08.Practice Set SSC-CGL TIER I.pdf

8/10/2019 08.Practice Set SSC-CGL TIER I.pdf

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PRACTICE SET

SSC-CGL TIER IPart A: General Intelligence &

Reasoning

1. If SMEARS is coded as WQBXVW then LIQUOR will

be coded as

(A) OFULRV (B) OUFRLV

(C) PFURLV (D) OLUXLV

2. If RAIN is coded as NIRA then PLAY will be coded as

(A) LPYA (B) YAPL (C) YALP (D) YPAL

3. Which of the following interchanges of signs would

make the given equation correct?

8 2 + 36 6 2 = 20

(A) and (B) + and

(C) and (D) and +

4. Identify the symbols to be inserted to make the

expression correct.

42 14 5 2 17

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

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

5. 65% of 250 + 35% of 720 = ?

(A) 89.5 (B) 162.5 (C) 414.5 (D) 420

Directions: In question nos. 6 to 13, find the odd word/

numbers/letters from the given alternatives.

6. (A) 15 (B) 10(C) 11 (D) 16

7. (A) 65 74 (B) 83 29

(C) 35 24 (D) 26 44

8. (A) 7 4 (B) 6 5

(C) 9 11 (D) 21 18

9. (A) QRS (B) XWV (C) LKJ (D) PON

10. (A) JMO (B) TWY (C) CFH (D) PSV

11. (A) CAT (B) GET (C) MAT (D) RAT

12. (A) Pineapple (B) Malta

(C) Banana (D) Orange

13. (A) River (B) Sea (C) Pool (D) Lake

Directions: In question nos. 14 to 20, select the

related words/letters/numbers from the given alternatives.14. Mirth : Laughter : : ?

(A) Cry : Console (B) Sorrow : Worry

(C) Peace : Care (D) Pain : Help

15. Polar Bear : Greenland : : Snow leopard : ?

(A) Australia (B) Afghanistan

(C) South Africa (D) England

16. Product : Customer Solution : : Promotion : ?

(A) Sales (B) Public relation

(C) Communication (D) Transport

17. Blood : Veins : :

(A) Wood : Trees (B) Food : Stomach

(C) Fuel : Pipes (D) Bottle : Water

18. IFL : RLX : : DGJ : ?

(A) HOT (B) TNH (C) EHK (D) HNT

19. DFH : HOX : : CEG : ?

(A) GNW (B) GHJ (C) WNG (D) GVX

20. 7 : 294 : : 9 : ?

(A) 650 (B) 648 (C) 730 (D) 640

21. Which set of letters when sequentially placed in the

gaps in the given letter series shall complete it?

MN _ NMNO _ MN _ N _ NON _ N

(A) ONMMN (B) ONMMO(C) ONOMM (D) MNOMO

22. A series is given with one term missing. Choose the

correct alternative from the given ones.

DFEC, HJIG, ?

(A) LMNO (B) LMKN

(C) LKMN (D) LNMK

Directions: In question nos. 23 to 24 arrange the

given words in a meaningful and ascending order and

select the option indicating the correct order.

23. 1. Population 2. Disease 3. Death

4. Poverty 5. Unemployment

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

(C) 1, 2, 3, 4, 5 (D) 1, 5, 3, 4, 224. 1. Stitch 2. Mark 3. Measure

4. Cut 5. Put on

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

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

Directions: In question nos. 25 and 26, find the

missing number from the given responses.

25. 878 4 946

487 ? 476

(A) 4 (B) 12 (C) 2 (D) 6

26.

(A) 42 (B) 63 (C) 51 (D) 55

27.6 5

? 11

12 3

36 15

8 5

40 13

(A) 30 (B) 35 (C) 45 (D) 41


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28.

(A) 730 (B) 2031 (C) 21 (D) 1931

29. 0 2 8 14 24 ?

(A) 32 (B) 30 (C) 35 (D) 34

30. A goes 25 metres north, then turns to his right and

walks 30 metres, then he turns to his right and walks

15 metres, again he turns to his right and walks 30

metres. How many metres is he from his original

position?

(A) 10m (B) 5m

(C) 15m (D) 20m

31. If South-East is called East, North-West is called

West, South-West is called South and so on, what

will North be called?(A) South (B) North-West

(C) South-East (D) East

32. 6 persons A, B, C, D, E and F are sitting in a circle

facing the centre. F is opposite A. D and C are not the

neighbours of F. B is second to the left of E. Who is

opposite D?

(A) E (B) C

(C) Either B or E (D) Either E or C

33. A is to the south of B, and C is to the east of B. In what

direction is A with respect to C?

(A) Southwest (B) Northeast

(C) West (D) South

Directions: In question nos. 34 and 35, from the givenalternative words, select the word which cannot be formed

using the letters of the given word.

34. COMMENTATOR

(A) CATERER (B) MOMENT

(C) COMMON (D) COMMENT

35. REFRIGERATE

(A) GREAT (B) TREE

(C) GENERATE (D) REFER

36. Find the combination of numbers for which

corresponding letters will form a meaningful word.

(A) 4, 5, 2, 3, 6, 1 (B) 5, 3, 2, 6, 4, 1

(C) 3, 2, 6, 5, 4, 1 (D) 5, 4, 2, 1, 6, 3

37. The letters skipped between adjacent letters are in the

order of 4, 2, 3, 1. Which of the following sets of letters

follows this rule?

(A) NSWXZ (B) LQTXZ

(C) PUYZB (D) EKMQS

Directions: In question nos. 38 and 39, below are

given two/three statements followed by two conclusions

numbered I and II. You have to take the given statements to

be true even if they seem to be at variance with commonly

known facts. Read all the conclusions and then decide

which of the given conclusions logically follows from the

given statements, disregarding commonly known facts.

Give answer

(A) if only conclusion I follows.

(B) if only conclusion II follows.

(C) if either conclusion I or II follows.

(D) if neither conclusion I nor II follows.

38. Statements: No box is a lock.

No key is a box.

Conclusions: I. Some keys are boxes.

II.No lock is key.

39. Statements: All blocks are toys

All stars are toys.

Conclusions: I. Some blocks are stars.

II. Some toys are stars.

40. In the following figure rectangle represents Doctors,triangle represents Boys and square represents

Intelligent. Find out the Doctors who are Intelligent

but not Boys.

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

41. A piece of paper is folded and cut as shown below in

the Question Figures. From the given Answer Figures,

indicate how it will appear when opened.

Question Figures

Answer Figures

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

42. From the given Answer Figure, select the one in which

the Question Figure is hidden/embedded.

Question Figure


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53. Who among the following is NOT appointed by the

President of India?

(A) Chief Justice of India

(B) Chief of the Army Staff

(C) Speaker of the Lok Sabha

(D) Governors of states of India

54. The atomic energy department functions under the

administration of which of the following?

(A) PMO

(B) Minister of Science and Technology

(C) Minister of New and Renewable Energy

(D) Ministry of Power

55. Narmada basin extends over which of the following

states?

(A) Maharashtra (B) Gujarat

(C) Madhya Pradesh (D) All the above

56. Consider the following countries:

1. Argentina 2. Brazil

3. Chile 4. South AfricaThe Tropic of Capricon passes through which of the

above countries?

