2015 SP Sub Insp

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PART-A : GENERAL INTELLIGENCE & REASONING

DIRECTIONS (Qs. 1-5) : In questions below, select the related

word/letters/number from the given alternatives.

1. 9 : 24 :: ? : 6

(a) 3 (b) 2

(c) 1 (d) 5

2. hive : bee :: eyrie : ?

(a) Pigeon (b) Sparrow(c) Parrot (d) Eagle

3. STAR : RATS :: WARD : ?

(a) MICE (b) SHINE

(c) FAME (d) DRAW

4. DCBA : WXYZ :: IJKL : ?

(a) SRQP (b) QPON

(c) PONM (d) RQPO

5. DHLPTX : BFJMRV :: CGKOSW : ?

(a) AIOMUQ (b) UMQEIA

(c) IJKLMN (d) AEIMQU

6. Choose the similar group of numbers on the basis of certain

common properties they possess(31, 19, 41)

(a) (23,33,51) (b) (16,27,11)

(c) (27,29,47) (d) (29,17,37)

DIRECTIONS (Qs. 7-12) : In questions below, find the odd

number/letters/number pair form the given alternatives.

7. (a) ( 47,49 ) (b) ( 5,7 )

(c) ( 29,31 ) (d) ( 11,13 )

8. (a) Marigold (b) Lotus

(c) Tulip (d) Rose

9. (a) mmm qqq ttt (b) ccc ggg kkk

(c) kkk ooo sss (d) bbb fff jjj

10. (a) 8110 (b) 1234

(c) 9100 (d) 1189

11. (a) Brass (b) Tin

(c) Bronze (d) Steel

12. (a) TEAP (b) QIEM

(c) HIUL (d) ZOIV

13. Arrange the following according to Dictionary.

1. Fenestration 2. Feather

3. Feed head 4. Feature 5. Feminine

SSC SUB INSPECTOR

SSCSub-Inspector and Assistant Sub-Inspector Exam

Held on 21-06-2015

Time : 2 Hours Max. Marks : 200(Based on Memory)

(a) 4,2,3,1,5 (b) 2,4,3,5,1

(c) 2,4,1,5,3 (d) 4,2,3,5,1

14. Which one of the given responses would be a meaningful

order of the following?

1. Rivulet 2. Ocean 3. Tributary

4. River 5. Sea 6. Rain

(a) 6 5 3 1 2 4 (b) 5 6 1 3 2 4

(c) 6 4 1 3 5 2 (d) 6 1 3 4 5 2

DIRECTIONS (Qs. 15-16) : In questions below, which one set ofletters when sequentialy placed at the gaps in the given letter

series shall complete it?

15. LU_TUPLUBTU_LUBT_P_UBTUP

(a) LBPU (b) BPUL

(c) PBUL (d) BUPL

16. B_CCABB_CABBC_AB_CCA

(a) BCBC (b) BCCB

(c) BBCC (d) BBBC

DIRECTIONS (Qs. 17-18) : In questions below, a series is given,

with one/two term/ s missing. Choose the correct alternative

from the given ones that will complete the series.

17. 24, 35, 20, 31, 16, 27, __, __

(a) 9, 9 (b) 5, 30

(c) 8, 25 (d) 12, 23

18.1 2 5 2 2

7 , 8 , 9 ,12 ,16 , ?7 6 5 4 3

(a) 35 (b)50

2

(c)2

154

(d)4

164

19. Two persons A and B get the same salary. Their Basic payare different. The allowances are 65% and 80% of the basic

pay respectively. What is the ratio of the basic pay ?

(a) 7:5 (b) 17:15

(c) 12:11 (d) 11:10

20. A man climbing up a wall of 24 metres high, climbs 16 m on

one day but slipped back by 3m 40cms in the evening. How

far had the man reached on that day ?

(a) 12.6 m (b) 19 m 40 cm

(c) 12 m 40 cm (d) 11.4 m

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2015-2 SSC Sub-Inspector EXAM PAPER 2015

21. Two horses A and B run at a speed of 3:2 ratio in the first

lap; during the second lap the ratio differs by 4:7; during

the third lap the ratio differs by 8:9. What is the difference

in ratio of speed altogether between the two horses.

(a) 3 (b) 2

(c) 4 (d) 1

DIRECTIONS (Qs. 22-23) : In questions below, from the given

alternative words, select the word which cannot be formed using

the letters of the given word:22. ADMINISTRATION

(a) Station (b) Mind

(c) Ration (d) Minister

23. CHARACTER

(a) Tracer (b) Hearty

(c) Crate (d) Charter

24. If a represents ÷, ‘b’ represents +, ‘c’ represents – and ‘d’

represents x then 24a 6d 4b 9c 8 = ?

(a) 6 (b) 17

(c) 20 (d) 19

25. Some equations are solved on the basis of certain system.

find out the correct answer for the unsolved equation onthat basis: 7 × 6 × 4 = 674, 8 × 5 × 3 = 583, 9 × 1 × 2 = ?

(a) 727 (b) 292

(c) 192 (d) 462

26. In a language FIFTY is written as CACTY, CAR as POL,

TAR as TOL, how can TARIFF be written in that language?

(a) TOEFEL (b) TOEFDD

(c) TOLADD (d) TOLACC

27. Change the symbol and solve accordingly to find out correct

answer from the alternatives given below 9 × 8 × 7 = 24, 4 ×

7 × 3 = 14, 2 × 1 × 9 = ?

(a) 12 (b) 11

(c) 18 (d) 10

28. If GOODNESS is coded as HNPCODTR, how can

GREATNESS be written in that code?

(a) HQFZSMFRT (b) HQFZUFRTM

(c) HQFZUODTR (d) HQFZUMFRT

DIRECTIONS (Qs. 29-31) : In questions below, Select the missing

number from the given responses.

29.

(a) 53 (b) 71

(c) 76 (d) 68

30.

(a) 24 (b) 12

(c) 18 (d) 19

31.

(a) 8 (b) 7

(c) 10 (d) 9

32.

How many faces can you count in this 3 dimensional model?

(a) 18 (b) 14

(c) 12 (d) 16

33. Which of the following states the relationship between

Sociology, Psychology and Humanities ?

(a) (b)

(c) (d)

34. How many triangles are there in the following square ?

(a) 7 (b) 12

(c) 6 (d) 9

35. Keeping his back towards the rising sun, Reshma starts

walking. After a few minutes, she turns left and keeps on

walking. Then a little later she turns right and then left. In

which direction is she going at the moment?

(a) East or South (b) South or West

(c) North or South (d) West or North

36. From her home facing south west, Kavita walks 15m and

turns northward and walks 12 m. How far was she from her

home. Which was her starting point ?

(a) 12 m (b) 9 m

(c) 15 m (d) 10 m

37. Which venn diagram truly represents Teachers, Scholars

and Students ?

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

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47. Which is the correct image if the picture is held in front of a

mirror?

Question figure:

Answer figures:

(a) (b) (c) (d)48. From the given answer figures, select the one in which the

question figure is hidden/embedded.Question figure :

Answer figures:

(a) (b) (c) (d)DIRECTIONS (Qs. 49-50) : A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II arenumbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column e.g., 'E' can be represented by01, 13 etc., and 'L' can be represented by 56, 77 etc. Similarly, youhave to identify the set for the word given in each question.

49. Matrix I Matrix I

0 1 2 3 4

0 Z M G R C

1 J L D B G

2 M B C M H

3 R L N G I

4 B D M R J

5 6 7 8 9

5 X K T E S

6 Q A U X P

7 U V O W E

8 T Y A F U

9 O O E V A

L A N E(a) 11, 66, 33, 96 (b) 31, 87, 32, 97(c) 31, 66, 33, 97 (d) 11, 67, 32, 97

50. Matrix I Matrix I

0 1 2 3 40 A E M N P

1 N P A E M

2 E M N P A

3 P A E M N

4 M N P A E

5 6 7 8 95 I L R S T

6 R S T I L

7 T I L R S

8 L R S T I

9 S T I L R

A I R S(a) 12, 76, 99, 78 (b) 43, 55, 86, 95

(c) 00, 68, 78, 88 (d) 24, 69, 56, 78

PART-B : GENERAL AWARENESS

51. The forests which act as barriers against cyclones are:

(a) Evergreen forests (b) Mangrove forests

(c) Monsoon forests (d) Alpine Forest

52. A reversible and an irreversible engine are working between

the same limits of temperature. The efficiency of.

