si rect 2008 - paper iii - key

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SUB INSPECOTRS OF POLICE ETC RECRUITMENT – 2 0 0 8 Paper III - Written examination (Objective type) (200 questions) Questions 1 to 9 require simple analogy. 1. Soap is related to Wash in the same way as Broom is related to —————— (A) Clean (B) Dust (C) Sweep (D) Floor 2. Bread is related to Bakery in the same way as Brick is related to —————— (A) Mint (B) Kiln (C) Furnace (D) Mine 3. Life is related to Autobiography in the same way as Witness is related to —————— (A) Papers (B) Truth (C) Documents (D) Acceptance 4. Radical is related to Moderate in the same way as Revolution is related to —————— (A) Change (B) Chaos (C) Peace (D) Reformation 5. Mathematics is related to Numbers in the same way as History is related to —————— (A) People (B) Events (C) Dates (D) Wars 6. Mirror is related to Reflection in the same way as Water is related to —————— (A) Conduction (B) Dispersion (C) Immersion (D) Refraction 1 KEY

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Page 1: Si Rect 2008 - Paper III - Key

SUB INSPECOTRS OF POLICE ETC RECRUITMENT – 2 0 0 8

Paper III - Written examination (Objective type) (200 questions)

Questions 1 to 9 require simple analogy.

1. Soap is related to Wash in the same way as Broom is related to ——————

(A) Clean (B) Dust (C) Sweep (D) Floor

2. Bread is related to Bakery in the same way as Brick is related to ——————

(A) Mint (B) Kiln (C) Furnace (D) Mine

3. Life is related to Autobiography in the same way as Witness is related to

——————

(A) Papers (B) Truth (C) Documents (D) Acceptance

4. Radical is related to Moderate in the same way as Revolution is related to

——————

(A) Change (B) Chaos (C) Peace (D) Reformation

5. Mathematics is related to Numbers in the same way as History is related to

——————

(A) People (B) Events (C) Dates (D) Wars

6. Mirror is related to Reflection in the same way as Water is related to

——————

(A) Conduction (B) Dispersion (C) Immersion (D) Refraction

7. Motorcycle is related to Battery in the same way as Life is related to

——————

(A) Earth (B) Sun (C) Moon (D) Star

1

KEY

Page 2: Si Rect 2008 - Paper III - Key

8. Tobacco is related to Nerves in the same way as Alcohol is related to

——————

(A) Liver (B) Liquor (C) Intoxication (D) Head

9. Kilogram is related to Quintal in the same way as Paisa is related to

——————

(A) Rupee (B) Coin (C) Wealth (D) Money

Directions : The following questions consist of two words each that have a certain relationship to each other, followed by four lettered pairs of words. Select the lettered pair that has the same relationship as the original pair of words.

10. Agenda : Meeting

(A) Programme : Function (B) Performance : Ticket

(C) Map : Scale (D) Footnote : Article

11. Badminton : Court

(A) Hockey : Stick (B) Cricket : Bat

(C) Skating : Rink (D) Football : Goal

12. Thanks : Gratitude

(A) Courtesy : Manners (B) Salutation : Flag

(C) Protest : Resentment (D) Trial : Error

13. Necessity : Invention

(A) Curiosity : Knowledge (B) Nation : Citizens

(C) Price : Commodity (D) Language : Conversation

14. Chair : Carpenter

(A) Grass : Gardener (B) Medicine : Doctor

(C) Bridge : Engineer (D) Radio : Radiologist

15. Teeth : Dentist

(A) Legs : Philanthropist (B) Eyes : Oculist

(C) Operation : Surgeon (D) Sight : Spectator

16. Wrestler : Arena

(A) Cricket : Pitch (B) Ring : Finger

(C) Farmer : Field (D) Assistant : Clerk

Directions : In this type of questions, a round–about description is given in the form of certain small

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Page 3: Si Rect 2008 - Paper III - Key

relationships and direct relationship between the persons concerned is to be deciphered.

17. Pointing to a photograph, a man said, ‘‘I have no brother or sister but that man’s father is my father’s son.’’ Whose photograph was it?

(A) His own (B) His son’s

(C) His father’s (D) His nephew’s

18. Anil introduces Rohit as the son of the only brother of his father’s wife. How is Rohit related to Anil?

(A) Cousin (B) Son

(C) Uncle (D) Son-in-law

Directions : Read the following information and answer the questions that follow.

Four youngmen Raj, Prem, Ved and Ashok are friendly with four girls Sushma, Kusum, Vimla and Poonam. Sushma and Vimla are friends. Ved’s girl friend does not like Sushma and Vimla. Kusum does not care for Ved. Prem’s girl friend is friendly with Sushma. Sushma does not like Raj.