(A) Only 1 (B) 1, 2 and 3

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

57. Which of the following is a unit of distance?

(A) Parallactic second (B) Light year

(C) Astronomical unit (D) All the above

58. Which of the following pairs of cities and rivers is

NOT matched correctly?

(A) Paris Seine (B) Kolkata Hugli

(C) Berlin Rhine (D) Baghdad Tigris

59. In the context of the economy in independent India,

which of the following happened first?(A) First Five Year Plan

(B) Nationalisation of State Bank of India

(C) Nationalisation of insurance companies

(D) Passage of Banking Regulation Act

60. After being appointed as a Union minister, a person

needs to be elected or nominated as a member of the

Parliament within

(A) six months

(B) one year

(C) two year

(D) before the tenure of the Lok Sabha ends

61. Which of the following rivers originates in India?

(A) Sutlej (B) Indus(C) Chenab (D) Brahmaputra

62. Sentinelese tribe is found in which of the following

states/territories?

(A) West Bengal

(B) Dadra and Nagar Haveli

(C) Goa

(D) Andaman and Nicobar Islands

63. How many times a person can seek re-election as the

President of India?

(A) Only once (B) Only twice

(C) Only thrice (D) Any number of times

64. The development of GUIs, mouse and handheld

devices took place in

(A) First generation (B) Second generation

(C) Third generation (D) Fourth generation

65. The governor of a state is appointed by the President

on the advice of

(A) Prime Minister

(B) Speaker of the Lok Sabha

(C) Chief Minister of the state

(D) Chief Justice of High Court of the state

66. Which of the following is NOT a factor of production?

(A) Bank credit (B) Land

(C) Labour (D) Capital

67. The study of microeconomics does not involve which

of the following?

(A) Industries (B) Individual consumers

(C) Households (D) Economic aggregates68. Which of the following is also known as stranger gas?

(A) Xenon (B) Neon

(C) Argon (D) Helium

69. A compact disc (CD) is which of the following types

of storage media?

(A) Magnetic (B) Electrical

(C) Optical (D) None of these

70. The British established their first factory in Surat with

the permission of

(A) Jahangir (B) Sher Shah Suri

(C) Shah Jahan (D) Hemu

71. Which of the following best defines recession?

(A) A period of declining unemployment(B) A period of very rapidly declining prices

(C) A period during which aggregate output declines

(D) A period of declining prices

72. Which of the following is the pair of the lightest and

the heaviest metal respectively?

(A) Lithium, Osmium (B) Aluminium, Osmium

(C) Tin, Mercury (D) Aluminium, Mercury

73. The Doctrine of Lapse was an annexation policy

devised by

(A) Lord Canning (B) Lord Dalhousie

(C) Lord William Bentinck (D) Lord Wellesley

74. Match the following and answer the question on the

basis of codes provided below:1. National Centre for Cell Science a. Hyderabad

2. Centre for DNA Fingerprinting b. Gurgaon

and Diagnostics

3. National Brain Research Centre c. Karnal

4. National Dairy Research Institute d. Pune

Codes:

1 2 3 4

(A) d c b a

(B) d a b c


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(C) b d c a

(D) a d c b

75. The slogan Do or Die is associated with which of the

following?

(A) Civil Disobedience Movement

(B) Non-Cooperation Movement

(C) Quit India Movement

(D) Revolt of 1857

76. The amount of goods and services that any one

household gets in a free market system depends upon

its

(A) family size

(B) income and wealth

(C) wealth

(D) quality of goods and services available

77. Which of the following is an egg-laying mammal?

(A) Whale (B) Echidna

(C) Bat (D) Kangaroo

78. Rocket technology is based on which of the followingprinciples?

(A) Bernoullis Principle

(B) Conservation of energy

(C) Conservation of momentum

(D) Newtons first law of motion

79. Optical fibres are used in medicine in

(A) X-ray (B) Ultrasound

(C) Endoscopy (D) ECG

80. Who wrote the book Visva Parichay?

(A) Rabindranath Tagore

(B) Satyendranath Bose

(C) Jagadish Chandra Bose

(D) CV Raman81. Which of the following states shares its boundary

with only one Indian state?

(A) Tripura (B) Odisha

(C) Jammu & Kashmir (D) Sikkim

82. Match the following instruments and their usages and

answer the question on the basis of codes provided

below:

1. Galvanometer a. Specific gravity of liquids

2. Periscope b. Observation from a

concealed position

3. Telemeter c. Electric Current

4. Hydrometer d. Distance from observer

Codes:1 2 3 4

(A) c b d a

(B) d c b a

(C) b d c a

(D) a d c b

83. Which of the following is NOT correct?

(A) Light is a form of energy.

(B) Light rays travel in straight lines.

(C) Light travels at a speed of 3x108 m/s in air or

vacuum.

(D) None of the above

84. Printers ink is made with carbon black and is obtained

by the decomposition of

(A) Methane (B) Acetylene

(C) Benzene (D) Carbon tetrachloride

85. Match the following and answer the question on the

basis of codes provided below:

Common name Chemical name

1. Limestone a. Sodium bicarbonate

2. Caustic Soda b. Calcium Carbonate

3. Baking Soda c. Sodium Nitrate

4. Chile Saltpetre d. Sodium Hydroxide

Codes:

1 2 3 4

(A) d a b c

(B) d c b a

(C) b d a c

(D) a d c b86. The chemical used to control weeds is called

(A) Pesticide (B) Herbicide

(C) Germicide (D) None of these

87. Papaya is a

(A) Nut (B) Berry

(C) Drupe (D) Pome

88. Which of the following is a carnivorous plant?

(A) Pitcher plant (B) Night queen

(C) Lily (D) Jatropha

89. In view of its success in providing skills to the youth,

what amount has been proposed for the National Skill

Development Corporation (NSDC) in the Interim Union

Budget for 2014-15?(A) `500 cr (B) `750 cr

(C) `1000 cr (D) `1250 cr

90. The Cabinet Committee on Economic Affairs (CCEA)

has given nod for declaring how many kilometres of

state highways as national highways recently?

(A) 6,000 km (B) 7,200 km

(C) 7,500 km (D) 8,100 km

91. Which among the following state govts has finalized

a `4,000-cr relief and rehabilitation package to farmers

in 28 districts of the state hit by hailstorms?

(A) Gujarat (B) Rajasthan

(C) Madhya Pradesh (D) Maharashtra

92. Who among the following is the winner of the womenssingles title of the 2014 WTA Dubai Tennis

Championship?

(A) Venus Williams (B) Serena Williams

(C) Alize Cornet (D) Ana Ivanovic

93. National Womens Day is celebrated in India on 13

Feb every year. This day is celebrated in the memory

of

(A) Sarojini Naidu (B) Indira Gandhi

(C) Rani Lakshmibai (D) Vijaya Lakshmi Pandit


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94. According to the recent data released by the World

Health Organization (WHO), most drug-resistant TB

patient live in which of the following countries as of

now?

