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PART-A : GENERAL INTELLIGENCE & REASONING

DIRECTIONS (Qs. 1-5) : In questions below, select the relatedword/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 certaincommon 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 oddnumber/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) Rose9. (a) mmm qqq ttt (b) ccc ggg kkk

(c) kkk ooo sss (d) bbb fff jjj10. (a) 8110 (b) 1234

(c) 9100 (d) 118911. (a) Brass (b) Tin

(c) Bronze (d) Steel12. (a) TEAP (b) QIEM

(c) HIUL (d) ZOIV13. Arrange the following according to Dictionary.

1. Fenestration 2. Feather3. 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 meaningfulorder of the following?1. Rivulet 2. Ocean 3. Tributary4. 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 letterseries 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 alternativefrom 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 27 , 8 , 9 ,12 ,16 , ? 7 6 5 4 3

(a) 35 (b)502

(c)2154

(d)4164

19. Two persons A and B get the same salary. Their Basic payare different. The allowances are 65% and 80% of the basicpay 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 onone day but slipped back by 3m 40cms in the evening. Howfar 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

2015-2 SSC Sub-Inspector EXAM PAPER 2015

21. Two horses A and B run at a speed of 3:2 ratio in the firstlap; during the second lap the ratio differs by 4:7; duringthe third lap the ratio differs by 8:9. What is the differencein 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 givenalternative words, select the word which cannot be formed usingthe 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 correctanswer 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 canGREATNESS be written in that code?(a) HQFZSMFRT (b) HQFZUFRTM(c) HQFZUODTR (d) HQFZUMFRT

DIRECTIONS (Qs. 29-31) : In questions below, Select the missingnumber 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 betweenSociology, 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 startswalking. After a few minutes, she turns left and keeps onwalking. Then a little later she turns right and then left. Inwhich 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 andturns northward and walks 12 m. How far was she from herhome. Which was her starting point ?(a) 12 m (b) 9 m(c) 15 m (d) 10 m

37. Which venn diagram truly represents Teachers, Scholarsand Students ?

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

SSC Sub-Inspector EXAM PAPER 2015 2015-3

38. Which figure best represents the relationship betweenEditor, Newspaper and Journalist?

(a) (b)

(c) (d)

DIRECTIONS (Qs 39-40) : In question below one or twostatements are given followed by two conclusions I and II. Youhave to consider the statement to be true, even if it seems to be atvariance from commonly known facts. You are to decide whichof the given conclusions can definitely be drawn from the givenstatement. Indicate your answer.39. Statements: (a) Some schools are Laboratories

(b) All Laboratories are theatersConclusions: I. Some theatres are schools

II. No school is a theater(a) Neither conclusion I nor II follow(b) Conclusion I follows(c) Conclusion II follows(d) Conclusion I & II follows

40. Statement : Cactus plants are fleshy but need least waterConclusions: I. All fleshy plants are cactus

II. Cactus plants need least water(a) Neither I nor II follows (b) Only II follows(c) Both I and II follows (d) Only I follows

DIRECTIONS (Qs. 41-42) : In questions below, which anwserfigure will complete the pattern in the question figure ?41. Question figure :

Answer figures :

(a) (b) (c) (d)42. Question figure :

Answer figures :

(a) (b) (c) (d)43. If a mirror is placed on the line MN, then which of the answer

figures is the right image of the given figure.

Question figure :

Answer figures:

(a) (b) (c) (d)44. A Circular sheet of paper is folded in particular manner,

punched once and then unfolded. Find Out the manner inwhich the paper was folded and punched from amongst theanswer figures.Question figure :

Answer figure:

(a) (b) (c) (d)45. A piece of paper is folded and cut as shown below in the

question figures. From the given answer figures, indicatehow it will appear when opened.Question figure :

Anwser figures:

(a) (b) (c) (d)46. Select the answer figure which is the same as question figure.

