held on : 11-11-2012 (paper–i) (second sitting) ssc fci ... · 11/11/2012 · how many times is...

Held On : 11-11-2012 (Paper–I) (Second Sitting)

SSC FCI Assistant Grade–III ExamPart–A : General Intelligence

and ReasoningDirections (Q.1–6): Select the related letters/

word from the given alternatives.1. AFKP : ZUPK : : BGLQ : ?

A) XSNI B) YTOJC) ZVQM D) WRMH

2. Bees : Hum : : Owls : ?A) Roar B) TalkC) Hiss D) Hoot

3. Confirmed : Inveterate : : Financial : ?A) Callow B) IncredibleC) Bankrupt D) Knot

4. Furniture : Bench : : Stationery : ?A) Pen B) ChairC) Godown D) Office

5. Coal : Black diamond : : Petroleum : ?A) Solid gold B) Black goldC) Liquid gold D) White gold

6. Poster : Wall : : Photograph : ?A) Camera B) FilmC) Negative D) FrameDirections (Q.7–14): Find the odd number/

word/number pair from the given alternatives.7. A) Spice Jet B) Kingfisher

C) Air India D) Indigo8. A) 500 B) 413

C) 112 D) 4339. 37, 45, 49, 65, 79

A) 37 B) 45C) 49 D) 65

10. A) Hinduism B) CommunismC) Buddhism D) Jainism

11. A) Elephant B) TigerC) Lion D) Bear

12. A) Lakshadweep B) Tamil NaduC) Andhra Pradesh D) Kerala

13. A) College B) KindergartenC) School D) Education

14. A) 73 – 61 B) 57 – 69C) 42 – 29 D) 47 - 59Directions (Q.15–17): Select the missing

number from the given responses.15. 5 2 7

? 3 14 5 215 7 13A) 1 B) 5 C) 9 D) 7

16.48 12

25 5

64 16

81 9

? 15

49 7

A) 75 B) 60 C) 30 D) 90

17.

A) 9 B) 12 C) 8 D) 1318. Which one of the four interchanges in signs and

numbers would make the given equation correct ?6 × 4 + 2 = 16A) + and × and 4 B) + and ×, 2 and 4C) + and ×, 4 and 6 D) None of the above

19. The sum of a number and its reciprocal is 174

.

Find the numbers.

A) 2, 12

B) 4,14

C) 3, 13

D) 5,15

Directions (Q.20–22): A series is given withone term missing. Choose the correct alternativefrom the given ones that will complete the series.20. SFJ, RGK, QHL, ?

A) EMD B) VIJ C) PIM D) PKL21. 5, 22, 107, ?, 2657

A) 230 B) 1627 C) 728 D) 53222. 6, 24, 12, ?, 18, 8, 24, 0

A) 14 B) 18 C) 16 D) 2023. Which word will appear third in the dictionary?

A) Paralysis B) ParalyticC) Paralyse D) Parallelism

24. Arrange the following Indian Nobel Prize winnersin chronological order :1. Amartya Sen2. Mother Teresa3. Rabindranath Tagore4. Venkatraman Ramakrishna5. Sir CV RamanA) 3, 5, 2, 1, 4 B) 3, 2, 5, 4, 1C) 3, 4, 1, 2, 5 D) 3, 5, 2, 4, 1

25. Which one set of letters when sequentiallyplaced at the gaps in the given letter series shallcomplete it ?E_GF_E_FGF_EA) EGFG B) GFEF C) FEGG D) FGEGDirections (Q.26–27): Find out the missing

letters in the series.26. B2CD, __, BCD4, B5CD, BC6D

A) B2CD B) BCD2 C) BC3D D) BCD727. a, k, e, o, i, s, __, __, q, a, u, e

A) I, v B) m, v C) I, w D) m, w28. Find the wrong number in the series.