(A) China (B) Pakistan

(C) US (D) India

95. The book Crossing the Bay of Bengal has been

authored by

(A) Sunil S Amrith (B) Reza Aslan

(C) Chaman Lal (D) Pankaj Mishra

96. The govt has given its nod to classify which of the

following languages as the sixth Indian classical

language?

(A) Odia (B) Marathi

(C) Gujarati (D) Bengali

97. David Johnston, who visited India recently, is the

present Governor General of which of the following

countries?

(A) Canada (B) Spain(C) Norway (D) Switzerland

98. Which of the following countries has been ranked on

top among 10 countries based on their use of digital

government, in a new study by Accenture? India has

been ranked 8th in the study.

(A) Singapore (B) Norway

(C) UAE (D) US

99. Name the India-born doctor, a senior cardiovascular

surgeon at Harvard University, who has worked out a

21-chemical solution named SOMAH that could

preserve a donated organ for up to a week before a

transplant.

(A) Pawan Kumar (B) Vivek Rao(C) Hemant Thatte (D) Harminder Dua

100. Name the Indian-origin scientist in the UK who has

recently discovered an ultra-thin layer hidden deep in

the eye that may help cure blindness caused by

glaucoma.

(A) Harminder Dua (B) Pawan Kumar

(C) Vivek Rao (D) Hemant Thatte

Part C: Quantitative Aptitude

101. Ramesh was six times older than Suresh 10 years ago.

Ramesh would be two times Sureshs age 6 years from

now. 4 years ago, what was the ratio of Sureshs ageto Rameshs?

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

102. The incomes of three families P, Q and R are in the

ratio of 6 : 8 : 11 and their expenditures are in the ratio

of 5 : 8 : 10. If family P saves2

1of his income, then the

savings of families P, Q and R are in the ratio of

(A) 2 : 15 : 20 (B) 16 : 3 : 25

(C) 15 : 16 : 25 (D) 25 : 16 : 3

103. 45% of the population in a village are literate. If the

number of illiterates in the village is 770, then the

number of literates is

(A) 630 (B) 360 (C) 650 (D) 600

104. By selling Shyams house for`600000 instead of `650000

the loss per cent increased by another 5%. The cost

price of Shyams house is

(A) `1050000 (B) `100000

(C) 1001000 (D) `1000000

105. Ramesh deposited `2458.50 in a bank which offered

him simple interest at the rate of 10% per annum. In

how much time would Ramesh receive double the

deposited money?

(A) 5 years (B) 8 years (C) 15 years (D) 10 years

106. If the sum of `60000 is deposited for three years at the

rate of 20% compounded quarterly, then the interest

will be

(A) `9457.50 (B) 60000(C)`6957.50 (D) `6547.50

107. A train is 600 metres long. When the speed of the train

is 90 kmph it crosses the platform in2

11 minutes. The

length of the platform is

(A) 1600 metres (B) 1700 metres

(C) 1650 metres (D) 1730 metres

108. A car covers a distance of 660 metres in 30 rotations.

The diameter of the wheel is

(A) 3.5 metres (B) 5 metres

(C) 7 metres (D) 6 metres

109. The length of a rectangular field is 30 metres morethan its breadth. If its perimeter is 240 metres, then its

area will be

(A) 3375 m2 (B) 3300 m2 (C) 3350 m2 (D) 3370 m2

110. A rectangular room measures 20m 12m 10m. If it is

completely filled by 4000 similar wooden boxes whose

length is 50 cm and breadth is 30 cm, then the height

of the boxes is

(A) 50 cm (B) 600 cm (C) 400 cm (D) 450 cm

111. If the angular diameter of the sun is 120

, how far from

the observers eye will a circular desk of diameter 66

cm be placed to hide the sun?

(A) 29 metres (B) 27 metres

(C) 28 metres (D) 28.35 metres

112. If 13 sin = 12, then the value ofseccot

seccot7is

(A)81

15(B)

181

35(C)

181

19(D)

81

19

113. If 522 tan = 10 sec , where 0 < < 90, then

the value of 22 5 tan is


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(A) 6 (B) 7 (C) 5 (D) 3

114. If a tan3 b sec3 = sec . tan and a tan b sec

= 0 then the value of a2 b2is

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

115. From an aeroplane vertically above a straight road the

angles of depression of two stones on opposite sidesat a distance x and y respectively from the foot of

vertical line joining the aeroplane to the ground are

complementary, then the height of the aeroplane is

(A) yx (B) xy (C) xy (D) xy

116. The simplified value of

3

2

4

15

5

3

4

13

2

14

5

10

7

2

22

})2187{(

)9(})27{(

)14.0()72.39()14.0(

2])43.16()43.23[(

is

(A)9

110 (B)

9

111 (C)

10

19 (D) 1

117. If x =75

1402

, then the value of

28x

28x

20x

20x

is

(A) 1 (B)32

(C) 0 (D) 2

118. Ifx

y

y

x= 5, then the value of 3

3

3

3

x

y

y

x is

(A) 1 (B) 2925 (C) 2926 (D) 0

119. If x y = 7, y z = 9 and z x = 12, then the value of

)zyx(

xyz3zyx 333

is

(A) 135 (B) 137 (C) 139 (D) 141

120. If 5x +x4

5 7 = 0 then the value of 8x3+

3x8

1 13 is

(A)125

69(B) 1 (C)

125

1(D)

125

89

121. In what ratio will the line 2x + 3y 10 = 0 divide the line

segment joining the points (2, 1) and (6, 3)?

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

122. In XY plane, A and B are two points having co-

ordinates (3, 1) and (9, 1) respectively, then the area of

the circle with diameter taken as diagonal of the square

formed by side AB is

(A) 16 sq units (B)18 sq units

(C) 20 sq units (D) 22 sq units

123. If the 10th term of an arithmetic progression is25

1

and the 25th term is10

1, then the first term is

(A)125

1(B)

300

1(C)

250

1(D)

500

1

124. In the given figure PO, QO and RO are the bisectors of

angles P, Q and R respectively. If PRO = 35,

then the measurment of angle POQ is

(A) 120 (B) 130 (C) 125 (D) 150

125. The perimeter of two similar triangles ABC and PQR

are 66 cm and 45 cm respectively. If the side BC of

ABC is 22 cm, then the side QR is

(A) 10 cm (B) 12 cm (C) 20 cm (D) 15 cm

126. In a regular polygon, if each of its internal angles equals

to9

5times of three right angles, then the number of

sides is(A) 12 (B) 15 (C) 10 (D) 20

127. Two circles of radii 16 cm and 1 cm respectively touch

each other externally at a point and a common tangent

touches them at point A and B respectively. Then the

area of the circle with diameter AB is

(A) 14

cm2 (B) 12

cm2 (C) 16

cm2 (D) 20

cm2

128. The area of a circle is 169 sq metres. A square is

formed in such a way that the length of its diagonal is

13

1times the diameter of the circle. Then, the area of

the square so formed is

(A) 30 m2 (B) 26 m2 (C) 25 m2 (D) 50 m2

129. The radii of two cones are 5 cm and 8 cm. If the heights

of these cones are 12 cm and 15 cm respectively, then

the ratio of total surface areas of the cones is

(A) 256 : 125 (B) 1 : 256 (C) 256 : 1 (D) 125 : 256

130. Three spherical balls of radii 6 cm, 7 cm and 8 cm are

melted to form a single solid cube. If in this process

the loss of material is 10%, then the edge of the cube

is (calculate approximate value)