(a) The reversible engine is greater than the irreversible

engine.

(b) Each engine is 100%.

(c) The two engines are equal

(d) The irreversible engine is greater than the reversible

engine.

53. Name the Kingdom which first used elephants in wars?

(a) Avanti (b) Champa

(c) Magadha (d) Kosala

54. Which of the following is used in the treatment of cancer?

(a) Electrotherapy (b) Psychotherapy

(c) Chemotherapy (d) Physiotherapy

55. The most abundant element is :

(a) Silicon (b) Calcium

(c) Nitrogen (d) Oxygen

56. An electron microscope gives higher magnifications than

an optical microscope because :

(a) The electrons have more energy than the light

particles.

(b) The electron microscope uses more powerful lenses.

(c) The wavelength of electrons is smaller as compared

to the wavelength of visible light.

(d) The velocity of electrons is smaller than that of light.

57. RAM is used as a short memory in a computer because it.

(a) is very expensive (b) is programmable

(c) is volatile (d) has less capacity

58. Who among the following was named as “HaryanaHurricane” ?

(a) Ajay Ratsa (b) Nawab Pataudi

(c) Kapil Dev (d) Ajay Jadeja

59. The states recorganisation in 1956 created :

(a) 17 States and 6 Union Territories.

(b) 17 States and 9 Union Territories.

(c) 14 States and 6 Union Territories.

(d) 15 States and 9 Union Territories.

60. A low interest policy is also known as :

(a) investment policy

(b) income generating policy

(c) dear money policy(d) cheap money policy

61. The resources which are obtained from biosphere and have

life are :

(a) Renewable resources (b) Potential resources

(c) Biotic resources (d) Abiotic resources

62. In a solar or lunar eclipse, the region of earth’s shadow is

divided into.

(a) Four parts (b) Five parts

(c) Two parts (d) Three parts

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SSC Sub-Inspector EXAM PAPER 2015 2015-5

63. Tulsidas wrote Ramacharitamans during the reign of :

(a) Akbar (b) Krishnadeva Raya

(c) Jahangir (d) Rama Raya

64. What does the word ‘amphibian’ mean ?

(a) Two lives (b) Four lives

(c) Three lives (d) One life

65. Reservation for the Scheduled castes and Scheduled tribes

in the service has been provided in the Indian Constitution

under :(a) Article 365 (b) Article 375

(c) Article 315 (d) Article 335

66. Government of India has decided to integrate -------- with

recent launched Pradhan Mantri Krishi Sinchayee Yojana.

(a) Accelerated Irrigation Benefit Programme.

(b) Haryali.

(c) National Rural Livlihood Mission.

(d) Mahatma Gandhi National Rural Employment

Guarantee Act.

67. The largest current, because of its dark waters is known as

the “black current” and that is :

(a) California current (b) Antarctic current

(c) Gulf stream (d) kuroshio currrent

68. The founder of the ‘Arya Samaj’ was:

(a) Dayananda Saraswati (b) Raja Ram Mohan Roy

(c) Vivekananda (d) Annie Besant

69. Nitrogen in water is commonly found in the form of:

(a) Nitric oxide (b) Nitrous oxide

(c) Nitrate (d) Nitrite

70. The Members of the Constituent Assembly which enacted

the constitution of India were:

(a) Nominated by Governor-General.

(b) Nominated by the Political Parties.

(c) Elected by the Legislative Assemblies of various

Provinces.

(d) Directly elected by the People.

71. To whom the President has to submit his resignation ?

(a) Speaker (b) Chief Justic

(c) Prime Minister (d) Vice President

72. The total number of planets revolving around the sun are:

(a) Seven (b) Eight

(c) Five (d) Six

73. Immunization technique was developed by:

(a) Louis Pasteur (b) Robert Koch

(c) Joseph Lister (d) Edward jenner

74. Which one of the following chapters in the Indian

Constitution guarantees fundamental rights to the people?

(a) Part III (b) Part IV

(c) Part I (d) Part II

75. The market equilibrium for a commodity is determined by:

(a) the balancing of the forces of demand and supply for

the commodity.

(b) the intervention of the Government.

(c) the market demand of the commodity.

(d) the market supply of the commodity.

76. “Economies” of a firm are:

(a) an increase in its profits

(b) its dominance of the market

(c) saving in its production costs

(d) a reduction in its selling expenses

77. The hydrophilic nature of DNA is due to the presence of.

(a) a number of hydrogen bonds

(b) phosphate group

(c) deoxyribose sugar (d) thymine base

78. In a computer system, which device is functionally opposite

of a keyboard ?

(a) Joystick (b) Trackball

(c) Mouse (d) Printer

79. The sense of balance is achieved by:

(a) Cerebellum equilibrium

(b) Thalamus equilibrium

(c) Cerebrum equilibrium

(d) Spinal cord equilibrium

80. Aluminium salt commonly used to stop bleeding is:

(a) Aluminium chloride (b) Aluminium nitrate

(c) Aluminium sulphate (d) Potash alum

81. Cripps Mission came to India in:

(a) 1945 (b) 1946

(c) 1940 (d) 1942

82. Who among the following Sultans tried to prohibit Sati?

(a) Muhammad Bin Tuglaq (b) Firoz Tuglaq

(c) Jalaluddin Khilji (d) Alauddin Khilji

83. Total internal reflection cannot take place when light goes

from:

(a) water to glass (b) water to air

(c) glass to air (d) glass to water

84. Who constructed Humayun’s Tomb in Delhi ?

(a) Haji Begam (b) Babar (c) Humayun (d) Akbar

85. Who among the following Mughal rulers banned music

and dancing ?

(a) Jahangir (b) Babar

(c) Aurangzeb (d) Humayun

86. Which of the following is the major copper producing

country?

(a) Indonesia (b) Russia

(c) Sri Lanka (d) Chile

87. Interferons are synthesized in response to:

(a) mycoplasma (b) fungi

(c) virus (d) bacteria88. Who was the governor-general during the Second Anglo-

Mysore War?

(a) Lord Wellesley (b) Sir John Shore

(c) Lord Cornwallis (d) Warren Hastings

89. The first law of thermodynamics is simply the case of:

(a) Charle’s law.

(b) the law of conservation of energy.

(c) the law of heat exchange.

(d) Newton’s law of cooling.

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90. Mac Iver says ‘Kinship creates society and society at

length creates ________’.

(a) Association (b) City State

(c) Nation (d) State

91. Red rot of sugarcane is caused by:

(a) Colletotriehum falcatum

(b) Cercospora personata

(c) Alternaria alternata

(d) Phylophthora Infestans

92. Regarding money supply situation in India it can be said

that the:

(a) Currency with the public is almost equal to the

deposits with the banks.

(b) Currency with the public is inconvertible only.

(c) Currency with the public is more than the deposits

with the banks.

(d) Currency with the public is less than the deposits

with the banks.

93. A clone is a group of individuals obtained through :

(a) self pollination (b) micropropagation

(c) hybridisation (d) cross pollination

94. Chemical name of Gammaxane is:(a) Aniline (b) Toluene

(c) Benzene hexachloride (d) Chloro benzene

95. The equilibrium price of a commodity will definitely rise of

there is a/an:

(a) increase in supply combined with a decrease in

demand.

(b) increase in demand accompanied by a decrease in

supply.

(c) decrease in both demand and supply.

(d) increase in both demand and supply.