44, 38, 35, 37, 48, 76, 135A) 35 B) 37 C) 76 D) 135

29. From the given alternatives, select the wordwhich cannot be formed using the letters of thegiven word.

208 Previous Papers SSC Combined Graduate Level Exam (Tier–I)

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HALLUCINATIONA) LION B) LOANC) NATION D) LOTION

30. If MILITARY can be written as 12324567, howcan LIMIT be written in that code ?A) 32124 B) 42123 C) 12324 D) 42125

31. In a certain code, ‘R’ is ‘%’, ‘E’ is ‘#’, ‘D’ is ‘@’,and ‘A’ is ‘’. How is ‘DARE’ written in that code ?A) @ % # B) @ % #C) # % @ D) % # @

32. If 5472=18, 6342=15 and 7584=24, then 9236 = ?A) 18 B) 19 C) 20 D) 21

33. In a certain code, P is #, A is %, C is and E is@. How is ‘PACE’ written in that code ?A) ##% B) %@%C) #%@ D) %@#

34. If ‘ACTOR’ is coded as ‘ZXGLI’ and ‘BOOK’ iscoded as ‘YLLP’, then ‘PENCIL’ will be coded asA) KVMXRO B) KUMRXOC) KZIXDG D) KVMXOR

35. If 1986 is coded as o? ? ? and 2345 as ? ? ?� ,

then ? ? ? ??� will be the code forA) 865324 B) 896542C) 864325 D) 869243Directions (Q.36–37): In the following

questions, one/two statements are given followedby two conclusions I and II. You have to considerthe statements to be true, even if they seem to beat variance from commonly known facts. You haveto decide which of the given conclusions, if any,follow from the given statements.36. Statement:

Self-discipline is the key for order in the society.Conclusions:I. Disturbances in the society are due to people

without self-discipline.II. There is nobody with self-discipline in the

society.A) Both conclusions I and II followB) Neither conclusion I nor II followsC) Only conclusion I followsD) Only conclusion II follows

37. Statements:1. Reading is a good hobby.2. In order to use leisure time wisely, one can

engage in hobbies.Conclusions:I. Generally wise people will select reading as

a hobby.II. Reading can be used as one of the leisure

time hobbies.A) Only conclusion I followsB) Only conclusion II followsC) Neither conclusion I nor II followsD) Both conclusions I and II follows

38. Tarun is the father of Rohit. Rohit is the brotherof Kala. Kala is the wife of Dilip. How is Diliprelated to Rohit?

A) Brother-in-law B) Father-in-lawC) Son D) Uncle

39. How many times is 9 preceded by either 6 or 1and followed by either 5 or 8 in the followingseries?895176982198435913695A) 1 B) 2 C) 3 D) 4

40. The equation is solved on the basis of a certainsystem. Find out the correct answer for theunsolved equation on that basis.9 × 6 × 2 = 269, 8 × 6 × 5 = 568, 5 × 4 × 1 = ?A) 145 B) 415 C) 201 D) 451

41. Four kids, P, Q, R and S are up on the ladder, Pis further up the ladder than Q. Q is between Pand R. If S is further up than P, who is the thirdfrom the bottom?A) Q B) R C) P D) S

42. Study the following figures and find out thenumber opposite to 3.

A) 6 B) 4 C) 5 D) 243. Study the following figures and find out the

number opposite to 2.

A) 1 B) 4 C) 5 D) 644. Which answer figure will complete the pattern

in the question figure ?Question figure

Answer figures

A) B) C) D)45. Select the answer figure in which the question

figure is hidden.Question figure

Answer figures

A) B) C) D)

209SSC FCI Assistant Grade–III Exam, 11-11-2012 (Paper–I) (Second Sitting)

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46. In the following diagram, rectangle representspeople who read English newspaper, circlerepresents urban, and triangle represents peoplewho read Kannada newspaper. Which regionrepresents non-urban people who read Englishnewspaper?

A) N B) M C) P D) O47. Identify the answer figure from which the pieces

given in the question figure have been cut.Question figure

Answer figures

A) B) C) D)48. A square sheet of paper has been folded and

punched as shown by the question figures.Which one of the answer figures shows theappearance of the paper when opened?Question figures

Answer figures

A) B) C) D)49. How many cubes are unseen in the figure?

A) 5 B) 6 C) 10 D) 15

50. A word is represented by only one set ofnumbers as given in any one of thealternatives. The sets of numbers given inthe alternatives are represented by twoclasses of alphabets as in two matrices givenbelow. The columns and rows of Matrix–I arenumbered from 0 to 4 and that of Matrix–IIare numbered from 5 to 9. A letter from thesematrices can be represented first by its rowand next by its column, eg, C can berepresented by 14, 21, etc, and K can berepresented by 76, 88, etc. Similarly, youhave to identify the set for the word JADE.