19. Who is Raj’s girl friend?

(A) Sushma (B) Kusum (C) Vimla (D) Poonam

20. With whom is Sushma friendly?

(A) Raj (B) Prem (C) Ved (D) Ashok

21. Who is Poonam’s boy friend?

(A) Ashok (B) Ved (C) Prem (D) Raj

22. Who does not like Sushma and Vimla?

(A) Poonam (B) Raj (C) Ashok (D) Ved

23. Select from the given diagrams, the one that illustrates the relationship among the given three classes : Judge, Thief, Criminal.

(A) (B)

(C) (D)

Ans. C

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Page 4: Si Rect 2008 - Paper III - Key

24. Choose from the four diagrams given below, the one that illustrates the relationship among languages, French, German

(A) (B)

(C)

(D)

Ans. C

25. A man is facing west. He turns 45 in the clockwise direction and then another 180 in the same direction and then 270 in the anticlockwise direction. Which direction is he facing now?

(A) South (B) North-west (C) West (D) South-west

26. One day, Ravi left home and cycled 10 km southwards, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. How many kilometres will he have to cycle to reach his home straight?

(A) 10 km (B) 15 km (C) 20 km (D) 25 km

27. Johnson left for his office in his car. He drove 15 km towards north and then 10 km towards west. He then turned to the south and covered 5 km. Further, he turned to the east and moved 8 km. Finally, he turned right and drove 10 km. How far and in which direction is he from his starting point?

(A) 2 km West (B) 5 km East

(C) 3 km North (D) 6 km South

28. Different designs can be made by placing a maximum of nine matchsticks. Which of the following designs cannot be made at all?

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Page 5: Si Rect 2008 - Paper III - Key

(A) (B)

(C)

(D)

Ans. C

29. Which number is on the face opposite 6?

(a) (b) (c) (d)

(A) 1 (B) 2 (C) 3 (D) 4

30. If the total number of dots on opposite faces of a cubical block is always 7, find the figure which is correct.

(A)

(B)

(C)

(D)

Answer:  Due to error in the answer, marks are awarded to all candidates

31. Two positions of a dice are shown. When 4 is at the bottom, what number will be on the top?

(i) (ii)

5

6

3 2

6

2 4

5

6 4

1

4 2

●●

●●●

● ●

● ●●

●●

●●●

● ●

● ●●

●●

●●

●●●

● ●

● ●

●●

●●●

● ●

● ●●

●●

1

32

1

56

Page 6: Si Rect 2008 - Paper III - Key

(A) 1 (B) 2 (C) 5 (D) 6

Directions : Find the correct letter pair from the alternatives given in answer choices below, to locate the same relationship among the group of letters as established between the sets in the question.

32. ZA : YB : : XC : ?

(A) YZ (B) NM

(C) BC (D) WD

33. ABCD : WXYZ : : EFGH : ?

(A) STUV (B) STOU

(C) STUE (D) TSUV

34. AD : BE : : CF : ?

(A) DE (B) EC

(C) DG (D) GD

35.

(A) 14 (B) 15

(C) 18 (D) 24

36. If , the value of is

(A) 41 (B) 42

(C) 43 (D) 44

Verbal Reasoning :

37. PAIN : MISERY

(A) Disease : Poverty (B) Despair : Loneliness

(C) Ignorance : Confusion (D) Superstition : Peasants

38. PAINTING : ARTIST

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Page 7: Si Rect 2008 - Paper III - Key

(A) Song : Singer (B) Author : Novel

(C) Poem : Poet (D) Musician : Music

39. BULLET : GUN BARREL

(A) Boat : Lake (B) Grass : Garden

(C) Train : Track (D) Nib : Pen

40. DUSTER : CHALK PIECE

(A) Blackboard : Chalk (B) Erasure : Writing

(C) Cloth : Air (D) Sponge : Water

41. CABIN : SHIP

(A) Cockpit : Plane (B) Wheel : Chair

(C) Room : Bungalow (D) Kitchen : Store room

Directions for Q. No. 42 to 51 both included :  In each group of words given below, there is one that has less in common than others. Identify that word.

