CAT Exam Paper IV Time:120 minutes

No. of questions:185

Directions for questions 1 to 5

Refer to the data given below and answer the questions

Estimated Hardware market revenue

1.Which of the markets is expected to show maximum compounded annual growth rate from 1997-2000

1] Key Board 2] Mouse 3] CPU 4] Printer

2. How much business will the Keyboards contribute (in %) over the four years?

12% 15% 32% 36%

3. In which year did the Mouse record the highest % growth

1999 2000 1998 Cannot be determined

4. How much business will be generated by printer and CPU in % terms over the next four years?

10% 23% 42.27% 46.56%

5. What is the % revenue contributed by Keyboards in 1998 over the total revenue

34.78% 35.45% 23% 10%

Directions for questions 6 to 10

The figure below shows the composition of the students specializing in Arts Science and Commerce in two Colleges A and B

6. The following can be inferred from above

1.The number of students preferring Arts is less

2.Majority of the students take up Science

3.Arts is unpopular in college

1 only 1 & 2 2 only 1 2 & 3

7. The total strength of college A is greater than B by

60 students 20 students 40 students 50 students

8. If there are two Teachers for Science in College B and 3 Teachers for Science in College A

by 16% in College A

Same in both Colleges

By 20% in College B

By 20% in College A

9. The proportion of Students in Arts is

Same in both colleges

Greater in college B

Greater in college A

None of the above

10. The ratio of proportion of Commerce Students in College A to that of College B is

70 : 50 13 : 19 91 : 95 95 : 91

Directions for questions 11 to 14: Each questions below consists of a pair of capitalized words followed by four pairs of words. Select the pair which best expresses the relationship similar to that expressed in the capitalized word.

11. PERFUME : FRAGRANT

dessert :dry Chocolate: sweet ice-cream : icy cheese : colorful

12.Blood : body

ink: pen water : river syrup: juice satellite : communications

13. BASIC : THIRD

direct : organize secondary :basic first : foremost primary : tertiary

14. PUNY : MAMMOTH

huge : untidy beautiful : large compact : clumsy mite : leviathan

Directions for questions 15 to 20: Each of the sentences below has one blank space. Choose the alternative which when inserted in the sentence, best fits in with the meaning of the sentence as a whole.

15. If you want to lose weight, you should avoid eating _______ foods such as bread and potatoes.

fatty starchy greasy sugary

16. If you want this chickoo tree, to bear good fruit next year, you will have_____ it.

to pare to nip to whittle to trim

17. She lost her temper and ______ her teeth in rage.

ground chomped rasped rattled

18. If you don’t want your bicycle to be stolen, you should put _____ on it.

a handcuff a fetter a latch a padlock

19. I have it on very good ______ that Mr.kantilal will be joining in October.

reference authority information inference

20. After searching for an hour, the girl found her ring in the _______ by the lilac bushes.

underground underworld undergrowth underneath

Directions for question 21 to 23: From among the given alternatives, choose the option that does not belong to the group.

21. explain tell recount recant

22. pluck spirit spic spunk

23. tame insipid dull domestic

Directions for questions 24 to 28: Given below are four words, three of which are similar in meaning. Select the word which is not similar in meaning to the other three words in the group.

24. undertaking activity trip enterprise

25. attach staple basis essence

26. contempt derision aversion ridicule

27. earlier archaic antiquated obsolete

28. assembly cluster collate clique

Directions for questions 29 to 34: Read the following information and answer the questions that follow.

Disha is younger than Farida and older than Geeta. Anju is younger than Isha and older than Charlie. Isha is younger than Geeta and older than Jugal. Jugal is younger than Charli and older than Emraan. Farida is younger than Beena and older than Heena. Heena is older than Disha.

29. Who is the youngest?

Anju Charlie Jugal Emraan

30. Who precedes Charlie, Jugal and Emraan in age?

Isha Geeta Anju Disha

31. Who is the oldest?

Anju Charlie Beena Geeta

32. Who is next in age to Beena, Farida,Disha,Heena and Geeta?

Isha Charlie Emraan Anju

33. Who is the second oldest?

Charlie Farida Heena Jugal

34. Who is the second youngest?

Heena Jugal Anju Isha

Directions for questions 35 to 40: Each question consists of a capitalized word followed by four words or phrases. Choose the word/phrase which is farthest in meaning to the capitalized word.

35. CLAM

mollusc vise quiet close-mouthed

36. CLAIM

demand gist state assert

37. STRAIGHT

difficulties undeviating unbroken upright

38. LOP

swim join drown cut

39. SWITCH

rod tip of a tail shift click

40 .SORRY

moody contrite worthless grievous

Directions for questions 41 to 50: The sentences below are divided into four parts. Select the part which has an error.

41. A few invitees made short speeches appropriate for the function

42. The audience was perceptively thinner after the break on the first show.

43. We prefer going by bus to travel by auto.

44. Preoccupied by financial difficulties as she was, she neglected her business.

45. The lawyers are now in the possession of the documents.

46. The reason for the delay is because we have had difficulty in obtaining stock.

47. He assured us that they would do his best to find out the cause for the delay.

48. The child was left in charge of an elderly lady.

49. More than one artists has contributed to the completion of this project.

50. I shall certainly go and meet him in case I pass through Mumbai.

Directions for questions 51 to 60 : From the following sentences, choose one underlined word or phrase which would not be appropriate in written English. If the sentence has no error, mark(5).

51. The chief with all his followers has been arrested.

1 2 3 4 5

52. Many a clever pupils have lost interest in studies for the lack of facilities.

1 2 3 4 5

53.When I met her, she had no house to live.

1 2 3 4 5

54.He should learn to avoid these kind of mistakes.

1 2 3 4 5

55. She is enough smart to go through your articles.

1 2 3 4 5

56. What is the time by her watch?

1 2 3 4 5

57. In a second, the naughty monkey climbed up the tree.

1 2 3 4 5

58. Also present at the meeting was Mr.Sharma, Mr.Patil and Mrs.Dasan.

1 2 3 4 5

59. She isn’t as beautiful now as she was 8 years before.

1 2 3 4 5

60. The news of her resignation was not broadcasted on the radio.

1 2 3 4 5

Directions for questions 61 to 65: In each of the following sentences one word or phrase is missing. Choose the best among the four alternatives.

61. The old women could not remember where she ______ her money.

deposited depositing had deposited will deposit

62. The ______ topics of the chapter are lengthy and boring.

first four four first first two

63. She promised that she ______ the instrument by the second week of the September

will repair should have repaired would have repaired would repair

64. She says she knows stitching, but I don’t think she ______.

knew can had known does

65. They haven’t left already;_____

they have? haven’t they have they? did they?.

Directions for questions 66 to 70 : Fill in the blanks with appropriate prepositions

66. She was not pleased ______ him.

with by on at

67. She is very different ______ her mother.

than from at on

68. Many employees complain ______ their low salaries.

of about to with

69. His work consists ______ dealing with people.

in of with on

70.Can you translate this letter _____ Marathi.

in into of upon

Directions for questions 71 to 95

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.

71. What is the value of b ? ‘a’ and ‘b’ are real numbers.

I. 2a + 3b = 9

II b=27-6a/9

1 2 3 4 5

72. What is the fourth consecutive even number in a given series of even real numbers ?

I. The sum of the first two numbers is 28.

II. The sum of last two numbers is 38

1 2 3 4 5

73. Which of the integers a, b, c, d, are even numbers ?

I. p, q, r, s, t are consecutive integers

II. r is an odd integer.

1 2 3 4 5

74. In the 5 term series 4, A, B, C, 16 ; what is the value of C, all numbers being real ?

I. The third term is twice the first term.

II. The fourth term twice the second term.

1 2 3 4 5

75. A, B, C, are negative integers and t is a number. Is X positive ?

I. X = A – B

II. XC = A

1 2 3 4 5

76. What is the area of parallelogram PQRS ?

I. QR = RN

II. PMRN is a rectangle of area 28.

1 2 3 4 5

77. If b > 1, is P > Q ? P , Q being positive numbers.

I. P = (b – 1 ) ( b 2 + b + 1 ) and Q = ( b + 1 ) ( b 2 – b + 1)

II. P = a. Q

1 2 3 4 5

78. a, b, c, d, and e are in arithmetic progression. Is d positive ?