Matrix–I

0 1 2 3 4

0 A B C D E

1 D E A B C

2 B C D E A

3 E A B C D

4 C D E A B

Matrix–II

5 6 7 8 9

5 I J K L M

6 L M I J K

7 J K L M I

8 M I J K L

9 K L M I J

A) 87, 43, 33, 42 B) 85, 43, 22, 30C) 75, 43, 10, 23 D) 75, 42, 10, 23

For Visually HandicappedCandidates Only

Directions (Q.42–44): A series is given, withone term missing. Choose the correct alternativefrom the given ones that will complete the series.42. mn, nop, op, pqr, qr, ?

A) rst B) stu C) qrs D) st43. 31 (CAGE) 75

89 (?) 45A) CALL B) SAFE C) HIDE D) HILL

44. YZWXUVSTQROP ?A) ON B) MN C) NO D) MO

45. Select the one which is different from the otherthree responses.A) MANNER B) ATTIREC) RESPECT D) PARITY


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46. If the value of A is 3, that of B its square, that ofC the square of B’s value and so on, what is thevalue of D?A) 8661 B) 9261 C) 6561 D) 6787

47. Find out one wrong number in the series.3, 5, 12, 39, 154, 772, 4634A) 5 B) 12 C) 39 D) 154

48. P is the father of Q, who is the brother of R. H isdaughter of M, who is the wife of P. How is Prelated to H?A) Daughter B) FatherC) Brother D) Uncle

49. Find the odd one.1. Week 2. Day 3. Month4. Time 5. YearA) 2 B) 3 C) 1 D) 4

50. The average age of a husband and wife who weremarried 6 years ago was 20 years then. Theaverage age of the family including the husband,the wife and the child which was born duringthe interval is 18 years now. How old is the childnow?A) 14 years B) 12 years C) 6 years D) 2 years

Part–B : General Awareness51. The addition to total cost by producing an

additional unit of output by a firm is calledA) Variable cost B) Average costC) Marginal cost D) Opportunity cost

52. In a perfectly competitive market, a firm’sA) Average Revenue is always equal to Marginal

RevenueB) Marginal Revenue is more than Average

RevenueC) Average Revenue is more than Marginal

RevenueD) Marginal Revenue and Average Revenue are

never equal53. Growing more than one crop on a piece of land

during the year, is known asA) Uni cropping B) Multiple croppingC) Double cropping D) Triple cropping

54. The main difference between Gross DomesticProduct (GDP) and Gross National Product(GNP) isA) Transfer paymentsB) Net foreign income from abroadC) Capital consumption allowanceD) Capital gains

55. ‘NABARD’is a/anA) BankB) Financial InstitutionC) Insurance CorporationD) Central Government Department

56. What is the basis of classification ofgovernments as unitary and federal?A) Relationship between legislature and

executiveB) Relationship between executive and judiciaryC) Relationship between the Centre and StatesD) Relationship between the legislature,

executive and judicial wings of government

57. Who appoints Secretary General of the LokSabha?A) Deputy Speaker B) SpeakerC) President D) Leader of Ruling Party

58. The Judge of Supreme Court hold office till theyreach the age ofA) 58 years B) 62 yearsC) 65 years D) 60 years

59. Which of the following is presided by a non-member?A) Lok Sabha B) Rajya SabhaC) Vidhan Sabha D) Vidhan Parishad

60. In the integration of Princely States, thefollowing played a major roleA) Pannikar and KunzruB) SK Dhar and Fazal AliC) Vallabhbhai Patel and VP MenonD) Vallabhbhai Patel and Jawaharlal Nehru

61. Who among the following Viceroys became avictim of one of the convicts during his visit tothe Andamans?A) Curzon B) MayoC) Ripon D) Lytton

62. The Third Battle of Panipat was fought betweenA) the Marathas and the AfghansB) the Marathas and the MughalsC) the Mughals and the AfghansD) the Marathas and the Rajputs

