09.practice set ssc-cgl tier i.pdf

8/10/2019 09.Practice Set SSC-CGL TIER I.pdf

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PRACTICE SET

SSC-CGL TIER I

Part A: General Intelligence &

Reasoning

Directions: In question nos. 1 to 8, select the related

words/letters/numbers from the given alternatives.

1. JTJ : IRI : : GNG : ?

(A) HPH (B) FLF (C) LWL (D) KLK

2. VOTE : DFBE : : RIOT : ?

(A) HIFB (B) FBII (C) IIFB (D) ISUP

3. PQ : UV : : MN : ?

(A) RS (B) OP (C) QR (D) SR

4. 58 : 39 : : 38 : ?

(A) 88 (B) 40 (C) 55 (D) 56

5. 8 : 16 : : 216 : ?

(A) 8 (B) 12 (C) 64 (D) 36

6. City : Metropolis : : Village : ?

(A) Hamlet (B) Tahsil (C) Town (D) Urban

7. Apparel : Cloth : : Footwear : ?

(A) Material (B) Sandals (C) Leather (D) Cobbler

8. 4 : 41 : 5 : : ?

(A) 3 : 40 : 6 (B) 1 : 26 : 5 (C) 8 : 64 : 2 (D) 7 : 52 : 3

Directions: In question nos. 9 and 10 which set of

letters when sequentially placed in the gaps in the given

letter series shall complete it?9. c _ d _ f cc _ e _ c _ d _ f

(A) ccfdee (B) cdefce (C) cedfce (D) cdfecd

10. jk _ j _ k _ j _ kk _ j _ kj

(A) kjkjjk (B) jkkkjk (C) jjkjkk (D) kkjkjj

Directions: In question nos. 11 to 15 a series is given

with one term missing. Choose the correct alternative

from the given ones that will complete the series.

11. D I P Y ?

(A) E (B) J (C) A (D) M

12. CDB FGE IJH ?

(A) OPQ (B) KLM (C) MNO (D) LMK

13. A12B E56F I910J M1314N ?

(A) O1516P (B) Q1718R (C) Q89R (D) R1718Q14. 81 130 166 191 ?

(A) 216 (B) 200 (C) 207 (D)199

15. 1 4 67 346 1003 ?

(A) 2197 (B) 1728 (C) 2100 (D) 2200

16. If BEEF is coded as 4779, then CAGE will be coded as

(A) 9147 (B) 3175 (C) 9174 (D) 1497

17. If means , means , means + and +

means , then 8 14 63 9 + 10 = ?

(A) 100 (B) 96 (C) 98 (D) 106

18. In a certain code language LAUGH is coded as OTFZS.

How will NOISE be coded in that code language?

(A) MVRHL (B) HMRLV (C) MHRLV (D) MLRHV

19. If orangeis called blue, blue is called red, red is called

white, white is calledpink andpink is called green,

then what is the colour of milk?

(A) pink (B) blue (C) green (D) red

20. Identify the symbols to be inserted in place of to

make the given expression correct.

16 4 5 3 17

(A) , , , = (B) , , , =

(C) +, , , = (D) =, +, ,

21. In the morning two friends A and B are going to school.First, they go towards north from their house and then

they turn to their left and then they turn to their right.

After reaching the school, A turns towards west for

his class and B turns to his right which is situated in

the opposite direction of A. In which direction is the

school situated with respect to A and Bs house?

(A) East (B) North-West

(C) South (D) North

Directions: In questions nos. 22 to 27, find the odd

word/numbers/letters from the given alternatives.

22. (A) 3 9 (B) 1 1 (C) 2 4 (D) 4 6

23. (A) 13 (B) 29 (C) 8 (D) 18

24. (A) 132 42 (B) 413 24 (C) 216 54 (D) 231 625. (A) Bread (B) Sweet (C) Cake (D) Biscuit

26. (A) BEHK (B) JMPS (C) PSVZ (D) LORU

27. (A) Mississippi (B) Niger

(C) Colorado (D) Suez

28. Which of the given responses would be a meaningful

order of the following words?

1. Apply 2. Study 3. Job

4. Examination 5. Admission

(A) 5, 2, 4, 1, 3 (B) 1, 2, 4, 5, 3

(C) 4, 2, 1, 5, 3 (D) 5, 2, 4, 3, 1

29. Pointing to a boy, Rohan said, He is grandson of the

woman who is mother-in-law of the husband of my

mother. How is the boy related to Rohan?

(A) Father (B) Brother

(C) Cousin (D) Either (B) or (C)

Directions: In questions nos. 30 and 31 arrange the

given words as per the order in the English dictionary and

select the option indicating the correct order.

30. 1. Spree 2. Sport 3. Spume

4. Sprawl 5. Strong

(A) 3, 2, 1, 5, 4 (B) 2, 4, 1, 3, 5

(C) 2, 4, 3, 1, 5 (D) 4, 2, 1, 3, 5


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31. 1. Introduce 2. Intrigue 3. Intricate

4. Introvert 5. Intrinsic

(A) 3, 1, 2, 4, 5 (B) 3, 2, 1, 4, 5

(C) 3, 2, 5, 1, 4 (D) 2, 3, 1, 5, 4

Directions: In questions nos. 32 to 35, find the missing

number from the given responses.

32.

(A) 71 (B) 112 (C) 140 (D) 142

33.

(A) 11 (B) 12 (C) 10 (D) 15

34. 90 160 ? 360 490

(A) 180 (B) 260 (C) 250 (D) 200

35.18 22

16 20

11 15

9 ?

13 17

11 15

(A) 20 (B) 21 (C) 13 (D) 15

36. A, B, C, D and E are five friends sitting in a row. C is

sitting exactly between A and B. E is not the immediate

neighbour of D. A is sitting second to the left of B.

Who among the following is sitting on the immediate

right of B?

(A) C (B) D

(C) E (D) Either E or D

Directions: In questions nos. 37 and 38, from the

given alternative words, select the word which cannot be

formed by using the letters of the given word.37. SUBHRMANIAN

(A) BRAIN (B) RAIN

(C) SHRINE (D) MAIN

38. THERMOLYSIS

(A) SISTER (B) THEM

(C) LIST (D) LOTUS

Directions: In questions nos. 39 and 40, two

statements followed by two conclusions I and II are given.

You have to consider the statements to be true even if they

seem to be at variance with commonly known facts. You

have to decide which of the given conclusions, if any,

logically follows from the given statements. Give answer

(A) if only conclusion I follows.

(B) if only conclusion II follows.

(C) if either conclusion I or II follows.

(D) if both conclusions I and II follow.

39. Statements: Some birds are sparrows.

All pigeons are sparrows.

Conclusions: I. No pigeon is a bird.

II. Some sparrows are pigeons.

40. Statements: All rats are dogs.

No dog is white.

Conclusions: I. No rat is white.

II.Some dogs are not white.

41. A sheet of paper has been folded and cut as shown in

the Question Figure. You have to figure out from the

four Answer Figures how it will appear when opened.

Question Figures

Answer Figures

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

42. Which Answer Figure will complete the Question

Figure?

Question Figure

Answer Figures

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

43. Which Answer Figure will complete the Question

Figure?

Question Figure

Answer Figures

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

44. Which of the following Answer Figures is embedded

in the Question Figure?

