### CAT Sample Paper | CAT Sample Test Paper | CAT Paper

**Directions for questions 1 to 4:** Each question below consists of a pair of capitalized words, followed by 4 pairs of words. Select the pair, which best expresses the relationship similar to that expressed in the capitalized pair.

1. KNIFE : LACERATION

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medicine : germs calcium : bones bacteria : illness Fire : explosion

2. STANZA : CHAPTER

poetry : prose art : fiction clause : sentence novelty : narration

3. SCULPTOR : CLAY

doctor : patient mechanic : car chemist : discovery artist : paint

4. TACIT : SILENT

object : oblate isometric : monometric vacillate : waver vulpine : supine

5. CATERPILLAR : BUTTERFLY

star : moon river : sea tadpole : frog bee : flower

6. ELONGATE : ABBREVIATE

change : return pull : strike duplicate : alter stretch : shrink

7. NECKLACE : BEAD

bouquet : flower door : handle room : window cutlery : forks

8. ALLEVIATE : AGGRAVATE

joke : worry pain : disease plastic : rigid medicine : doctor

9. PLAY : PLAYWRIGHT

bus : conductor baby : mother symphony : composer student : teacher

10.PLIABLE : BEND

**irreducible : **reduce cemetery : death hydro : water fragile : crack Directions for questions 11 to 14: Given below are a set of letters with numbers followed by four choices of letters to make a word. Choose the correct order of letters as indicated by numbers to make a word.

11. W H A L T E

1 2 3 4 5 6

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154236 126345 163452 163425

12. P Y L O T U R

1 2 3 4 5 6 7

1463527 1463725 1463572 1465372

13. D O B M I R

1 2 3 4 5 6

154326 426351 654132 426315

14. S M U L C E

1 2 3 4 5 6

651324 123546 231546 231654

**Directions for questions 15 to 20: **In the each of the following sentences, four words or phrases have been underlined. You should choose the one word or phrase which would not be appropriate in standard written English. If the sentence has no error, mark(5)

15. A variety of pleasing objects of art are displayed in her study.

1 2 3 4

16. The sum and the substance of the matter were that your summary is unfounded.

1 2 3 4

17. She is one of those few people who know everything in this matter.

1 2 3 4

18. This is one of those films which has caused the recent controversy.

1 2 3 4

19. Having failed once, it is unfortunate to note that no further attempt was made.

1 2 3 4

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20. The mill was locked-out since 15 th June, 1999 .

1 2 3 4

Directions for questions 21 to 25: Select the word nearly similar in meaning to the capitalized word.

21. INFRA

above below right left

22. DOWDY

corpulent rakish elegant unstylish

23. LISSOME

dainty supple thin lazy

24. ERGO

if therefore early before

25. IMMURE

ripen shut in exempt betray

**Directions for questions 26 to 31:** Select the word nearly opposite in meaning to the capitalized word.

26. SIMULATED

false real hard heavy

27. PROLIX

brief tall bitter stringent

28. SUPERNAL

earthly ghostly official bold

29. PERTINACIOUS

gentle crude rough slight

30. MORIBUND

growing declining swaying dying

**Directions for questions 31 to 38: **Each question below contains six statements followed by four sets of combinations of three. Choose the set in which statements are logically related.