96. The fleshy thalamus is edible in:

(a) Mango (b) Orange(c) Tomato (d) Apple

97. The largest forest which covers 25 percent of the world’s

Forest land is:

(a) Monsoon Forest

(b) Temperate forests of Europe

(c) The tropical Rain forest

(d) Taiga forest of Siberia

98. Name the acid attack victim who was honoured with

prestigious “International women of courage” award on 4

march 2014 at the state department ceremony in

Washington by Michelle Obama, first lady of the U.S.

(a) Malini (b) Shivani(c) Nirbhaya (d) Laxmi

99. If the Union Parliament is to assume legislative power over

and subject included in the State List, the resolution to the

effect has to be passed by which of the following ?

(a) Lok, Sabha, Rajya Sabha and legislatures of the

Concerned States.

(b) Both Lok Sabha and Rajya Sabha

(c) Lok Sabha

(d) Rajya Sabha

100. Which Article of the Indian constitution defines the duties

of the Chief Minister?

(a) Article 164 (b) Article 166

(c) Article 167 (d) Article 163

PART-C : QUANTITATIVE APTITUDE

101. 2km 5m is equal to:

(a) 2.005 km (b) 2. 0005 km

(c) 2.5 km (d) 2.05 km102. A trader marks his goods 20% above C.P. but allows his

customers a discount of 10. The C.P. of a blackboard, which

is sold for ` 216, is:

(a) ` 200 (b) ` 180

(c) ` 108 (d) ` 196

103. A bus moving at 40km per hour covers a distance in 6

hours 15 minutes. If it travels the same distance at 50 km

per hour how long will it take to cover the distance?

(a) 6 hours (b) 2 hours

(c) 4 hours (d) 5 hours

104. If a shopkeeper purchases cashewnut at ` 250 per kg and

sells it at ` 10 per 50 grams, then he will have:

(a) 25% profit (b) 20% profit

(c) 20% loss (d) 25% loss

105. The simplified value of

( )0.0539 0.002 0.4 0.56 0.07

0.04 0.25

- ´ + ´

´ is:

(a) 59.96 (b) 599.6

(c) 0.5996 (d) 5.996

106. The height of a triangle is increased by 10%. To retain the

original area of the tr iangle, its corresponding base must

be decreased by:

(a)1

9 %8

(b)1

9 %11

(c) 10% (d)1

9 %7

107. The mean of x and1

xis M. Then the mean of x2and 2

1

x is.

(a) M2 (b) M2 –2

(c) 4M2 –2 (d) 2M2 –1

108. In a factory, the production of cycles rose to 48,400 from

40,000 in 2 years. The rate of growth per annum is:(a) 8% (b) 9%

(c) 10.5% (d) 10%

109. A man bought a watch at 25% discount on the original

price. He got ` 40 more than the original price by selling it

at 140% of the price at which he bought. The price of buying

the watch was:

(a) ` 900 (b) ` 600

(c) ` 800 (d) ` 700

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110. How many seconds will a train 120 metres long running the

rate of 36km/ hr take to cross a bridge of 360 metres in

length?

(a) 48 sec (b) 36 sec

(c) 40 sec (d) 46 sec

111. Incomes of x and y are in the ratio 4 : 3. Their expenditures

are in the ratio 12 : 7. Both save ` 3200 at the end of the

month, then the income of x is :

(a) ` 6000 (b) ` 8000

(c) ` 2000 (d) ` 4000

112. 12 monkeys can eat 12 bananas in 12 minutes. In how many

minutes can 4 monkeys eat 4 bananas ?

(a) 12 (b) 10

(c) 4 (d) 8

113. A certain amount of money earns` 540 as Simple Interest

in 3 years. If it earns a Compound Interest of ` 376.20 at

the same rate of interest in 2 years, find the amount. (in

rupees)

(a) 2100 (b) 1600

(c) 1800 (d) 2000

114. The average of some natural numbers is 15. If 30 is added

to first number and 5 is subtracted from the last number theaverage becomes 17.5 then the number of natural number

is:

(a) 20 (b) 30

(c) 15 (d) 10

115. The smallest whole number that is to be multiplied with

59535 to make a perfect square number is x. The sum of

digits of x is:

(a) 9 (b) 6

(c) 5 (d) 7

116. The ratio of the ages of A and B at present is 3 : 1 Four

years earlier the ratio was 4 : 1. The present age of A is :

(a) 40 years (b) 32 years

(c) 36 years (d) 48 years

117.10 25 108 154 225

?3 8

+ + + +=

(a) 8 (b)1

2

(c) 2 (d) 4

118. If 2x y3 - = x y3

+ = 27 , then the value of x y3 - will be :

(a)1

3(b)

1

27

(c) 3 (d) 3

119. A number is increased by x%, to get back to the original

number, it is to be reduced by :

(a)10x

%100 x+

(b)100x

%100 x+

(c) x% (d)x

%100 x+

120. A fruit seller buys 240 apples for ` 600. Some of these

apples are bad and are thrown away. He sells the remaining

apples at ` 3.50 each and makes a profit of ` 198. The % of

apples thrown away are :

(a) 8% (b) 7%

(c) 6% (d) 5%

121. 20 men can do a piece of work in 18 days. They worked

together for 3 days, then 5 men joined them. In how many

more days is the work completed ?

(a) 12 (b) 14

(c) 15 (d) 13

Study the bar graph and answer Q. 122 to 125.

0

10

20

30

40

50

60

120

500

200

150

100

330

150

260

130150

12050

1996 1997 1998 1999 2000 2001Years

Quantity in lakh sugar bags

Value in crores rupees

122. The approximate percentage increase in quantity from 1997

to 1998 was :

(a) 27.3% (b) 27.8%

(c) 26.5% (d) 26.9%

123. Percentage fall in value from 2000 to 2001 in :

(a) 50% (b) 75%

(c) 25% (d) 40%

124. The difference between the bags exported in 1999 and 2000

was.

(a) 50,000,00 (b) 1,00,000,00

(c) 1,50,000,00 (d) 2, 00,000,00

125. Value per bag was minimum in the year:

(a) 2001 (b) 1999

(c) 1996 (d) 1997

126. A man was born in the year 1896 A.D. If in the year x 2 A.D.

his age is x-4, the value of x is:

(a) 44 (b) 36

(c) 42 (d) 40

127. The total surface area of a regular triangular pyramid with

each edges of length 1cm is:

(a) 3 sq.cm (b)4 33

sq.cm

(c) 4sq.cm (d) 4 3 sq.cm

128. The perimeter of a sheet of paper in the shape of a quadrant

of a circle is 75 cm. Its area would be22

7

æ öp =ç ÷

è ø:

(a) 346.5 cm2 (b) 100 cm2

(c) 693 cm2 (d) 512.25 cm2

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129. If in a triangle ABC, BE and CF are two medians

perpendicular to each other and if AB=19cm and AC=22cm

then the length of BC is :

(a) 20.5cm (b) 19.5cm

(c) 13cm (d) 26cm

130. The shadow of a tower standing on a level plane is found

to be 40m longer when the sun’s altitude is 45° than when

it is 60°. The height of the tower is:

(a) ( )30 3 3+ m (b) ( )40 3 3+ m

(c) ( )10 3 3+ m (d) ( )20 3 3+ m

131. O is the circumcentre of DABC. If BACÐ =50° then

OBCÐ is:

(a) 130° (b) 100°

(c) 50° (d) 40°

132. If a is an acute angle and 2sin a + 15cos2a =7, then the

value of cota is:

(a)4

5(b)

5

4

(c)4

3(d)

3

4

133. If the base of right prism remains same and the measures of

the lateral edges are halved, then its volume will be reduced

by:

(a) 50% (b) 25%

(c) 66% (d) 33.33%

134. If sin q + sin2 q =1, then the value of cos2 q + cos4q is:

(a) 2 (b) 0

(c) 1 (d) –1

135. If 999x + 888y = 1332

888x + 999y = 555

then the value of x+y is:(a) 888 (b) 1

(c) 999 (d) 555

136. The term that should be added to (4x2 + 8x) so that resulting

expression be a perfect square is:

(a) 4 (b) 1

(c) 2x (d) 2

137. Two circles of radii 10 cm and 8 cm intersect and the length

of the common chord is 12 cm. Then the distance between

their centres is:

(a) 15 cm (b) 10 cm

(c) 8 cm (d) 13.3 cm

138. The angle between the graph of the linear equation 239x –

239y + 5 = 0 and the x-axis is:

(a) 45° (b) 60°

(c) 0° (d) 30°

139. Provided sin (A – B)= sinA cosB – cosA sinB, sin15° will be:

(a)3 1

2

-(b)

3 1

2 2

-

(c)3

2 2(d)

3 1

2 2

+

140. If x +1

x= 2, then the value of

7

5

1x

x+ is:

(a) 25 (b) 212

(c) 2 (d) 27

141. The number of paving stones each measuring 2.5m ×2m

required to pave a rectangular courtyard 30m long and 17.5m

wide, are:

(a) 99 (b) 105

(c) 33 (d) 80142. From two points on the ground and lying on a straight line

through the foot of a pillar, the two angles of elevation of

the top of the pillar are complementary to each other. If the

distances of the two points from the foot of the pillar are 12

metres and 27 metres and the two points lie on the same

side of the pillar, then the height (in metres) of the pillar is:

(a) 16 (b) 12

(c) 15 (d) 18

143. The diagonal of a quadrilateral shaped field is 24m and the

perpendiculars dropped on it from the remaining opposite

vertices are 8m and 13m. The area of the field is:

(a) 252 m2 (b) 1152 m2

(c) 96 m2 (d) 156 m2144. Two isosceles triangles have equal vertical angles and their

areas are in the ratio 9:16. Then the ratio of their

corresponding heights is:

(a) 4.5 : 8 (b) 8 : 4.5

(c) 3 : 4 (d) 4 : 3

145. The perimetres of two similar triangles are 30 cm and 20cm

respectively. If one side of the first triangle is 9cm. Determine

the corresponding side of the second triangle:

(a) 15 cm (b) 5 cm

(c) 6 cm (d) 13.5 cm

DIRECTIONS (Qs. 146-150) : The expenses of a country for a

particular year is given in the pie chart. Read the pie chart and

answer question below.

Defence15%

Statedevelopment

15%

Non plan

36%

Others30%

Sports 18%

Health54%

Education

10%

146. If the total amount spent by Government during the year

was ` 3,00,000 crores, the amount spent on state

development exceeds that on sports by:

(a) ` 25,000 crores (b) ` 45,000 crores

(c) ` 35,000 crores (d) ` 30,000 crores

147. The percent of less money spent on non plan than that on

defence is:

(a) 12% (b) 15%

(c) 5% (d) 10%

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148. The percent of more money spent on others than that on

sports is:

(a) 26% (b) 25%

(c) 28% (d) 27%

149. If the total amount spent by the Government during the

year was ` 1,00,000 crores, then the amount spent on health

and education together was:

(a) ` 25,000 crores. (a) ` 30,000 crores.

(a) ` 15,000 crores. (a) ` 20,000 crores

150. The percent of the total spending that is spent on health is:(a) 25% (b) 30%

(c) 15% (d) 20%

PART-D : ENGLISH COMPREHENSION

DIRECTIONS (Qs. 151 to 155): In questions below,

some part

of the sentences have errors and some are correct. Find out

which part of a sentence has an error and blacken the circle [·]

corresponding to the appropriate letter (A,B,C). If a sentance

is free from error, blacken the circle corresponding to (D) in

the Answer Sheet .

151. The team was / now in the field and /(A) (B)

about to take their place. / No error

(C) (D)

152.Everyone were happy / to hear/

(A) (B)

about his success./ No error

(C) (D)

153.The lions/ kill the animals / and eat his meat./

(A) (B) (C)

o error

(D)

154.Hearing these strange noises above, /

(A)

the thought at once occured to me/

(B)

that thieves had entered the house./

(C)

o error

(D)

155.Our beloved Prime-Minister / is known to /

(A) (B)

the prominent figures all over the world./

(C)

o error

(D)

DIRECTIONS (Qs. 156-160) : In questions below sentences

given with blanks are 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 circle [·] in the Answer Sheet.

156. There were so many _______ points in his speech that the

audience _______ to get the message.

(a) superficial - listened

(b) relevant - hastened

(c) interesting - tried

(d) irrelevant - failed

157. The little boy ran _______ fast that he was _______ for

breath.

(a) so - gasping (b) too - fighting

(c) so - inhaling (d) very - struggling

158. He was so _______ at his job that he was asked to give a

_______ to the visitors.

(a) adept - demonstration (b) able - disclosure

(c) agile - demolition (d) accurate - display

159. She was so _______ that she was _______ by all.

(a) proud : respected (b) excellent : warned

(c) talented : praised (d) stupid : admired

160. The _______ of the ‘chief’ was _______ upon him.

(a) title, bestowed (b) name, dismissed

(c) title, imposed (d) appointment, thrown

DIRECTIONS (Qs. 161-165) : In questions below

out of the

four alternatives, choose the one which best expresses the

meaning of the given word and mark it in the Answer Sheet.

161. Annihilate

(a) initiate (b) destroy

(c) solve (d) deduce

162. Query

(a) quest (b) denounce

(c) victim (d) quake163. Interference

(a) honour (b) deference

(c) obstruction (d) fearful

164. Verisimilitude

(a) festive (b) fantastic

(c) grotesque (d) authenticity

165. Conjecture

(a) knowledge (b) guess

(c) truth (d) bias

DIRECTIONS (Qs. 166-170) : In questions below,

choose the

word opposite in meaning to the given word and mark it in the

Answer Sheet.166. Unscrupulous

(a) Single - minded (b) Superfluous

(c) Dedicated (d) Conscientious

167. Tranquil

(a) Perpetual (b) Temporal

(c) Unruffled (d) Disturbed

168. Enlarge

(a) amplify (b) glorify

(c) condense (d) augment

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169. Obsequious

(a) domineering (b) clever

(c) opaque (d) careful

170. Vacillate

(a) injure (b) relieve

(c) decide (d) repel

DIRECTIONS (Qs. 171-175) : In questions below, four

alternatives are given for the Idiom/Phrase underlined in the

sentence. Choose the alternative which best expresses the

meaning of the Idiom/Phrase and mark it in the Answer Sheet.

171. The shopping mall is a beehive of activity.

(a) a secure place (b) a sweet place

(c) a busy place (d) a costly place

172. To win laurels.

(a) To be disappointed

(b) To memories

(c) To be victorious in a game

(d) To earn great prestige

173. The officer was in the soup when there was a raid in his

office.

(a) preparing soup (b) distributing soup

(c) to be in trouble (d) drinking soup174. We must draw the line somewhere.

(a) turn the tables (b) put the screw on

(c) fix a limit (d) aim at the sky

175. To cut the Gordian knot.

(a) to do a job perfunctorily

(b) to cut a piece of cloth

(c) to perform an easy task

(d) to perform a difficult task

DIRECTIONS (Qs. 176-180): In questions below, a part of the

sentence is underlined. Below are given alternatives to the

underlined part at (A), (B), (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. She is very eccentric woman.

(a) unusual (b) impatient

(c) generous (d) no improvement

177. The workers should have been more meticulous.

(a) precise (b) punctual

(c) committed (d) no improvement

178. The chickens in his farm are fatted up nicely.

(a) are fattening (b) are fattying

(c) are fattened (d) no improvement

179. I was angry at myself for making such a big mistake.

(a) about (b) with

(c) on (d) no improvement

180. Torture and trauma has made her a mental patient.

(a) mad (b) mania

(c) lunatic (d) no improvement

DIRECTIONS (Qs. 181-185): In quest ions below, out of the

four alternatives, choose the one which can be substituted for

the given words/sentences and indicate it by blackening the

appropriate circle [·] in the Answer Sheet.