Question Figure

Answer Figure

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


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45. Which of the following Answer Figures is the exact

mirror image of the given Question Figure, when the

mirror is held on the line AB?

Question Figure

Answer Figure

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

46. Find out water image of the given group of letters.

(A)

(B)

(C)(D)

47. Which of the following boxes can be created by

following the given key design?

(A) (B)

(C) (D)

48. The diagram given below represents the number of

those people who like Sprite, Pepsi and Limca. How

many people like Pepsi and Sprite?

(A) 11 (B) 17 (C) 26 (D) 14

49. Which of the following Answer Figures marked by

(A), (B), (C) and (D) satisfies the same condition of

placement of dots as in the Question Figure?

Question Figure

Answer Figures

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

50. How many triangles are there in the figure given

below?

(A) 6 (B) 10 (C) 12 (D) 8

Part B: General Awareness

51. The Constitution (Fifty-second Amendment) Act, 1985

is popularly known as the

(A) Mini Constitution

(B) Anti-Defection Law

(C) Panchayat Raj Law

(D) Introduction of Union Territories

52. In which of the following market structures, new firms

are barred from entering the market?

(A) Perfect competition(B) Monopolistic competition

(C) Monopoly

(D) Oligopoly

53. Which of the following parliamentary committees, the

oldest committee of our central legislature, is

traditionally chaired by a leader from the Opposition

in the Lok Sabha?

(A) Committee of Privileges

(B) Business Advisory Committee

(C) Committee on Public Accounts

(D) Committee on Public Undertakings

54. Jayaprakash Narayan had proposed

(A) partyless democracy

(B) multiparty democracy

(C) presidential form of democracy

(D) direct democracy

55. The World Meteorological Organisation (WMO), the

UN weather agency, has warned that there is a good

chance of an El Nino climate phenomenon in the

Pacific Ocean this year. Which of the following is NOT

correct with regard to El Nino?

(A) This phenomenon occurs every two to seven


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years and is often followed by a return swing of

the pendulum with La Nina.

(B) This phenomenon occurs when the prevailing

trade winds that circulate surface water in the

tropical Pacific start to weaken.

(C) Scientists are of the view that the phenomenon is

caused by climate change.

(D) The last El Nino occurred between Jun 2009 and

May 2010.

56. The sixteenth Lok Sabha election has created a

situation where no single party qualifies for a Leader

of the Opposition post as the rules mandate that the

leader of opposition should be from a party whose

members constitute at least ________of the total

strength of the House.

(A) 5 per cent (B) 7 per cent

(C) 10 per cent (D) 12 per cent

57. The full Election Commission comprises Chief Election

Commissioner (CEC) and two Commissioners. Atpresent, VS Sampath is the CEC while the two

Commissioners are

(A) HS Brahma and SY Quraishi

(B) Nasim Zaidi and SY Quraishi

(C) Nasim Zaidi and HS Brahma

(D) HS Brahma and KG Balakrishnan

58. The highest honour of the American journalism,

Pulitzer Prizes, was announced recently. Donna Tartt

won Pulitzer for her book named

(A) The Goldfinch (B)Dark Places

(C) Gone Girl (D) The Little Friend

59. The Bharatiya Janata Party (BJP) became the first

political party in India to get a majority in the GeneralElection on its own since the Indian National Congress

had done so in

(A) 1952 (B) 1962 (C) 1971 (D) 1984

60. For the first time in the countrys history Shompens,

considered one of the last surviving stone-age tribes,

cast their votes in recently held parliamentary elections.

This tribe is inhabited in which of the following

islands?

(A) Lakshadweep (B) Wheeler Island

(C) Great Nicobar (D) Butcher Island

61. The term Gandhian Economics was coined by

(A) Mahadev Desai

(B) JC Kumarappa(C) Hermann Kallenbach

(D) Acharya Vinoba Bhave

62. The theory contributed by Keynes to economics is:

(A) The propensity to consume is stable in short term.

(B) The propensity to consume is unstable in short

term.

(C) The theory of wages

(D) The impossibility theorem

63. The fourth summit of Conference on Interaction and

Confidence Building Measures in Asia (CICA) was

held recently in

(A) Istanbul (B) Astana

(C) Shanghai (D) Ankara

64. Mohammad Ali Jinnah gave a call to the Muslims to

observe Aug 16, 1946 as

(A) Wakeup Day (B) Pakistan Day

(C) Freedom Day (D) Direct Action Day

65. US-made vehicle Bluefin-21 is deployed in which of

the following missions at present?

(A) Locating debris of the missing Malaysian aircraft

MH370

(B) Verifying the existence of the first earth-size planet

(C) Tracing existence of liquid water on moon

(D) Tracing existence of life at Mars

66. As per the international standard, one nautical mile is

exactly

(A) 1,782 meters (B) 1,798 meters(C) 1,835 meters (D) 1,852 meters

67. Match the following revolts and their leaders and

answer the question on the basis of codes provided

below:

1. Kol uprising a. Tirath Singh

2. Ahom revolt b. Buddho Bhagat

3. Khasi uprising c. Sidhu and Kanhu

4. Santhal uprising d. Gomadhar Konwar

1 2 3 4

(A) d a b c

(B) d c b a

(C) b d a c

(D) a d c b68. With which of the following events, the last opportunity

to avoid division of India was lost?

(A) Rejection of Cripps Mission

(B) Rejection of Cabinet Mission

(C) Rejection of Wavell Plan

(D) Rejection of Rajagopalachari Formula

69. Expand the term SEDF.

(A) Small Enterprise Development Fund

(B) Small Enterprise Development Forum

(C) Small Enterprise Departmental Fund

(D) Small Enterprise Dedicated Fund

70. The Mughal emperor who died during a campaign

against the ravaging Marathas in the Deccan was(A) Jahangir (B) Aurangzeb

(C) Bahadur Shah I (D) Ahmad Shah Bahadur

71. The 61st National Film awards were announced

recently. Which of the following films has won the

award of Best Hindi Film?

(A)Jolly LLB (B) Shahid

(C)Liars Dice (D)Bhaag Milkha Bhaag

72. Which of the following pairs of animals and the their

breathing organs is NOT matched correctly?


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(A) Lizard Skin (B) Birds Lung

(C) Fish Gill (D) Frog Skin

73. The Prime Meridian does not pass through

(A) France (B) Australia

(C) Spain (D) Ghana

74. Consider the following with respect to the constituents

of proteins:

1. Carbon 2. Nitrogen

3. Oxygen 4. Hydrogen

Which of the above is/are present in proteins?

(A) Only 1 (B) Only 1 and 3

(C) Only 1, 3 and 4 (D) All 1, 2, 3 and 4

75. Match the following secretions and the associated

organs in human body and answer the question on

the basis of codes provided below:

1. White blood cells a. Pancreas

2. Insulin b. Pituitary gland

3.Testosterone c. Ovary

4. Estrogen d. Bone marrow1 2 3 4

(A) d a b c

(B) c d b a

(C) b d c a

(D) a d c b

76. Chapchar Kut, Mim Kut and Pawl Kut are three festivals

connected with agricultural activities celebrated in

(A) Tripura (B) Arunachal Pradesh

(C) Mizoram (D) Odisha

77. Which of the following financial institutions is the

last to be established in India?