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(A) 14.92 cm (B) 18.90 cm

(C) 15.92 cm (D) 17.82 cm

131. The third proportional ofa

b

3

2 2

and 2b3a2

is(A) 2a (B) a (C) 3a (D) 4a

132. PQRS is a cyclic quadrilateral. PQ and SR are produced

to meet at T. PT is again produced to O. If PST = 105

and QRT = 35 then the value of RTO is

(A) 140 (B) 160 (C) 150 (D) 130

133. If x =313

313

and y =313

313

, then the value of

22

22

yxyx

yxyx

is

(A)60

61(B)

60

59(C)

59

60(D)

61

60

134. Ifbyax

z

axcz

y

czby

x 222

= 2, then the value of

c2z

c

b2y

b

a2z

a

is

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

1

135. If x + y = 7 and x2+ y2= 25, then the ratio of x to y is

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

136. If x +ax

1

= 0, then the value of (x + a)3+ 3)ax(

1

is

(A) a (a + 3 ) (B) a (a 3 ) (a + 3 )

(C) a (a 3 ) (a + 3 ) (D) a (a 3 )

137. If 2 sin 2

13=

b

xa22

+ 22xa

b, then the value of

ax

b

b

axis

(A) 1 (B)2

1(C) 0 (D) 1

138. The numerical value of

18cot.72cot.55cot.60cot.35cot

51tan.73tan.45tan.39tan.17tanis

(A)2

(B) 1 (C)3

1(D)

3139. A person of height 175 cm is walking away from the

base of a lamp post at a speed of 2 m/s. If the lamp is

6.75 metres above the ground, then the ratio of the

length of the shadow to the height of the man after 5

seconds, is

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

140. The ratio of the length of each equal side to the third

side of an isosceles triangle is 5 : 8. If the area of the

triangle is 588 sq cm then the third side is

(A) 65 cm (B) 50 cm (C) 56 cm (D) 54 cm

141. 12 litres is drawn from a cask full of wine and is then

filled with water. This operation is performed two more

times. The ratio of the quantity of wine now left in the

cask to that of water is 125 : 387. How much wine did

the cask hold originally?

(A) 30 litres (B) 35 litres (C) 32 litres (D) 25 litres

142. The diagonals AC and BD of a parallelogram ABCD

intersect at point O such that DAC = 50, and AOB

= 120. Then DBC is

(A) 70 (B) 80 (C) 60 (D) 50

143. The area of quadrilateral ABCD in the given figure is

(A) 300 cm2 (B) 306 cm2

(C) 296 cm2 (D) 310 cm2

144. If log10

2 = 0.3010 and (10000)x= 256, then x equals to

(A) 0.1550 (B) 0.9030 (C) 0.3010 (D) 0.6020

145. Ram and Shyam working separately can do a piece of

work in 15 and 18 days respectively. If they work one

day at a time alternately beginning with Ram, in how

many days will the work be completed?

(A) 2

116

days (B) 5

116

days

(C)3

116 days (D)

4

116 days

Directions (146-150): The following pie-chart shows

the monthly expenditure of Dr Shukla on different items.

His monthly income is equal every month and his annual

income is `576000.


9/18

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Travelling30%

Food

10%

Cloths

5%

Education

20%

Savings

19%

Electricity

10%

Water

1%

Medical

5%

146. How much does Dr Shukla pay on Education?

(A) `9760 (B) `9850 (C) `9800 (D) `9600

147. What is the sum of money he spent on Food and

Water?

(A) `5200 (B) `5280 (C) `5300 (D) `5260

148. What is the angle shown by the difference betweenthe expenditure on Travelling and the expenditure on

Clothes?

(A) 90 (B) 120 (C) 60 (D) 100

149. What is his monthly Savings?

(A) `9100 (B) `9000 (C) `9110 (D) `9120

150. If the salary is raised to `10000 per month and

distribution on various items remains the same, then

how much does he spend on Travelling and Medical?

(A) `30300 (B) 20030 (C) `20400 (D) 20300

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. Honda appointed a woman to its board for first time

(A)

and gave major promotion to a foreigner to change

(B)

perceptions of a hidebound corporate culture. No error

(C) (D)

152. An emerging private bank was looking after to connect(A) (B)

more than 300 of its existing and upcoming branches

(C)

across India. No error

(D)

153. Nothing can help you understanding India better than

(A) (B)

travelling on the campaign trail. No error

(C) (D)

154. A birds-eye view of Modis campaign reveals a spiders

(A) (B)

web stretched on several Indian cities. No error

(C) (D)

155. Much of the good work done in the first five years

(A)

was undone because of policy paralysis, corruption,

(B)

falling investment and high inflation in the next five.

(C)

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. The government of the Philippines struck a ________peace deal with the Moro Islamic Liberation Front in

the south of the country.

(A) leaping (B) breakthrough

(C) breaking (D) break-even

157. The Defence Research and Development Organisation

develops ________ from battle tanks, missiles and

the Light Combat Aircraft to massive bridge-laying

machines and hundreds of other products.

(A) something (B) nothing

(C) thing (D) everything

158. One report ________ that 37 Coloradans died of

marijuana overdoses on the first day of legalisation.

(A) claimed (B) insisted (C) declared (D) solicited

159. In July 2012, the treasury committee of Britains House

of Commons summoned the boss of Barclays, Bob

Diamond, to face the ________ .

(A) melody (B) rock

(C) music (D) opera

160. In Russia, university syllabuses still ignore feminist

________ on culture of philosophy.

(A) relativity (B) perspectives

(C) panorama (D) objectivity

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. Convene

(A) comfort (B) contempt

(C) condemn (D) assembly

162. Snoop

(A) obscure (B) detective

(C) outflow (D) repeat

163. Fecund


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(A) sterile (B) alliance

(C) productive (D) weak

164. Natty

(A) smart (B) perverse

(C) ordinary (D) filthy

165. Yen

(A) zeal (B) apex

(C) appetite (D) desire

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. Bounty

(A) donation (B) gratuity

(C) penalty (D) cheerful

167. Countermand

(A) reverse (B) enforce

(C) attack (D) rescind

168. Prop

(A) aid (B) assistance(C) oblong (D) hindrance

169. Demote

(A) elevate (B) dismiss

(C) lower (D) degrade

170. Trifle

(A) nothing (B) tricky

(C) lot (D) useful

Directions: 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. Modi was trying to woo a state he was in completecontrolby dint ofhis development work.

(A) by way of (B) because of

(C) despite (D) for

172. Whoever decides to take up the gauntlet an d

challenge the minister will have a tough battle.

(A) yield (B) surrender

(C) uphold (D) accept the challenge

173. City economistspour cold water onthe idea that the

economic recovery has begun.

(A) criticize (B) accept very easily

(C) have no idea (D) have low spirit

174. They will be cutting through the competition like a

hot knife through butter.(A) with much difficulty (B) very easily

(C) by paying heavily (D) in adverse situation

175. Will you justknock it off !

(A) start (B) throw away

(C) stop (D) hit forcibly

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. One of the priority areas for the Chief Minister has

been to change the image of UP not safe for women.