Question figure:

Answer figures:

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


47. Which is the correct image if the picture is held in front of amirror?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 setof numbers as given in any one of the alternatives. The sets ofnumbers given in the alternatives are represented by two classes ofalphabets as in two matrices given below. The columns and rows ofMatrix I are numbered from 0 to 4 and that of Matrix II arenumbered from 5 to 9. A letter from these matrices can be representedfirst 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 40 Z M G R C1 J L D B G2 M B C M H3 R L N G I4 B D M R J

5 6 7 8 95 X K T E S6 Q A U X P7 U V O W E8 T Y A F U9 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 P1 N P A E M2 E M N P A3 P A E M N4 M N P A E

5 6 7 8 95 I L R S T6 R S T I L7 T I L R S8 L R S T I9 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 betweenthe 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 thanan 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 havelife 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 isdivided into.(a) Four parts (b) Five parts(c) Two parts (d) Three parts


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 tribesin the service has been provided in the Indian Constitutionunder :(a) Article 365 (b) Article 375(c) Article 315 (d) Article 335

66. Government of India has decided to integrate -------- withrecent 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 enactedthe 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 IndianConstitution 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 oppositeof 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 goesfrom:(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 musicand dancing ?(a) Jahangir (b) Babar(c) Aurangzeb (d) Humayun

86. Which of the following is the major copper producingcountry?(a) Indonesia (b) Russia(c) Sri Lanka (d) Chile

87. Interferons are synthesized in response to:(a) mycoplasma (b) fungi(c) virus (d) bacteria

88. 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.


90. Mac Iver says ‘Kinship creates society and society atlength 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 saidthat 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 ofthere 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’sForest 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 withprestigious “International women of courage” award on 4march 2014 at the state department ceremony inWashington 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 overand subject included in the State List, the resolution to theeffect 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 dutiesof 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 km

102. A trader marks his goods 20% above C.P. but allows hiscustomers a discount of 10. The C.P. of a blackboard, whichis sold for ` 216, is:(a) ` 200 (b) ` 180(c) ` 108 (d) ` 196

103. A bus moving at 40km per hour covers a distance in 6hours 15 minutes. If it travels the same distance at 50 kmper 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 andsells 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 0.070.04 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 theoriginal area of the triangle, its corresponding base mustbe decreased by:

(a)19 %8 (b)

19 %11

(c) 10% (d)19 %7

107. The mean of x and 1x

is M. Then the mean of x2 and 21

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 from40,000 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 originalprice. He got ` 40 more than the original price by selling itat 140% of the price at which he bought. The price of buyingthe watch was:(a) ` 900 (b) ` 600(c) ` 800 (d) ` 700


110. How many seconds will a train 120 metres long running therate of 36km/ hr take to cross a bridge of 360 metres inlength?(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 expendituresare in the ratio 12 : 7. Both save ` 3200 at the end of themonth, 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 manyminutes can 4 monkeys eat 4 bananas ?(a) 12 (b) 10(c) 4 (d) 8

113. A certain amount of money earns ̀ 540 as Simple Interestin 3 years. If it earns a Compound Interest of ` 376.20 atthe same rate of interest in 2 years, find the amount. (inrupees)(a) 2100 (b) 1600(c) 1800 (d) 2000

114. The average of some natural numbers is 15. If 30 is addedto first number and 5 is subtracted from the last number theaverage becomes 17.5 then the number of natural numberis:(a) 20 (b) 30(c) 15 (d) 10

115. The smallest whole number that is to be multiplied with59535 to make a perfect square number is x. The sum ofdigits 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 Fouryears 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)12

(c) 2 (d) 4

118. If 2x y3 - = x y3 + = 27 , then the value of x y3 - will be :

(a)13

(b)127

(c) 3 (d) 3119. 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 theseapples are bad and are thrown away. He sells the remainingapples at ` 3.50 each and makes a profit of ̀ 198. The % ofapples thrown away are :(a) 8% (b) 7%(c) 6% (d) 5%

121. 20 men can do a piece of work in 18 days. They workedtogether for 3 days, then 5 men joined them. In how manymore days is the work completed ?(a) 12 (b) 14(c) 15 (d) 13Study the bar graph and answer Q. 122 to 125.