(A) IFCI (B) NABARD

(C) ICICI (D) IDBI78. Black hole does not allow any radiation to escape out

because of

(A) its huge size (B) its small size

(C) its low density (D) its high density

79. Choose the correct statement with respect to a test

tube baby.

(A) Fertilised egg is grown in the test tube.

(B) Fertilisation takes place in the mothers body.

(C) Fertilisation takes place in the test tube.

(D) Baby grows in the test tube.

80. Who among the following won the Formula One

Chinese Grand Prix recently?

(A) Nico Rosberg (B) Daniel Ricciardo(C) Fernando Alonso (D) Lewis Hamilton

81. When we put a compact disk (CD) in the sunlight, we

see colours like a rainbow. It happens due to

(A) reflection and diffraction

(B) total internal reflection

(C) refraction

(D) reflection and transmission

82. Match the following diseases and the organisms

responsible for them and answer the question on the

basis of codes provided below:

1. SARS a. Corona virus

2. Anthrax b. Yersinia pestis

3. Tuberculosis c. Mycobacterium

4. Plague d. Bacillus anthracis

1 2 3 4

(A) c a b d

(B) d c b a

(C) b d c a

(D) a d c b

83. The polymer used to produce bulletproof objects is

(A) Polyester (B) Polycarbonate

(C) Polyamide (D) Polyvinyl chloride

84. Which of the following is/are used by the body in the

process of blood coagulation?

(A) Vitamin K (B) Calcium

(C) Prothrombin (D) All the above

85. The two-week-long joint military exercise Peace Angel2014 was held recently between

(A) Pakistan and Iran

(B) Pakistan and Afghanistan

(C) US and Afghanistan

(D) China and Pakistan

86. Which of the following is used as an explosive?

(A) Graphite

(B) Nitroglycerine

(C) Mercuric oxide

(D) Phosphorous tetrachloride

87. Phycology is a branch of life science that studies

(A) insects (B) algae

(C) viruses (D) fungus88. Xenon gas is also known as

(A) tear gas (B) laughing gas

(C) stranger gas (D) water gas

89. The functions of kidneys in the human body do not

include

(A) Water level balancing

(B) Red blood cell regulation

(C) Transporting oxygen from one part to other

(D) Waste excretion

90. Which of the following actually does not contain

silver?

(A) German silver (B) Lunar caustic

(C) Horn silver (D) Ruby silver 91. Who among the following won the 2014 Asian award

for outstanding achievement in sports presented in

London recently?

(A) Shikhar Dhawan (B) Rohit Sharma

(C) Yuvraj Singh (D) MS Dhoni

92. NASAs robotic explorer LADEEs annihilation

occurred as planned recently. This explorer was sent

to

(A) Mars (B) Moon (C) Titan (D) Venus


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93. In a recent global study, fifteen Indian bird species are

identified as evolutionarily distinct and globally

endangered (EDGE). Which of the following is/are

included in these fifteen species?

(A) Bengal Florican

(B) Great Indian Bustard

(C) Spoon-billed Sandpiper

(D) All the above

94. Nobel laureate Gabriel Garcia Marquez died recently

at 87. He was a noted

(A) author (B) economist

(C) physicist (D) chemist

95. As per the estimates of the Global Dubai tea forum,

which of the following countries occupies the first

posit ion in terms of contr ibution to world tea

production?

(A) India (B) China (C) Sri Lanka (D) Kenya

96. Which of the following countries has launched a new

observation satellite Ofek 10 into orbit recently? Itis expected to be used to observe Iran and hostile

militant groups in the Middle East.

(A) US (B) UK

(C) Israel (D) Saudi Arabia

97. The bookLowlandhas been shortlisted for this years

Baileys Prize, the UKs only annual book award for

fiction written by a woman. Who is the author of the

book?

(A) Bharati Mukherjee (B) Kiran Desai

(C) Jhumpa Lahiri (D) Arundhati Roy

98. World Health Day is celebrated on 7 Apr every year to

mark the anniversary of the founding of the World

Health Organisation (WHO). WHO was founded in(A) 1946 (B) 1947 (C) 1948 (D) 1950

99. Which of the following countries has decided to shut

infamous Abu Ghraib prison over security fears

recently? A mass breakout in the prison took place in

2013.

(A) Saudi Arabia (B) Iraq

(C) Iran (D) Kuwait

100. Leading fertiliser cooperative IFFCO announced that

its subsidiary had received permission from a

provincial govt of which of the following countries to

set up a $1.6-bn urea plant recently?

(A) Canada (B) Spain

(C) Hungary (D) Poland

Part C: Quantitative Aptitude

101. The value of3249.03969.0

3249.03969.0

is

(A) 0.005 (B) 0.5 (C) 0.05 (D) 0.52

102. A thief is noticed by a policeman from a distance of

300 metres. The thief starts running and the policeman

chases him. The thief and the policeman run at 15

kmph and 16 kmph respectively. What is the distance

between them after 9 minutes?

(A) 100 metres (B) 150 metres

(C) 200 metres (D) 50 metres

103. A chessboard contains 64 equal squares and the area

of each square is 12.25 cm2. A border around the board

is 2 cm wide. Find the length of the side of the

chessboard.

(A) 24 cm (B) 30 cm (C) 28 cm (D) 32 cm

104. The maximum value of sin2(120 + ) + sin2(120 ) is

(A)2

1(B)

2

3(C)

4

3(D)

4

1

105. Five bells commence tolling together and toll at

intervals of 5, 10, 12, 18 and 25 seconds respectively.

In 3 hours how many times will they toll together?

(A) 13 times (B) 7 times (C) 10 times (D) 5 times

106. If 3

x3

x33

93

x15

, then the value of x is

(A) 2 (B)4

3(C) 1 (D) 0

107. A man has some buffaloes and ducks. If the number of

heads is 84 and the number of feet is 238, then the

number of ducks is

(A) 35 (B) 49 (C) 65 (D) 28

108. If x = 3333

3p23p23p23p2

, then the value of3x

1x32

2

is

(A)p2

x3(B)

x3

p2(C)

p2

3(D)

3

p2

109. The average of six numbers is 20. The average of two

of them is 14, while the average of the other two is 27.

Then the average of the remaining two numbers is

(A) 15 (B) 23 (C) 19 (D) 20

110. A two-digit number becomes four-sevenths of itself

when its digits are reversed. The difference of the two

digits is 4. The number is

(A) 48 (B) 95 (C) 59 (D) 84

111. A person was asked to state his age in years. His reply

was, Take my age 4 years hence, multiply it by 4 and

then subtract four times my age four years ago. You

will know how old I am. What was the age of the

person?

(A) 52 years (B) 25 years (C) 32 years (D) 38 years

112. If 53x= 72y= 355zthenx3

1+

y2

1+

z5

1is equal to


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(A)5

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

5

7

113. Three-fifths of five-sevenths of four-ninths of a

number is 20. What is 30% of that number?

(A) 25 (B) 27 (C) 20.5 (D) 31.5

114. In a hostel, 45% had vegetarian lunch while 35% hadnon-vegetarian lunch and 40% had both types of

lunch. If 150 students were present, how many did not

take either type of lunch?

(A) 75 (B) 60 (C) 45 (D) 90

115. In a certain store, the profit is 280% of the cost. If the

cost price increases by 15% and the selling price

remains the same, then the profit is approximately what

per cent of the selling price?