(A) to be not safe for the sake of women

(B) being safe for women

(C) as being not safe for women

(D) No improvement

177. In a dramatic move, the AAP govt in Delhi directed its

anti-corruption branch to file a FIR at Mukesh Ambani,

chief of Reliance Industries Limited.

(A) to file an FIR against (B) to file the FIR over

(C) for filing FIR on (D) No improvement

178. After its heady success in t he Delhi Assembly

election, the AAP is eying Maharashtra and Haryana.

(A) Ahead of success (B) Heading the success

(C) Success of heading (D) No improvement

179. Though there is no deny the necessity of flushing outthe militants from the temple complex for killing

innocent people, the method adopted for this purpose

remains a black spot.

(A) There is no denial though

(B) Though there is no denying

(C) No denying is there though

(D) No improvement

180. Politicians have been blamed always in India for the

countrys sagging self-confidence that often

accompanies a difficult economic and social transition.

(A) have always blamed

(B) always have blamed being

(C) have always been blamed(D) No improvement

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

four alternatives, choose the one which can be substituted

for the given words/sentence.

181. An amount of money that is given to someone in

return for providing help in a secret and dishonest

business deal

(A) Levy (B) Bucks

(C) Donation (D) Kickback

182. Outlines or outer edges of something

(A) Paraphrase (B) Contours

(C) Briefing (D) Encircle

183. Opinions or beliefs of the majority(A) Vox populi (B) Faith

(C) Notion (D) Conviction

184. Person whose job involves doing many different types

of work

(A) Vagabond (B) Mascot

(C) Factotum (D) Baron

185. Result obtained by dividing one quantity by another

(A) Fraction (B) Quotient

(C) Lump sum (D) Ratio


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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.

186. (A) etiquette (B) ettiquet

(C) etiquet (D) ettiquett

187. (A) blizard (B) blizzard

(C) blijard (D) bliezard

188. (A) vignette (B) vignet

(C) veengate (D) vingette

189. (A) couldron (B) caldron

(C) couldrone (D) cauldron

190. (A) perepeteae (B) peripetiea

(C) peripeteia (D) prepeteia

PASSAGE I (Question Nos. 191 to 195)

Indias pantheon of nationalism is populated by a

number of static ideas: anti-colonialism, anti-imperialism,

socialism and populist economicsa laAam Aadmi Party.Given our changing world, these ideas have led to Indias

isolation within an otherwise admiring international

community. Pakistans nationalism is based on anti-

Indianism plus recent anti-Americanism because

America is tilting to rascally India. Pakistan is

internationally isolated because of this obsessive

worldview.

Some Pakistanis blame the state for being non-

pragmatic, sacrificing prosperity at the altar of its India

disease, while in economic terms it is more realistic

than India because of its pursuit of free market and IMF

structural goals. Political leaders in India are rendered weak

because of the breakup of Indias bipartisan systemorsomething resembling it, after the rise of the BJP. Now

the focus is scattered and people vote for those who will

give them welfare at the cost of budget deficits. The

consensus in India is Kerala-model-based, not Gujarat-

model-based.

Anti-colonialism, however, is flourishing in subaltern

studies while Indian foreign policy is doing cool business

with old colonisers and new imperialists. Some of its anti-

globalisation policies that look like protectionism

posturing as pro-poor trade-barricading against global

exploitation are based on an interpretation of global

capital that even post-Keynesian Amartya Sen will not buy

and globalist Jagdish Bhagwati will abominate.191. Why has Pakistan become anti-American? Give your

answer in the context of the passage.

(A) Because a few years back America killed terror

mastermind Osama Bin Laden in Pakistans

Abbotbabad which, brought a lot of humiliation

for Pakistan

(B) Because America is showing its inclination

towards Pakistans enemy, India

(C) Because America has lambasted Pakistan on

several occasions on the issue of terrorism

(D) Because America has cheated Pakistan in the

name of friendship.

192. What h as been the rep ercussion of Ind ias

conservative idea about nationalism?

(A) Not all but some countries have appreciated its

ideas.

(B) Many countries have become hostile towards

India.

(C) India has become an isolated country within

international community.

(D) All the above

193. Which of the following is/are the chief characteristic(s)

of Pakistans nationalism?

(A) Pakistans nationalism supports terrorism.

(B) Pakistans nationalism is based on anti-Indianism

as well as anti-Americanism.

(C) Pakistans nationalism is based on the theory of

unity, sovereignty and international brotherhood.(D) All the above

194. Which of the following is not true in the context of the

given passage?

(A) According to some Pakistanis, Pakistans

economy is more realistic than Indias economy.

(B) Political leaders in India are rendered weak because

of the break up of Indias bipartisan system.

(C) The consensus in India is Kerala-model-based.

(D) None of these

195. What is the meaning of the phrase a la as used in the

passage?

(A) In the same way

(B) Different from something(C) Recent development

(D) Much disliked

PASSAGE II (Question Nos. 196 to 200)

The recently released Employment and

Unemployment Situation in India report of the NSS 68th

round (2011-12) highlights some sobering facts. Labour

force participation rate decreased for rural males by 1 per

cent between 1993-94 and 2011-12 and increased by a

meagre 2 per cent for urban males. Womens participation

rates declined across both rural and urban areas. Given the

increase in Indias working-age population, these trends

are disquieting. India adds one million people to its

working-age population each month. Its demographicadvantage can make it an economic powerhouse, but only

if employment growth can be revived. Given that the

unemployment rate among the youth (15 to 29 years) is

significantly higher 5 and 8 per cent for rural and urban

males respectively than the overall rate, and

unemployment among educated youth 8.1 and 11.7

per cent for rural and urban males respectively is even

higher, slow employment growth is a matter of grave

concern. It will be one of the biggest challenges for the


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K

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next government.

While the need for labour law reform is widely

acknowledged, even though it continues to be stalledby

the lack of political will, other road blocks to employment

generation that lie in areas such as infrastructure, finance

and the myriad interactions of the state with firms are not

yet fully understood, much less addressed. The growth of

firms translates into the growth of employment in an

economy, and not just of large manufacturing firms. Millions

of small and medium-sized firms across the country need

to be encouraged to grow, to be part of the organised

sector, access formal finance and adopt modern

technologies.

Power, water, roads, ports and airports are all of vital

importance to the growth of firms. Without the means to

access markets, trade and commerce will not be able to

thrive. Similarly, without access to finance, businesses

cannot get working capital or ramp up investment.

196. Which of the following statements is not true in thecontext of the given passage?

(A) Labour force participation rate of rural males

decreased by 1 per cent during 1993-2011.

(B) A slight increase in urban males labour force

participation was reported during 1993-2011.

(C) Womens participation registered a growth across

both rural and urban areas.

(D) One million working-age population is added to

Indias population every month.

197. How can Indias demographic advantage make it an

economic powerhouse?

(A) Only if employment growth can be refreshed

(B) Only if working-age population is imparted proper

training required for doing job

(C) Only if financial assistance is provided to working-

age population

(D) All the above

198. What is/are the hurdles in the way of employment

generation?