0

10

20

30

40

50

60

120

500

200150

100

330

150

260

130150120

50

1996 1997 1998 1999 2000 2001Years

Quantity in lakh sugar bags

Value in crores rupees

122. The approximate percentage increase in quantity from 1997to 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 2000was.(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 x2 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 witheach edges of length 1cm is:

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

(c) 4sq.cm (d) 4 3 sq.cm128. The perimeter of a sheet of paper in the shape of a quadrant

of a circle is 75 cm. Its area would be 227

æ öp =ç ÷è ø

:

(a) 346.5 cm2 (b) 100 cm2

(c) 693 cm2 (d) 512.25 cm2


129. If in a triangle ABC, BE and CF are two mediansperpendicular to each other and if AB=19cm and AC=22cmthen 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 foundto be 40m longer when the sun’s altitude is 45° than whenit 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° thenOBCÐ is:

(a) 130° (b) 100°(c) 50° (d) 40°

132. If a is an acute angle and 2sin a + 15cos2a =7, then thevalue of cota is:

(a)45 (b)

54

(c)43 (d)

34

133. If the base of right prism remains same and the measures ofthe lateral edges are halved, then its volume will be reducedby:(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 = 1332888x + 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 resultingexpression 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 lengthof the common chord is 12 cm. Then the distance betweentheir 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 12 2+

140. If x + 1x

= 2, then the value of 75

1xx

+ is:

(a) 25 (b) 212

(c) 2 (d) 27

141. The number of paving stones each measuring 2.5m ×2mrequired to pave a rectangular courtyard 30m long and 17.5mwide, are:(a) 99 (b) 105(c) 33 (d) 80

142. From two points on the ground and lying on a straight linethrough the foot of a pillar, the two angles of elevation ofthe top of the pillar are complementary to each other. If thedistances of the two points from the foot of the pillar are 12metres and 27 metres and the two points lie on the sameside 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 theperpendiculars dropped on it from the remaining oppositevertices are 8m and 13m. The area of the field is:(a) 252 m2 (b) 1152 m2

(c) 96 m2 (d) 156 m2

144. Two isosceles triangles have equal vertical angles and theirareas are in the ratio 9:16. Then the ratio of theircorresponding 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 20cmrespectively. If one side of the first triangle is 9cm. Determinethe 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 aparticular year is given in the pie chart. Read the pie chart andanswer question below.

Defence15%

State development

15%

Non plan36%

Others30%

Sports 18%

Health54%

Education 10%

146. If the total amount spent by Government during the yearwas ` 3,00,000 crores, the amount spent on statedevelopment 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 ondefence is:(a) 12% (b) 15%(c) 5% (d) 10%


148. The percent of more money spent on others than that onsports is:(a) 26% (b) 25%(c) 28% (d) 27%

149. If the total amount spent by the Government during theyear was ̀ 1,00,000 crores, then the amount spent on healthand 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 partof the sentences have errors and some are correct. Find outwhich part of a sentence has an error and blacken the circle [·]corresponding to the appropriate letter (A,B,C). If a sentanceis free from error, blacken the circle corresponding to (D) inthe 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)

No error(D)

154. Hearing these strange noises above, /(A)

the thought at once occured to me /(B)

that thieves had entered the house./(C)

No error(D)

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

(A) (B)

the prominent figures all over the world. /(C)

No error(D)

DIRECTIONS (Qs. 156-160) : In questions below sentencesgiven with blanks are to be filled in with an appropriate word(s). Four alternatives are suggested for each question. Choosethe correct alternative out of the four and indicate it byblackening 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 _______ forbreath.(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 thefour alternatives, choose the one which best expresses themeaning 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) quake

163. 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 theword opposite in meaning to the given word and mark it in theAnswer 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


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, fouralternatives are given for the Idiom/Phrase underlined in thesentence. Choose the alternative which best expresses themeaning 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 hisoffice.(a) preparing soup (b) distributing soup(c) to be in trouble (d) drinking soup

174. 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 thesentence is underlined. Below are given alternatives to theunderlined part at (A), (B), (C) which may improve the sentence.Choose the correct alternative. In case no improvement is neededyour 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 questions below, out of thefour alternatives, choose the one which can be substituted forthe given words/sentences and indicate it by blackening theappropriate 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 andlive 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 wordsare given in each question, out of which only one word iscorrectly spelt, Find the correctly spelt word and mark youranswer in the Answer Sheet.186. (a) curiosity (b) quriocity