(A) 73.42% (B) 58.8% (C) 69.73% (D) 45%

116. The ratio of zinc to copper in a mixture is 5 : 7. If there

is 30% impurity in zinc and there is 35% impurity in

copper then what is the percentage of pure metal in

the mixture?(A) 65% (B) 67.08% (C) 60.04% (D) 79.83%

117. A man, a woman and a boy can complete a work in 5

days, 7 days and4

38 days respectively. How many

boys must assist a man and a woman to complete the

work in4

1day?

(A) 39 (B) 28 (C) 25 (D) 32

118. A pump can fill a tank with water in 3 hours. Because

of a leak, it took

4

33 hours to fill the tank. The leak can

empty the tank in

(A) 10 hours (B) 18 hours (C) 15 hours (D) 20 hours

119. A boat takes 40 minu tes less to travel 10 km

downstream than to travel the same distance upstream.

If the speed of the boat in still water is 8 kmph then the

speed of the stream is

(A) 3 kmph (B) 2 kmph (C) 5 kmph (D) 1 kmph

120. A man borrows `25600 at 25% compound interest. At

the end of every year he pays `4800 as part repayment.

How much does he still owe after paying three such

instalments?

(A) `31700 (B) `2500 (C) `2430 (D) `15000

121. A sum was put at simple interest at a certain rate for 3years. Had it been put at 5% higher rate, it would have

fetched `105 more. The sum is

(A) `650 (B) `945 (C) `500 (D) `700

122. `9500 is invested partly in 4% stock at 70 and in 12%

stock at 75 to have equal amounts of income. The

investment in 4% stock is

(A) `7000 (B) `4800 (C) `5600 (D) `6000

123. If the area of an equilateral triangle is 349 sq cm,

then its perimeter is

(A) 37 cm (B) 25 cm (C) 42 cm (D) 51 cm

124. Find the area of an iron sheet required to make a cone

of height 88 cm and the base radius 105 cm.

(A) 83245 cm2 (B) 39849 cm2

(C) 65480 cm2 (D) 79860 cm2

125. If each side of a triangle is increased212 times then

the increase in the area of the triangle will be

(A) 450% (B) 300% (C) 525% (D) 125%

126. The ratio of the curved surface area to the total

surface area of a cylinder is 5 : 7. If the total surface

area of the cylinder is 4312 cm2, find the volume of the

cylinder.

(A) 34560 cm3 (B) 2156 cm3

(C) 3456 cm3 (D) 21560 cm3

127. What is the height of a cone which is formed by joining

the two ends of a sector of a circle having radius rand

angle 45?

(A)3

41r(B)

6

23r(C)

8

63r(D) 63r

128. A large solid sphere of diameter 25 metres is melted

and recast into several small spheres of diameter 5

metres each. What is the percentage increase in the

surface area of the smaller spheres with respect to

that of the large sphere?

(A) 400% (B) 325% (C) 375% (D) 475%

129. In the given figure, AB is the diameter of the circle and

ADC = 115. Find CAB.

(A) 15 (B) 30 (C) 20 (D) 25

130. In the given figure PQ is the tangent of the circle. The

line segment PR intersects the circle at N and R. PQ =

24 cm, PR = 36 cm. Find PN.

(A) 12 cm (B) 20 cm (C) 16 cm (D) 21 cm

131. In the given figure, ifBC

DE=

5

3and AE = 15 cm, then

find the measure of AB.


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(A) 18 cm (B) 15 cm (C) 30 cm (D) 25 cm

132. In the adjoining figure O is the centre of the circle.

CAO = 35 and CBO = 40. What is the value of

AOB?

(A) 75 (B) 150 (C) 60 (D) 120

133. Each interior angle of a regular polygon is 150. The

number of the sides is

(A) 10 (B) 18 (C) 15 (D) 12

134. If 0)z3()y2(x 31

3

1

3

1

, then (x + 2y + 3z)3is

(A) 162xyz (B) 124xyz (C) 27xyz (D) 81xyz

135. If 18x

1x

3

3 , then the value of

x

1x is

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

136. The HCF of (16x4 1) and (6x2 x 2) is

(A) (2x 1) (B) (2x + 1) (2x 1)

(C) (2x + 1) (D) (2x + 1) (3x 2)

137. Ifx

824

3

x8 , then the value of

2

2

x

1

9

x is

(A)3

25(B)

3

29(C) 16 (D)

8

33

138. If 1a2

b3

b3

a2 , then the value of (2a)3+ (3b)3is

(A) 1 (B) 5 (C) 0 (D) 13

139. If5

3

1x7

7x5 , then the value of 3

1

x is

(A) 1 (B) 2 (C) 3 (D) 5

140. If tan =3

4, then the value of

5

2sec .cosec is

(A)5

6(B)

3

5(C)

6

5(D)

5

3

141. The value of sin .cos cot1

sin

tan1

cos22

is

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

1

142. If cos4

sin4

=7

5, then the value of sin

is

(A)7

1 (B)

5

2 (C)

5

1 (D) 1

143. In circular measure, the value of angle 15 is

(A)3

2 radian (B)

6 radian

(C)4

radian (D)12

radian

144. If xcos = 3 and x = cosec , then the value of x is

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

145. The angle of elevation of the top of a tower from two

points at a distance 4 metres and 9 metres from the

foot of the tower are complementary. The height of

the tower is

(A) 6 metres (B) 15 metres

(C) 8 metres (D) 318 metresDirections (Q. 146-150): The following pie-charts

show the production of various food crops in two states.

Study the pie-charts carefully and answer the questions

that follow.

State A

Rice6%

Wheat18%

Oth

ers11%

Maize

14%

Bajra

24%

Jowar

12%

Barley

15%

Total production = 2000000 tonnes

State B

Rice

15%

Wheat

10%

Others

8%

Maize

21%

Bajra

8%Jowar

20%

Barley

18%

Total production = 2500000 tonnes

146. What is the total production of Jowar and Wheat in

State A?

(A) 360000 tonnes (B) 650000 tonnes

(C) 240000 tonnes (D) 600000 tonnes

147. What is the production of Rice and Bajra in State B?

(A) 375000 tonnes (B) 575000 tonnes


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148. What is the total production of Barley in State A and

B?

(A) 6000000 tonnes (B) 645000 tonnes


149. What is the ratio of the production of Maize in State B

to that in State A?

(A) 8 : 15 (B) 9 : 8 (C) 15 : 8 (D) 8 : 9

150. What is the ratio of the production of Bajra in State A

to that of Rice in State B?

(A) 32 : 25 (B) 25 : 32 (C) 29 : 24 (D) 24 : 29

Part D: English Comprehension

Directions: In question nos. 151-155, some parts of

the sentences have errors and some have none. Find out

which part of a sentence has an error and blacken the

rectangle [ ] corresponding to the appropriate letter (A),

(B), (C). If there is no error, blacken the rectangle [ ]corresponding to (D) in the Answer Sheet.