31. A. Suhas is a teacher.

B. Sheetal is Suhas’ wife.

C. Some wives are intelligent.

D. No teacher is intelligent.

E. Sheetal is not intelligent.

F. Suhas is not intelligent.

BCE ABE CDE ADF

32. A. Hard work and intelligence lead to success.

B. Success is the obsession of our time.

C. Obsession can be many, success being one.

D. Hardwork is essential for success.

E. Intelligence is essential for success.

F. No unsuccessful person lacks hard work and intelligence. BCF CDA ADE DEF 33. A. Ram and Gopal are both cowboys.

B. Cowboys are known to dislike one another.

C. Ram and Gopal do not dislike each other.

D. All those who dislike one another are cowboys.

E. Ram and Gopal dislike each other.

F. Ram and Gopal cannot both be cowboys.

ACF BCD CDF ABE

34. A. All P who say yes mean no.

B. All P never say no.

C. All P never tell the truth.

D. All P who say no mean no

E. All P always mean no.

F. All P never say yes.

ADF ADE ABD ACE

35. A. No decent person is corrupt.

B. All corrupt people are decent.

C. No corrupt person is decent.

D. All politicians are decent.

E. All politicians are corrupt.

F. Corruption is everywhere.

EBD EDA ABC ACD

36. A. All those good at Maths are good at Stats.

B. Many of those who are good at Stats are bad at Maths.

C. Shyam is good at Maths.

D. Shyam is good at Stats.

E. Sunder is good at Stats.

F. Sunder is bad at Stats.

ACD EBF ABD ECA

37. A. Many tennis players are not good hockey players.

B. All hockey players are good tennis players.

C. Boris is a good hockey player.

D. Pele is a good tennis player.

E. Pele is a good hockey player.

F. Boris is a good tennis player.

ADE BCF ACE ACF

38. A. No clerk is a thinker.

B. Some clerks are not smart.

C. Some clerks are smart.

D. No clerk is smart.

E. Some thinkers are clerks.

F. No clerk is smart.

BDE ADF CDF ACD

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**Directions for questions 39 to 44: **From among the given alternatives choose the one that best completes the meaning of the sentence.

39. The rabbit _______ a few shreds from the lettuce leaf but was clearly not hungry. chewed gobbled gnawed nibbled

40. In most of the pre-election speeches a lot of importance was given to the country’s _______ situation.economic industrious commercial economical

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41. His P.A. was amazingly efficient, as near______ as a human being can be. unmistakable infallible meticulous incorrigible

42. She was a kindly old woman with a lively intelligence and her many ______ remarks were enjoyed by the company. laughable facetious witty malicious

43. She goes to College by bicycle as the local bus service is far from_____. reliable assured certain dependent

44. It is not possible to ______ the full value of her contribution to female education. underrate appreciate assess esteem

**Directions for questions 45 to 50: **Each of the following sentences/groups contain two expressions of which only one is correct. Choose the correct one.

45. Order four cups of coffee. Order for four cups of coffee.

46. Picked up a quarrel. picked a quarrel.

47. I had no pencil to write with. I had no pencil to write.

48. Sign the document. Sign on the document.

49. Congratulate him for his success. Congratulate him on his success.

50. Your ignorance does not admit of any excuse. Your ignorance does not admit any excuse.

**Directions for questions 51-100: choose the correct alternative**

51. A man 2.8 meters tall casts a shadow 2.4 metres long and at the same time a building to him casts a shadow 10.8 meters long. What is the height of the building?

12.6 m 14.5 m 16 m 20 m

52. If 40 men can build a wall 224 metres long in 12 days what length of wall can be built by 50men in 6 days

140 m 120 m 160 m 200 m

53. If 34 men can dig a ditch 52 m long in 36 days working 16 hours a day, how many more men should be engaged to dig a similar ditch 78 m long in 12 days, each man now working 18 hours a day.

102 200 35 78

54. Two balls have their radii in the ratio 2:6 what is the ratio of their volumes ?

1:27 2:30 1:3 2:1

55. The parameters of x and y of an object are such that x = 18 / 286y 2 Two such similar objects of different sizes have their parameter y in the ratio 4:6 what is the ratio of the parameters x

9:4 8:3 2:3 3:1

56. X earns 25% more than y by how much percent is y’s income less than that of x

20% 30% 25% 5%

57. In an exam , 40% are the passing marks. If a student gets 20marks and fails by 10 marks, what are the maximum marks.

75 100 150 25

58. In an election one of the 2 candidates gets 42% of the total votes and still loses by 368 votes. What is the total no. of votes

2300 2500 1200 1400

59. Rice is now being sold at Rs. 30 kg. Last month its rate was Rs. 26 Kg. By how much % should a family reduce its consumption so as to keep the expenditure fixed

13.33 % 15% 20% 12%

60. A batsman increases his average by 4 runs when he makes 126 runs in his 12th innings. What is his average after 12 innings.

82 85 75 80

61. If a and b are integer and Ö ab = 9 which of the following cannot be the value of a+b

82 30 25 18

62. Tap A can fill a tank in 4 hours Because of a leak it took 5 hours to fill the tank. In how much time, the leak can drain all the water of the tank.