I. e > 0

II.a, b are negative.

1 2 3 4 5

79. Is Q – 5 even ? P is a real number.

I. Q – 20 is an integer.

II.Q – 10 is an odd integer.

1 2 3 4 5

80. Is A less than B ? A and B real numbers.

I. A2=36

II.B = 16

1 2 3 4 5

81. The value of an estate in January 1905 started gradually declining in such a way that at the end of each year it was worth only 5/6th of its value at the beginning of the year. What was its worth in end December 1910 ?

I. It was worth Rs. 12000 in beginning January 1905.

II. It was worth Rs. 10000 in end December 1906.

1 2 3 4 5

82. What is the perimeter of rhombus ABCD ?

I Area of ABCD is 140 m 2

II. Diagonal BD is 48 metres.

1 2 3 4 5

83. What is the sum of 12 terms in a given series of real numbers ?

I . The n th term is n (5n +2 )

II. 11th term of series is 1160022.

1 2 3 4 5

84. In a general election, 3 candidates A, B, and C were representing a membership of parliament How many votes did each receive ?

I. A received 1006 votes more than B and 1213 more votes than C

II. Total votes cast were 15414.

1 2 3 4 5

85. If n is an integer, is n/2 an even integer ?

I. X is a multiple of 2.

II. X is a multiple of 4.

1 2 3 4 5

86.Is PQRS a rectangle

a. l (PQ) = l (QR) + 3

b. Perimeter ( II PQRS) = 4 * l (PQ)

1 2 3 4 5

87. What is the distance between P Q of which both lie on a straight line

a. The distance between P R is 6 cm.

b. The distance between Q R is 2 cm.

1 2 3 4 5

88. Is Roger over 30 years of age

a. The average age of 20 employees in his office is 36.

b. Roger is among the oldest 3 employees in his office in which the retirement age is 58.

1 2 3 4 5

89. What % of the total population are women voters ?

a. 50 % of all women are voters.

b. 36 % of the total population are women.

1 2 3 4 5

90. Is Q an integer

a. P + Q is an integer

b. Q = P

1 2 3 4 5

91. What is the value of 4x + y

a. 3 x + y = 15

b. x is 2 times y

1 2 3 4 5

92. What is the length of PQ in triangle PQR

a. PR is 6 is perpendicular to RQ

b. QR is 10.

1 2 3 4 5

93. Is Q = R

a. q 2 = r 2

b. q 3 = r 3

1 2 3 4 5

94. A rectangular paper is rolled into a tube. What is the volume of this tube

a. The length & width of this paper are 20 cm 14 cm respectively.

b. The height of the tube is 20 cm.

1 2 3 4 5

95. Is Y divisible by 60?

a. Y is divisible by 30

b. 4Y is not divisible by 20

1 2 3 4 5

Directions for questions 96 to 99: Each question below has a main statement followed by two arguments. Strong argument must be both important and directly related to the main statement. Weak argument may not be directly related or may be related to trivial aspects of the main statement and may be of minor importance.

Mark[1], if only A is a strong argument.

Mark[2], if only B is a strong argument.

Mark[3], if, both are strong arguments.

Mark[4], if both are weak arguments.

96. When defects go unspotted until the end of a process it is too late to fix them.

A. Yes : By the end of the process, the defects have been incorporated.

B. No : There are processes that are not irreversible – the defects may be eliminated at the end.

1 2 3 4

97. It is perfectly absurd: 39 people don their new sneakers, pack their flight bags and poison themselves in the solemn belief that a passing UFO will whisk them of f to wonderland.

A. Yes : It is indeed ludicrous as no UFO theory has ever been verified by documentation.

B. No : The solemnity of the situation is borne but by the tragic deaths of the participants.

1 2 3 4

98. Moralists are so rigid – they always ignore the reality of a situation and insist on applying dated morals to it.

A. Yes : They fail to understand that human emotions, and therefore the situations they engender, are too complex to be judged by a fixed moral code.

B. No : There are certain values and principles that guide human behavior – without them, society would become impossible to live in.

1 2 3 4

99. To remain competitive, an organization must ensure that it always focuses on product quality.

A. Yes : In the absence of a good product, all other efforts of an organization to become successful would be useless.

B. No : Product quality is not the most important thing in an Organization’s success.

1 2 3 4

Directions for questions 100 to 102 : Each question has a main statement followed by two conclusions.

Mark[1], if only conclusion I follows.

Mark[2], if only conclusion II follows.

Mark[3], if both conclusions follow.

Mark[4], if neither conclusion follow.

100. In a country that likes to sneer at Anglo-Saxon capitalism, the upheaval in French Banking is shocking.

I. The upheaval in French Banking is about Anglo-Saxon Capitalism.

II The upheaval in French Banking is related to a situation where contempt for Anglo-Saxon capitalism and its implications, is missing.

1 2 3 4

101. Although advertising once put a gloss on everything, the darker side of life is what now peoples’ attention.

I. Today advertising has moved to emphasizing the darker side of life.

II Earlier, people were more interested in the glossy side of life.

1 2 3 4

102. Men are torn between joy in parenting and social conditioning that makes the task grueling.

I. Social conditioning does not teach men that parenting is enjoyable.

II Joy in parenting is independent of social conditioning.

1 2 3 4

Directions for questions 103 to 107: Each questions is based on a passage or set of conditions. In answering some of the questions, it is best to draw a rough diagram. For each question, select the best answer choice given.

In a study of five brands of painkillers A, B, C, D and E , the brands were tested and ranked against each on the basis of effectiveness per dose. The following results were obtained.

I] A was more effective than B.

II] The effectiveness of C was less than that of D.

III] E was the least effective brand tested.

IV] B and C were equally effective.

V] The effectiveness of D was greater than that of B.

103. If the above statements are true, which of the following must also be true?

A and D were equally effective.

A was the most effective.

D was the most effective.

C was less effective than A.

104. All of the information in the results given above can be derived from which of the following groups of statements?

Statement I,II,III Statement I,III,IV Statement II,III,IV Statement I,II, III, IV

105. If the sixth brand J, is tested and found to be more effective than D, then which of the following must be true if the findings of the study are correct?

J is most effective of all six brands tested.

At least four of the six brands tested are less effective than J.

J is more effective than A.

J is less effective than A.

No more than four of the six brands tested are more effective than E.

106. If C is more expensive per dose than A, and E is less expensive per dose than C, which of the following must be true, according to the study, for a consumer, who whishes to buy a pain reliever with the greatest effectiveness for the amount spent per dose?

A should be purchased instead of C.

A should be purchase instead of E.

E should be purchased instead of C.

B should be purchased instead of C if B is the same price as D.

107. If B contains the same amount of an ingredient Y, as D does, and more of that ingredient than E does, which of the following is consistent with the results of the study?

C does not contain Y, and brands of pain reliever in which Y is absent do not have any measurable effectiveness.

The absence of Y in C would account for C’s being more effective than E, B and D.

E does not contain Y and brands of pain reliever in which Y is about do not have any measurable effectiveness.

The presence of Y is partly responsible for the effectiveness of E, B and D in relieving pain.

Directions for questions 108 to 111: Each question is followed by two statements marked I and II providing certain information.

Mark(1) if statement I alone is needed to answer the question.

Mark(2) if statement II alone is needed to answer the question.

Mark(3) if both statements I and II are needed to answer the question.

Mark(4) if statements I and II are not sufficient to answer the question.

108. Why do thieves, pursued by police dogs, take to water as soon as possible?

I. Dogs are able to swim in water.

II. Dogs lose their ability to follow a scent, when in water.

1 2 3 4

109. Did Robert live to see the nineteenth century?

I. Robert was born in 1702.

II. When Robert died, he was the only centenarian of his times.

1 2 3 4

110. Why was the person released after the trial?

I. The judges found no incriminating evidence against the person.

II. A person is innocent unless proved guilty.

1 2 3 4

111. Is man’s visual system closest to that of tree climbing animals?

I. The eyes of most tree creatures face forward in the head so that their owners can look at a point with both eyes at once.

II. The eyes of tree climbing animals are equipped with aiming and focussing mechanisms for bringing the images of the two eyes together so that the picture is three dimensional and in sharp outline.

1 2 3 4

Directions for questions 112 to 115: Arrange sentences A,B,C,and D so as to form a logical sequence between 1 and 6.