42. (A) Cloud (B) Lake (C) Stream (D) Sky

43. (A) Venus (B) Mars (C) Saturn (D) Moon

44. (A) Flower (B) Stem (C) Root (D) Bud

45. (A) Cup (B) Glass (C) Mug (D) Pottery

46. (A) Wheel (B) Rope (C) Chain (D) Idea

47. (A) Write (B) Imagine (C) Think (D) Mediate

48. (A) Sigh (B) Cough (C) Talk (D) Sniff

49. (A) Silk (B) Weave (C) Wool (D) Warp

50. (A) Cooler (B) Feel (C) Dream (D) Looked

51. (A) Cabin (B) Chamber (C) Room (D) Verandah

Directions for Q. No. 52 to 60 both included :  In each of the following questions one interrogative statement is followed by two arguments, one beginning with ‘yes’ and the other with ‘no’. Mark :

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Page 8: Si Rect 2008 - Paper III - Key

(A) If only argument I is forceful

(B) If only argument II is forceful

(C) If both I and II are forceful

(D) If neither I nor II is forceful

52. Should free education be imparted in Indian schools and colleges?

I. Yes, because India is a poor country and people cannot afford education for their children

II. No, because anything which is given free loses its significance and meaning

Ans. D

53. Is the prevalent system of education all right for India?

I. Yes, because it has been prevalent for quite some time

II. No, because it is not job oriented

Ans. D

54. Should ‘Open bk’ system of examinations be introduced in India?

I. Yes, because students will be saved from the scourge of mugging up facts

II. No, because students will not be able to acquire real knowledge without remembering facts

Ans. A

55. Should students be disallowed from taking part in politics?

I. Yes, because students being immature are exploited by the politicians

II. No, because students are future citizens, so by taking part in politics they should train themselves for future roles

Ans. B

56. Should military training be made compulsory in schools and colleges?

I. Yes, because such a training will discipline the students

II. No, because such a training will divert their attention from studies

Ans. D

57. Should science be made a compulsory subject in schools as well as in colleges?

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Page 9: Si Rect 2008 - Paper III - Key

I. Yes, because this is the age of science and students must know science

II. No, the study of science will make them mechanical in outlook

Ans. A

58. Should there be reservation of jobs for women in India?

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

II. No, because such a step would make them helpless dependants

Ans. A

59. Is it possible to dispense with the public sector?

I. Yes, because the private sector has developed a lot and it can replace it

II. No, because regional economic development is possible only through public sector

Ans. C

60. Is it possible to check the rise in prices in India?

I. Yes, because by increasing production we can bring down the prices

II. No, because so many factors contribute to price rise and it is difficult to control all of these factors

Ans. C

61. The square root of 64009 is

(A) 253 (B) 347 (C) 363 (D) 803

62. Evaluate :

(A) 3 (B) 5 (C) 6 (D) 6.4

63. The value of is

(A) 0.00021 (B) 0.0021 (C) 0.021 (D) 0.21

64. If the value of is

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Page 10: Si Rect 2008 - Paper III - Key

(A) 52 (B) 58 (C) 62 (D) 68

65. The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is

(A) 10 (B) 12 (C) 15 (D) 16

66. If the sum of two numbers is 33 and their difference is 15, the smaller number is

(A) 9 (B) 12 (C) 15 (D) 18

67. If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their squares is

(A) 12 (B) 28 (C) 160 (D) 180

68. If 120 is 20% of a number, then 120% of that number will be

(A) 20 (B) 120 (C) 360 (D) 720

69. If 35% of a number is 175, then what percent of 175 is that number?

(A) 35% (B) 65% (C) 280% (D) None of these

70. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is

(A) 4.37% (B) 5% (C) 6% (D) 8.75%

71. The following figure shows a regular pentagon. What is the angle ?

(A) 60 (B) 90 (C) 108 (D) 115

72. is an even number not divisible by 6. How many such numbers are there between 1 and 100, inclusive?

(A) 16 (B) 34 (C) 38 (D) 49

73. The graph below shows the total populations of two different kinds of animals across five

months. In which month was the difference between the two populations the least?

10

A

B

CD

E

Page 11: Si Rect 2008 - Paper III - Key

(A) Month 1 (B) Month 2 (C) Month 3 (D) Month 4

74. For a certain function , and . Which of

these equations define ?

(A) (B)

(C) (D)

75. A bird travels due north 18 km, then due east 6 km, then due south 14 km,

then due west 3 km. How far from its starting point is the bird?

(A) 3 km (B) 4 km (C) 5 km (D) 32 km

76. The volume of a cube is K. Each side of the cube is increased by 50%. What is the new volume of the cube?

(A) 1.5 K (B) 2 K (C) 3.375 K (D) 4 K

77. A certain ore consists of iron, tin and waste in the ratio of 2 : 1 : 22. How many tons of iron are contained in 200 tons of ore?