181. Walking in sleep :

(a) Sleepy-head (b) Somnolence

(c) Somnambulism (d) Insomnia

182. A person who leaves his own country in order to go and

live in another :

(a) emigrant (b) refugee

(c) immigrant (d) expatriate

183. Showing a dislike of anything improper :

(a) crude (b) prim(c) strict (d) rude

184. That which cannot be avoided :

(a) inevitable (b) indifferent

(c) inestimable (d) infallible

185. Artistic, musical or dramatic interpretation :

(a) reparation (b) report

(c) imitation (d) rendition

DIRECTIONS (Qs. 186-190) : In questions below, four words

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

correctly spelt, Find the correctly spelt word and mark youranswer in the Answer Sheet.

186. (a) curiosity (b) quriocity(c) curiousity (d) curioucity

187. (a) Intecedent (b) Antecedant

(c) Antecedent (d) Entecedent

188. (a) Symetry (b) Cemetery

(c) Cemetary (d) Cemetry

189. (a) naseating (b) maditation

(c) delibarate (d) aberrance

190. (a) ansestral (b) encestral

(c) ansastral (d) ancestral

DIRECTIONS (Qs. 191-195) : In questions below, you have a

passage with 5 questions. Read the passage carefully and

choose the best answer to each question out of the fouralternatives and mark it by blackening the appropriate circle

[·] in the Answer Sheet.

Research is a detailed study of a subject undertaken on a

systematic basis in order to increase the stock of knowledge,

including knowledge of man, culture and society, and the use of

this stock of knowledge to devise new applications. It is used to

establish or confirm facts, reaffirm the results of pervious work,

solve new or existing problems or develop new theories. To test

the validity of instruments, procedures or experiments research

may replicate elements of prior projects, or the project as a wholeThe primary purposes of basic research are documentation,

discovery, interpretation or the research and development of

methods and systems for the advancement of human knowledgeThere are several forms of research : scientific, humanities,artistic, economic, social, business, marketing, etc.

Academic publishing describes a system that is necessary

in order for academic scholars to review the work and make it

available for a wider audience. Most academic work is publishedin book form. There is also a large body of research that exists in

either a thesis or dissertation form. Many researchers spend

their time applying for grants for research funds. These grants

are necessary not only for researchers to carry out their research, but also as a source of merit.

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191. How many kinds of research are there ?

(a) There are seven different kinds of research.

(b) There are different kinds of research.

(c) There is only one kind of research.

(d) There are two different kinds of research.

192. Select the answer which best reflects the view expressed

in the passage.

(a) Grants are not based on merit.

(b) Researchers never apply for grants.(c) Research can thrive without grants.

(d) Documentation is important in research.

193. Why is research conducted ?

(a) Research is conducted in order to minimise the result

of previous works.

(b) Research is conducted in order to destroy facts.

(c) Research is conducted in order to develop new

problems.

(d) Research is conducted in order to verify information.

194. What is research ?

(a) Research is the destruction of previous works.

(b) Research is the creation of new forms of knowledge.(c) Research is a process having no practical use.

(d) Research is the attempt to limit the growth of

knowledge.

195. Choose the most appropriate answer from this passage.

(a) Academic publishing is meant only for academicians.

(b) Academic publishing is meant only for professionals

(c) Academic publishing is meant to benefit the general

public.

(d) Academic publishing is meant only for experts.

DIRECTIONS : In Questions No. 196 to 200, in the following

passage some of the words have been left out. Read the passage

carefully and choose the correct answer to each question outof the four alternatives and fill in the blanks.

A team of Indian engineers 196 shown that digital photographs

of the hand may 197 cholesterol levels in the body and serve as

an early warning signal 198 poor lipid health without a standard

blood test. Researchers believe the programme may be 199 in the

future and 200 into mobile phones to enable it to analyses digital

images of the hand captured in the camera on a mobile phone.

196. (a) has been (b) are

(c) have (d) has

197. (a) conceal (b) conjecture

(c) reveal (d) conduct

198. (a) of (b) before(c) at (d) by

199. (a) resolved (b) refined

(c) retracted (d) recorded

200 (a) formulated (b) featured

(c) loaded (d) fixed

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PART-A : GENERAL INTELLIGENCE & REASONING

1. (a) 9 × 3 – 3 = 24

3 × 3 – 3 = 6

2. (d) A hive is a shelter for bees

A eyrie is a large nest of an eagle.

3. (d) Letters are arranged in reverse order.

¾¾®S T A R R A T S

Similarly,

¾¾®W A R D D R A W

4. (d) Place value from D C B A

the left end (4) (3) (2) (1)

¯ ¯ ¯ ¯

W X Y Z

Place value from (4) (3) (2) (1)

the right end

Similarly,

Place value from I J K Lthe left end (9) (10) (11) (12)

¯ ¯ ¯ ¯

R Q P O

Place value from (9) (10) (11) (12)

the right end

5. (d) D H L P T X

B F J M R V

–2 –2 –2 –3 –2 –2

Similarly,

C G K O S W

A E I M Q U

–2 –2 –2 –3 –2 –2

6. (c) All numbers are prime.

7. (a) All others except (a) are prime numbers.

8. (b) Lotus grows in the water but rest grow on the land.9. (a)

(d) bbb ttt jjj

(a) mmm qqq ttt (b) ccc ggg kkk

(c) kkk ooo sss

+4 +4

+4 +3+4 +4

+4 +4Hence (a) is the odd one out.

10. (d) (a) 8 + 1 + 1 + 0 = 10

(b) 1 + 2 + 3 + 4 = 10

(c) 9 + 1 + 0 + 0 = 10

(d) 1 +1 + 8 + 9 = 19

Hence, (d) is the odd one out.

11. (b) Tin is element but rest are the alloys.

12. (c) HIUL13. (b) Arrangement according to dictionary

(2) (4) (5)(3)

(1)

Feather Feature Feed head Feminine

Fenestration

® ® ®

®

14. (d) Meaningful order is :

(6) (1) (4) (5)(3)

(2)

Rain Rivulet Tributary River Sea

Ocean

® ® ® ®

®

Hints Explanations

1 (a) 21 (a) 41 (a) 61 (c) 81 (d) 101 (a) 121 (a) 141 (b) 161 (b) 181 (c)

2 (d) 22 (d) 42 (c) 62 (d) 82 (a) 102 (a) 122 (*) 142 (d) 162 (a) 182 (a)

3 (d) 23 (b) 43 (d) 63 (a) 83 (a) 103 (d) 123 (*) 143 (a) 163 (c) 183 (b)

4 (d) 24 (b) 44 (c) 64 (a) 84 (a) 104 (c) 124 (b) 144 (c) 164 (d) 184 (a)

5 (d) 25 (c) 45 (c) 65 (d) 85 (c) 105 (d) 125 (c) 145 (c) 165 (b) 185 (d)

6 (c) 26 (d) 46 (b) 66 (a) 86 (d) 106 (c) 126 (a) 146 (d) 166 (d) 186 (a)

7 (a) 27 (a) 47 (c) 67 (d) 87 (c) 107 (d) 127 (a) 147 (c) 167 (d) 187 (b)

8 (b) 28 (d) 48 (a) 68 (a) 88 (d) 108 (c) 128 (a) 148 (b) 168 (c) 188 (b)

9 (a) 29 (d) 49 (b) 69 (c) 89 (b) 109 (b) 129 (c) 149 (a) 169 (a) 189 (d)

10 (d) 30 (d) 50 (b) 70 (c) 90 (d) 110 (a) 130 (d) 150 (c) 170 (c) 190 (d)

11 (b) 31 (b) 51 (b) 71 (d) 91 (a) 111 (c) 131 (d) 151 (c) 171 (c) 191 (b)