112. 1] Cosmetics have a long and composite history.

A. Shining colors have also been used in the west in modern times.

B. The eye make-up of ancient Indians contained hydrosilicate of copper – a protection against the sun’s glare.

C. Their facial jewels were also decorative and applied with great care.

D. The tribes of New Zealand covered their entire face in bright green, white, and Blue stripes.

6] But the most recent trend has been to produce an artificially ‘natural’ look.

ADBC ABDC BCDA BDAC

113. 1] As the infant begins to grow, it begins to add hostile signs to its repertoire.

A. Before long, temper tantrums put in an appearance.

B. These begin simply as rejection movements – a turning away of the head.

C. Finally, direct threats make an appearance; and the small child reaches the stage of powerful self-assertion.

D. This creates a new relationship between the infant and the genitor.

6] Now, an element of training creeps in.

BADC CABD CBDA BACD

114. 1] Before 1940, there were more men than women in U.S.

A. Since 1940, the sex ratio has shifted, not only with immigration changes, and cut in maternal mortality, but also because American women now outlast men by a bigger margin than ever.

B. This was mainly because immigration was weighted towards men, and because of the high mortality rate of women in childbirth.

C. Their wives survive to inherit the earth.

D. After 40, anxiety diseases hit men harder.

6] As one irritable comment has it, the U.S. is becoming a society ruled by aging females.

BADC CABD ABDC ABCD

115. 1] At 10 weeks, babies usually use both hands with equal vigor.

A. The pendulum does not cease to swing then.

B. When the infant reaches the age of 1.5 years, the right hand takes over again, but between 2 and 2.5 years, bilateral activity begins again.

C. By 14 weeks, they mostly favor the left hand while making contact.

D. At 28 weeks, they are again bilateral.

6] Stability begins, at last, around the age of 3 years, and grows in strength until, finally, at the age of 7 years, the child is fixed in its permanent condition, with one hand strongly dominant over the other.

CDAB BACD CABD BDAC

Directions for questions 116 to 120: Each question or group of questions is based on a passage or set of conditions. For each question, select the best answer choice given.

In a certain word game, an acceptable sequence of 5 words is one that meets all of the following rules.

I] The 5 words in a sequence must be written down side by side on a single line.

II] Each word must have at least 5 letters, and of the letters in a word, no more than two can be vowels.

III] Words cannot begin with any of the following letters : i, p and x.

IV] The five words must be in alphabetical order from left to right with the added requirement that the initial letters of the 5 words must come immediately after each other in the alphabet.

116. Which of the following is an acceptable sequence of words for the game?

Aster, bread, dog, establish, farmer

Jester, kettle, label, mental, mental, nerves

Nearer, opens, plate, quite, rowed

Plastic, quay, rooster, trailer, zephyr

117. If the middle word in a sequence is ‘fish’, then the initial letter of the first word and the initial letter of the last word of that sequence, respectively, must be

a,e b,g c,a d,h

118. The last word in a sequence cannot begin with

w o s u

119. The first word in a sequence cannot begin with

a d j u

120. Each of the following can be the last word in a sequence except?

entry Horror Market Other

121. The distance between the points (3, -4) and (3, 3) is

7 Units 5 Units 6 Units 8 Units

122. The coordinates of a point which divide the join of A (5, 5) and (8, 5) in the ratio 2 : 1 are

(5, 6) (7, 5) (8,4) (9, 6)

123. XYZ is an equilateral triangle with vertices X (6, -2), Y (2, – 1) and Z (4, -2). If ZA is one of its medians find the length of the median.

sqrt6 Units sqrt5 Units sqrt13 Units sqrt10 Units

124. The ratio in which the line segment joining P (3. –4) and Q(6, 7) is divided by x axis is

5 : 2 3 : 4 2 : 3 4 : 7

125. P ( – 4, b ) and Q ( 2, b + 2 ) are 2 points and the coordinates of the middle point of PQ are ( – 2, 2) . The value of b is

1 3 -2 -1

126. The slope of the line Joining A (-4. 6) and B (5, 3) is

2/5 -1/3 2/3 1/3

127. The points of intersection of the circle x2 +y2 = 34 and line y = 5

(2, 4 ) ( -2, 4) (3, 6) (-3, 6) (3, 5) (3, -5) (2, 3) (-2, 3)

128. Complete the series 25, 125, 36, 216, 49, ____

200 290 335 343

129.The value of a machine depreciates at the rate @ 15% per annum. If the price of a new machine is Rs. 60,000 its value after 2 years will be

Rs. 43350 Rs.45000 Rs. 52570 Rs. 51750

130. 80% of p = 40% of Q and Q = X % P . Then the value of x is

360 200 300 250

131.The population of a town increase by 10% every year. If it is 16093 row, its population 2 year ago was

13300 14200 14750 15265

132. If A:B is 2:3 and B:C is 3:4 then A:C is equal to

2:3 6:7 5:6 1:2

133. If the numerator of a fraction is increased by 15 % and the denominator is increased by 10% , then the value of the fraction is 15/26, The original fraction is

130/223 158/229 133/462 165/299

134. X varies directly as Y varies and Z varies inversely as Y varies . At a time Y = 10, X = 20 , Z

= 5 , If y is changed to 20 then the values of Z is :

2.5 5 10 3

135. If a Box containing 10 mirrors is dropped which of the following can not be the ratio of broken mirrors to unbroken mirrors.

1 : 1 2 : 3 3 : 2 3 : 4

136. 5 (P ‘s Capital ) = 10 (Q’s Capital ) = 15 ( R’s Capital ) then the ratio of their capital is :

6 : 3 : 2 2 : 7 : 9 8 : 5 : 3 2 : 3 : 1

137. The difference between a discount of 50 % on Rs. 500 and two successive discounts of 45 % and 5% on the same amount is

Rs 15 Rs 11.25 Rs 10 None of These

138. A man rows upstream 10 Km. And downstream 20 Km taking 4 hrs each time. The velocity of the current is

2 Km/h 2.5 Km/h 1.25 Km/h 1. 5 Km/h

139.A boat goes 50 Km upstream in 10 hours and a distance of 40 Km. Down stream is 9 hours. The speed of the boat in standing water is

4.9 Km/h 5.2 Km/h 4.5 Km/h 4.72 Km/h

140. A man can swim 4 Km/h in still water . If the velocity of the stream be 3 km/h the time taken by him to swim to a place 14 Km upstream and back is:

16 Hours 12 Hours 14 Hours 10 Hours

xyz is rotated about x y as axis. Find the volume of the solid generated if

xy = 6 cm and yz = 10 cm. x y z is a right angled

200 300 250 60

142. I shopped in 4 shops 1 after another. In the end I had no money. In each shop I

Spent Rs 2 more than 20% of what I had when I entered each shop. How much

did I have in the beginning .

87.81 82.35 80.30 85.65

143. A rides 5 km at 1 km/h, 4 km at 2 km/h and 12 km at 6 km/h. What is his Average speed .

2.33 kmphr. 4.33 kmphr. 3.33 kmphr. 1.33 amp hr.

144. Within a square ground with one side 20 m , there is a square path that is 4 m in breadth. What is the area of the park without the path.

144 m2 400 m2 16 m2 Not determined.

145. If ( p – q) 2 = ( x – y ) 2, then x =

p – q + y y – p + q Both ( a) and (b) None of these

146. Rs. 13400 are invested at SI for 7 years partly at 6 % interest and partly at 4 % interest. If both sums yield equal interest , find the sum invested at 6 %.

Rs. 5360 Rs. 3000 Rs. 4000 Rs. 2800

147. B reaches 10 ,minutes early travelling at 6 km per hour, whereas A reaches 10 minutes late travelling at 5 km per hour. Find the distance.

10 Km 12 Km 17 Km 20 Km

148. Fi nd the next term in the series 123, 129, 141, 147, ____________

171 162 159 148

149. A 2 digit number is divisible by 6 and not by 12. When the digits are interchanged the number

is also divisible by 12. The absolute value of the difference between the numbers is

18 12 24 36

150. A Farmer notices that the area of his farm in sq. mts is equal to 2 times the square of the number of tractors he owns. If one tractor is stolen he has to sell 62 sq. mts of the farm. So as to maintain the relationship. Find the number of tractors remaining.