(A) 2 (B) 4 (C) 16 (D) 21

11

Population

Population levels

Month

Page 12: Si Rect 2008 - Paper III - Key

78. In the figure below, AD = BD = BC = 1. What is the ratio of the area of to ?

(A) 1 : 2 (B) (C) 1 : 1 (D)

79. According to the pictograph given below, during which period did housing starts increase by 10%?

Housing starts

March

April

May

June

July

August

= 100,000 units

(A) March to April (B) April to May

(C) May to June (D) June to July

80. What is the reciprocal of ?

(A) (B) (C) (D)

81. In the figure below, and . If the area of the circle is , what is the area of the square?

12

A

B C

D

Page 13: Si Rect 2008 - Paper III - Key

(A) 4.5 (B)(C)

(D) 18

82. The figure below shows a rectangular plate that is used as part of a physics experiment. The plate is 1 unit by 3 unit and it contains two holes each 1 unit by

unit. Particles are shot at random locations on the plate. What is the probability

that one of these particles will not pass through one of the holes?

(A) (B) (C) (D)

83. The graph of is a straight line that intercepts the axis at and has a slope

of . What is ?

(A) 11 (B) 21(C)

(D) 27

84. Select the largest of these expressions

(A) (B) (C) 2 (D)

85. If 40% of is 10, what is ?

(A) 37 (B) 47 (C) 72 (D) 82

86. In the figure below, . The area of the equilateral triangle ABC is 6. What is the area of parallelogram ADEC?

13

X

l

m

A

l

mC

B D E

Page 14: Si Rect 2008 - Paper III - Key

(A) (B) (C) 10 (D) 12

87. According to the graph given below, between which two years did the price of transistors increase by the highest percentage?

Transistor Price

(A) 1986 and 1987

(B) 1987 and 1988

(C) 1988 and 1989

(D) 1989 and 1990

88. One square has an area of 4 and a second square has an area of 16. What is

the ratio of the perimeter of the first square to the perimeter of the second

square?

(A) 16 : 4 (B) 2 : 1 (C) 1 : 1 (D) 1 : 2

89. One roll of film costs rupees and can be used to take pictures. What is

the cost per picture in terms of and ?

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Page 15: Si Rect 2008 - Paper III - Key

(A) (B) (C) (D)

90. All of the line segments in the figure given below are one unit long and the

central quadrilateral is a square. What is the distance AB?

(A) (B) (C) 2.5 (D) 3

Directions : To each of the following questions from 91 to 103, four

probable answers have been given. Select the most appropriate

alternative as the answer.

91. You have made some silly mistakes which have been pointed out to you. You

will

(A) laugh it away (B) get angry (C) feel miserable (D) feel thankful

92. You are moving across the road on a scooter when you observe that two boys

on a bike snatch a lady's gold chain and ride away. You would

(A) console the woman (B) chase the boys to catch hold

of them

(C) inform the police about the matter (D) stand and see what happens next

15

A

B

Page 16: Si Rect 2008 - Paper III - Key

93. On reaching the railway station, you find that the train you wanted to catch is

just to start and there is hardly any time for purchasing the ticket. The best

thing(A) rush to the (A) rush to the train rather than miss it and inform

the T.T.I. at the next stoppage about your inability for you is to

to purchase the ticket

(B) rush to the train and perform your journey quietly

(C) first purchase the ticket and then catch the train if it is there

(D) miss the train rather than take the risk of boarding the moving train

94. You are returning home from school. On the way, you find a sealed envelope

in a street, fully addressed with unused stamps on it. You would

(A) leave it there as it was and walk away

(B) remove the stamps and destroy the envelope

(C) open the envelope, find out who has dropped it by mistake and send it to him if

possible

(D) post it at the nearest letter box

95. If in the examination hall, you find that the question paper is too tough to be

answered satisfactorily by you, the best thing to do for you is to

(A) tell the examiner that the questions are out of course

(B) provoke the candidates to walk out of the examination hall

(C) try to know something from your neighbour

(D) try to solve the questions as much as you know with a cool head

96. Your bathroom tap is leaking and is a constant source of irritating noise. You would

(A) sleep with pillows upon your ears

(B) put a bucket underneath

(C) try to put up a cork upon the mouth of the tap

(D) call a plumber to repair the tap

97. While sitting in a park, you observe that a smart young man comes to the place on a scooter, leaves it there and goes away with someone else on a motorbike. You would

(A) chase the person (B) inform the police at the nearby booth

(C) call back the person (D) remain engaged in your enjoyment

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98. You are playing football in a park. When you kick the ball, it strikes and breaks the window pane of a nearby house. You would

(A) demand your ball back from the house owner

(B) say that it was no fault of yours

(C) stealthily get your ball back

(D) apologise to the house owner and contribute to replace the glass

99. You are in a bus. The bus reaches your stop but still you have not purchased the ticket because of heavy rush. What will you do?