(c) curiousity (d) curioucity187. (a) Intecedent (b) Antecedant

(c) Antecedent (d) Entecedent188. (a) Symetry (b) Cemetery

(c) Cemetary (d) Cemetry189. (a) naseating (b) maditation

(c) delibarate (d) aberrance190. (a) ansestral (b) encestral

(c) ansastral (d) ancestralDIRECTIONS (Qs. 191-195) : In questions below, you have apassage with 5 questions. Read the passage carefully andchoose 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 asystematic basis in order to increase the stock of knowledge,including knowledge of man, culture and society, and the use ofthis stock of knowledge to devise new applications. It is used toestablish or confirm facts, reaffirm the results of pervious work,solve new or existing problems or develop new theories. To testthe validity of instruments, procedures or experiments researchmay replicate elements of prior projects, or the project as a whole.The primary purposes of basic research are documentation,discovery, interpretation or the research and development ofmethods and systems for the advancement of human knowledge.There are several forms of research : scientific, humanities,artistic, economic, social, business, marketing, etc.

Academic publishing describes a system that is necessaryin order for academic scholars to review the work and make itavailable for a wider audience. Most academic work is publishedin book form. There is also a large body of research that exists ineither a thesis or dissertation form. Many researchers spendtheir time applying for grants for research funds. These grantsare necessary not only for researchers to carry out their research,but also as a source of merit.


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 expressedin 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 followingpassage some of the words have been left out. Read the passagecarefully 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 photographsof the hand may 197 cholesterol levels in the body and serve asan early warning signal 198 poor lipid health without a standardblood test. Researchers believe the programme may be 199 in thefuture and 200 into mobile phones to enable it to analyses digitalimages of the hand captured in the camera on a mobile phone.196. (a) has been (b) are

(c) have (d) has197. (a) conceal (b) conjecture

(c) reveal (d) conduct198. (a) of (b) before

(c) at (d) by199. (a) resolved (b) refined

(c) retracted (d) recorded200 (a) formulated (b) featured

(c) loaded (d) fixed


PART-A : GENERAL INTELLIGENCE & REASONING1. (a) 9 × 3 – 3 = 24

3 × 3 – 3 = 62. (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 Athe left end (4) (3) (2) (1)

¯ ¯ ¯ ¯W X Y Z

Place value from (4) (3) (2) (1)the right endSimilarly,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 = 19Hence, (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


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 repeatedB 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 5077 7

=

2 5086 6

=

5 5095 5

=

2 50124 4

=

2 50163 3

=

50 50 50 50 50 50, , , , ,7 6 5 4 3 2

19. (c) Let basic pay of A = ` xLet basic pay of B = ` yAs per given conditionTotal salary = x + 0.65 x = 1.65 x of ATotal salary of B = y + 0.80y = 1.8y1.65x = 1.8 y

xy =

1.81.65 =

180165 =

1211

So ratio of basic pay = 12:1120. (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 7xSpeed of A and B in third lap = 8x and 9xTotal speed of horse A = 8x + 4x + 3x = 15xTotal speed of horse B = 9x + 7x + 2x = 18xDifference between A and B = 18x – 15x = 3xSo 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 – 816 + 9 – 825 –8 =17

25. (c) 7 × 6 ×4 = 674Similarly,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 = 244 + 7 + 3 = 142 + 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 = 239 × 5 = 4523 + 45 = 68

30. (d) 3 + 4 + 3 = 104 + 6 + 4 = 148 + 6 + 6 = 208 + 3 +8 = 19

31. (b) 9 × 8 – 7 = 656 × 5 – 4 = 267 × 6 – 3 = 39

33. (a) Humanities

SociologyPsychology

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

A B

C

D E

F

G H

I

JK

L MD ABC, D ACD, D ABD, D AFDD FGB, D HIG, D HJI, D IJKD HJK, D HML, D EKL, D CED


35. (b)Reshma’s starting point

AB

CD

E

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

S

EW

NENW

SW SE

Starting pointEndPoint 15

km

12 km

C

B

A

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

= (225 – 144)1/2 = (81)1/2 = 9 mHence, the answer is 9m

37. (a)

ScholarsStudents

Teachers

38. (d)

Editor Newspaper 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 againstcyclones and storms.