14 15 16 17

151. How many numbers greater than a million can be formed using digits 0,6 ,6, 7 , 0, 0 , 6,

and 7 ?

410 420 360 800

152. At exactly midnight, a thief tries to steal a car from a garage. 2 full minutes are gone before the guard arrives at the scene and starts running after the burglar. At 12 : 05 :00, the burglar panics and slips. By the time he gets up, 10 seconds are gone and the guard has caught up with him . Had he not fallen, the thief would have reached a safe hideout which was at a distance of 3560 m from the museum at 12 : 05 : 56 hours. What was the running speed of the security guard ?

15.07 m / sec 0.6 km / min 12 m / sec 15 m / sec

153. X and Y enter into a partnership by investing certain capital in the ratio of 1 : 3. However, after 4 months, X alone starts managing the business and Y pays him Rs. 10,000 per month. How much profit should they make so that at the end of the year, when the profit is divided, the net incomes of both are the same for the year ?

Rs. 40,000 Rs.320,000 Rs 400, 000 Rs . 200, 000

154. Complete the series 1, 3, 4, 13, 53, ____

690 670 65 35

155. There are 5 people – A, B, C, D, E, standing in a queue. How many ways are available to form the queue such that D is not ahead of E ?

60 120 125 80

156. 5 men can do a certain task working 10 hours a day in 1 day that requires 4 Women 2 days working 8 hours a day and 5 boys 4 days working 5 hours a day. If a contractor hires 20 men, 9 Women, and 10 boys to complete together 1000 such tasks, starting on 1st March, 2000, when will the entire work get over ?

2 nd July 29 th June 30 th June 4 th August

157. X’s Salary is 150% of Y’s salary. Z’s salary is 75 % of Y’s salary. The total of all three salaries is Rs. 325,000. How Much is Y’s Salary ?

Rs. 100,000 Rs. 25, 0000 Rs. 24, 000 Rs. 28, 000

158. If Santa can walk a certain distance in 200 days when he rests 18 hours each day; how long will it take to walk twice the distance twice as fast and the rest half as long each day ?

80 days 40 days 100 days 50 days

159. An automobile has two punctured tyres. The first puncture by itself would make the tyre flat in 10 minutes. The second puncture by itself would make the tyre flat in 5 minutes. How long would it take for both punctures together to make the remaining tyre flat ?

2 1/3 minutes 4 minutes 5 minutes 15 minutes

160. a * b = a – b, if both ‘a ‘ and ‘ b ‘ are positive.

= 1 otherwise

a @ b = ab, if ‘ ab ‘ is positive.

= 0 otherwise

based on the data given above solve the question given below

[ 4 * ( – 5 ) ] @ [ ( – 2 ) * 2 ] /[ (- 4 ) @ (- 5 )] * [ 2 @ 2 ]

1/16 1/4 1/8 0

161. The square root of (11 + 2 sqrt(30) ) is

sqrt5 + sqrt6 sqrt 5 +sqrt3 sqrt 10 + sqrt3 sqrt 6 + 1

162. An army chief wishing to draw his 17164 men in the form of a solid square found that he had 3 men more. The number of men is the last row was.

152 131 134 140

163. What is the ratio whose terms differ by 50 and the measure of which is 3 / 5

80 95 60 75

164. A bag contains Rs 300 in the form of 1 rupee, 50 paise and 25 paise coins in the ration 3 : 2 : 4 The number of 25 paise coins in the bag are

240 300 360 180

165. Rs. 11250 are divided among Jay , Ajay & Vijay so that Jay may receive one fourth as much as Ajay and Vijay together receive and Ajay one half of what Jay & Vijay together receive . What is Jay’s share.

Rs 6500 Rs 5250 Rs 2250 Rs 3750

166. X, Y, Z, enter into a partnership. X invests some money at the beginning y, invests 4 times

The amount after 8 months and Z invests 3 times the amount after 10 months. If the annual profit be Rs. 8500 then Z’s share is

1525 1875 2000 1500

167. By selling 75 toys a shopkeeper gains the selling price of 25 toys. Find his gain percent.

20% 25% 50% 75%

168. P & Q enter into a partnership P invests Rs 8000 for 6 months and Q remains in the

Business for 3 months. Out of the total profit Q claims ½ of the profit. What was Q’s contribution

Rs 5750 Rs 15525 Rs 8000 Rs 16000

169. Successive discounts of 25% and 15% are equivalent to a single discount of

42.75% 40% 36.25% 35%

170.If 4 cars are sold at the cost price of 6 cars the profit % will be

50% 33 1/3% 16.67% 32%

Read carefully the passages given below and answer the questions that follow.

The hotel functions as a cultural centre and we were taken to a horse race in an alpine Khampa village. With us was a Swiss Tibetan who took us to visit a handsome house of mud, stone and colorful lintels. We entered a courtyard full of full of slush and yak manure and climbed the wooden stairs to the cavernous rooms upstairs. Mao’s visage on the obligatory calendar smiled down on us through the smoke as we sat sipping yak butter tea around a huge stove, but pictures of Dalai Lama are also seen placed discreetly behind other objects. The Sumetseleng is now being rebuilt and can have upto 800 monks. Many of them have returned from India. Out of nostalgia perhaps they encouraged the jade shop outside to play loud Hindi music.

Questions;

171. This is probably a piece from a

Crime nove l History book Travelogue Romance

172. Which of the following is false

The author is alone before meeting the Swiss Tibetan

The author has tea at a house

The author went for a race

None of the above.

173. By “Mao’s visage” , the author is referring to ,

A person named Mao Mao’s picture Mao’s age None of the above

174. The house which the author visits has

Pictures of Mao and Dalai Lama

A picture of Mao only

A picture of Dalai Lama only

Pictures of neither

175. The Sumetseleng monastery can has monks

who have returned from India

Who play loud Hindi music.

Have a jade shop

None of the above

Directions for questions 176 to 181: Each of the following questions consists of 2 capitalized words which have a certain relationship to each other, followed by four numbered pairs of words. Choose the numbered pair which are related to each other in the same way as the words of the capitalized pair.

176. Business : profits

Employer : production Officer : work Labour : wages Teacher : tution

177. Star : constellation

farmer : cooperative worker : labourer soldier : army member : library

178. Asleep : awake

somniloquist : orator discussion : debate mumble : speak dreamer : leader

179. Starved : famished

water : drought salt : stone desiccated : anhydrous umbrage : scold

180. Famous : notorious

tall : stout worm : elephant effete : strong emaciated : lean

181. Thesaurus : synonyms

recipe : eatables volume : books encyclopaedia : words anthology : poems

Directions for questions 182 to 185: Select the word nearly similar in meaning to the capitalized word.

182. GAFFE

passion enthusiasm total ignorance bloomer

183. ASKEW

dim and dull turned to one side difficult ugly

184. FILLIP

complete stimulus large dose neglect

185. RAFFISH

made of fish vulgar ludicrous urbane

———————————————————————————————

CAT Exam Paper IX Time:120 minutes

Directions for questions 1 to 45: choose the correct alternative

1. Given the distance as S = 3t + t3 in ‘t’ seconds. Calculate the velocity after 2 seconds.

15 20 25 10

2. My income for 30days averaged Rs.14 the average for the 1st 10 days was Rs.12 and the average for the last 18 days was Rs.16. What was the income on the 12th day.

Rs.6 Rs. 2 Rs.5 Rs.10

3. 6 men P,Q,R,S,T,U agree with a seventh man V to provide a sum of money among them P,Q,R,S,T,U are to subscribe Rs.20 each and V is to pay Rs.6 more than the average of the seven. What is the whole sum to be provided

Rs.147 Rs.73 Rs.125 Rs.142

4. 6, 12, 36,144

720 760 520 288

5. X has Rs.2 and B has twenty paise. How much must X gives to Y in order that he may & have just 4 times as much as Y.

24 paise 60 paise 12 paise none of these

6. Walking 4/5 of his usual speed, a man is 15 minutes late. His usual time to cover that distance is

50 min 1 hour 5 min 55 min

7. How many metres. does an ant travel in 40sec. @ 90 km/hr.

500 m 1000m 1500 m 1200 m

8. A pressure cooker is sold for Rs. 2400. Sales tax amounts for 1/5th of this and profit ½ of the remainder. Find C.P.

Rs. 960 Rs.620 Rs.1440 Rs.480

9. Find the length of the longest rod that can be placed in the room 24 ft long, 18 ft broad & 16ft high.

34 ft. 32 ft 17 ft 30 ft.