20 25 22 23

63. In what proportion should water be added to a liquid costing Rs.20 per liter so as to make a profit of 20% by selling the mixture at Rs. 15.

3 : 5 1 : 2 2 : 3 3 : 5

64. If I sell a dog for Rs.650 and a cat for Rs. 300. I gain 20% on the original cost of both but if I sell the dog for Rs.675 and the cat for its original price I lose 20%. The original cost of the cat is

280 275 300 325

65. Manoj buys 100 articles on which he has to pay Rs. 20 as carriage. The

articles were marked for sale at Rs.10. He sells 80 of them at this price and the

remaining after allowing a discount of 10% on the marked price. At the end he

finds that he has made a profit of 30% on his outlay. Find the amount he pays for

each article

8.22 5.65 7.33 6

66. At a party, first the ratio of boys to girls was 5 to 4. If 20 boys left the ratio

became 1 : 1, how many people were there originally at the party.

220 200 180 150

67. There are 4 picture nails and 6 different pictures. In how many different ways

can pictures be hung on all nails.

100 360 450 500

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68. Ashok marks his goods such that he can reduce 10% for cash and yet make 20% profit what is the marked price of an article which costs Rs.120

160 180 200 150

69. In a game of cricket P’s runs are to Q’s runs & Q’s runs are to R’s runs as 4:5. The score 300 runs altogether. How many runs are scored by Q’s

130 100 150 120

70. In an examination 10% candidates fail in English, 15% in History and 5% in both. If 2000 candidates pass in both the subjects, Find the total number of candidates appearing in the examination.

2500 3000 4000 3500

71. An employee reduces the number of employees in the ratio of 7 : 5 and increase the wages in the ratio 10 : 11. Find the difference in the amount of the wage bill, if the earlier bill was Rs. 960

206 208 210 212

72.The average speed of a bus including stoppages was 25 kms/hr and excluding stoppages was 30 kms/hr. How many minutes did the bus stop per hour.

33 10 32 31

73. Two pipes x and y can fill a cistern is 15 and 20 minutes respectively both pipes being opened, when should the first pipe be turned off so that the cistern may be just filled in 10 minutes

8.3 minutes 9 minutes 8 minutes 7.5 minutes

74. Supposing a clock pendulum takes 8 seconds to strike 8 how long will the same clock take to strike 11

12 sec. 11 sec. 11.42 sec 10 sec.

75. A rainy day occurs once in every 15 days. Half of the rainy days produce rainbows what % of all the days have not rainbows.

15% 50% 95% 96.6%

76. A bag contains 5 blue marbles, 5 green marbles and 3 red marbles. The marbles are removed one by one in a dark room. What % of marble must be removed to insure that at least two of each color have been taken out.

95% 90% 92.3% 86.6%

77. By selling 100 Bhajiyas the seller gains the selling price of 20 Bhajiyas. The gain of the seller is

25% 30% 35% 40%

78. At what rate % S.I on Rs.2000 produce the same interest in 5 years as Rs.3000 for 4 years at 5% p.a

7% 6.75% 6.5% 6%

79. Complete the given series –2 , – 16, -54, -128

-250 -300 –260 -150

80. A professor was to demonstrate an experiment to 10 student. If she can show the experiment to only 4 student at a time in how many ways can she make the group for the experiment

210 220 320 240

81. 26 swans and 18 parrots were bought for Rs.2583.70. If the average price of a swan is Rs.148, what is the average price of a pigeon ?

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Rs.70.24 Rs.85.53 Rs.80 Rs.75

82. The average weight of a group of 20 men is increased by 3 kg when one of the men of weight 136 kg is replaced by a new man what is the weight of the new man ?

196 kg 200 kg 85 kg 155 kg.

83. 60 cows were purchased for Rs.2400. The average cost of 24 cows out of them is Rs. 500 find the average cost of the remaining cows. Rs.333.33 Rs.533.33 Rs.650 Rs.700

84. The average daily temperature from 9th January to 16th January (both days

inclusive) was 38.6° and that from the 10th to 17th (both days inclusive) was 39.2°

. The temperature on the 9th was 34.6° . What was the temperature on 17th Jan ?