(A) Jump out quickly to avoid embarrassment

(B) Call the conductor, give him the money and get the ticket

(C) Hand the money to someone sitting nearby to give it to the conductor

(D) Give the money to the driver

100. You find that the person whom your call you friend has been cheating you. What would you do?

(A) Break relations with him (B) Give him tit for tat

(C) Make him realise his mistake (D) Tell other friends about him

101. While attending your friend's party, you see your friend's muffler catching fire from the candle on the table behind him. You would

(A) ask your friend to see behind him

(B) rush to call friend's mother

(C) rush and taking out the muffler from his neck, drop it and pour water on it

(D) take out the muffler and throw it away

102. Your friend has not invited you to his marriage party. You will

(A) hold it against him (B) attend the ceremony

(C) send him your best wishes (D) ignore the whole affair

103. You are playing in your friend's house, when he gets stuck with a naked

electric wire. You would

(A) hold him by the arms and try to set him free

(B) hold the wire and pull it away

(C) pull off the wire with a wooden stick

(D) send for the doctor

104. A shepherd had 17 sheep. All but nine died. How many was he left with?

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Page 18: Si Rect 2008 - Paper III - Key

(A) Nil (B) 8 (C) 9 (D) 17

105. The number of boys in a class is three times the number of girls. Which one

of the following numbers cannot represent the total number of children in the

class?

(A) 48 (B) 44 (C) 42 (D) 40

106. I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left

with one sweet. If I keep 5 in a pack. I am left with none. What is the minimum

number of sweets I can have to pack and distribute?

(A) 25 (B) 37 (C) 54 (D) 65

107. A father tells his son, ‘‘I was of your present age when you were born’’. If the

father is 36 now, how old was the boy 5 years back?

(A) 13 (B) 15 (C) 17 (D) 20

Inserting the missing character for questions 108 to 110 both

included :

108.

(A) 25 (B) 37 (C) 41 (D) 47

109. ? 1 2

21 22 40

1 2 5

20 23 43

(A) 5 (B) 4 (C) 3 (D) 2

110. 6 18 15

3 2 5

4 3 ?

18

6 4

5

29

(iii)

5 3

4

197 5

6

?

(i) (ii)

Page 19: Si Rect 2008 - Paper III - Key

8 27 9

(A) 11 (B) 6 (C) 3 (D) 2

Directions : In each of the following three questions, find out which of the figures (A), (B), (C) and (D) can be formed from the pieces given in (X) :

111.

(X) (A) (B) (C) (D)

112.

(X) (A) (B) (C) (D)

113.

(X) (A) (B) (C) (D)

Directions for Q. 114 and 115 : Read statement and the assumptions

and answer.

114. Statement : ‘‘Put a notice on the board that all the

employees should come on time to office’’ — An officer tells his

assistant.

Assumptions : I. All the employees come late.

II. Employees read such notice on the board.

III.Employees will follow the instructions.

(A) Only I and II are implicit (B) All are implicit

(C) Only II and III are implicit (D) Only I and III are implicit

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115. Statement : ‘‘Z-T.V., the only T.V. which gives the

viewers a chance to watch two

programmes simultaneously’’ — an advertisement.

Assumptions : I. Sale of Z-T.V. will increase because of the advertisement.

II. Some people may be influenced by the advertisement and buy

Z-T.V.

III.The sale of Z-T.V. may be on the downward trend.

(A) None is implicit (B) All are implicit

(C) Only I and II are implicit (D) Only II and III are implicit

Directions for questions 116 and 117 both included : In each of the following

questions, a statement is given, followed by two conclusions. Give

answer (A) if only conclusion I follows; (B) if only conclusion II follows;

(C) if either I or II follows; (D) if neither I nor II follows :

116. Statement : Company X has a record of manufacturing cameras of quality and the

latest design so that you do not spoil even a single shot irrespective of the

weather conditions.

Conclusions : I. No other company except X is reputed in the camera industry.

II. Anyone can take an acceptable shot with camera X.

Ans. B

117. Statement : Jade plant has thick leaves and it requires little water.

Conclusions : I. All plants with thick leaves require little water.

II. Jade plants may be grown in places where water is not in abundance.

Directions for the questions 118 to 122 : In each question below is given a

statement followed by three assumptions numbered I, II and III. You have

to consider the statement and the following assumptions, decide which

of the assumptions is implicit in the statement and choose your answer

accordingly.

Ans. B

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118. Statement : ‘‘I want to present a book on techniques

of yoga to Ajay on his

birthday’’ — A tells B.

Assumptions : I. A will be invited by Ajay on his birthday.

II. The person to whom the book is to be presented, is not keeping

good

health.

III.Book is an acceptable gift for birthday.

(A) Only I and II are implicit (B) Only II and III are implicit

(C) Only I and III are implicit (D) None is implicit

119. Statement : ‘‘Wanted a two bedroom flat in the court

area for immediate

possession’’ — an advertisement.

Assumptions : I. Flats are available in court area.