10. The length , breadth and thickness of a rectangular coin are 7: 4:3 and its whole surface area is 2196 sq.cm find its breadth

12 2 cm 14 cm 3 2 none of these

11. There are 6 men and 3 women who are eligible for being included in a team of 4 men and 2 women. In how many ways can the team be formed if one woman Rakhi refuses to be in if another woman Sheetal be included.

30 ways 15 ways 20 ways 25 ways.

12. In how many different ways can 5 questions of true false type be answered

15 ways 3 ways 10 ways 32 ways

13. In a class 50% of the student are boys and 70% of the girls sing. If 60% of the class sings, what % of boys sing.

50 % 25% 35% 75%

14. Cost of painting a circle of radius 3 feet is Rs.200. Find the cost of painting an angular ring with inner radius of 3 yards and outer radius 5 yards.

Rs. 1800 Rs. 1500 Rs.1600 Rs.1200

15. A regular solid with 6 vertices has 2 faces. Find the number of edges

10 4 6 8

16. Increasing the speed by 30% will reduce the travelling time by

23.07% 25% 22.06% 28%

17. An FMCG company has 2 stocks of a shampoo of different cost prices. Due to a demand lag, he sells both the stock in equal quantity at RS.10. one at a gain of 10% and the other at a loss of 10% this overall profit/loss is

gain 2% loss 1% gain 1% loss 1.96%

18. In a 200 m race x gives y a start of 10m. IF x’s speed is 5 m per sec. In what time does y finish the race

42 sec 30 sec 40 sec 50 sec.

19. If 33 = 18 , 46 = 52, 52 = 29, then 63 = ?

45 56 32 48

20. X:Y:Z : 3:4:5. Find the ratio of the square of their average and the average of their squares .

24 /25 27/29 25/24 29/27.

21. If a and b are non-zero rational unequal number then (a + b )2 – ( a – b) 2 / a2b – ab2 is equal to

1/ab 2 / (a-b) 1/ (a-b) 4/ (a-b)

22. [ . 625 x . 625 – . 483 x . 483 ] 1- .858 ] is :

1.502 1.10 1.108 2.04

23. The course of enemy helicopter as plotted on a set of rectangular are given by the equation 4x + 6 y = 10. On the same area, the course of destroyer is indicated by 2x – 27 = 20. The point (x,y) at which the helicopter can be destroyed is :

(7, – 3) (-3,7) (4, -6) (-6 ,4)

24. The value of K for which the system of equations 2x + 4y-1 = 0 and 10x + ky -5 = 0 has no solution is.

10 20 14 6

25. There are two examination halls, A and B. If 20 student are sent from A to B then the number of student in each room is the same. If 40 student are sent from B to A then the number of students in A is double that of B. The number of student in A and M respectively are.

200, 160 160, 200 250, 190 190, 250

26. For what value of K will the equations 4x + 24 y +6 = 0 and

6x + 18y + k = 0 represent coincident lines

7/2 4/7 9/2 8/7

27. Varuna and Aruna solved a quadratic equation. In solving it, Varuna made a mistake in the constant term and got the roots as 3 and 4, while Aruna made a mistake in the co-efficient of x only and obtained roots as –6 and –1. The correct roots of the equation are

-6 , -1 6,1 7, 1 5,2

28. 28 rose plants, 56 marigold plant and 108 Shoeflower planted in rows such that each row contain the same numbers of trees of one variety only. Minimum number of rows in which the above trees may be planted is

24 48 21 56

29. Ashok was asked to multiply a certain number by 26. He multiplied it with 62 and got his answer more than the correct one by 468.

1 14 12 13

30. The number of natural numbers divisible by 7 between 1 and 1000, is :

156 143 142 150

31. Three pieces of timber 21 m, 28 m and 49 m long have to be divided into planks of the same length. What is the greatest possible length of each plank.

7 m 10 m 14 m 8 m.

32. The greatest number that will divide 30,40 & 42 leaving remainder 2,4,6 respectively is

1 6 8 4

33. If 42 = 6.48 , then the value of 7 /6 is

1.08 2.06 3.5 1

34. The price of butter has increased by 50% . The percentage of reduction that a family should affect in the use of butter so as not to increase the expenditure on this account is :

30% 50% 33.33 % 25%

35. The length of a rectangle is increased by 20% and the breadth decrease by 20%. The area of the new rectangle is

decrease by 4% increase by 1% remains same none of these

36. In measuring the side of a square, an error of 10% in excess is made. The error percent in the calculated area is :

10 % 20% 21% 16

37. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is either a black card or a king ?

8/7 7/13 1/7 7/8

38. Ticket numbered from 1 to 30 are mixed up and a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 9.

2 /10 2 /5 1/5 1/10

39. A bag contains 6 black and 4 blue balls. Two balls are drawn at random what is the probability that both the balls drawn are blue.

3/20 2 /15 ¾ 4/5

40. In a lottery there are 15 prizes and 35 blanks what is the probability of getting a prize

3 /10 2/5 3/7 4/5

41. The angles of a pentagon are in the ratio I 4: 6 : 10 : 9. The smallest angles is

18 36 20 14

42. If each interior angle of a regular polygon is 10 times its exterior angle. The number of sides of the polygon is :

23 24 22 21

43. In PQR PQ= 6 CM, PR = 8 CM AND PX is the bisector of angle p. the QX : Xr is.

3 : 4 4 : 3 9 : 16 16 : 9

44. If in the triangle PQR and XYZ angle P is equal to angle Y, both are equal to 50 , PQ : YX = PR : YZ and angle z is 75 then angle q is

85 75 55 65

45. The areas of two similar triangles are 10 cm 2 and 40 cm 2. If the height of the smaller on is 2 cm, the corresponding height of the bigger one is

4 cm 8 cm 6 cm 10 cm

Directions for questions 46 to 75

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.

46. Which is more expensive – on Orange or an Apple

I. Oranges cost Rs. 15 per kg and Apples cost Rs. 5 per kg

II. Each Orange weights thrice as much as an Apple.

1 2 3 4 5

47. In how many years will Rs. 400 double

I. Rs 100 earns an interest of Rs10 in six months

II. An investment of Rs 100 for a year and Rs 60 for six months earns a total interest of Rs 18.

1 2 3 4 5

48. Is a > b

I. a2 ³ b2 + 5

II. |a| – |b| ³ | a – b |

1 2 3 4 5

49. What is the length of the train ?

I. The train crosses a bridge twice its length in 15 Seconds

II. If the speed of the train in increased by 30 km per hour it takes 10 seconds to cross a bridge twice its length.

1 2 3 4 5

50. If a sequence of numbers is given by xn = x n-1 + 3. Is x12 an odd number?

I. x1 is an odd integer

II. x11 is an odd integer

1 2 3 4 5

51. Who stood first in the class?

I. Ravi scored more marks than Veeru who has not scored more than Rakesh, who has scored 5 more than Alok.

II. Had Akash scored 10 marks more, he would have scored 4 marks more than Veeru.

1 2 3 4 5

52. Is p3 + q3 + r3 = 3pqr

I. P + q + r = 0

II. P2 + q2 + r2 = pq + qr + rp

1 2 3 4 5

53. Two trains 150m and 120m are travelling between Delhi and Agra. If the speed of the longer train is 50 kmph, what is the speed of the other train ?

I. The trains cross each other in 12 seconds

II. Agra is 180 km from Delhi

1 2 3 4 5

54. Are cone x and cone y similar?

I. The volumes of the cones is similar

II. The ratio of the curved surface are of cone x to that of cone y is Ö 10

1 2 3 4 5

55. Arvind mixes two types of coffee x and y. The coffee of type x costs Rs 5 / kg and that of

Type y costs Rs 8 / kg. At what price should the merchant sell the mixture, if he wants to gain 20% on the transaction.

I. The mixture weights 100 kgs

II. Arvind mixes the coffee of type x and y in the ratio 3 : 2.

1 2 3 4 5

56. A circus tent is in the from of a cylinder with a cone placed exactly on the top. The ratio of the diameter of the base and the height of the tent is 4 : 5 . What is the area of the canvas required to erect the tent?