63. Who termed Cripps’ proposals as ‘a post datedcheque in a crashing bank’?A) Ambedkar B) Annie BesantC) Patel D) Gandhiji

64. The State Jhansi was made a part of the BritishEmpire in India throughA) Doctrine of LapseB) Policy of Subsidiary AllianceC) War against Rani Lakshmi BaiD) None of the above

65. Mahatma Gandhi started his Dandi March fromA) Dandi B) PorbandarC) Ahmedabad D) Sabarmati Ashram

66. Which type of lake is formed by volcanicactivities?A) Caldera lake B) Karst lakeC) Lagoon D) Fresh water lake

67. The well through which water comes out throughhydraulic pressure, is calledA) Ordinary well B) Tube wellC) Deep tube well D) Artesian well

68. Central Highlands of Indian peninsular block areformed ofA) Sedimentary and metamorphic rocksB) Igneous and sedimentary rocksC) Igneous and metamorphic rocksD) Sedimentary rocks

69. Which of the following is a renewable resource?A) Coal B) Mineral oilC) Natural gas D) Forests

70. In a desert region, soil erosion can be checked byA) Tree plantation/afforestationB) Crop rotationC) Contour ploughingD) Using farm manure


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71. Immunisation is a phenomenon of formation ofantibodies by using inactiveA) Antigens B) AntibodiesC) Chemicals D) Blood

72. Which of the following is a monogeneticparasite?A) Hydra B) FasciolaC) Ascaris D) Earthworm

73. Which of the following acids is synthesised inhuman stomach ?A) Sulphuric acid B) Nitric acidC) Hydrochloric acid D) Phosphoric acid

74. Filaria is transmitted byA) Aedes mosquito B) Anopheles mosquitoC) Culex mosquito D) Swamp mosquito

75. Which is the only mammal that can fly ?A) Whale B) BatC) Hen D) Lizard

76. Commonest mammal isA) ElephantB) LionC) Man (Homo sapiens)D) Panther

77. A vehicle will topple ifA) its centre of gravity is within the baseB) its centre of gravity is outside its baseC) it is less wideD) it is not heavy

78. The following is an amplifying deviceA) a transformer B) a transistorC) a diode D) a resistor

79. The air becomes heated byA) Conduction B) ConvectionC) Radiation D) Diffusion

80. The density of water isA) constant at all temperaturesB) maximum at 100°CC) maximum at 4°CD) maximum at – 4°C

81. A ‘bug’ in a program isA) Statement B) ErrorC) Syntax D) Both (B) and (C)

82. Which one of the following allows computers totransfer data using a telephone line ?A) Keyboard B) CPUC) Modem D) Printer

83. Laughing gas isA) Nitric oxide B) Nitrous oxideC) Nitrogen trioxide D) Nitrogen pentoxide

84. Clothes made of polyester dry quickly afterwashing becasuseA) water evaporates very quicklyB) polyester absorbs very little waterC) it is a water proof materialD) it absorbs heat quickly

85. Which one of the following pairs is correctlymatched ?A) Seismograph—recording intensity of

earthquake shockB) Pyknometer—measuring solar radiationC) Pyrometer—measuring density of liquidsD) Pyreheliometer—measuring high temperatures

86. When a gas is compressedA) only pressure increasesB) only temperature increasesC) both pressure and temperature increaseD) pressure increases and temperature

decreases87. Ozone layer in the upper parts of the atmosphere

serves as a protective shield against harmfulA) solar ultraviolet radiationB) solar infrared radiationC) CO2 in the airD) SO2 in the air

88. What is the impact of advancing glaciers on therings of trees?A) They become concentricB) Their shape is distortedC) They become widely spacedD) They are immune to this change

89. Which of the following cities in India isconsidered greenest?A) Bengaluru B) DelhiC) Chandigarh D) Thiruvananthapuram

90. Green manure is obtained fromA) Fresh animal excretaB) Decomposing green legume plantsC) Domestic vegetable wasteD) Oil seed husk cakes

91. Which one of the following represents the correctsequence of the countries included in theBRICS?A) Brazil, Russia, Indonesia, China, South AfricaB) Brazil, Russia, India, China, South AfricaC) Brazil, Romania, India, China, SpainD) Brazil, Russia, Indonesia, China, Sudan