12 (c) 32 (b) 52 (d) 72 (b) 92 (d) 112 (a) 132 (d) 152 (a) 172 (d) 192 (d)

13 (b) 33 (a) 53 (c) 73 (d) 93 (a) 113 (d) 133 (a) 153 (c) 173 (c) 193 (d)

14 (d) 34 (b) 54 (c) 74 (a) 94 (c) 114 (d) 134 (c) 154 (a) 174 (c) 194 (b)

15 (b) 35 (b) 55 (d) 75 (a) 95 (b) 115 (b) 135 (b) 155 (d) 175 (d) 195 (c)

16 (b) 36 (b) 56 (c) 76 (d) 96 (d) 116 (c) 136 (a) 156 (b) 176 (a) 196 (c)

17 (d) 37 (a) 57 (c) 77 (c) 97 (d) 117 (*) 137 (d) 157 (a) 177 (a) 197 (c)

18 (b) 38 (d) 58 (c) 78 (d) 98 (d) 118 (c) 138 (a) 158 (a) 178 (a) 198 (a)

19 (c) 39 (b) 59 (c) 79 (a) 99 (d) 119 (b) 139 (b) 159 (c) 179 (b) 199 (b)

20 (a) 40 (b) 60 (d) 80 (d) 100 (c) 120 (d) 140 (c) 160 (a) 180 (c) 200 (c)

ANSWER KEY

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15. (b) Words LUB and TUP are in consecutive order.

L U B T U P L U B T U P L U B T U P L U B T U P

16. (b) The sequence BBCCA is repeated

B B C C A B B C C A B B C C A B B C C A

17. (d) There are two numbers series:

I.

24 20 16 12

–4 –4 –4

II.

35 31 27 23

–4 –4 –4

18. (b)1 50

77 7

=

2 508

6 6=

5 509

5 5=

2 5012

4 4=

2 5016

3 3=

50 50 50 50 50 50, , , , ,

7 6 5 4 3 2

19. (c) Let basic pay of A = ` x

Let basic pay of B = ` y

As per given condition

Total salary = x + 0.65 x = 1.65 x of A

Total salary of B = y + 0.80y = 1.8y

1.65x = 1.8 y

x

y=

1.8

1.65=

180

165=

12

11

So ratio of basic pay = 12:11

20. (a)

3 m 40 cm.24 m

16 m

A

B

So net height climbed in one day

= 16 – 3.40

= 12.6 m

21. (a) Let the speed of A and B in first lap = 3x and 2x.

Speed of A and B in second lap = 4x and 7x

Speed of A and B in third lap = 8x and 9x

Total speed of horse A = 8x + 4x + 3x = 15x

Total speed of horse B = 9x + 7x + 2x = 18x

Difference between A and B = 18x – 15x = 3x

So correct answer is (a).

22. (d) Minister cannot be formed as there is no 'e' in the word

'ADMINISTRATION'.

23. (b) Hearty cannot be formed as they is no 'y' in the word

'CHARACTER.

24. (b) 24 ¸ 6 × 4 + 9 – 84 × 4 + 9 – 8

16 + 9 – 8

25 –8 =17

25. (c) 7 × 6 ×4 = 674

Similarly,

9 × 1 × 2 = 192

26. (d) F I F T Y C A R

C A C T Y P O LCoded as®

Coded as

T A R I F F

T O L A C C27. (a) (´) sign has been changed by (+) sign.

Therefore, 9 + 8 + 7 = 24

4 + 7 + 3 = 14

2 + 1 + 9 = 12

28. (d) G O O D N E S S

H N P C O D T R

+1 –1 +1 –1 +1 –1 +1 –1

Similarly,

G R E A T N E S S

H Q F Z U M F R T

+1 –1 +1 –1 +1 –1 +1 –1 +1

29. (d) 14 + 9 = 23

9 × 5 = 45

23 + 45 = 68

30. (d) 3 + 4 + 3 = 10

4 + 6 + 4 = 14

8 + 6 + 6 = 20

8 + 3 +8 = 19

31. (b) 9 × 8 – 7 = 656 × 5 – 4 = 26

7 × 6 – 3 = 39

33. (a) Humanities

Sociology

Psychology

34. (b) There are 12 triangles in the given square.

A B

C

D E

F

G H

I

JK

LM

D ABC, D ACD,D ABD,D AFDD FGB,D HIG,D HJI, D IJK D HJK, D HML,D EKL, D CED

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35. (b)Reshma’s starting point

AB

CD

E

Now, Reshma is going to south direction36. (b)

S

EW

E NW

SW SE

Starting pointEnd

Point 1 5 k m

12 km

C

B

A

Distance from starting point = (152 –122)1/2

= (225 – 144)1/2 = (81)1/2 = 9 m

Hence, the answer is 9m

37. (a)

Scholars

Students

Teachers

38. (d)

Editor ewspaper Journalist

39. (b)Theatres

LaboratoriesSchools

Conclusions:

(I) True

(II) False

40. (b) Conclusions:

(I) False(II) True

48. (a)

49. (b) L A N E

¯ ¯ ¯ ¯31 87 32 97

50. (b) A I R S¯ ¯ ¯ ¯43 55 86 95

PART-B : GENERAL AWARENESS

51. (b) Mangrove trees act as a natural barrier against

cyclones and storms.54. (c) Chemotherapy is the use of medicines or drugs to treat

cancer.

55. (d) Oxygen is the most abundant element, making up

about 47% of the earth's mass.

58. (c) Kapil Dev's fast pace earned him the nickname,

'Haryana Hurricane'.

60. (d) Cheap Money policy is a monetary policy through

which a bank sets low interest rates so that credit is

easily achievable.

68. (a) Arya Samaj is an Indian religious reform movement

founded by Swami Dayananda on 7th April 1875.

73. (d) Edward Jenner is often cal led " the father of

immunology".74. (a) The Fundamental Rights are defined in Part III of the

Constitution which apply to every Indian citizen

irrespective of race, place of birth, religion, caste, creed

or gender.

75. (a) Market equilibrium is a market state where the supply

in the market is equal to the demand in the market.

80. (d) Potash Alum is used to reduce bleeding in minor cuts

and abrasions, nosebleeds, and haemorrhoids.

81. (d) The Cripps mission was an attempt in late March 1942

by the Bri tish government to secure full Indian

cooperation and support for their efforts in World War II.

84. (a) Hamida Banu Begam, also known as Haji Begam,

commenced the construction of Humayun tomb in1569.

86. (d) Chile is the world's largest copper producer, producing

1.79 million tons in 2013.

87. (c) Interferon is produced by the body's cells as a

defensive response to viruses.

89. (b) The first law of thermodynamics is a version of the law

of conservation of energy.

90. (d) "Kinship" says MacIver, creates society and society

at length creates the state."

98. (d) Laxmi, a victim of acid attack was selected by the US

for the prestigious International Women of Courage

Award.

100. (c) Article 167 defines the duties of the chief minister.