I. The radius of the base of the tent is 10 feet

II. The volume of the conical past of the tent is 1/4th the volume of the cylindrical path

1 2 3 4 5

57. Two inlets x and y and an outlet z are connected to cistern. The pipes x, y and z are opened alternately in that order. In how much time will the cistern be filled?

I. Z can empty the cistern is 10 hours.

II. X and y together can fill the cistern in 6 hours

1 2 3 4 5

58. If ‘A’ is an integer, is A/2 are even integer?

I, A is multiple of 2

II. A is multiple of 4

1 2 3 4 5

59. Is xy a prime number

I. x is a prime number

II. y is a fraction

1 2 3 4 5

60. x , y, z are in geometric progression . Is the common ratio negative?

I. y is less than x

II. xyz is greater than xz

1 2 3 4 5

61. If 10 is added to the numerator and denominator each of the fraction p/q, will the new fraction be Less than the original one?

I. p = 100, q = 150

II. p > q, p and q are real numbers

1 2 3 4 5

62. What is the area of right angled triangle PQR

I. The hypotenuse yz = 10

II. xz = 5

1 2 3 4 5

63. When a body falls from rest its distance from the starting point varies as the square of the time it has fallen. How far does it fall in the 15th second

I. If falls through 122m is seconds

II. It falls through 450m is 10 seconds

1 2 3 4 5

64. How many revolutions does cycle wheel make while travelling 2km ?

I. It is pedaled at the speed of A km/hr.

II. The height of the topmost point of the wheel from the ground is 2 metres.

1 2 3 4 5

65. Is q negative.

I. p q 3 is negative

II. p3 q is negative

1 2 3 4 5

66. How long would it take James to complete the work?

I. James and Jack complete the work in 12 days

II. James takes 6 days more than Jack to complete the work.

1 2 3 4 5

67. If x, y, z are integers , is yz even

I. x and y are consecutive integers

II. y and z differ by 1

1 2 3 4 5

68. If p and q are not equal to zero, is 3/p greater than 3/q ?

I. p is larger than q

II. p is negative.

1 2 3 4 5

69. Which is the smallest angle of triangle PQR ?

I. Angle p is 15 degrees

II. Side PR is greater than PQ

1 2 3 4 5

70. What are the sides of a right angled triangle PQR ?

I. Perimeter of the triangle is 120 cms

II. Sum of squares of sides is 5250 sq cms

1 2 3 4 5

71.If p is a negative number, is pqr less than 0 ?

I. At least one of q and r is negative

II. The sum of q and r is positive

1 2 3 4 5

72. Is the number x divisible by 10

I. 2x is divisible by 50

II. x2 is divisible by 100

1 2 3 4 5

73. What is the decrease in the revenue ?

I. The tax on a commodity is reduced by 30% and the sales increase by 12%

II. The tax on a commodity is increased in the ratio 4 : 5 and the sales decrease in the ratio

29 : 25

1 2 3 4 5

74. What is the slope of the line xy

I. xy is perpendicular to the line 4A+5B=20

II. Parallel lines have the same slope

1 2 3 4 5

75. p, k, q, and r are distinct real numbers. Is pq > pr

I. KQ > KR

II. Q > R

1 2 3 4 5

Directions for questions 76 and 77 : In each of the following arguments one premiss is missing. Pick out from the answer-choices the premiss which will complete the argument without imparting any fallacy to it.

76. She will win because she is a good player.

All who win are good player.

All good players win.

Some good players win.

Some who win are good players.

77. Villagers breathe fresh so they are healthy.

All who breathe fresh air are healthy.

. All healthy breathe fresh air.

. Only those who breathe fresh air are healthy.

. Some who breath fresh air are healthy.

Directions for questions 78 to 82 : Each question contains six statements followed by four sets of combinations of three. Choose the set in which the statements are logically related.

78. 1. Some snakes are poisonous.

2. All snakes are nocturnal.

3. All poisonous creatures are snakes.

4. All poisonous creatures are nocturnal.

5. Some snakes are nocturnal creatures.

6.Some nocturnal creatures are poisonous.

165 236 241 235

79.1.Some excessive drinkers are managers.

2. All excessive drinkers are debtors.

3. No debtor is a manager.

4. All debtors are excessive drinkers.

5. No manager is an excessive drinker.

6. Some managers are debtors.

162 352 235 146

80.1.No minister is honest.

2.All judges are honest.

3. Some judges are honest.

4. Some honest persons are ministers.

5. Some judges are not ministers.

6. No honest person is a judge.

165 345 135 251

81. 1. Some smokers are doctors.

2.No smoker is a doctor.

3.All doctors are non-smokers

4.No non-smoker is a smoker.

5. Some doctors are non-smokers.

6. All doctors are smokers.

154 245 364 342

82.1. Some animals are not trained.

2. Elephants are trained animals.

3.All trained animals are in circus.

4.Some trained animals are elephants.

5. Some elephants are in circus.

6. All animals in the circus are trained.

7. Elephants are in circus.

327 674 253 456

Directions for questions 83 to 87 : Given below is a capitalized pair of words which bear a certain relationship to each other. From the alternatives, choose the pair that bear the same relationship as the capitalized pair.

83.DESIGN : ABSTRACT

apple : pear rain : drizzle drink : mango swirling : nebulous

84.FACADE : BUILDING

visage : person

screen : television

hands : watch

personage : importance

85.POP : EXPLODE

annoyed : furious simmer : boil cold : ice freeze : thaw

86.APOCALYPSE : CATASTROPHE

retroactive : aberration

physiognomy : psychometry

flagellate : wave

firmament : sky

87.CRICKETER : GOLFER

painter : sculptor pugnacious : attitude emu : eland clairvoyant : oracular.

Directions for questions 88 to 91: Read the information and answer the questions given below.

John adores classical music. He always prefers Beethoven to Bartok and Mahler to Mozart. He always prefers Haydn to HIndemith and Hindemith to Mozart. He always prefers Mahler to any composer whose name begins with B, except Beethoven, and he always chooses to listen to a composer he prefers.

88. Which of the following can not be true?

John prefers Mahler to Bartok.

John prefers Beethoven to Mozart.

John prefers Bartok to Mozart.

John prefers Mozart to Beethoven.

89. John’s brother gives him ones recording by each of the composers mentioned. Which of the following correctly states the order in which John must play some of the records?

Beethoven, Bartok, Mozart.

Haydn, Hindemith, Mozart.

Beethoven, Mahler, Bartok.

Hindemith, Mahler, Mozart.

90. John’s mother also gives him one recording by each composer mentioned. Which of the following cannot occur?

John plays the Beethoven first third.

John plays the Haydn first.

John plays Mahler.

John plays the Beethoven fifth.

91. John’s father gives him several records. If the first record he plays is by Berlioz, which of the following must be true?

There is no record by Hindemith.

There is no record by Bartok.

One of the records may be by Haydn.

There is no record by Beethoven.

Directions for questions 92 to 95 :In each of the following questions one interrogative statements followed by two argument, one beginning with ‘yes’ and the other with ‘no’. Mark:

(a), if only argument 1 is forceful

(b), if only argument 2 is forceful

(c), if both 1 and 2 are forceful

(d), if neither 1 nor 2 is forceful.

92. Should widow remarriages be made obligatory?

1. Yes, because a widow suffers in various ways.

2. No, because a widow suffering will remain maladjusted.

a b c d

93. Should the people in China be legally forced to adopt family planning program?

1. Yes, because population explosion is perhaps the greatest threat to China’s economic development.

2. No, because nothing is a democratic country like China should be implemented by force.

a b c d

94. Should there be 1/3rd reservation for women in cabinet?

1. Yes, because women have been living under social constraints.

2. No, because such a step would make them helpless dependents.

a b c d

95. Is it beneficial for the national unity of India to separate religion from politics?

1. Yes, because India is a secular state and it is in the interest of national unity to remain secular.

2. No, because religion imparts a moral touch to our politics.

a b c d

Directions for questions 96 to 100: Two sentences below are joined in three different ways and the beginnings of each composite sentence are given. Choose the ones which are syntactically, idiomatically and semantically correct.