(A) Inappropriate labour laws

(B) Lack of infrastructure and finance

(C) Lack of political will

(D) All the above

199. What is the indirect benefit if a firm grows?

(A) It generates revenue for the firm owner.

(B) It generates employment opportunity.(C) It helps medium-sized firms.

(D) None of these

200. What is the meaning of the word stalled as used in

the given passage?

(A) expedited (B) released

(C) hampered (D) assisted


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Answers1.C; The pattern is as follows: vowels move

three places backward while consonants

move four places forward.

Similarly,

2.B;

Similarly,

3.A; 8 2 + 36 6 2

After interchange of sign:

8 2 + 36 6 2

= 16 + 6 2

= 22 2 = 20

4.D; 42 14 5 2 17

or, 42 14 5 + 2 = 17

or, 3 5 + 2 = 17

or, 15 + 2 = 17

5.C;100

35720

100

65250

= 162.5 + 252.0 = 414.5

6.C; 11 is a prime number.

7. C; Except C, the digit-sum of the first

number is equal to the digit-sum of the

second.

8. D; Except D, the sum of the numbers if

converted into single digit, is equal to 2.

9. A; Except A, the rest are in reverse

alphabetical order

10. D;

11. B; Except B, all other words contain the

vowel A in the middle.

12. C; Except C, all others are juicy fruits.

13.A; River is a flowing water body while

others are not.

14.B; Both are synonyms.

15.B; The first is the national animal of the

second.

16 .C; The sellers four Ps correspond to

the customers four Cs.

17. C; The first flows through the second.

18. D; Each letter in the second group has

double the position in the alphabet than that

of the corresponding letter in the first group.

19. A;

20.B; The pattern is x : x3 x2

So, 7 : 73 72= 7 : 294

Similarly, 9 : 93 92= 9 : 648

21. C; MNON/MNON/MNON/MNON/MN

22. D;

23. B;

24. A;

25. C;

8 + 7 + 8 (9 + 4 + 6) = 4 (Middle number)

= 23 19 = 4

Similary, 4 + 8 + 7 (4 + 7 + 6) = 2

= 19 17 = 2 (middle numbers)

26.C; (8 + 6 + 3) 3 5

= 17 3 5 = 51 5 = 46

Similarly, (7 + 2 + 5) 3 2

= 14 3 2 = 42 2 = 40

So, (4 + 9 + 5) 3 3

18 3 3 = 54 3 = 51

27.A; The pattern is 8 5 = 40, and 8 + 5

= 13.

Similarly, 12 3 = 36 and 12 + 3 = 15.

So, 6 5 = 30

And 6 + 5 = 11

28.B; 5 3 + 1 = 16, 5 16 + 1 = 81,

5 81 + 1 = 406, so, 5 406 + 1 = 2031

29. D; The given series is a combination of

two series.

Series I.12 1 = 0, 32 1 = 8, 52 1 = 24

Series II.22 2 = 2, 42 2 = 14, 62 2 = 34

30.A;

DP = AP AD

(AD = BC = 15m)

= AP BC = 25 15 = 10m

31. B;

Hence, north will be called northwest.

32.C;

33. A;

34.A; Two Rs are not there in the keyword.

35. C; There is no N in the keyword.

36.D;

37. B38.D; No key is a box (E) + No box is a lock

(E) = E + E = No conclusion. Hence, neither

conclusion I nor II follows.

39.B; All blocks are toys (A) + All stars are

toys conversion Some toys are stars

(I) = No conclusion. Hence, conclusion I does

not follow.

Again, All stars are toys conversion

Some toys are stars. Hence, conclusion II

follows.

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

45. A 46. D 47. A

48.D; Q > M > P ... (i)

and Q > N ... (ii)


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K

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Hence, either N or P is the leanest person in

the group.

49.C; S 55, 66, 77, 89, 96

O 03, 11, 22, 30, 44

F 00, 12, 24, 31, 43

T 59, 68, 76, 87, 95

SOFT 77, 33, 31, 87

50.D; B 58, 69, 75, 88, 99O 03, 11, 22, 30, 44

N 02, 14, 21, 33, 40

E 56, 67, 78, 85, 97

BONE 69, 22, 14, 56

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

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

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

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

71. C 72. A 73. B 74. B 75. C

76. B 77. B 78. C 79. C 80. A

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

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

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

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

101. B; Let Rameshs age be x years and

Sureshs age be y years.Now, 10 years ago, Rameshs age = x 10

Sureshs age = y 10

So, x 10 = 6(y 10)

or, x 10 = 6y 60

or, x 6y = 50 ... (i)

6 years from now, Rameshs age = x + 6

Sureshs age = y + 6

So, x + 6 = 2(y + 6)

or, x + 6 = 2y + 12

or, x 2y = 6 ... (ii)

Solving (i) and (ii), we get

x = 34 years

And y = 14 years

Ratio of Sureshs age to Rameshs age 4

years ago =434414 =

3010 =

31

Reqd ratio = 1 : 3

102. C; If 6a is the income of family P

then, a62

1 = 3a is the savings of P..

Again, the expenditure of P is 5b

Then, 6a 5b = 3a

or, 6a 3a = 5b

or, 3a = 5b

or, b =5

a3... (i)

Again, savings of B = 8a 8b

Putting the value of b in it from (i),

= 8a 8 5

a3= 8a

5

a24

=5

a24a40=

5

a16

Similary, savings of C = 11a 10b

= 11a 10 5

a3= 11a 6a = 5a

Their savings ratio is

3a :5

a16: 5a = 15 : 16 : 25

Hence, ratio = 15 : 16 : 25

103.A; Let the population of the village be x.

And population of illiterates = 770

Then, 770 =100

x55

or, x =

55

100770

x = 1400

Number of literates = 1400 770 = 630

104.D; Loss in selling = 650000 600000

= `50000

So, 50000 =100

5CP

CP =5

5000000

Hence, CP = `1000000

105. D; P = 2458.50, R = 10%,

SI = 2 24.58.50 2458.50 = 2458.50,

T = ?

Now, SI = 100

TRP

or, 2458.50 =100

T1050.2458

T =1050.2458

10050.2458

= 10

Hence, T = 10 years

106.A; P = 60000, T =4

3 years

R = 20%

R =4

20= 5% quarterly

Now, A =t4

100

r1P

=

34

34

20

2160000

100

5160000

=20

21

20

21

20

2160000 = 69457.50

CI = A P = 69457.50 60000

= `9457.50

107.C; Let the length of the platform be x

metres. Total distance covered by the train

= x + 600 metres.

Speed of the train = 90 kmph

=6060

100090

= 25 m/s

Now, Speed =Time

Distance

( Time = 60 + 30 = 90 seconds)

or, 25 =90

600x

or, 2250 = x + 600

or, x = 2250 600

or, x = 1650 metres

108.C; Circumference = distance covered in

one rotation =30

660 = 22 metres

Now, 2 r = 22

r =

2

22=

222

722

=

2

7

Diameter = 2r = 2 2

7= 7 metres

109.A; Let the breadth be x metres.