PART-C : QUANTITATIVE APTITUDE

101. (a) 2km 5m = 2100

5+ = 2.005 km

102. (a) Marked price = 20 % above CP

=120

CP100

´

Discount = 10%

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\ S.P. =100 10 120

CP100 100

-´ ´

= 0.9 × 1.2 × CP = 1.08 CP

S.P. = ` 216

C.P. =216

1.08=`200

103. (d) Distance covered = Speed × Time =25

40 250 km4

´ =

New speed= 50 km/hour

\ Time taken to cover same distance =250

5h50

=

104. (c) C.P. = ` 250

S.P. = ` 10 per 50 g

=1000

1050

´ = ` 200

\ Loss =250 200

100 20%250

-´ =

105. (d) 0.0539 – 0.002 = 0.0519

0.56 × 0.07 = 0.03920.0519 × 0.4 = 0.02076

0.04 × 0.25 = 0.01

So(0.0539 0.002) 0.4 0.56 0.07

0.04 0.25

- ´ + ´

´

=0.0519 0.4 0.0392

0.01

´ +

=0.02076 0.0392

0.01

+=5.996

106. (c) Let original, area height, and base of triangle is a, hand b

New area, height and base of triangle is A, H, B

H =110

h100

Þ H = 1.1 h

Original area (a) =1

b h2

´ ´

New area (A) =1

B H2

´ ´

A =1

B 1.1h2

´ ´

But A = a

1 1B 1.1h b h

2 2\ ´ ´ = ´ ´

B 1

b 1.1=

B = 0.9b

\ Corresponding base must be decreased by

1 0.9100 10%

1

-´ =

107. (d) Mean of x and1

x= M

Þ1 1

x2 x

æ ö+ç ÷

è ø= M

Þ

2x 1

2x

+= M

Mean of x2 and 21

x=

2

2

1 1x

2 x

æ ö+ç ÷è ø

=

4

2

x 1

2x

+

=

2 2

2

(x 1) 2 x

2x

+ -

=

2 2

2

(2 xM) 2x

2x

-

=

2 2

24x M 1

2x-

= 2M2 –1

108. (c) Rate of growth =48, 400 40, 000 1

10040,000 2

-´ ´ = 10.5%

109. (b) CP = 0.75 × MP

SP = MP + 40

1.4 CP = M.P + 40

1.4 (0.75) MP = M.P + 40

1.05 MP = M.P. + 40

(1.05 – 1) MP = 40

M.P. = 400.05

= ` 800

\CP = 0.75 M.P. = 0.75 × 800 = ` 600

110. (a) Total distance = Length of train + Length of bridge

= 120 + 360 = 480 m

Speed = 36 km/h =36 1000

10 m/sec3600

´=

So time =Distance 480

48 secSpeed 10

= =

111. (c) Ratio of income of x and y = 4 : 3

Ratio of expenditure of x and y = 12 : 7

Saving of x = 4a – 12b = 3200 ...(i)Saving of y = 3a – 7b= 300 ..(ii)

Solving (i) and (ii)

12a 36b 960012a 28b 12800

8b 3200

- =- =+ --- =

b = 400

Now 3a = 3200 + 7b = 3200 + 7 (400) = 6000

a = ` 2000

So income of x = ` 2000

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112. (a) 12 monkeys can eat 12 bananas in 12 minutes

So 1 monkey can eat 1 banana in 12 minutes

4 monkeys can eat 4 banananas in 12 minutes

113 (d) S.I of 3 years = ` 540

S.I. of 1 year =540

3= ` 180

S.I. of 2 years = 2 × 180 = ` 360

CI of 2 years = ` 376.20

Difference between CI and SI = 376.20 – 360=`16.20

If we take P = ` 180 R = R% and Time = 1 year

180 R 116.20

100

´ ´=

R =1620

9%180

=

So S.I. = 540 = P × 9 ×3

100

P =540 100

9 3

´

´= ` 2000

114. (d) Let number of natural numbers be x

\ 15x + 30 – 5 = 17.5 x

25 = 2.5x

x =25

102.5

´

So 10 natural numbers are there.

115. (b) 59535 = 7 × 7 × 3 × 3 × 3 × 3 × 3 × 5

So if we multiply by 3 × 5 then 59535 × 15 = 893025 will

be perfect square

So smallest whole number is 15.

So sum of digits is 1 + 5 = 6

116. (c) Present age of A and B

A 3A 3B

B 1= Þ =

4 years earlier ratio of ages of A and B

A 4 4

B 4 1

-=

-= A – 4 = 4B – 16

A – 4B = – 12

3B – 4B = – 12

– B = – 12

So B = 12 and A = 12 × 3 = 36 years

117. (*)

10 25 108 154 125

3 8

+ + + +

=10 25 108 154 15

3 8

+ + + + ( )169 13=Q

=10 25 108 13

3 8

+ + + ( )121 11=Q

=10 25 11

3 8

+ + ( )25 11 6+ =Q

=10 6

3 8

+=

4

3 8

=

( )

4 2 2 2 2 2 2

2 3 63 2 23 2 2= ´ = =

´

All 4 options are incorrect. Correct answer is2 2

.6

118. (c) 32x – y = 3x + y =

3

227 3=

Þ 2x – y =3

2 x + y =

3

2

4x – 2y = 3 ...(i)

2x + 2y = 3 ...(ii)

Solving equation (i) and (ii)

x = 1 y =

1

2

Þ

1 11

2 23 3 3-

= =

119. (b) Cumulative % change = a + b +ab

100

Cumulative change to be 0

So a + b +ab

100= 0

Here a = x%

Soxb

x b100

+ + = 0

Þx

b 1100

æ ö+ç ÷

è ø= –x

b =x(100)

100 x

-

+

=100x

100 x

-

+ – ve sign means decrease

So we need to decrease the number by100x

%100 x+

120. (d) C.P = ` 600

Let number of apples thrown = xSo number of apples left = 240 – x

So S.P.= (240 – x) 3.50

= 840 – 3.5x

So 840 – 3.5 x – 600 =198

240 – 3.5 x = 198

x =42

123.5

=

So % age of apples thrown =12

100 5%240

´ =

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121. (a) 1 men 1 day's work =1 1

20 18 360=

´

20 men 3 days work =1 1

318 6

´ =

Remaining work =1 5

16 6

- =

25 men 1 days work = 125360

´ = 572

Now5

72 work is done by them in 1 day

5

6 work is done by them in

72 512 days

5 6´ =

122. (*) % increase in quantity from 1997 to 1998

=150 130 200

100 15.4% (app.)130 13

-´ = =

None of the options are correct.

Correct answer is 15.4%.123. (*) % age fall in value from 2000 to 2001

=500 120 380

100 100500 500

-´ = ´ = 76%

None of the options are correct

Correct answer is 76%

124. (b) Difference between the bags exported in 1999 and

2000 = 200 – 100 = 100 lakh = 100,00,000

125. (c) It is clear from bar graph

Value per bag is minimum in 1996.

126. (a) As per given condition

x2 – 1896 = x – 4

x2 – 1896 – x + 4 = 0

x2 – x – 1892 = 0x2 – 44x + 43x – 1892 = 0

x(x – 44) + 43 (x – 44) = 0

(x – 44) (x + 43) = 0

x = 44

So value of x is 44.

127. (a)

1 cm

1 c m 1 c

m

1 cm 1 cm

1 cmRegular equilateral triangular pyramid

Total surface area of pyramid

= 4 × Area of Equilateral triangle

=3

4 (1)4

´ = 3 sq. cm

128. (a) Perimeter of quadrant of a circle = 75 cm

1(2 r) 2 r

4p + = 75

2r 14

pæ ö+ç ÷

è ø= 75

2r =75(4)

4p +=

300

4p +

r =300 1

4 2´

p += 21 cm

129. (c) InD

ABCBE is median of AC

CF is median of AB

\CE =1 1

AC 222 2

= ´

= 11 cm

A

B C

EFy

2x2y

x

2 2 c m 1 9

c m

O

BF =1 1

AB 192 2

= ´

= 9.5 cm

BE and CF are medians of DABC which intersect a

point O.