96. The moon rose. Their voyage was not ended.

I. The moon rose before the end of their voyage.

II. Their voyage carried on after sunset.

III. Their voyage carried on well into the night.

I only I, II and III II and III I and III

97. She is free from disease. At least she appears to be so.

I. She appears to be free from disease.

II. She has a disease free appearance.

III. She appears to be free from the least diseases.

I only II only I and II III only

98. There was an tender in the newspaper. His interest was much aroused.

I. He read an interest arousing tender in the newspaper.

II. His interest was aroused by a print tender.

III. A tender in the newspaper aroused his interest.

I and III I and II II and III III only

99. After the storm the ship had no mast. It could not before the wind.

I. After the storm, the now mastless ship could not……..

II. The stormy winds sunk the mastless ……..

III. The ship without a mast was sunk after the ………

I only III only I and III only II and III

100. His wife encouraged him. He preserved.

I. Since his wife encouraged him…….

II. He preserved because………

III. His encouraging wife persevered him.

I only II only I and II III only

Directions for question 101 to : 107 From the following sentences, choose one underlined word or phrase that would not be appropriate in standard written English. If the sentence has no errors, mark(5).

101. Someone in the Accounts Department had left the documents upon the table.

1 2 3 4 5

102. In 1970 I lived in Chennai in Shahu Nagar.

1 2 3 4 5

103. I had ordered for ten units but the producer could supply only two.

1 2 3 4 5

104. Unless you do not read and reread the books, you will never be educated.

1 2 3 4 5

105. As far as grouping was concerned my views were different than her.

1 2 3 4 5

106. The rich generally are not sensitive of the sufferings of the poor

1 2 3 4 5

107. Inspite of the massive rescue operation the ship with all her cargo drowned in the shark infested sea.

1 2 3 4 5

Directions for questions 108 to 121 : Choose the pair of words which have a relationship between themselves similar to the relationship between the given pair of words.

108.magnet : iron

tank : fluid hook : net sunlight : plant spray : tree

109. hyperbole : language

prodigality : spending whimsicality : poetry idiom : slang repetition : behaviour

110.ardent : interested

depressed : cheerful bored : curious shy : listless incensed : annoyed

111.Greeting : Farewell

arrival : salutation introduction : conclusion birth : marriage announcement : news

112.razor : barber

scalpel : surgeon weed : gardener recipe : chef medicine : patient

113.formidable : fear

grateful : regret dismal : cheer sickening : disgust generous : pity

114.condolence : sorrow

diligence : wealth responsibility : burden congratulation : success envy : fame

115.stubborn : vacillation

poised : embarrassment

hopeful : decisiveness

subtle : maneuverability

doubtful : concern

116.juggler : hands

surgeon : heart dancer : feet drummer : drums conductor : voice

117.referee : contest

judge : trial defendant : lawsuit member : union spectator : game

118.playwright : actor

producer : director

sculptor : model

biographer : character

choreographer : dancer

119.royalties : authors

investment : corporations

purchase : customers

dividends : stockholders

taxes : workers

120.ophthalmologist : eyes

researcher : disease neurologist : body cardiologist : heart organist : hands

121.sapling : tree

bud : plant employee : manager petal : flower child : person

Directions for questions 122 and 123 : Each of the following sentences has been split into four parts. You have to mark that part which contains a mistake.

122. Civil defense aims at saving lives,

minimizing damage of property

and maintaining continuity of industrial production

in case of an attack

123. Both plants and animals of many sorts

show remarkable changes in form structure, growth habits.

and even mode of reproduction in adapting to

different climatic environment, types of food supply or mode of living.

Directions for questions 124 to 128 : In these questions some part of a sentence has been left blank. From the given choices, select the one which completes the sentence properly in terms of syntax and semantics.

124. He is extremely voluble while commenting on other women, but when it comes to his own sister, he is remarkably __________.

circumventing circumspect circumcised circumlocutive

125.A syllogism is a collection of premisses and a conclusion. Logically, the conclusion ____.

precedes the premisses.

need not be syllogistic in nature

has to follow the premisses

needs two premisses to fulfill it.

126.She has been in the field less than a year and in spite of her half-baked knowledge,she has already started commenting critically on the works of veterans. It is a case of _________.

the pot calling the kettle black

much ado about nothing

a rolling stone gathering too much moss

an empty vessel making more noise.

127. In spite of the huge _______ taken by science and scientists in this century, most scientific discoveries are still largely _______ and not planned.

steps, hidden

strides, serendipitous

advancements, propitious

progress, accidental

128. My father has now become an excellent and caring teacher for my children. His past difficulties have been transformed into _________.

present ones for them

a very good thing for my kids.

indispensable lessons for them

child care lessons for her.

Directions for questions 129 to 131 : read the sentences given below and mark as the answer the pair of words that best fills the pair of blanks in each.

129. She knew that her thinness was a ______ of her disease but knowing it did not make her more willing to ______ it.

part, fight symptom, submit result, improve consequence, accept

130.The fact that her husband had left her, coupled with the fact that the people had started to penetrate the veil of romantic secrecy with which Leela had surrounded herself only _________, turned the tide of public opinion against her.

in the last few years

to protect the interests of the public

to find a clay idol underneath.

exposing herself more.

131.Part of the problem in combating dehydration is that thirst is a poor indicator of bodily needs. Even though people might drink till they are satisfied,__________.

their bodies might still crave more

they might not be sated

it is not enough to hydrate them

they might still need intravenous re-hydration

Directions for questions 132 to 136 : You have to replace each of these sentences with the most appropriate word from among the four options given.

132.Lacking in seriousness

frivolous callous joker causal

133. Subject to whim

arbitrary capricious frivolous fanciful

134.A coil of false hair worn as an adornment

Postiche Coiffure Wreath Braid

135.A person who writes from dictation or copies manuscripts.

Stenographer Secretary Amanuensis Archaeologist

136.Intellectually unsatisfying

Morose Jejune Dreary Tedious

Directions for questions 137 to 141: For each question, select the word among the given choices which is closest in meaning to the given word.

137.EQUITABLE :

square just calm profitable

138. JINX

bad luck trash praise irritation

139. SEDIMENT :

residue imitation vulgarity strength

140. DIAPHANOUS :

noisy silent transparent expansive

141. CULMINATION :

contest casualty agreement goal

Directions for questions 142 to 145: Each question has a phrase or statement followed by four choices of words. Select the word which is closest in meaning to the given phrase or statement.

142. Functioning by means of air

aerobic pneumatic inflationary vulcanizing

143. Science which claims to turn baser metals to gold

chemistry chemotherapy criminology alchemy

144. Of a speech made without preparation

impromptu oration elocution declamation

145. Of a metal capable of being beaten to any shape

brittle ductile malleable dirigible

PASSAGE -1

If life exists on Jupiter, it is most likely to be in the form of bacteria buried deep in the planet’s frozen water or Lichen growing within rocks, say scientists from NASA. There might even be fossilized Jupiter algae locked up in ancient lake, waiting to be found.

Christopher McKay of NASA’s Ames Research center in California told the AAAS that exobiologists, who look for life on other planets, should look for clues among the life forms of the Earth’s ultra-cold regions, where conditions are similar to those on Jupiter.

Lichen, for example, are found within some Antarctic rocks, just beneath the surface where sunlight can still reach them. The rock protects the Lichen water from cold and absorbs water, providing enough for the lichen’s needs, said McKay.

Bacteria have also been found in 3 –million-year-old frozen water dug up from Siberia. If there are any bacteria alive on Jupiter today, they would have had to have survived from the time before the planet cooled more than 3 billion years ago. Nevertheless, McKay is optimistic: “It may be possible that bacteria frozen into the frozen water at the Jupiter South Pole may be viable.”

McKay said algae are found in Antarctic lakes with permanently frozen surfaces. Although no lakes are thought to exist on Jupiter today, they might have existed long ago. If so, the dried-out Jupiter lake beds may contain the fossilized remains of algae. On Earth, masses of microscopic algae form large, layered structures known as stromatolites, which survive as fossils on lake beds, and the putative Jupiter algae might have done the same thing, said Jack Farmer, one of McKay colleagues.

The researchers are compiling a list of promising Jupiter lake beds to be photographed from spacecraft, said farmer. Those photographs could help to select sites for landers that would search for signs of life, past or present. “If we find algae on Jupiter, I would say the Universe is lousy with algae,” McKay said. “Intelligence would be another question.