151. In a gruesome case of murder, a 23-year old woman

(A)

killed not only her father but also ripped open his

(B)

chest to remove the pacemaker to ensure that he was

(C)

dead. No error

(D)

152. The Supreme Court said that the Election Commission

(A)

could enquire into complaints of paid news against a

(B)political leader if the expenditure incurred on it is not

(C)

disclosed. No error

(D)

153. It is well known that the Assam problem is not a

(A)

communal or religious one but one of conflict between

(B)

the old inhabitants and new settlers. No error

(C) (D)

154. Indian captain Sunil Chhetri is among the five seniors

(A)

picked by national football coach Wim Koevermans(B)

for the Incheon Asian Games while the rest of the

squad would comprise of under 23 players. No error

(C) (D)

155. International Monetary Fund said that Russia was

(A)

already in recession and slashed its growth forecast

(B)

for 2014 citing the effect of the Ukraine crisis on

(C)

investment. No error

(D)

Directions: In question nos. 156 to 160, sentences

are given with blanks to be filled in with an appropriate

word(s). Four alternatives are suggested for each question.

Choose the correct alternative out of the four and indicate

it by blackening the appropriate rectangle [ ] in the

Answer-Sheet.

156. It is not always that a work of non-fiction, ________

the title and topic be, goes into a second print within

a year of its publication.

(A) however current and relevant

(B) moreover current and relevant

(C) howsoever

(D) notwithstanding anything in

157. The accused, Rajesh, serving life imprisonment, had

an argument with his mother allegedly over a landdispute and shot her ________.

(A) once (B) many times

(C) several times (D) more than one times

158. Soaring temperature seems to have made life tough

for Sahara Chief Subrata Roy, who has now ________

that a cooler be placed inside his cell at Tihar Jail.

(A) pledged (B) ordered

(C) advised (D) requested

159. Getting bit by a stray dog and failure of the vaccine to

prevent infection ________ a women in the ICU of a

hospital .

(A) moved (B) landed

(C) threw (D) led 160. By the time the fire tenders ________ the fire, he was

dead.

(A) arrived and doused (B) extinguish

(C) put off (D) removed

Directions: In question nos. 161 to 165, out of the

four alternatives choose the one which best expresses the

meaning of the given word and mark it in your Answer-

Sheet.

161. Crescent

(A) spiral (B) critical

(C) glowing (D) moon-shaped

162. Epitome

(A) postscript (B) compendium(C) inscription (D) byname

163. Recoup

(A) regain (B) recite

(C) recapitulate (D) behead

164. Unlatch

(A) unlawful (B) dissimilar

(C) unfasten (D) improbable

165. Fallacy

(A) fallout (B) flaw


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(C) bizarre (D) uncultivated

Directions: In question nos. 166 to 170, choose the

alternative opposite in meaning to the given word and mark

it in the Answer-Sheet.

166. Captivate

(A) enchant (B) coax

(C) liberate (D) disjunction

167. Couple

(A) young (B) twins

(C) twain (D) individual

168. Incarcerate

(A) release (B) impound

(C) imprison (D) detain

169. Nimble

(A) swift (B) clumsy

(C) brisk (D) deft

170. Blandish

(A) wheedle (B) cajole

(C) discourage (D) enticeDirections: In question nos. 171 to 175, four

alternatives are given for the idiom/phrase bold-italicised

in the sentence. Choose the alternative which best

expresses the meaning of the idiom/phrase and mark it in

the Answer-Sheet.

171. The lawyer got the witness to give a blow-by-blow

descriptionof the incident.

(A) a false description

(B) a word-for-word description

(C) a detailed description

(D) a brief description

172. The boss was mad because Ashokcalled it a dayat

noon and went home.(A) quit work

(B) misbehaved

(C) stole money

(D) fell ill

173. For several days after the accident, his lifehung by

thread.

(A) was in good condition (B) was in danger

(C) improved (D) ended

174. She could not repay the outstanding loan because

she was in the redthis month.

(A) in the hospital (B) out of station

(C) in big trouble (D) in debt

175. Our new office manager reallyrules the roost.(A) avoids the rules (B) dominate a group

(C) behaves like a child (D) respects everybody

Directions: In question nos. 176-180, a part of the

sentence is underlined. Below are given alternatives to

the underlined part at (A), (B) and (C) which may improve

the sentence. Choose the correct alternative. In case no

improvement is needed your answer is (D). Mark your

answer in the Answer-Sheet.

176. Rebels in eastern Ukraine have refused to postpone a

referendum on their regional future despite a call from

Russias President Vladimir Putin.

(A) of their regions future despite of

(B) on their regional future despite of

(C) on their regions future despite

(D) No improvement

177. Thailands deposed premier faces a possible ban from

politics after anti-graft officials ruled that she had faced

impeachment proceedings.

(A) she should face

(B) she should have been facing

(C) she would be faced

(D) No improvement

178. Pakistan launched the short-range surface-to-surface

ballistic missile Hatf III (Ghaznavi), capable of

delivering nuclear and conventional warheads up to a

range of 290 km.

(A) capable of deliver (B) capable of delivery

(C) capable to deliver (D) No improvement179. Human rights group have called on the government

to release Ms Gao and other activists who have

detained in recent weeks.

(A) who had detained

(B) who have been detained

(C) who may have detained

(D) No improvement

180. Syrian rebels blown up a luxury hotel-turned-army

base in the historic heart of Aleppo.

(A) blow (B) blown out

(C) blew up (D) No improvement

Directions: In question nos. 181 to 185, out of the

four alternatives, choose the one which can be substitutedfor the given words/sentence.

181. Events causing great sudden damage

(A) Catastrophe (B) Fiesta

(C) Holocaust (D) Contingency

182. Power that some people are believed to have to be

able to see future events

(A) Vantage (B) Dogma

(C) Magic (D) Clairvoyance

183. Statement to be proved, explained or discussed

(A) Agenda (B) Proposition

(C) Innuendo (D) Postulate

184. The fear of ghosts

(A) Lygophobia (B) Gerascophobia(C) Phasmophobia (D) Ochophobia

185. Highest point of a mountain

(A) Apogee (B) Zenith

(C) Altitude (D) Summit

Directions: In question nos. 186 to 190, four words

are given in each question, out of which only one word is

correctly spelt. Find the correctly spelt word and indicate

it in the Answer Sheet by blackening the appropriate

rectangle.


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186. (A) chamleon (B) chameleon

(C) chamelion (D) chamelian

187. (A) diletante (B) dilletante

(C) dilletent (D) dilettante

188. (A) disparage (B) dispairage

(C) dispraise (D) disperege

189. (A) flunkeyism (B) flunkiesm

(C) flankiesm (D) flunkism

190. (A) omniscent (B) ominiscent

(C) omniscient (D) ominiscient

PASSAGE I (Question Nos. 191 to 195)

Consumer culture may be defined as an indomitable

passion for the purchase and possession of material goods

and services, usually in the high-cost bracket. It is perceived

as a symbol of affluence and aristocracy in the society.

Companies take advantage of this idiosyncrasy in people

and accordingly idolise their products to augment sales.

Two characteristic features distinguish a consumer

economy. First, it is defined by the spree of spending andbuying by the people. Second, consumer culture hinges

not so much on the purchasing power of money, as it does

on creating happiness and a sense of satisfaction obtained

through acquiring and owning personal property.

Consumer culture may be viewed both positively and

negatively. Proponents say that people are happier and

more productive when their wants are met. The contrary

perspective is that consumerism is wasteful and greedy;

that it encourages consumption for its own sake. However,

both sides agree that consumerism is a sign of freedom

and choice.

Nevertheless, during the last quarter of the last century,

as technological advancement leapfrogged, the traditionalroles of the supplier and consumer were changed beyond

recognition. Consumer sovereignty asserted itself; and

both the consumer and the supplier entered into a symbiotic

relationship in which their mutual loyalty was manifest.