39.4° 60° 35° 36.3°

85. The average salary per head of the entire staff of an office including the officers & clerk is Rs.180. The average salary of the officers is Rs.1200 and that of clerks is RS.168. If the no. of officers is 24, find no. of clerks in the office. 2040 1020 1120 25

86. Visitors to a show were charged Rs. 30 each on the 1st day Rs.15 on the second, Rs.5 on the 3rd and the total attendance on 3 days were in the ratio 4 : 10 : 26 respectively. Find the average charges per person for the whole show.

Rs.10 Rs.20 Rs.15 Rs.30

87. A mixture of 140 litres of wine and water contains 20% of the water. How much water must be added to make water 74% of the resulting mixture?

291 358 561 356

88. A man rows with the stream at the rate of 28 km/h and against the stream at 18 km/h. What is the speed of the boat in still water and the speed of the stream 23 km/h & 5 km/h 26 km/h & 2 km/h 6 km/h & 12 km/h None of these

89. A man can row at 9 km/h in still water. It takes him twice as long to row up as to row down the river. What is the rate of the stream 3 km/h 6 km/h 5 km/h 4 km/h

90. A man rows at the rate of 10 km/h in still water. If the river runs at the rate of 3 km/h, it takes him 1 hour to row to a place and lack. What is the distance 4.55 km 5365 km 2.30 km 10 km

91. In a Km.race, p beats T by 70 meters or 14 seconds. What is P’s time over the course 3 min & 6 sec. 4 min & 5 sec. 2 min 1 min

92. A sells a book at a profit of 40% had he bought it at 40% less and sold it for

Rs. 10 less, he would have gained 50% what is the C.P of the book.

Rs.20 Rs.50 Rs.30 Rs.25

93. The value of a machine depreciates @ 20% after every year. What was its purchase price if at the end of the 3 years its value is Rs. 17496.

Rs. 1,36,687.50 Rs.1,50,000 Rs.1,23,453.50 None of these.

94. A purchases Rs.50 shares in a company which pays 9% dividend. The money invested by the person is that much as gives 10% on investment. At what price did he buy the shares ?

Rs. 45 Rs.50 Rs.20 Rs.35

95. A can do a piece of work in 24 days and b alone can do it in 30days. What time will they take to complete the job if they work together.

40/3 days 20/7 days 26/3 days 45 days

96. Ashok Began business with Rs.7500. After 6 month Bharat joined him with a certain capital. At the end of the tear the profit were divided in the ratio of Rs. 2:3.How much did B invest.

Rs. 22500 Rs. 20000 Rs.6000 Rs. 6500

97. 100 gallons of a mixture of alcohol and spirit contain 25% spirit. How much spirit must be added to it to make the spirit 30% of the new mixture ?

4.5 gallons 5.6 gallons 7.1 gallons 8.3 gallons

98. Complete the series 58, 29, 64, 32, 94, ___

47 48 60 50

99. X can do piece of work in 8 days y in 10days and Z in 12 days. Y & Z do it for 4 days and then Z is replaced by x fine when the works will be finished ?

4.2 days 6 days 2.8 more days 3 days

**100. **If x= 5 and y=25, find y when x=30, where y varies directly as x

150 200 250 350

**Directions for questions 101 to 130**

**Each question is followed by 2 statements**

Mark (1) if statement I alone is sufficient but statement II alone is not sufficient

Mark (2) if statement II alone is sufficient but statement I alone is not sufficient

Mark (3) if both statements I & II together are sufficient but neither statements alone is sufficient

Mark (4) if each statement alone is sufficient

Mark (5) if statement I &II together are not sufficient. 101. What is the area of the rectangle. I. Its length is 5 ft. II.Its width is 3 ft.

1 2 3 4 5

102. What is the numerical value of x 2

I. x + y = 5

II. x = 2

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**103.**What is the perimeter of the rectangle. I. Its area is 20 II. Its length is 5

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**104.** What is the shortest distance from x to z. I. The shortest distance from x to y is 5 II. The shortest distance from y to z is 3.