146. Bacteria survive in the extreme cold conditions of Antarctica on earth for all the following reasons except:

Some Antarctic rocks protect lichen beneath their surface.

bacteria in the Antarctic frost protect lichen from the residual cold after the rock absorbs Water.

the Antarctic rocks protect the lichen from cold by absorbing water and leaving enough for the lichens needs.

sunlight penetrates the surface of the Antarctic rock where the lichen grows.

147. Exobiologists might find on Jupiter algae similar to stromatolites on earth because:

on our planet stromatolites are formed by microscopic algae.

Jupiter lake beds may contain fossilized remains of algae similar to stromatolites on Earth.

there is evidence that photosynthesis which takes place in earth’s’ algae can be found in Jupiter algae too.

all of the above.

148. All of the following are true, except:

if any bacteria are alive today on Jupiter, they must have survived from the time before the planet cooled.

space photographs of Martian craters should reveal to explorers sings of life there.

3- million year-old Siberian permafrost has revealed, on digging up, bacteria.

bacteria frozen into permafrost at the Jupiter South pole may be viable.

149.The most primitive forms of life likely to exist on the planet Jupiter are all the following except: villus and spore.

bacteria in the permafrost.

fossilized algae in the dried – up lake beds.

lichen.

150. According to Christopher McKay, for finding life on other planets explorers should look for clues Among the earth’s ultra cold regions for all the following reasons except:

ammonia and methane, necessary for early formation of life on earth, are found on the

Jupiter Surface.

earths’ ultra cold regions are similar to those on Jupiter.

lichens are found within the Antarctic rocks in extreme conditions.

bacteria have been found in the permafrost dug up in Siberia.

PASSAGE – 2

At this year’s Parliament Conference on small business, to be held in June, one of the topics on the agenda will be how small firms find finance. In counting small firms economists stick to two vague measures. The first is India’s real GDP per company; the lower the figure, the tinier the typical company. This indicator (measured in 1987 Rupees ) fell throughout the 1980s to Rs.237, 000 in 1991. It is increasing again – it is estimated at Rs.248, 000 for last year. The second measure is the share of self-employed workers in the non-farm work force. This reached 8.2% in 1991, up from a low of less than 7% in the mid 1970s, but has since slipped. What is going on? Part of the answer is that small firms are being driven out by large firms which are starting to behave more like their smaller brethren. Big companies, as diverse as Reliance, Richardson and crudas and Tata are pushing decision-making down through the management ranks, restructuring themselves around teams and product-based units and becoming more entrepreneurial. Such firms are also getting leaner. Since the start of the decade, “downsizing” has cut the head count of corporate India by 2.6 million, calculates, Challenger, Grey and Christmas, a consultancy firm in Delhi. Smaller firms try to fight back against these newly competitive giants by growing more swiftly, or by making a wider range of products. Unfortunately, this is often where they stumble. According to research by Robert Nooteboom of chicago’s Groningen University, small firms tend to be good innovators and spend relatively large sums on research and development, but they lag far behind bigger rivals in both market knowledge and the ability to use existing technology to turn inventions into sellable products. In effect, they lack the internal “knowledge network”.

151. In beating back competition from small firms, big Indian companies are adopting all of the following measures, except

restructuring themselves around teams and product lines.

pushing decision –making down through the management ranks.

sub-contracting labour-intensive jobs.

getting leaner by removing excess staff.

152. How are small firms reacting to the challenge from big companies to drive them out?

by growing more quickly,

by making a wider range of products.

by investing more in product innovation.

all of the above.

153. The measures for counting small firms in India are:

Contribution to Rupees earning by small firms.

India’s real GDP per company.

share of self-employed workers in the non-farm workforce.

[ 2 ] and [ 3 ] only.

154. Despite being good innovators and spending large sums on Research and Development, small Firms in India lag behind their bigger rivals in all the following ways except that

they lack financial support for their inventions.

they lack the ability to use existing technology to turn inventions into sellable products.

they lack the internal “knowledge network” that big companies in India exploit for success.

they lack market knowledge.

155. All of the following are true, except:

the share of the self-employed persons in the non-farm workforce in mid- 1970s in India was less than 7%.

India’s real GDP per company fell to Rs.237, 000 in 1991 alone.

the Parliament conference on small business in June will focus on how small firms find finance.

in terms of India’s real GDP per company, the lower the figure the tinier the typical company.

Directions for questions 156 to 185: answer the following questions based on the diagram

The pie chart shows the marks scored by a student in various languages. The total marks scored my him in all the language is 540

156. How much did the student score in kannada

90 10 72 54

157. How much percentage of marks did the student score in English

90% 10% 60% 16.66%

158. The marks scored by the student in Marathi is

1.2 times that of marks scored in Urdu

2 times that of marks scored in Urdu

1.5 times that of marks scored in Urdu

0.8 times that of marks scored in Urdu

159. If the average marks of the student is 108 the the number of subjects he has scored above average is

4 3 2 0

160. If the average marks of the student is 108 then the number he has scored below average is 1 4 3 2

161. How much been scored above the average, by the student in kannada

10 0 20 30

162. How much more did the student score than the average in Marathi

135 24 27 35

163. By how much more the average score than the score in English

18 27 35 24

164. The marks scored in Marathi and English differ the marks scored in Urdu Kannada & Hindi

70 80 90 100

165. The marks scored in Urdu and Kannada differ the marks scored in English, Marathi & Hindi by 90 92 93 99

166. The marks scored by him in Hind and kannada differ the marks scored in English Marathi & Urdu by

135 72 90 105

167. The marks scored in Marathi is more than the marks scored in Kannada by

1.2% 25% 16% 22%

168. The marks scored in Hindi is less than the marks scored in Urdu by

14% 18% 16% 22%

169. If the student attempt one more subjects such that his average increases by 2 marks then he has scored in the new subjects

550 110 130 120

170. If the student chooses to not give I test and yet maintain his average, he must skip

English Hindi Kannada Urdu

World Wide Production of Cars (in million)

171. This country whose share has always shown a rising trend is

Germany Japan Italy France

172. In 1994 to 1995 which country’s share increased in the same proportion as that of the market Italy Germany France & Japan Korea.

173. In 95-96 Korean share fell by

30% 60% 70% 90%

174. In which year;s were Germany’s share more than 1/3rd total share

1997 1995 1998 1996 & 1998

175. The total car market witnessed the highest growth role in production in

1997 1995 1998 1996

176. From the data we can infer that

No. of car users has increases over 5 years

No production of cars has increased over 5 years

Both of the above.

None of the above.

177. If the Japanese cars sold at 1000 $ each and in 1996 Japan sold 70% of its production then they made ( in $ million)

2,80,000 28000 2800 400000

178. If 60% of the German Cars are Volkswagen and half of men are sold in 1998 then then no of VW sold in 1998 (in millions).

900 540 270 450

179. In 1995 which country produced 1/5m of the world’s CARS

France Germany Korea Japan

180. If total production capacity in Italy is 400 cars then capacity used in 1996 is

30% 20% 50% 90%

181. In 1997 France used 75% of its capacity. By how much did the production capacity increased if it had the same capacity utilization in 1998 ( in million).

280 300 140 170

182. In which years did Germany & America alone produce 50% of total production

1998 only 1996 1998 only 1996, 97, 98 1997 only

183. which country produced least can except for 1998

Italy France Korea Japan

184. Over the five years German production increased by 17.75%

increased by 17.75% increased by 600% increased by 300% increased by 200%

185. If you buy a car produced in 1998 the probability that it is French is

0.125 0.375 0.112 0.135

———————————————————————————————

CAT Exam Paper VI Time:120 minutes

No. of questions:185

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

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

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

20. The mill was locked-out since 15th 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

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

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 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

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 ?

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.

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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.

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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

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

I. b = a / 4

II. a + b = 25

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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.

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

I. LP = 90 0

II. The area of PQRS = 4.9

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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

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114. What is the value of x + 3y

I. 6x + 8y = 10 10x –

II. 2y = 18

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115. x + y is odd . Is x even

I. y is even

II. x + y is not greater than 10.

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

I. p, q ,r, is odd

II. pqrs is even

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

I. a > b

II. B c is an even no.

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118. Is b odd

I. a + b is odd

II. a is not odd.

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

I. Bombay has 4 towns

II.Bombay is a port.

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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.

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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

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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.

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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.

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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

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