54. (c) Chemotherapy is the use of medicines or drugs to treatcancer.

55. (d) Oxygen is the most abundant element, making upabout 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 throughwhich a bank sets low interest rates so that credit iseasily achievable.

68. (a) Arya Samaj is an Indian religious reform movementfounded by Swami Dayananda on 7th April 1875.

73. (d) Edward Jenner is often called "the father ofimmunology".

74. (a) The Fundamental Rights are defined in Part III of theConstitution which apply to every Indian citizenirrespective of race, place of birth, religion, caste, creedor gender.

75. (a) Market equilibrium is a market state where the supplyin the market is equal to the demand in the market.

80. (d) Potash Alum is used to reduce bleeding in minor cutsand abrasions, nosebleeds, and haemorrhoids.

81. (d) The Cripps mission was an attempt in late March 1942by the British government to secure full Indiancooperation 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, producing1.79 million tons in 2013.

87. (c) Interferon is produced by the body's cells as adefensive response to viruses.

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

90. (d) "Kinship" says MacIver, creates society and societyat length creates the state."

98. (d) Laxmi, a victim of acid attack was selected by the USfor the prestigious International Women of CourageAward.

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

PART-C : QUANTITATIVE APTITUDE

101. (a) 2km 5m = 2 1005

+ = 2.005 km

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

=120 CP100

´

Discount = 10%


\ S.P. =100 10 120 CP

100 100-

´ ´

= 0.9 × 1.2 × CP = 1.08 CPS.P. = ̀ 216

C.P. = 2161.08 = ̀ 200

103. (d) Distance covered = Speed × Time = 2540 250 km4

´ =

New speed= 50 km/hour

\ Time taken to cover same distance = 250 5h50

=

104. (c) C.P. = ` 250S.P. = ` 10 per 50 g

= 1000 10

50´ = ̀ 200

\ Loss = 250 200 100 20%

250-

´ =

105. (d) 0.0539 – 0.002 = 0.05190.56 × 0.07 = 0.03920.0519 × 0.4 = 0.020760.04 × 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 bNew 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 h2 2

\ ´ ´ = ´ ´

B 1b 1.1

=

B = 0.9b\ Corresponding base must be decreased by

1 0.9 100 10%1

-´ =

107. (d) Mean of x and 1x

= M

Þ1 1x2 x

æ ö+ç ÷è ø

= M

Þ2x 12x

+= M

Mean of x2 and 21

x=

22

1 1x2 x

æ ö+ç ÷

è ø

=4

2x 12x

+

=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 1 100

40,000 2-

´ ´ = 10.5%

109. (b) CP = 0.75 × MPSP = MP + 401.4 CP = M.P + 401.4 (0.75) MP = M.P + 401.05 MP = M.P. + 40(1.05 – 1) MP = 40

M.P. = 40

0.05 = ` 800

\ CP = 0.75 M.P. = 0.75 × 800 = ̀ 600110. (a) Total distance = Length of train + Length of bridge

= 120 + 360 = 480 m

Speed = 36 km/h = 36 1000 10 m/ sec

3600´

=

So time = Distance 480 48 secSpeed 10

= =

111. (c) Ratio of income of x and y = 4 : 3Ratio of expenditure of x and y = 12 : 7Saving 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) = 6000a = ` 2000So income of x = ̀ 2000


112. (a) 12 monkeys can eat 12 bananas in 12 minutesSo 1 monkey can eat 1 banana in 12 minutes4 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 = ` 360CI of 2 years = ` 376.20Difference between CI and SI = 376.20 – 360

= ̀ 16.20If we take P = ` 180 R = R% and Time = 1 year

180 R 1 16.20100´ ´

=

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 x25 = 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 willbe perfect squareSo smallest whole number is 15.So sum of digits is 1 + 5 = 6