1 2 3 4 5

**105.** x, y, and Z lie in a straight line ( y comes between x and z) . what is the length of xz.

I. xy = 2

II. yz = 5.

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**106. **What is the numerical value of a

I. A 2 = 9

II. a 3 = 27

1 2 3 4 5

**107.** a = 4b, what is the numerical value of b

I. b = a / 4

II. a + b = 25

1 2 3 4 5

**108. **A is the elder brother of B. B is 25 years old. What is the age of A.

I. The difference between the ages of A & B is 10.

II. A is older than B.

1 2 3 4 5

**109.** PQRS is a square. What is the length of PQ.

I. LP = 90 0

II. The area of PQRS = 4.9

1 2 3 4 5

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**110.** X / Y = 2 / 3 What is the numerical value of y

I. x = 10

II. 3x / 4y = 2 / 5.

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**111.** a and b are (+)ve integers. ( a + b )2 = 36. What is the value of b

I. a = 5

II. a + b = 6

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**112. **Is P positive

I. p + q = 0

II. q is negative.

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**113.** What is the numerical value of a + b

I. a = 2

II. b + c = 5

1 2 3 4 5

114. What is the value of x + 3y

I. 6x + 8y = 10 10x –

II. 2y = 18

1 2 3 4 5

115. x + y is odd . Is x even

I. y is even

II. x + y is not greater than 10.

1 2 3 4 5

116. p, q, r and s are consecutive integers. Is s even

I. p, q ,r, is odd

II. pqrs is even

1 2 3 4 5

117. a and b are odd numbers. Is ab divisible by c

I. a > b

II. B c is an even no.

1 2 3 4 5

**118. **Is b odd

I. a + b is odd

II. a is not odd.

1 2 3 4 5

**119. **All Capitals in a country are ports. Is Bombay a capital

I. Bombay has 4 towns

II.Bombay is a port.

1 2 3 4 5

120.Laloo is the tallest boy in the class. Who is the tallest student in the class

I. Dimple is the tallest girl in the class.

II. Laloo is shorter than 2 girls in the class.

1 2 3 4 5

121. Is K to the north of L

I. M and N are to the north of L

II. Q and L are to the south of K

1 2 3 4 5

122. 100 people were invited for the function . How many attended.

I.Not more than 40 failed to respond to the invitation.

II. Not less than 60 attended.

1 2 3 4 5

123.What is the value of the positive integer a

I.The least common multiple of a and 24 is 48.

II. The greatest common divisor of a and 24 is 4.

1 2 3 4 5

124. a and b are 2 (+)ve consecutive odd integers in increasing order. What is the value of a

I. (a – b) 2 = 16

II. ( a + b ) 2 < 36
1 2 3 4 5
125. What is the price of apples ?
I. I can buy 5 apples & 6 oranges for Rs 20.
II. Rs 15 can buy 2 apples & 5 oranges with 10 % discount.
1 2 3 4 5
126. What would be the ratio of mother’s age and daughter’s age 3 years from now.
I. The ratio of mother’s age and daughter’s age now is 3 : 1 and would be 4 : 2 ten years later
II. The sum of their ages is 75 & the ratio of their ages was 5 : 2 , y years back.
1 2 3 4 5
127. What is the sales of Wheat A. The total sales of wheat A & B is 6000.
I. when sales of wheat A is increased, that of wheat B decreases.
II. The sales of wheat A is twice that of B.
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128. What is the selling price of the radio.
I. The ratio of S.P. to cost is 0.75
II. The radio is sold at a loss of f10% of cost.
1 2 3 4 5
129. What is the value of x
I. 2x + 3y = 20
II. 6x + 2y = 15
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130. The total capacity of production for type 1 T.V. & type 2 T.V. is 10, 500 units. Using a total of 60 ton of raw material for production of 100th types of T.V. & operating at full capacity
what is the production of type 1 if, I. rate of consumption of materials for type 1 is 5 kg/T.V. II. rate of consumption of materials for type 2 is 10 kg/T.V.
1 2 3 4 5
**Directions for question 131 to 155:** Refer to the data given to answer the given questions The following is the financial result of a company in (Rs.Lacs)

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very good work by Ravi.

Where can we get solution to this paper.