Ratio of OB and OE = 2 : 1

Ratio of OC and OF = 2 : 1Let BO = 2x OE = x

and

OC = 2y OF = y

InD OEC EC = 2 2x (2y)+

(11)2 = x2 + 4y2 Þ x2 + 4y2 = 121 ...(i)

In DOFB FB = 2 2(2 x) (y)+

(9.5)2 = 4x2 + y2

90.25 = 4x2 + y2 ...(ii)

Solving equations (i) and (ii)

x = 4 y = 5.1

InDOEF EF = 2 2(4) (5.1)+ = 16 26+ = 6.5 cm

\BC = 2EF = 2 × 6.5 = 13 cm130. (d)

60°45°

h

x 40

A

S1 S2

BC D

Let S1 and S2 be the two different positions of sunand AB is the tower

InDABC

tan 45° =h

x (Q tan 45° = 1)

h = x

InDABD tan 60° =h

x 40+

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3 =h x

x 40 x 40=

+ +

( )3 1 x- = 40 3

x =40 3 3 1

3 1 3 1

+´

- +=

( )40 3 3 13 1

+

-

= ( )20 3 3 1+ = ( )20 3 3 m+131. (d) In DABC

ÐBAC = 50° (Given)

O is circumcentre ofDABC

ÐBOC = 2ÐBAC

A

O

B C

50°

= 2´ 50°

= 100°

(Q Angle subtended by sides of orthocenter will be

double the angle subtended by two sides of a triangle)

\ InDOBC = OB = OC

(Q Orthocenter O is equidistant from vertices of a

triangle)

\ InDOBC

ÐOBC =ÐOCB =1

(180 100 )2

° - ° =1

802

´ ° = 40°

ÐOBC = 40°

132. (d) 2 sina + 15 cos2a = 7 where a is acute angle

Þ 2 sina + 15 (1– sin2a) = 7

Þ 2 sina + 15 – 15 sin2a – 7 = 0

Þ – 15 sin2a+ 2 sina + 8 = 0

Þ 15 sin2a – 2 sina – 8 = 0

Let sina = t

So 15t2 – 2t – 8 = 0

15t2 – 12t + 10t – 8 = 0

3t (5t – 4) + 2 (5t – 4) = 0

Þ 5t – 4 = 0 3t + 2= 0

t = 45 t =2

3- (–ve value not possible)

\ sin a=4

5

cos a =2 25 4

5

-=

3

5

\ cot a =cos 3 5 3

sin 5 4 4

a= ´ =

a

133. (a) Volume of prism = base are × height= A × h

New volume =h

A2

´

\% decrease in volume =

AhAh

2 100Ah

-´

=1

100 50%2

´ =

134. (c) sinq + sin2q = 1

Þ sinq = 1 – sin2q

Þ sinq = cos2q

Squaring both sides

Þ sin2q = cos4q

Þ 1 – cos2q = cos4q

Þ cos2q + cos4q = 1

135. (b) 999x + 888y =1332

111(9x + 8y) = 1332

9x + 8y =1332

111= 12

9x + 8y = 12 ...(i)

888x + 999y =555

8x + 9y = 5 ...(ii)

Solving (i) and (ii)

x = 4 y = – 3

x + y = 4 – 3 = 1136. (a) 4x2 + 8x

= (2x)2 + 2(2x) (2) + (2)2

= (2x + 2)2 \ x2 + y2 + 2xy = (x + y)2

So, 4 should be added to make it perfect square.

137. (d)Q

PO

R

M

Line joining the centre is ̂bisector of common chord

\ QM = MR =1 1

QR 12 6cm2 2

= ´ =

InDOMQ,ÐOMQ = 90°

OQ2 = OM2 + MQ2 (Pythagorus theorem)

102 = OM2 + 62

OM2 = 100 – 36 = 64

OM =8cm

In DQMPÐQMP = 90°

QP2 = QM2 + PM2 (Pythagorus theorem)

82 = 62 + PM2

PM =64 – 36 = 28 2 7=

OP = OM + MP

= 8 2 7+

So distance between centres O and P

= 8 2 7 13.3 cm+ =138. (a) 239x – 239y + 5 = 0 writing this equation slop-intercept

in form

–239y = – 5 – 239x

239y = 5 + 239x

y =5

x239

+

So slope =tanq = 1

q= 45°

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139. (b) sin (A – B) = sin A cos B – cos A sin B\ sin (45° – 30°) = sin 45° cos 30° – cos 45° sin 30°

=1 3 1 1

2 22 2

æ ö æ ö´ - ´ç ÷ ç ÷ç ÷ è øè ø

=3 1

2 2 2 2- =

3 1

2 2

-

140. (c)

1

x x+

= 2Take cube on both sides

31

xx

æ ö+ç ÷

è ø= 23

3

3

1 1 1x 3(x) x

x xx

æ öæ ö+ + +ç ÷ç ÷

è øè ø= 8

3

3

1x 3(2)

x+ + = 8

3

3

1x

x+ = 2

Squaring on both sides

6

6

1x 2

x+ + = 4

6

6

1x

x+ = 2

Now multiplying both sides by x

6

6

1x x

x

æ ö+ç ÷

è ø= 2xÞ

7

5

1x

x+ = 2x

1x

x+ = 2

x2 +1 = 2xx2 – 2x + 1 = 0x2 – x – x +1 = 0x(x – 1) –1(x – 1)(x –1)2 = 0x = 1

So7

5

1x

x+ = 2(1) =2

141. (b) Number of stones required =Area of courtyard

Area of stones

=30 17.5

2.5 2

´

´=105

142. (d) Let height of the pillar is h mInDACD

tana =h

12

InDABD

tan (90 –a) =h

27 B C D

12 m27 m

A

h

9 0 –

a

a

cot a =h

27

1

tan a =

h

27

12

h =

h

27

h = 27 12 18cm´ =

143. (a) In DADC

Area of DADC = 1 DP AC2

´ ´

CD

A B

P

Q8 cm1 3 c m

Area ofDADC =1

8 242

´ ´ = 96 m2

Area ofDBAC =1

13 24

2

´ ´ = 156 m2

Area of Quadrilateral = 96 + 156 = 252 m2

144. (c)A

BD C

P

Q S R

Area of ABC

Area of PQR

D

D =

2

2

(AD)

(PS)

AD

PS=

9 3

16 4=

145. (c) A

B C

P

Q R

Perimeter ABC

Perimeter PQR

D

D=

AB

PQ

30

20=

9

PQ

PQ =20 9

30

´= 6 cm

146. (d) Amount spent on state development

=15

3,00,000100

´ = ` 45,000 crore

Amount spent on sports=18

3,00,000360 20

´

= `15,000 crore

So difference between amount spent on two heads

= 45,000 – 15,000 = 30,000 crores.

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147. (c) Money spent on non plan = 36°

36° is 10% of 360°

Money spent on defence = 15%

So percent of less money = 15 – 10 = 5%

148. (b) Money spent on others = 30%

Money spent on sports = 18°

18° is 5% of 360°

So difference = 30 – 5 = 25%

149. (a) Amount spent on health =54

1,00,000360

´

= ` 15,000 crore

Amount spent on education =10

1,00,000100

´

= ` 10,000 crore

Total amount spent = 15,000 +10,000 = 25,000 crore

150. (c) % of total spending spent on health

=54

100360

´ = 15%

PART-D : ENGLISH COMPREHENSION

161. (b) Annihilate means to destroy utterly.

162. (a) Query means a quest or pursuit for an object.

163. (c) Interference means act of interfering or obstructing.

164. (d) Verisimilitude means the state of being similar

Therefore, authenticity is the correct meaning of

verisimilitude.

165. (b) Conjecture means an opinion or guess formed on the

basis of incomplete information.

166. (d) Unscrupulous means having or showing no moral

principles whereas Conscientious means wishing to

do one's work or duty well. Therefore, Unscrupulous

is the antonym of Conscientious.

167. (d) Tranquil means free from disturbance. Therefore,tranquil is the antonym of disturbed.

168. (c) Enlarge means to make something larger or more

extensive whereas condense means to make something

more dense or compact. Therefore, enlarge is the

antonym of condense.

169. (a) Obsequious means obedient or attentive to an

excessive or servile degree whereas domineering

means trying to control the behaviour of others.

170. (c) Vacillate means to be indecisive whereas decide means

come or bring to a resolution. Therefore, Vacillate is

the antonym of decide.

181. (c) Somnambulism means sleepwalking.

182. (a) Emigrant means a person who leaves their own countryin order to settle permanently in another.

183. (b) Prim means feeling or showing disapproval of anything

184. (a) Inevitable means something which is certain to happen

185. (d) Rendition means a performance or interpretation,

especially of a dramatic role or piece of music.

2015 SP Sub Insp

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