116. (c) Present age of A and B

A 3 A 3BB 1

= Þ =

4 years earlier ratio of ages of A and B

A 4 4B 4 1

-=

-= A – 4 = 4B – 16A – 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 63 8

+=

43 8

= ( )4 2 2 2 2 2 2

2 3 63 2 23 2 2= ´ = =

´

All 4 options are incorrect. Correct answer is 2 2 .6

118. (c) 32x – y = 3x + y = 3227 3=

Þ 2x – y = 32

x + y = 32

4x – 2y = 3 ...(i)2x + 2y = 3 ...(ii)Solving equation (i) and (ii)

x = 1 y = 12

Þ 1 112 23 3 3

-= =

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

100Cumulative change to be 0

So a + b + ab

100 = 0

Here a = x%

Soxbx b

100+ + = 0

Þxb 1

100æ ö+ç ÷è ø

= –x

b =x(100)

100 x-

+

=100x

100 x-

+– ve sign means decrease

So we need to decrease the number by 100x %

100 x+120. (d) C.P = ̀ 600

Let number of apples thrown = xSo number of apples left = 240 – xSo S.P.= (240 – x) 3.50

= 840 – 3.5xSo 840 – 3.5 x – 600 = 198

240 – 3.5 x = 198

x =42 123.5

=

So % age of apples thrown = 12 100 5%240

´ =


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

20 18 360=

´

20 men 3 days work = 1 13

18 6´ =

Remaining work = 1 516 6

- =

25 men 1 days work = 125

360´ =

572

Now 5

72 work is done by them in 1 day

56 work is done by them in

72 5 12 days5 6

´ =

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

= 150 130 200100 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 380100 100

500 500-

´ = ´ = 76%

None of the options are correctCorrect answer is 76%

124. (b) Difference between the bags exported in 1999 and2000 = 200 – 100 = 100 lakh = 100,00,000

125. (c) It is clear from bar graphValue per bag is minimum in 1996.

126. (a) As per given conditionx2 – 1896 = x – 4x2 – 1896 – x + 4 = 0x2 – x – 1892 = 0x2 – 44x + 43x – 1892 = 0x(x – 44) + 43 (x – 44) = 0(x – 44) (x + 43) = 0x = 44So value of x is 44.

127. (a)

1 cm

1 cm1 cm

1 cm 1 cm

1 cmRegular equilateral triangular pyramidTotal surface area of pyramid= 4 × Area of Equilateral triangle

= 34 (1)

4´ = 3 sq. cm

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

1 (2 r) 2 r4

p + = 75

2r 14pæ ö+ç ÷

è ø= 75

2r = 75(4)

4p +=

3004p +

r = 300 1

4 2´

p + = 21 cm

129. (c) In DABCBE is median of ACCF is median of AB

\ CE = 1 1AC 222 2

= ´

= 11 cm

A

B C

EF y

2x2y

x

22 cm

19 cm

O

BF = 1 1AB 192 2

= ´

= 9.5 cmBE and CF are medians of DABC which intersect apoint O.Ratio of OB and OE = 2 : 1Ratio of OC and OF = 2 : 1Let BO = 2x OE = xandOC = 2y OF = y

In D 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

In D OEF 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 towerIn DABC

tan 45° = hx

(Q tan 45° = 1)

h = x

In DABD tan 60° =h

x 40+


3 =h x

x 40 x 40=

+ +

( )3 1 x- = 40 3

x =40 3 3 1

3 1 3 1+

´- +

=( )40 3 3 1

3 1

+

-

= ( )20 3 3 1+ = ( )20 3 3 m+

131. (d) In DABCÐBAC = 50° (Given)O is circumcentre of DABCÐBOC = 2ÐBAC

A

O

B C

50°

= 2 ́ 50°= 100°

(Q Angle subtended by sides of orthocenter will bedouble the angle subtended by two sides of a triangle)\ In DOBC = OB = OC(Q Orthocenter O is equidistant from vertices of atriangle)\ In DOBC

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) = 7Þ 2 sina + 15 – 15 sin2a – 7 = 0Þ – 15 sin2a + 2 sina + 8 = 0Þ 15 sin2a – 2 sina – 8 = 0Let sina = tSo 15t2 – 2t – 8 = 0