92. Who among the following bowlers has taken morethan 500 wickets in test cricket?A) Wasim Akram B) Kapil DevC) Glenn McGrath D) Malcolm Marshall

93. Serena Williams of USA won the women’s singlesUS Open 2012 title by defeating in the finalA) Victoria Azarenka B) Maria SharapovaC) Venus Williams D) Agnieszka Radwanska

94. In which of the following States, is the ChildSex Ratio the lowest in India?A) Punjab B) HaryanaC) Chhattisgarh D) Bihar

95. The book ‘Satanic Verses’ was written byA) Agatha Christie B) Gunnar MyrdalC) Gabriela Sabatini D) Salman Rushdie

96. Metric system of measurement started in thecountry inA) 1954 B) 1955C) 1956 D) 1957

97. The Idukki hydroelectric plant is on riverA) Godavari B) KrishnaC) Periyar D) Tungabhadra

98. Name the temple in Indonesia where scenes fromRamayana and Mahabharatha are depictedA) Borobudur B) KailashnathC) Angkor Wat D) Brihadeshwara


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99. In which State is the Guru Shikhar peak located?A) Rajasthan B) GujaratC) Madhya Pradesh D) Maharashtra

100. The 16th Summit Meeting of NAN countries wasrecently held atA) Kabul B) TehranC) Dubai D) Manila

Part–C : Quantitative Aptitude101. If

51.844.32 = 12, then the value of

0.0051840.432 is

A) 0.12 B) 0.012 C) 0.0012 D) 1.2

102. The value of 3 0.000125 isA) 0.005 B) 0.05 C) 0.5 D) 0.0005

103. The number of odd composite divisors of 1848 isA) 4 B) 3 C) 2 D) 1

104. If 64x+1 = x644 , then the value of x is

A) 1 B) 0 C) 12 D) 2

105. I read 38 of a book on one day and

45 of the

remainder on another day. If there were 30pages unread now, how many pages did thebook contain ?A) 200 B) 60 C) 240 D) 65

106. The work done by (x – 1) men in (x + 1) days andthe work done by (x + 1) men in (x + 2) days arein the ratio 5 : 6 . x isA) 16 B) 10 C) 8 D) 6

107. A contractor undertook to build a road in 100days. He employed 90 men. After 40 days, he

found that 13 could be built. In order to complete

the work in time, the number of more men tobe employed isA) 30 B) 60 C) 120 D) 54

108. A dealer purchased a washing machine for`7,660. After allowing a discount of 12% on itsmarked price, he still gains 10%. Find themarked price of the washing machine.A) ̀ 9437.12 B) ̀ 8,426C) ̀ 8,246 D) ̀ 9,755

109. A dealer marks his goods 20% above cost price.He then allows some discount on it and makesa profit of 12%. The rate of discount is

A) 26 %3 B)

16 %

4C)

133 %3 D)

216 %3

110. A box filled with paper bundles weighs 36 kg. Ifthe weight of the box and paper bundlesrespectively are in the ratio of 3 : 22, then theweight of the papers in grams isA) 30680 B) 30710 C) 31500 D) 31680

111. Two numbers are such that the square of oneis 224 less than 8 times the square of the other.If the numbers are in the ratio of 3 : 4, thentheir values areA) 12,16 B) 6, 8 C) 9,12 D) 12, 9

112. In an exam, the average marks obtained by thestudents was found to be 60. After omission ofcomputational errors, the average marks ofsome 100 candidates had to be changed from60 to 30 and the average with respect to all theexaminees came down to 45 marks. The totalnumber of candidates who took the exam, wasA) 200 B) 210 C) 240 D) 180

113. The average pocket money of 3 friends A, B, Cis `80 in a particular month. If B spends doubleand C spends triple of what A spends duringthat month and if the average of their unspentpocket money is `60, then A spends (in `)A) 10 B) 20 C) 30 D) 40

114. An item when sold for `1,690 earned 30% profiton the cost price. Then the cost price isA) ̀ 507 B) ̀ 630 C) ̀ 1,300 D) ̀ 130

