it on a hidden piece of paper. Player Two must now guess at what the number is. Player One must answer each guess with a combination of three responses:

Here is a sequence showing the numbers guessed by player one (about a four-digit number guessed by player 2) and the response (in Pico, Fermi and bagels) given by player 1:

Page 24: Logical Reasoning

How many numbers are possible from the above the observation?1

Choose one answer.a. 1

b. 2

c. 3

d. cannot be determined

63Marks: 1

A is allowed to select any date of the year other than December 31st. B may then select any date later in the same month or the same day of any later month. For example, if A selects June 16th, then B may choose any later date in June or the 16th of any month from July through Decem-ber. Using the same rule with regard to the date that B has selected, A must select a new date, and so on. The winner is the player who arrives at December 31st. If A has to start by selecting a date in January, which date must he select in order to win?

Choose one answer.a. January 1

b. January 31st

c. January 20th

d. January 15th

e. January 30th

64Marks: 1

An athletic competition takes place between members of the three races- truthfuls, who always tell the truth, liars, who always tell a lie, and alter-nators, who tell truth and lie alternately. After the competition, the com-petitors, one from each race made the following statements:

Anjali- I came in second; Bhagat came in last.

Bhagat- Anjali came in last. Chetan won.

Page 25: Logical Reasoning

Chetan- I came in last. Anjali won.

Then the order of finish, from first to last, was

Choose one answer.a. Anjali, Bhagat, Chetan

b. Anjali, Chetan, Bhagat

c. Bhagat, Anjali, Chetan

d. Chetan, Anjali, Bhagat

e. Bhagat, Chetan, Anjali

65Marks: 1

In order to prevent tampering by unauthorized individuals, a row of switches at a defense installation is wired so that, unless the following rules are followed in manipulating the switches, an alarm will be acti-vated:

· The switch on the right may be turned on or off at will.

· Any other switch may be turned on or off only if the switch to its imme-diate right is on and all other switches to its right are off.

If turning a switch on or off is counted as a move, what is the smallest number of moves in which a row of four switches, which are all on, may be turned off without activating the alarm?

Choose one answer.a. 7

b. 8

c. 9

d. 10

e. 11

66Marks: 1

The zero point of a weighing scale is set incorrectly, but otherwise the scale works fine. It shows 70 kg when Joseph stands, 60 kg when Asha stands on it, but 115 kg when both Joseph and Asha stand on it. If the scale shows 45 kg when Peter stands on it, what is the weight of Peter?Answer:

67Marks: 1

At a classic car auction, 30 buyers were present. Ten buyers bought fewer than 6 cars. Eight buyers bought more than 7 cars. Five buyers

Page 26: Logical Reasoning

bought more than 8 cars. One buyer bought more than 9 cars. How many buyers bought more than 5 but less than 10 cars?Choose one answer.

a. 10

b. 13

c. 15

d. 17

e. 19

68Marks: 1

(CAT 2008)Five horses, Red, White, Grey, Black and Spotted participated in a race. As per the rules of the race, the persons betting on the winning horse get four times the bet amount and those betting on the horse that came in second get thrice the bet amount. Moreover, the bet amount is returned to those betting on the horse that came in third, and the rest lose the bet amount. Raju bets Rs. 3000, Rs. 2000 and Rs. 1000 on Red, White and Black horses respectively and ends up with no profit and no loss. Which of the following cannot be true?Choose one answer.

a. At least two horses finished before Spotted

b. Red finished last

c. There were three horses between Black and Spotted

d. There were three horses between White and Red

e. Grey came in second

69Marks: 1

(CAT 2008)Five horses, Red, White, Grey, Black and Spotted participated in a race. As per the rules of the race, the persons betting on the winning horse get four times the bet amount and those betting on the horse that came in second get thrice the bet amount. Moreover, the bet amount is returned to those betting on the horse that came in third, and the rest lose the bet amount. Raju bets Rs. 3000, Rs. 2000 and Rs. 1000 on Red, White and Black horses respectively and ends up with no profit and no loss. Sup-pose, in addition, it is known that Grey came in fourth. Then which of the following cannot be true?Choose one answer.

a. Spotted came in first

b. Red finished last

c. White came in second

d. Black came in second

e. There was one horse between Black and White