15t2 – 12t + 10t – 8 = 03t (5t – 4) + 2 (5t – 4) = 0

Þ 5t – 4 = 0 3t + 2= 0

t = 45 t =

23

- (–ve value not possible)

\ sin a = 45

cos a = 2 25 45- =

35

\ cot a =cos 3 5 3sin 5 4 4

a= ´ =

a133. (a) Volume of prism = base are × height

= A × h

New volume =hA2

´

\ % decrease in volume =

AhAh2 100

Ah

-´

= 1 100 50%2

´ =

134. (c) sinq + sin2q = 1Þ sinq = 1 – sin2qÞ sinq = cos2qSquaring both sidesÞ sin2q = cos4qÞ 1 – cos2q = cos4qÞ cos2q + cos4q = 1

135. (b) 999x + 888y = 1332111(9x + 8y) = 1332

9x + 8y =1332111

= 12

9x + 8y = 12 ...(i)888x + 999y = 555

8x + 9y = 5 ...(ii)Solving (i) and (ii)x = 4 y = – 3x + y = 4 – 3 = 1

136. (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 1QR 12 6cm2 2

= ´ =

In DOMQ, ÐOMQ = 90°OQ2 = OM2 + MQ2 (Pythagorus theorem)102 = OM2 + 62

OM2 = 100 – 36 = 64OM = 8cm

In D QMP ÐQMP = 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 =5x

239+

So slope = tanq = 1q = 45°


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 12 2

-

140. (c)1xx

+ = 2

Take cube on both sides31x

xæ ö+ç ÷è ø

= 23

33

1 1 1x 3(x) xx xx

æ öæ ö+ + +ç ÷ç ÷è øè ø

= 8

33

1x 3(2)x

+ + = 8

33

1xx

+ = 2

Squaring on both sides

66

1x 2x

+ + = 4

66

1xx

+ = 2

Now multiplying both sides by x

66

1x xx

æ ö+ç ÷è ø

= 2x Þ 75

1xx

+ = 2x

1xx

+ = 2

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

So 75

1xx

+ = 2(1) =2

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

Area of stones

= 30 17.52.5 2

´´ =105

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

tana =h

12In DABD

tan (90 – a) =h27 B C D12 m

27 m

A

h

90 – aa

cot a =h27

1tan a =

h27

12h

=h27

h = 27 12 18cm´ =143. (a) In DADC

Area of D ADC = 1 DP AC2

´ ´

CD

A B

P

Q8 cm

13 cm

Area of DADC = 1 8 242

´ ´ = 96 m2

Area of DBAC = 1 13 242

´ ´ = 156 m2

Area of Quadrilateral = 96 + 156 = 252 m2

144. (c) A

B D C

P

Q S R

Area of ABCArea of PQR

DD =

2

2(AD)(PS)

ADPS =

9 316 4

=

145. (c) A

B C

P

Q R

Perimeter ABCPerimeter PQR

DD =

ABPQ

3020 =

9PQ

PQ = 20 9

30´

= 6 cm

146. (d) Amount spent on state development

= 153,00,000

100´ = ̀ 45,000 crore

Amount spent on sports= 183,00,000360 20

´

= ̀ 15,000 croreSo difference between amount spent on two heads= 45,000 – 15,000 = 30,000 crores.


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 = 541,00,000360

´

= ` 15,000 crore

Amount spent on education = 101,00,000100

´

= ` 10,000 croreTotal 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 ofverisimilitude.

165. (b) Conjecture means an opinion or guess formed on thebasis of incomplete information.

166. (d) Unscrupulous means having or showing no moralprinciples whereas Conscientious means wishing todo one's work or duty well. Therefore, Unscrupulousis 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 moreextensive whereas condense means to make somethingmore dense or compact. Therefore, enlarge is theantonym of condense.

169. (a) Obsequious means obedient or attentive to anexcessive or servile degree whereas domineeringmeans trying to control the behaviour of others.

170. (c) Vacillate means to be indecisive whereas decide meanscome or bring to a resolution. Therefore, Vacillate isthe antonym of decide.

181. (c) Somnambulism means sleepwalking.182. (a) Emigrant means a person who leaves their own country

in 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.

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