115. A man purchased an article and sold it to B at aprofit of 25% and B sold it to C at a loss of 10%and C paid `675 for it. For how much did Apurchase it (in `)?A) 625 B) 575 C) 600 D) 550

116. There is a rebate of 15%, if electric bills arepaid in due time. A man enjoyed a rebate of `54by paying the bill in time. What was his electricbill?A) ̀ 360 B) ̀ 240 C) ̀ 306 D) ̀ 630

117. A sold a tape-recorder to B for `4,860 at a lossof 19%. Again B sold it to C at a price that wouldgive A a profit of 17%. The gain of B is

A) 222 %9 B)

133 %3 C)

444 %9 D)

266 %3

118. Two trains start from a certain place on twoparallel tracks in the same direction. The speedof the trains are 45 km/hr and 40 km/hrrespectively. The distance between the twotrains after 45 minutes will beA) 2 km 500 m B) 2 km 750 mC) 3 km 750 m D) 3 km 250 m

119. The compound interest on a certain sum ofmoney for 2 years at 10% per annum is `420.The simple interest on the same sum at thesame rate and for the same time will beA) ̀ 350 B) ̀ 375 C) ̀ 380 D) ̀ 400

120. The radius of a metallic cylinder is 3 cm and itsheight is 5 cm. It is melted and moulded intosmall cones, each of height 1 cm and baseradius 1 mm. The number of such cones formed, isA) 450 B) 1350 C) 8500 D) 13500

121. A solid sphere of 6 cm diameter is melted andrecast into 8 solid spheres of equal volume.The radius (in cm) of each small sphere isA) 1.5 B) 3 C) 2 D) 2.5

122. The length of each edge of a regular tetrahedronis 12 cm. The area (in sq cm) of the total surfaceof the tetrahedron is

A) 288 3 B) 144 2 C) 108 3 D) 144 3


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123. The heights of two cones are in the ratio 1 : 3and the diameters of their bases are in the ratio3 : 5. The ratio of their volumes isA) 3 : 25 B) 4 : 25 C) 6 : 25 D) 7 : 25

124. The internal radius and thickness of a hollowmetallic pipe are 24 cm and 1 cm respectively.It is melted and recast into a solid cylinder ofequal length. The diameter of the solid cylinderwill beA) 7 cm B) 14 cm C) 10 cm D) 5 cm

125. A circle is inscribed in a square whose lengthof the diagonal is 12 2 cm. An equilateraltriangle is inscribed in that circle. The lengthof the side of the triangle isA) 4 3 cm B) 8 5 cmC) 6 3 cm D) 11 3 cm

126. If the perimeter of a square and a rectangle arethe same, then the areas P and Q enclosed bythem would satisfy the conditionA) P < Q B) P < Q C) P > Q D) P = Q

127. If x 1?x = 3, the value of x3 3

1?

x is

A) 32 B) 36 C) 40 D) 49128. The x-intercept of the graph of 5x + 6y = 30 is

A) 4 units B) 5 unitsC) 6 units D) 15 units

129. If 44

1 199? ?mm

, then 1?mm

= ?

A) ± 3 B) 4 C) ± 2 D) ± 1130. If ax + by =3, bx – ay = 4 and x2 + y2 = 1, then the

value of a2 + b2 isA) 1 B) 25 C) –1 D) – 25

131. If the area of a rectangle be (x2 + 7x + 10) sq cm,then one of the possible perimeters of it isA) (4x + 14)cm B) (2x + 14)cmC) (x + 14)cm D) (2x + 7)cm

132. The area of an equilateral triangle is 4 3 sqcm. Its perimeter isA) 12 cm B) 6 cm C) 8 cm D) 3 3 cm

133. I is the incentre of ABC. If ABC = 60°, BCA= 80°, then the BIC isA) 90° B) 100° C) 110° D) 120°

134. If two equal circles whose centres are O andO’, intersect each other at the points A and B,OO’ = 12 cm and AB = 16 cm, then the radius ofthe circles isA) 10 cm B) 8 cm C) 12 cm D) 14 cm

135. In ABC, draw BE ? AC and CF ? AB and theperpendicular BE and CF intersect at the pointO. If BAC = 70°, then the value of BOC isA) 125° B) 55° C) 150° D) 110°

136. Two circles of radii 9 cm and 2 cm respectivelyhave centres X and Y and XY = 17 cm. Circleof radius r cm, with centre Z touches two givencircles externally. If XZY = 90°, find r.A) 18 cm B) 3 cm C) 12 cm D) 6 cm

137. Three interior angles of a quadrilateral are 60°,120°, 90°. The remaining angle in circularmeasure is given by

A) c

3?