Then, length = (x + 30) metres

Perimeter of the rectangular field

= 2(l b) = 240

or, 2(x + x + 30) = 240

or, 2x + 30 = 120

or, 2x = 90

or, x = 45 metres

Then, breadth = 45 metres

And length = 75 metres

Area = 45 75 = 3375m2

110.C; Volume of the room = 20 12 10

= 2400m3

Now, volume of one wooden box =4000

2400

= 0.6m3

So, 0.5 0.3 h = 0.6

h =15

60

15.0

6.0

3.05.0

6.0 = 4m

= 400 cm

111.D; Arc PQ = diameter = 66 cm

Angle = 1 20

=

60

80 =

3

4

=1803

4 =

135

radian

Angle =Radius

Arc

or, 135

= r

66

r =13566

=22

13566 7

= 2835 cm = 28.35 metres

112.C;


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K

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13sin = 12

sin

=13

12=

Hypotenuse

larPerpendicu

Base = 22 1213 = 144169

= 25 = 5

Now, cot

=12

5, sec

=5

13

So,seccot

seccot7

5

13

12

55

13

12

35

5

13

12

55

13

12

57

181

19

60

1562560

156175

113.A; 22 + 5 tan = 10 sec ... (i)

Now, 22 5 tan = x (Let) ... (ii)

Squaring and adding eqn (i) and (ii), we get

8 + 5 tan2 + 104 tan + 8 + 5tan2

104 tan = 10 sec2 + x2

or, 16 + 10 tan2 = 10 sec2 + x2

or, 16 = 10(sec2

tan2

) + x2

or, 16 = 10 + x2

or, 16 10 = x2

x2= 6

or, x = 6

Hence, x = 6

114.C; a tan3 b sec3 = sec .tan

or, a tan3 b sec .sec2 = sec .tan

or, a tan3 a tan .sec2 = sec .tan

( a tan = b sec )

or, a tan (tan2 sec2 ) = sec .tan

or, a tan = sec .tan

or, a = sec

But, a tan = b sec

or, sec .tan = b sec

b = tan

Then, a2 b2= sec2 tan2 = 1

115. B;

Let, at any moment, the aeroplane be at

position D. Also, let A and B be the stones on

the ground. Then PDA = and QDB

= (90 )

Also, DAC = and DBC = 90

Now, in DCA,

tan =x

h... (i)

In DCB,

tan(90 ) = y

h

or, cot =y

h... (ii)

From (i) and (ii),

tan .cot =x

h.

y

h

or, 1 =xy

h2

or, h2 = xy

h = xy

116.A;

3

2

21

15

5

3

4

13

2

14

5

10

7

2

22

)2187(

)9()27(

)14.0()72.39()14.0(

]2)43.16()43.23[(

3

2

21

15

5

37

4

23

2

14

5

10

73

2

)3(

)3()3(

)72.3914.0)(14.0(

2)43.1643.23)(43.1643.23(

=2

1

3

2

21

15

5

37

3

2

14

5

10

73

3

3

3

)86.39)(14.0(

2786.39

=9

3

1003

33

14

1400 2

1

2

1

2

2

1

2

1

= 10 +9

30= 10 +

9

1=

9

110

117.D; x =75

1402

or, x =75

7202

or,20

x=

75

72

By applying componendo-dividendo on both

sides, we get

20x

20x

= 7572

7572

=57

573

... (i)

Again, x =75

2852

or,28

x=

75

52

Again, applying componendo-dividendo on

both sides, we get

7552

7552

28x

28x

= 75

753

...(ii)

Now, adding (i) and (ii), we get

28x

28x

20x

20x

=57

753573

=57

)57(2= 2

118. C; 5x

y

y

x

x

y

y

x4

x

y

y

x

x

y

y

x2

ab4)ba(ba 2

= 4)5( 2

= 425

29x

y

y

x

Now, taking cube of both sides

33

29

x

y

y

x

or, 2929x

y

y

x

x

y

y

x3

x

y

y

x

3

3

3

3

or, 2929293x

y

y

x

3

3

3

3

or, 2926x

y

y

x

3

3

3

3


16/18

K

KUNDAN

119. B; We know that

x3 + y3+ z3 3xyz = (x + y + z) (x 2+ y2+ z2

xy yz zx)

=2

1(x + y + z) (2x2+ 2y2+ 2z2 2xy 2yz

2zx)

=2

1(x + y + z) ((x y)2+ (y z)2+ (z x)2)

Then,zyx

xyz3zyx 333

)zyx(

))xz()zy()yx)((zyx(2

1 222

=222 )xz()zy()yx(

2

1

=

222

12972

1

=

222

12972

1

=2

274= 137

120. A; 5x +x4

5 7 = 0

or, 5x +x4

5= 7

or, x +x4

1=

5

7

or, 2x +

x4

2=

5

14

or, 2x +x2

1=

5

14

Taking cube of both sides, we get

33

5

14

x2

1x2

125

2744

x2

1x2

x2

1x23

x8

1x8,or

3

3

or,125

2744

5

143

x8

1x8

3

3

or,125

10502744

5

42

125

2744

x8

1x8

3

3

or,125

1694

x8

1x8

33

Then, 13125

169413

x8

1x8

33

=125

16251694=

125

69

121.C;

Let the ratio be k : 1. Then

x =1k

2k6

and y =1k

1k3

Putting the value in 2x + 3y 10 = 0, we get

1k

)1k3(3

1k

)2k6(2

= 10

or, 101k

3k94k12

or, 21k 1 = 10k + 10

or, 11k = 11

or, k = 1 Ratio = 1 : 1

122.B;

AB = 222 6)11()39(

= 6 units

Diagonal of square of side AB is 62

Then radius of circle = 23 units

Area of the circle = r2

= ( 23 )2= 18

sq units

123.C; nth term of an arithmetic progression

Tn= a + (n 1)d

So, T10

=25

1and T

25=

10

1

Now, a + (10 1) d =251

or, a + 9d =25

1... (i)

And T25

=10

1

or, a + (25 1) d =10

1

or, a + 24d =10

1... (ii)

Solving (i) and (ii), we get

10

1

25

1d15

10

1d24a

251d9a

or, 15d =50

52

or, 15d =50

3

or, d =250

1

Putting the value of d in (i), we get

a +250

9=

25

1

or, a =25

1

250

9=

250

910=

250

1

or, a =250

1

124.C

PRO = 35

Then, PRQ = 35 2 = 70

In PQR

P + Q + R = 180

or, P + Q + 70 = 180

or, P + Q = 180 70 = 110

or,2

1( P + Q) = 55

In POQ

2

1( P + Q) + POQ = 180

or, 55 + POQ = 180

or, POQ = 180 55

or, POQ = 125

125. D;

ABC and PQR are similar triangles

Then,PQ

AB=

QR

BC=

PR

AC=

PRQRPQ

ACBCAB

or,QR

22=

45

66

or, QR =66

4522

QR = 15 cm126. A; Each internal angle of a regular

polygon = 3 90 9

5= 150

Again, each internal angle of a regular

polygon of n sides is

n

4n2 90 = 150

or, 6n 12 = 5n

or, n = 12


17/18

K

KUNDAN

127.C;

Sum of radii = 16 + 1 = 17 cmAnd difference of radii = 16 1 = 15 cm

Then, AB = 22 )15()17( = 225289

= 64 = 8

Diameter = AB = 8 cm

Radius = 4 cm

Hence, area of circle = r2= 42= 16 cm2

128. B; Area of circle = r2

or, 16 = r2

r2 = 169

r = 13 metres

Diameter = 2r = 26 metres

Length of the square =1326

So, area of the square =2)diagonal(

2

1

=

2

13

26

2

1

= 2613

26

2

1 = 26m2

129. D; Total surface area of a cone

= r(l + r)

Then total surface area of the 1st cone

= 5 (13 + 12) = 125

Total surface area of the 2nd cone

= 8 (15 + 17) = 32 8

= 256

Ratio =256

125= 125 : 256

130.C; Total volume =3

4

(r13+ r

23+ r

33).