They reached a definitive role as equal partners in the

business process.

Therefore, as at present, it is not the supplier who

dictates what a society shall buy and use, but rather the

free-thinking and self-directed consumer who decides what

he wants and will possess. This drives the economy into a

liberal, laissez faire, strong, and stable system; purchases

lead to more purchases and the wheels of production keep

churning all the time.Perhaps, one of the most liberating aspects of

consumer culture is the concept of creating a new self, a

different avatar, by transforming the person into a more

modern individual, and conferring on him a new identity.

The phenomenon of consumer culture is so completely

engrossedin the idea of modernity that the world is no

longer governed by custom, conformity, or tradition; but

by flux, fashion, fancy, and fanfare.

191. According to the given passage, what is consumer

culture?

(A) Consumer culture is the tendency of consumers

to purchase foreign-made goods.

(B) Consumer culture is the strong will to purchase

and possess costly goods and services.

(C) Consumer culture is a business term associated

with the behaviour of consumers.

(D) Consumer culture is related to identifying the

members of affluent society and selling them

costly products.

192. Which of the following is associated with the

consumer economy?

(A) Desire of the people to freely spend and purchase

goods

(B) Purchasing power of money

(C) Inflation and availability of goods and services

(D) Brand names

193. Find the incorrect statement on the basis of the given

passage.(A) When the wants of the people are met they

become happy and their productivity increases.

(B) Consumerism is associated with waste of money;

also it gives birth to greed.

(C) Consumerism is the reflection of choice and

freedom.

(D) There was no remarkable technological

development between the year 1975 and 2000.

194. Which of the following statements is not true about

changing consumer culture?

(A) At present, it is the consumer who decides the

nature of the products.

(B) The relation between the consumer and thesupplier is that of mutual benefit.

(C) The consumer culture is guided not by fashion

but by tradition.

(D) In consumer culture supplier and consumer play

the role as equal partners.

195. What is the meaning of the word engrossed as used

in the given passage?

(A) exalted (B) exasperated

(C) occupied (D) intensified

PASSAGE II (Question Nos. 196 to 200)

The Kathopanishad features a story found in the Rig

Veda to bring to light subtle aspects of the search for the

highest knowledge. Not all are capable of imbibing thisknowledge. Nor can inference or direct perception help in

this regard. It is to be gained only through the teaching of

those to whom these profound truths are revealed. In this

story, Yama and Nachiketa exemplify the qualifications and

eligibilities of the preceptor and the true seeker, pointed

out Sri N Veezhinathan in a discourse.

Nachiketa is the son of Vajasrava, a pious Brahmana,

who performs a sacrifice and gives away old cows as


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presents to priests. Nachiketa is disturbed as he realises

that his father will be adversely affected by giving such

worthless gifts. He asks his father, To whom will you offer

me as a gift? The father initially ignores the question but

when the son persists, he replies impatiently that he would

offer him to Yama. Immediately, both father and son feel

sad about the implications of this utterance. But Nachiketa

decides to obey his father and goes to Yamas abode.

Finding that Yama is not there, he waits for three days.

When Yama returns, he is apologetic for this lapse in

hospitality and after due honours to the guest, wishes to

recompense the boy by offering him three boons.

Nachiketa asks for the welfare of his father as he desires

to return alive to the world as his first boon. He wishes that

his father is freed of anxiety, and that he should remain

calm in mind. This boon is granted.

For the second boon, Nachiketa wishes to know how

people can gain access to heaven since it is believed that

the dwellers in heaven are free of hunger, fear or old ageand they gain immortality. Yama describes in detail the fire

sacrifice and its procedure and grants an extra (fourth)

boon that this fire sacrifice will be known by the name

of Nachiketa.

For the third boon, Nachiketa pitches for the

knowledge of the self that transcendsimpermanent ends

and which is gained by eliminating natural ignorance.

196. Why did Yama offer three boons to Nachiketa?

(A) Because Nachiketa was a very young boy

obedient to his father.

(B) Because Nachiketa had requested him for boons.

(C) Because Yama wanted to compensate his lapse in

hospitality.

(D) Because Nachiketa was the son of a reverend

Brahmana.

197. What was the reason of Nachiketas disturbance?

(A) Vajasrava had cursed him to death.

(B) Vajastava was dishonest in presenting the gifts

to priests.

(C) Nachiketa was afraid of going to Yamas abode.

(D) Vajasrava had ignored his requests.

198. How can one gain the highest knowledge?

(A) By reading the Kathopanishad

(B) By studying all the four Vedas

(C) By listening to the sermons of Rishis and going

to temples

(D) None of the above

199. Which of the following is not true according to the

given passage?(A) Nachiketa was granted four boons by Yama.

(B) In the first boon, Nachiketa asked for the welfare

of his father.

(C) The second boon is related to fire sacrifice.

(D) Vajasrava did not like his obstinate son and

offered him to Yama.

200. What is the meaning of the word transcends as used

in the passage?

(A) surpasses (B) reproduces

(C) instils (D) transforms


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Answers1. B;

2.C; V = 22 2 + 2 = 4 = D

O = 15 1 + 5 = 6 = F

T = 20 2 + 0 = 2 = B

E = 5 5 = 5 = E

Similarly, R = 18 1 + 8 = 9 = I

I = 9 9 = 9 = I

O = 15 1 + 5 = 6 = F

T = 20 2 + 0 = 2 = B

3.A;

4.C; 58 = 82 52= 64 25 = 39

Similarly, 38 = 82 32= 64 9 = 55

5.C;

6. A; Both are synonyms.

7.C; The first is made from the second.

8.B; Middle number = 42+ 52= 41

Similarly, 12+ 52= 26 (Middle number)

9. C; ccdef/ccdef/ccdef

10.A; jkkj/jkkj/jkkj/jkkj

11.B; D = 22= 4; I = 32= 9; P = 42= 16

Y = 52= 25; J= 62= 36

12. D;

13. B; The position of the letters is written

in the middle.

14.C; 81 + 72 = 130; 130 + 62= 166;

166 + 52= 191; 191 + 42= 207

15.D; 13= 1 + 3 = 4; 4 3= 64 + 3 = 67

73= 343 + 3 = 346; 103= 1000 + 3 = 1003

133= 2197 + 3 = 2200

16.A; B = 22= 4; E = 52= 25 = 2 + 5 = 7

F = 6 2= 36 = 3 + 6 = 9; C= 3 2= 9

A= 12= 1; G= 72= 49 = 4 + 9 = 1 + 3 = 4

17.B; 8 14 63 9 + 10 = ?

After substituting the signs,

8 + 14 63 9 10

= 8 + 14 7 10

= 8 + 98 10

= 106 10 = 96

18. C;

Same position in reverse order of the alphabet

Similarly,

Same position in reverse order of the alphabet

19.A; The colour of milk is white and white

is called pink. Hence the colour of milk is

pink .

20.B; 16 4 5 3 = 17

4 5 3 = 20 3 = 17

21. B;

Thus, the school is situated in North-West

direction of As and Bs house.

22.D; 32= 9; 12= 1; 22= 4; 42= 16

23.D; 32 9 + 4 = 13

52 25 + 4 = 29

22 4 + 4 = 8

42 16 + 4 =

24 . A; The digit-sum of the first term is

multiplied by the last digit to obtain the

second term ie.