II. Some people will respond to the advertisement.

III.It is a practice to give such an advertisement.

(A) All are implicit (B) Only II is implicit

(C) None is implicit (D) Only I and II are implicit

120. Statement : The situation of this area still continues to

be tense and out of control.

People are requested to be in their homes only.

Assumptions : I. There had been some serious incidents.

II. People will not go to the office.

III.Normalcy will be restored shortly.

(A) Only I is implicit (B) Only I and II are implicit

(C) All are implicit (D) Only I and III are implicit

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121. Statement : ‘‘Buy pure and natural honey of company

X’’ — an advertisement in a

newspaper.

Assumptions : I. Artificial honey can be prepared.

II. People do not mind paying more for pure and natural honey.

III.No other company supplies pure honey.

(A) Only I is implicit (B) Only I and II are implicit

(C) Only I and III are implicit (D) All are implicit

122. Statement : ‘‘Fly with us and experience the pleasure

of flying’’ — an advertisement

by an airlines.

Assumptions : I. More passengers may be attracted to travel by the airline after

reading the advertisement.

II. People generally may prefer an enjoyable flight.

III. Other airlines may not be offering the same facilities.

(A) None of these (B) Only I is implicit

(C) Only II is implicit (D) Only II and III are implicit

123. How many 6's are there in the following series of numbers which are

preceded by 7 but not immediately followed by 9?

6 7 9 5 6 9 7 6 8 7 6 7 8 6 9 4 6 7 7 6 9 5 7 6 3

(A) One (B) Two (C) Three (D) Four

124. Study the number series given below and answer the question that follow :

7 8 9 7 6 5 3 4 2 8 9 7 2 4 5 9 2 9 7 6 4 7

How many 7's are preceded by 9 and followed by 6?

(A) 2 (B) 3 (C) 4 (D) 5

125. In a row of trees, one tree is fifth from either end of the row. How many trees

are there in the row?

(A) 8 (B) 9 (C) 10 (D) 11

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126. Sanjeev ranks seventh from the top and twenty eighth from the bottom in a class. How many students are there in the class?

(A) 37 (B) 36 (C) 35 (D) 34

127. Ravi is 7 ranks ahead of Sumit in a class of 39. If Sumit's rank is seventeenth from the last, what is Ravi's rank from the start?

(A) 14th (B) 15th (C) 16th (D) 17th

128. Mohini went to the movies nine days ago. She goes to the movies only on Thursday. What day of the week is today?

(A) Thursday (B) Saturday (C) Sunday (D) Tuesday

129. 1.12.91 is first Sunday. Which is the fourth Tuesday of December 91?

(A) 17.12.91 (B) 24.12.91 (C) 26.12.91 (D) 31.12.91

130. Which of these expressions gives the largest result?

(A) 3 + 3 + 3 (B) 3 3 3 (C) (D)

131. If and is a positive integer, what is the value of ?

(A) 4 (B) 12 (C) –12 (D) 48

132. Let . If the zeroes of this polynomial are at –4 and –2; what is ?

(A) 35 (B) 81 (C) 90 (D) 143

133. If and , what is ?

(A) 3 (B) 5 (C) 8 (D) 13

134. In the figure below, and is an isosceles right triangle. What is ?

(A) 15 (B) 30 (C) 45 (D) 60

23

A

l

mC

BX

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135. If then

(A) 2 (B) is any number not equal to

zero

(C) –2(D)

136. then

(A) 5 (B) 6 (C) 7 (D) 10

137. If 5 men take 2 hours to dig a ditch how long will it take for 12 men to dig a

ditch?

(A) 45 min (B) 50 min (C) 54 min (D) 60 min

138. A : B = 2 : 3, C : B = 3 : 4. Then A : C =

(A) 2 : 3 (B) 2 : 4 (C) 8 : 9 (D) 9 : 8

139. If the radius of a sphere is increased by 50%, the % increase in the surface

area =

(A) 100% (B) 125% (C) 150% (D) 200%

140. The median of 2, 4, 6, 11, 8, 15, 13 is

(A) 8 (B) 10 (C) 11 (D) 9

141. : 8 : : 25 : 40. Find

(A) 5 (B) 4 (C) 6 (D) 7

142. . Then

(A) 6 (B) (C) 5 (D) 720

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143. Swamy's monthly expenses are Rs. 150 less than his income. If his income be

increased by Rs. 100 and the expenses decreased by Rs. 50, how much will he be

able to save in an year?

(A) 3600 (B) 3500 (C) 3100 (D) 3000

144. 3 persons working all day can plough a field in 10 days but one of them

having other work, can work only half time. In how many days will it take them to

complete the work?