=3

4 (63+ 73+ 83) =

3

4 (216 + 343 + 512)

=3

4

7

22 1071 = 4488 cm3

Now, volume of the cube = 90% of the total

volume

or, a3=100

448890

a = 15.92 cm (approx)

131.C; Third proportional of x and y isx

y2

So, the third proportional of a

b

3

2 2

and 2b3a2

a3

a3

b3a2

b3a2

a

b

3

2

b3a2

2

2

2

22

132.A;

Given PST = 105 and QRT = 35

So, SRQ = 180 35 = 145

Now, SRQ + SPQ = 180

(Cyclic quadrilateral)

SPQ = 180 145

or, SPQ = 35

In SPT

S + P + STP = 180

or, 105 + 35 + STP = 180or, STP = 180 140 = 40

So, RTO = 180 40 = 140

133.B;)313(

)313(

)313(

)313(

)313(

)313(x

2

13311

4

13622

913

136913

Similarly,

y =)313(

)313(

)313(

)313(

)313(

)313(

=913

136913 =

4

13622

=2

13311

Then, x2+ y2=

22

2

13311

2

13311

4

133112117121133112117121

=4

238238 = 119

2

238

And xy =2

)13311(

2

)13311(

= 144

4117121

So,120

118

1119

1119

yxyx

yxyx

22

22

=60

59

134.D; 2byax

z

axcz

y

czby

x 222

Then, 2czby

x2

or, x2= 2(by + cz)

Now, x2+ 2ax = 2by + 2cz + 2ax

or, x + 2a =x

ax2cz2by2

or,ax

ax2cz2by2

a

a2x

or, ax2cz2by2

ax

a2x

a

Similarly, b2y

b

= cz2by2ax2

by

Andcz2by2ax2

cz

c2z

c

So, c2z

c

b2y

b

a2x

a

=)czbyax(2

czbyax

=2

1

135.A; x + y = 7 ... (i)

x2+ y2= 25 ... (ii)

Squaring both sides of (i), we get

x2+ y2+ 2xy = 49

or, 25 + 2xy= 49

or, 2xy = 49 25 = 24

xy = 12

Again, (x y)2 = (x + y)2 4xy

= 49 4 12

or, (x y)2= 1

x y = 1 ... (iii)

Solving (i) and (iii), we get

x = 4, y = 3

Then the ratio = 4 : 3

136.C; x +ax

1

= 0

Adding a to both sides, we get

x + a +ax

1

= a

Again, taking cube of both sides,

(x + a)3+3

3aa3

)ax(

1

or, (x + a)3+ 3)ax(

1

= a 3 3a

= a(a2 3) = a(a 3 ) (a + 3 )

137.C; 22

22

xa

b

b

xa = 2 sin

2

13

= 2sin(6

+2

)

= 2sin2

= 2


18/18

K

KUNDAN

Then,

2

ax

b

b

ax

=ax

b

b

ax2

xa

b

b

xa

22

22

= 2 2 = 0

Hence, 0ax

b

b

ax

138.D;18cot.72cot.55cot.60cot.35cot

51tan.73tan.45tan.39tan.17tan

)7290cot(.72cot).3590cot(.60cot.35cot

)3990tan().1790tan(.45tan.39tan.17tan

72tan.72cot.35tan.60cot.35cot

39cot.17cot.45tan.39tan.17tan

=

60cot

45tan= 3

3

1

1

139.A;

From the figure, ABE and CDE are

similar.

Then,DE

AE

CD

AB

Distance covered in 5 seconds = 5 2 = 10m

x

x10

75.1

75.6

or, 6.75x = 17.5 + 1.75x

or, x =5

5.17= 3.5 metres

Ratio =175

350= 2 : 1

140.C; Let the sides be 5x, 5x and 8x.

Semi-perimeter =2

x8x5x5 =

2

x18= 9x

Then, the area of = )cs)(bs)(as(s

or, 588 = )x8x9)(x5x9)(x5x9(x9

or, 588 = x)x4()x4(x9

or, 588 = 12x2

x2=12

588

or, x2= 49

x = 7

Third side = 8x = 8 7 = 56 cm

141. C; Let the quantity of wine in the cask

be x litres originally.

Then, the quantity of wine left in the cask

after 3 operations =

3

x

121x

litres

So,

512

125

x

x

121x

3

or,

33

8

5

x

121

or, 1 x

12=

8

5

or, 1 8

5=

x

12

or,

x

12

8

58

or,x

12

8

3

or, x = 32 litres

142.

DAC = 50

AOB = 120

Then, ACB = 50

And COB = 180 120 = 60

So, DBC = 180 (60 + 50) = 70

143.B;

BD = 22 BCDC

= 22 2129 = 441841

= 400 = 20 cm

Now, in ADB

AB = 1444001220 22

= 256 = 16 cm

Area of quadrilateral ABCD = Area of ABD

+ Area of BCD

= 20212

11216

2

1 = 96 + 210

= 306 cm2

144.D; xlog10

10000 = log10

256

or, xlog10

104= log10

28

or, 4x log10

10 = 8 log10

2

or, 4x = 8 0.3010

or, x = 2 0.3010

or, x = 0.6020

145. C; Ram and Shyams two days work

=18

1

15

1 =

90

56 =

90

11

Work done in 8 pairs of days = 90

118 = 90

88

Remaining work =90

881 =

90

2=

45

1

On 17th day, it is Rams turn.

Rams one days work =15

1

45

1work is done by Ram in 15

45

1days

=3

1days

So, total time taken = 16 + 3

1

= 3

1

16 days

146.D; Monthly income of Dr Shukla

=12

576000= `48000

Dr Shukla pays on Education =100

2048000

= `9600

147.B; Dr Shukla spends on Food and Water

=100

1148000= `5280

148.A; Percentage difference of expenditure

on Travel and Clothes = (30 5) = 25%

Then, angle =10025360

= 90

149. D; Monthly savings =100

1948000

= `9120

150. D; New salary per month = 48000 +

10000 = 58000

% expenditure of Travel and Medical = 35%

So, he spends on Travel and Medical

=100

3558000= `20300

151.B; Use the before first

152. B; Delete after

153. B; Replace understanding with

understand154. C; Replace on with across

155. D

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

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

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

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

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

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

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

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

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

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08.Practice Set SSC-CGL TIER I.pdf