25.B; All others are baked items.

26.C;

27.D; Rest are rivers while Suez is a canal.

28.A; Admission Study Examination

Apply Job

29. D;

Hence, the boy is either Rohans brother or

cousin.

30.B; Sport Sprawl Spree Spume

Strong

31. C; Intricate Intrigue Intrinsic

Introduce Introvert

32.D; 2 8 + 6 4

= 16 + 24 = 40. Now, 40 2 = 80

Again, 9 4 + 7 5

= 36 + 35 = 71. Then, 71 2 = 142

Thus, 8 4 + 3 9

= 32 + 27 = 59 Then, 59 2 = 118

33.A; (2 + 9) (2 + 1) = 8

Similarly, (5 + 7) (1 + 1) = 10

So, (6 + 8) (3 + 0) = 14 3 = 11

34.C; 32= 9 10 = 90

42= 16 10 = 160

52= 25 10 = 250

62= 36 10 = 360

72= 49 10 = 490

35.C; 18 + 4 = 22, 16 + 4 = 20

Similarly, 11 + 4 = 15, 9 + 4 = 13,

Again, 13 + 4 = 17, 11 + 4 = 15

36.D; E A C B D

or, D A C B E

37. C; There is no E in the key word.

38. D; There is no U in the key word.

39 . B; Some birds are sparrows (I) + (All

pigeons are sparrows conversion ) Some

sparrows are pigeons (I) = I + I = Noconclusion. Hence, conclusion I does not

follow. But conclusion II follows from the

second statement.

40.D; All rats are dogs (A) + No dog is white

(E) = A + E = E = No rat is white. Hence,

conclusion I follows.

Again, No dog is white implicatio n

Some dogs are not white. Hence conclusion

II follows.

41. B 42. A 43. C 44. B 45. A

46. C 47. B 48. A 49. B 50. D

51. B 52. C 53. C 54.A 55. C

56. C 57. C 58. A 59. D 60. C

61. B 62. A 63. C 64. D 65. A

66. D 67. C 68. B 69.A 70. B

71. A 72. A 73. B 74. D 75. A76. C 77. B 78. D 79. C 80. D

81. A 82. D 83. B 84. D 85. D

86. B 87. B 88. C 89. C 90. A

91. D 92. B 93. D 94.A 95. B

96. C 97. C 98. C 99. B 100.A

101.C;3249.03969.0

3249.03969.0

=57.063.0

57.063.0

=20.1

06.0=

120

6=

20

1= 0.05

102.B; Relative speed = 16 15 = 1 kmph

Distance covered in 9 minutes

= 960

1000 =

60

9000= 150 metres

Remaining distance = 300 150 = 150 metres

103.D;

Let the length of the side of the chessboard

be x cm.

Then, the area of 64 chessboard boxes

= 64 12.25 = 784 cm2

Now,

(x 4)2= 784

or, x2 8x + 16 = 784

or, x2 8x 768 = 0

or, x2 32x + 24x 768 = 0

or, x(x 32) + 24(x 32) = 0

or, (x + 24) (x 32) = 0

x = 32 cm

104. B

105. A; LCM of 5, 10, 12, 18, 25 is 900

seconds = 15 minutes

In 3 hours the bells will toll together after

every 15 minutes = 115

603 = 13 times


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106.C; 3

x3

x33

93

x15

3

x3x39)x3(93

x15

3x33

x15

x6

x15= 3

15x = 18 3x

18x = 18

x = 1

107.B; Let the number of buffaloes be x and

that of ducks be y.

Then, x + y = 84 ... (i)

And, 4x + 2y = 238 ... (ii)

Solving (i) and (ii), we get

x = 35 and y = 49

Hence, the number of ducks will be 49.

108.A; 33

33

3p23p2

3p23p2

1

x

Applying componendo and dividendo,

3

3

3p2

3p2

1x

1x

Cubing on both sides,

1x3x3x

1x3x3x

23

23

= 3p2

3p2

Again, applying componendo and dividendo

1x3

x3x

2

3

=6

p4

1x3

)3x(x

2

2

=3

p2

3x

1x3

2

2

= p2

x3

109.C; The sum of remaining two numbers

= (6 20) [(2 14) + (2 27)]

= 120 28 54 = 38

Reqd average =2

38= 19

110.D; Since the number reduces on reversing

the digits, tens digit is greater than units

digit.

Let the units digit be x.

Then the tens digit = x + 4

Now, 10x + (x + 4) =7

4[10(x + 4) + x]

11x + 4 = 7

4[11x + 40]

77x + 28 = 44x + 160

x = 4

Reqd number = (10 8 + 4) = 84

111.C; Let the present age of the person be

x years. Then, 4(x + 4) 4(x 4) = x

4x + 16 4x + 16 = x

x = 32 years

112.B; Let 53x= 72y= 355z= k

5 = x3

1

k , 7 =y2

1

k , 35 = z5

1

k

Now, 5 7 = z5

1

k

on comparison, z5

1

y2

1

x3

1

kk.k

z5

1

y2

1

x3

1

0z5

1y2

1x31

113.D; Let the number be x.

Then, 20xof9

4of

7

5of

5

3

or, 20x9

4

7

5

5

3

x = 105

So, 30% of 105 =100

10530 = 31.5

114. D; Let the number of vegetarians be

n(A) and that of non-vegetarians be n(B).

Then, n(A) = 150 100

45=

2

135

n(B) = 150 10035 =

2105

And n(A B) =100

15040 = 60

Now, n(A B) = n(A) + n(B) n(A B)

= 602

105

2

135

So, the number of students who had either or

both types of lunch = 60

Hence, students who had neither type of

lunch = 150 60 = 90

115. C; Suppose CP = `100. Then, profit

= `280, SP = `380

New CP = 115% of `100 = `115, SP = `380

Profit = 380 115 = `265

Reqd % = 100380

265 = 69.73%

116. B; Let zinc be 5x and copper be 7x.

Pure metal = 70% of 5x + 65% of 7x

=100

x765

100

x570 =

20

x161

Reqd % = 100x12

1

20

x161 = 67.08%

117. D; (1 man + 1 woman)s 1 days work

=5

1+

7

1=

35

12

Work done by 1 man and 1 woman in4

1day

=4

1

35

12 =

35

3

Remaining work = 1 35

3=

35

32

Work done by one boy in4

1 day

=35

4

4

1=

35

1

Number of boys = 3535

32 = 32

118. C; The tank emptied in 1 hour.

15

4

3

1=

15

45=

15

1

The leak will empty the tank in 15 hours

119. B; Let the speed of the stream be x

kmph.

Speed downstream = (8 + x) kmph

Speed upstream = (8 x) kmph

Then,8x

10

x8

10

=3

2

or, 2x64

)x88x(10

=3

2

or, x2+ 30x 64 = 0

or, (x 2) (x + 32) = 0

x = 2 kmph

120.A; Balance = [{25600

3

100

251

}

4800

2

100

251

+ 4800 100

251 +

4800]

= (25600 45

45

45

) {4800 45

4

5+ 4800

4

5+ 4800)}

= 50000 7500 6000 4800 = `31700

121. D; Let the sum be `x and the original

rate be r%.