(A) 10 (B) 11 (C) 12 (D) 13

145. The population of a town is 60,000. If the births are 1 in 20 and the deaths

are 1 in 30. What will the population become in one year?

(A) 61000 (B) 61001 (C) 61110 (D) 61500

146. If then

(A) 5 (B) 125 (C) 625 (D) 225

147. You need 1500 wooden boards to build a model of a house. Each board must

be 0.5 m long. The boards are sold in 2 m lengths. How many boards must you

buy and cut into

0.5 m pieces to get 1500 boards you need?

(A) 42 (B) 375 (C) 125 (D) 500

148. On a number line, which of these numbers would be the farthest to the right?

(A) 0.001 (B) 0.0015 (C) 0.00099 (D) 0.0005

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149. Which of the statements is correct ?

(A) 27% < 1/4 (B) 12% = 1/8 (C) 3 = 335% (D) 2/3 > 66%

150. Solve for

(A) (B)(C) 7 (D) 28

151. If the scale on a road map is 1 cm = 25 km, how many cms would represent 1250 kms?

(A) 45.5 (B) 50 (C) 25 (D) 250

152. Round 100.5861 to the nearest hundredth

(A) 100.586 (B) 100.59 (C) 100.60 (D) 101

153. Ajay ran the 110 m hurdles race in 13.27 seconds. Peter ran the same race in 12.91 seconds. Rounded to the nearest length of a second, how much faster was Peter's time ?

(A) 1 sec. (B) 0.4 secs. (C) .36 secs. (D) 0.3 secs.

154. Venkatesh has to pack Cell phones 10 to a box. If he had 178 Cell phones of one type and 121 Cell phones of another type, how many boxes would he need in order to pack them all and not mix the different Cell phone types in any box?

(A) 30 boxes (B) 31 boxes

(C) 41 boxes (D) None of the above

155. Which of the following problem has an answer of 25% ?

(A) 10 is what percent of 50% (B) 20 is what percent of 80%

(C) 125 is what percent of 75% (D) 25 is what percent of 125%

156. Which object is matched with its appropriate unit of measurement ?

(A) Milligrams for the weight of Text Book

(B) Kilometers for the length of a truck

(C) Grams for the weight of a car

(D) Litres for the capacity of a water tank

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157. Which statement is not correct?

(A) 1000 m = 1 km (B) 1 cm2 = 10–4 m2

(C) 1 cm = 1/100 m (D) 1 tonne = 100 kg

158. Which of the line segments are parallel?

(A) Two adjacent sides of a triangle (B) Two adjacent sides of a pentagon

(C) Two opposite sides of a

rectangle

(D) Two radii of a circle

159. Shameer wants to put a fence all round

his circular shaped garden with radius of 3.5 m. How many meters of fencing he

needs to buy?

(A) 22/7 m (B) 22 m (C) m (D) 30 m

160. What is average (arithmatic mean) of and ?

(A)(B)

(C)(D)

161. In a class room of 35 students, 14 are male. What percent of the class is

male?

(A) 14% (B) 20% (C) 30% (D) 40%

162. The equation has how many distinct real solutions?

(A) 0 (B) 1 (C) 2 (D) 3

163. A machine can make 3 biscuits every two seconds. At this rate, how many

biscuits will be made in one minute?

(A) 150 (B) 90 (C) 180 (D) 110

164. If and , which of the following pairs could be the

values of

and ?

(A) (2, 6) (B) (6, –4) (C) (8, –4) (D) (8, –6)

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165. How many prime numbers are there between 1 - 20?

(A) 3 (B) 5 (C) 8 (D) 11

166. If the positive integer leaves a remainder of 2 when divided by 8, what will

be the remainder be when is divided by 8 ?

(A) 0 (B) 1 (C) 2 (D) 3

167. If 6% of is 7.5, then 36% of equals

(A) 36 (B) 42 (C) 45 (D) 48

168. Picture of Pentagon

In pentagon A B C D E shown about, each side is 1 cm. If an ant starts at

point A and travels clockwise 183 cm along A B C D E the ant will stop at which

point?

(A) B (B) C (C) D (D) E

169. A business is owned by 9 women and 1 man, each of whom owns an equal

share. If one of the women sells 1/2 of her share to the man and another woman

keeps 1/5 share of her share and sells the rest to the man, what fraction of the

business will the man own?