Then,100

3rx

100

3)5r(x = 105

100

rx3x15rx3 = 105

100

x15= 105

x = `700

122.A; Let the investment in 4% stock be

` x .

Then, investment in 12% stock

= (9500 x)

Now, )x9500(75

12x

70

4

or, )x9500(25

4x

35

2

or, 50x = 140(9500 x)

or, 190x = 140 9500

x =190

1409500 = `7000

123.C; Area of equilateral triangle =2a

4

3

Then, 349a4

3 2

or, a2= 49 4 = 14 14

a = 14

Hence, perimeter = 3a = 3 14 = 42 cm

124. D; r = 105 cm, h = 88 cm

l = 22 rh =22 10588 = 137

Area of the iron sheet = total surface area of

the cone = rl + r2

= )137105(1057

22)lr(r

= 79860 cm2


15/16

K

KUNDAN

125. C; Area of the triangle = bh2

1

Suppose, initially, the area of the triangle

=2

111

2

1

Now, the area of the triangle

=825

25

25

21

Percentage increase in the area

100

2

18

425

100

2

12

1

8

25

= 1004

21 = 525%

126.D; We know that the surface area of a

cylinder is 2 rh and the total surface of the

cylinder = 2

r(h + r).

Then, 7

5

)rh(r2

rh2

or,rh

h

=7

5

or, 1 +h

r=

5

7

Again,2

5

r

h

So, 2

r(h + r) = 4312 cm2

or, 2

rh = 4312 7

5= 3080 cm2

or, 2 3080x5x27

22

x = 7 cm, r = 14 cm, h = 35 cm

Volume of cylinder = r2h

= 3514147

22 = 21560 cm3

127. C; Arc of sector =360

45r2 =

4

r

This arc of sector will be equal to the

per imeter of the cone .

Let the radius of the cone be R.

Then, 2 R =4

r

R =8

r

Further, the radius of the sector will be equal

to the slant height of the cone.

Now, l2= h2+ R2

or, h =64

rr

8

rrR

22

2222

l

=8

63r

128. A; Number of spheres

125

2

5

3

4

2

25

3

4

3

3

Surface area of the large sphere = 4

2

2

25

Surface area of a small sphere =

2

2

54

Total surface area of all the smaller spheres

= 125 4

2

2

5

Now, % change in the area

100

2254

2

254

2

5500

2

22

=25254

42500

100 = 400%

129. D; ABC = 180 115 = 65

ACB = 90

CAB = 180 (90 + 65) = 25

130. C; PN PR = PQ2

Then, PN 36 = 24 24

PN =36

2424

= 16 cm

131. D;

BDE = 125

ADE = 180 125 = 55

and AED = 180 95 = 85

AED ABC

AC

AD

AB

AE

BC

DE

or,5

3=

AB

15

AB = 25 cm

132.B;

OCA = OAC = 35

OCB = OBC = 40

Now, ACB = ACO + BCO

= 35 + 40 = 75

So, AOB = 2

ACB = 150

133. D; Each interior angle = 150

Exterior angle = 180 150 = 30

Number of sides = angleExterior

360

=

30

360= 12

134.A; If a + b + c = 0

then a3+ b3+ c3= 3abc

Now, 3

1

x + 3

1

)y2( + 3

1

)z3( = 0

So, x + 2y + 3z = 3 3

1

x 3

1

)y2( 3

1

)z3(

(x + 2y + 3z)3= 27 x 2y 3z

= 162xyz

135.D;

3

x

1x

= x3+ 3x

1+

x

1x3

= 18 + 3 3 (By option)

Now, 27x

1x

3

x +x

1= 3

136.C; Factor of 16x4 1

16x4 1 = (4x2)2 (1)2

= (4x2+ 1) (4x2 1)

= (4x2+ 1) (2x + 1) (2x 1)

Again, factor of

6x2 x 2

= 6x2 4x + 3x 2

= 2x(3x 2) + 1(3x 2)

= (2x + 1) (3x 2)

HCF = (2x + 1)

137.B; 243

x8 =

x

8

x

1

3

x8 = 24

3x

1

3

x

x

1

3

x2

x

1

9

x2

2

= 9

Squaring both sides, we get

329

329

x1

9x 2

2

138.C; 1a2

b3

b3

a2

1ab6

b9a4 22

4a2+ 9b2 6ab = 0

Now, (2a)3+ (3b)3

= (2a + 3b).(4a2+ 9b2 6ab) = (2a + 3b) 0

= 0


16/16

K

KUNDAN

139.B;1x7

7x5=

5

3

25x 35 = 21x 3

4x = 35 3 = 32

x = 8

2x 3

1

140.C;

tan

=3

4, sec

=3

5, cosec

=4

5

5

2sec

.cosec

=5

2

3

5

4

5=

6

5

141. C; sin .cos

cot1

sin

tan1

cos 22

= sin .cos cossin

sin

sincos

cos 33

= sin

.cos

sincos

sincos 33

)cos(sin

)cos.sinsin)(cossin(coscos.sin

22

= sin

.cos

1 + sin

.cos

= 1

142.A; cos4 sin4 =7

5

or, (cos2 + sin2 ) (cos2 sin2 ) =7

5

or, 1.(1 sin2 sin2 ) =7

5

or, 1 2sin2 =7

5

or, 1 7

5= 2 sin2

or, 2sin2=7

2

sin =7

1

143.D; 1 =180

radian

15 = 15 180

=12

radian

144.B; xcos = 3

x =cos

3

Again, x = cosec

=sin

1

Now,cos

3=

sin

1

or,c

sin=

3

1

or, tan

=3

1 = tan 30

= 30

So, x =30cos

3=

3

23

= 2

145.A; Let AB be the height of the tower.

Then AB = h

In ADB

tan

=

4

h... (i)

Again in ABC

tan(90 ) =9

h

or, cot

=9

h... (ii)

Multiplying (i) and (ii), we get

tan .cot =4

h.

9

h

or, 1 =36

h2

h = 6 metres

146. D; Production of Jowar in State A

= 12% of 2000000

=100

200000012

= 240000 tonnes

Production of Wheat in State A

= 18% of 2000000

=100

200000018 = 360000 tonnes

Total production = 240000 + 360000

= 600000 tonnes

147.B; Total production = 15% of 2500000

+ 8% of 2500000

=100

25000008

100

250000015

= 375000 + 200000 = 575000 tonnes

148.C; Total production = 15% of 2000000

+ 18% of 2500000

=100

250000018

100

200000015

= 300000 + 450000 = 750000 tonnes

149.C; Reqd ratio =2000000of14%

2500000of%21

=200000014

250000021

=8

15= 15 : 8

150.A; Reqd ratio =2500000fo15%

2000000of%24

=250000015%

2000000%24

=25

32= 32 : 25

151. B; Replace killed not only with not

only killed

152. C; Replace is with was

153. D

154. C; Delete of

155. A; Add The before International

156.A 157. C 158. D 159. B 160.A

161. D 162. B 163.A 164. C 165. B

166. C 167. D 168.A 169. B 170. C

171. C 172.A 173. B 174. D 175. B

176. C 177.A 178. D 179. B 180. C

181.A 182. D 183. B 184. C 185. D

186. B 187. D 188.A 189.A 190. C

191. B 192.A 193. D 194. C 195. C

196. C 197. B 198. D 199. D 200.A

09.practice set ssc-cgl tier i.pdf

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