(A) 1/2 (B) 1/3 (C) 11/32 (D) 23/200

Answer:  Due to error in the answer, marks are awarded to all candidates

170. log 15 is equal to

(A) log 5 + log 3 (B) log 10 + log 5 (C) log 12 + log 3 (D) Not known

171. What is the order of the following matrix ?

(A) 1 1 (B) 1 2 (C) 2 4 (D) 4 2

28

A

E

CD

B

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172. If and are two matrices, then where is the transpose of

A  equals to

(A) (B)

(C) (D) None of the above

173. A Pie diagram consists of

(A) Triangles (B) Squares (C) (Pie) (D) Circle

174. If , then is equal to

(A) (B) 1 (C) 1/2 (D)

175. The mean of 20 observations is 12.5. By an error one observation is

registered as –15 instead of 15. The correct mean is

(A) 14 (B) 13 (C) 18 (D) 12.5

176. The median of data is 5. The value of is

(A) 15 (B) 4 (C) 3 (D) 1

177. The average of 10 observations is 7 and the average of 15 observations is

12. The average of total observations is

(A) 12 (B) 15 (C) 10 (D) 8

178. Which one of the following is a scalar matrix ?

(A) (B) (C) (D)

179. The line intersects axis at

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Page 30: Si Rect 2008 - Paper III - Key

(A) 1 (B) Infinity (C) 0 (D) –3

180. The value of is

(A) (B) (C) (D)

181. If , then the value of is equal to

(A) 729 (B) 81 (C) 244 (D) 242

182. The area of a square is 16 square cms. Its perimeter is equal to

(A) 4 cm (B) 8 cm (C) 12 cm (D) 16 cm

183. The area of a triangle is 12 square cms. If its base is 6 cms, its

corresponding altitude is equal to

(A) 4 cm (B) 6 cm (C) 8 cm (D) 12 cm

184. At a sale season, 400 dealers sold either blankets or bedsheets or both. If

163 dealers sold both blankets and bedsheets and 177 dealers sold only blankets,

how many dealers sold only bedsheets?

(A) 145 (B) 97 (C) 104 (D) 120

185. Shiva types at an average rate of 8 pages an hour. At this rate, how many

hours will it take him to type 100 pages?

(A) 8 hrs. (B) 9 hrs. (C) 12 hrs. (D) 14 hrs.

186. If Anjaneyulu and Zakir have less than Rs. 22 between themselves and

Anjaneyulu has Rs. 8 which of the following could be the number of rupees that

Zakir has ?

(A) 12 (B) 14 (C) 16 (D) 20

187. Ganesh drove a Jeep at an average of 15 kmph for two hours and then

increased his average rate by 50% for the next 3 hours. His average rate of speed

for all the 5 hours is equal to

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Page 31: Si Rect 2008 - Paper III - Key

(A) 55 kmph (B) 60 kmph (C) 65 kmph (D) 70 kmph

Answer:  Due to error in the answer, marks are awarded to all candidates

188. In a certain set of numbers the ratio of integer to non-integers is 1 : 4. What

percentage of numbers in the set are integers ?

(A) 20% (B) 25% (C) 40% (D) 75%

189. In the figure given below BC = 4, CD = 5, AD = 12. If point E lies

somewhere between B and C on the line BC, what is one possible length of AE?

(A) 6 (B) 8 (C) 12 (D) 14

190. A circular frame with the width 2 cm. surrounds a circular photo with

diameter 8 cm. What is the area of the frame? Assume that the frame does not

overlap area of the photo.

(A) (B) (C) (D)

191. A certain pump can drain a full 375 litre tank in 15 minutes. At this rate, how

many more minutes would it take to drain a full 600 litre tank?

(A) 9 min (B) 15 min (C) 18 min (D) 24 min

192. If n is an even integer which of the following must be an odd integer?

(A) (B) (C) (D)

31

CB E D

A

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193. Laxmi has a collection of 80 audio tapes. If 40% of her tapes are cinema

songs, and the rest are religious song tapes, how many religious song tapes does

she have?

(A) 32 (B) 40 (C) 42 (D) 48

194. If , then is equal to

(A) 1 (B) 2 (C) 4 (D) 6

195. A type of ‘box’ used in a flow chart is

(A) Sector (B) Rectangle (C) Pentagon (D) Decagon

196. A pictorial representation of the Algorithm is

(A) Pie Chart (B) Flow Chart (C) Histogram (D) Datagram

197. The set of instructions written in a computer language is called

(A) Algorithm (B) Problem (C) Programme (D) Loop

198. The maximum length of the side of a square that can be fitted in a circle of

diameter ‘ ’ is given by

(A) (B) (C) (D)

199. A can do a work in 10 days, B can do the work in 20 days. How many days

will it take to complete the work if both A and B work together?

(A) 8 days (B) 12 days (C) 7 days (D) 6 days

200. The sum of the angles of various sectors in a Pie diagram is

(A) 90 (B) 180 (C) 360 (D) 270

* * * * *

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Page 33: Si Rect 2008 - Paper III - Key

Suggestions or remarks, if any, on the answer key may be sent to E-mail id ‘[email protected]’ by 03-10-2008

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