B) c

2?

C) c

4? D)

c34?

138. A man 6 ft tall casts a shadow 4 ft long at thesame time when a flag pole casts a shadow 50ft long. The height of the flag pole isA) 80 ft B) 75 ft C) 60 ft D) 70 ft

139. If 2 (cos2 – sin2) = 1, is a positive acuteangle, then the value of is

A) 60° B) 30° C) 45° D) 2212 °

140. The value of (2 cos2 – 1) 1 tan 1 tan1 tan 1 tan

? ? ? ?? ??? ?? ?? ? ? ? is

A) 4 B) 1 C) 3 D) 2141. If A and B are complementary to each other,

then the value of sec2 A + sec2 B – sec2 A sec2 B isA) 1 B) –1 C) 2 D) 0Directions (Q.142–145): Study the bar-graph

and answer the following questions:Bar-graph showing the wages

of workers in a factory

142. The total number of workers in the factory isA) 42 B) 48 C) 50 D) 46

143. The ratio of the number of workers placed inthe lowest wage group to that of the workers inthe highest wage group isA) 3 : 7 B) 8 : 9 C) 3 : 4 D) 2 : 3

144. The total amount of money (approximately)needed to pay the monthly wages of all theworkers isA) ̀ 69,100 B) ̀ 71,600C) ̀ 70,500 D) ̀ 69,500


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145. In which wage group is the amount of moneyneeded to pay the monthly wages the highest ?A) 1400-1500 B) 1500-1600C) 1700-1800 D) None of theseDirections (Q.146–150): The fol lowing

pie-diagram shows the expenditure incurred onthe preparation of a book by a publisher, underdifferent heads. Study the pie-diagram and answerthese questions.

146. Angle of the pie-chart representing expenditureincurred on paying royalty isA) 27° B) 36° C) 15° D) 54°

147. If the expenditure on printing and binding ofone book is `110, then the cost of productionof the book is (in `)A) 250 B) 200 C) 110 D) 550

148. If the cost of publishing a book is `200, thenprinting cost is (in `)A) 40 B) 60 C) 20 D) 50

149. Which two expenditures together will form anangle of 108° at the centre of the pie-diagram ?A) A and D B) A and CC) A and B D) A and E

150. The number of heads on which the expenditureof printing a book is more than the average isA) 3 B) 2C) 4 D) None of these


142. A, B and C invest ̀ 90,000, ̀ 80,000 and ̀ 70,000respectively in a business. A takes `6,000 permonth as salary as Manager and B takes `5,000per month as Assistant Manager, out of theirprofit. Share of C in a profit of `1,92,000 isA) ̀ 17,500 B) ̀ 56,000C) ̀ 52,500 D) ̀ 18,000

143. A dealer sells a mixture of 2 varieties of tea Aand B at `30 per kg making 25% profit. A costs`22 per kg. If they were mixed in the ratio 1 : 1,then the cost of variety B (in ` per kg) isA) 24 B) 26 C) 30 D) 22

144. If two-fifths of a number is 20 more than 20%of the same number, then the number isA) 50 B) 100 C) 150 D) 200

145. 12 men or 18 women can reap a field in 14 days.The number of days that 8 men and 16 womenwill take to reap it isA) 5 days B) 7 days C) 8 days D) 9 days

146. If `10,000 amounts to `11,664 in 2 years, therate of compound interest per annum isA) 11% B) 9% C) 6% D) 8%

147. If cosec + cot = x, then the value of cosec – cot is

A) 1x B) x C)

1?x D) 0

148. A train 100 metres long running at the speed of50 km/hr crosses a 120 metres long traincoming from the opposite direction in 6 seconds.The speed of the other train in km/hr isA) 70 B) 82 C) 65 D) 75

149. The radii of two concentric circles are 6 cm and10 cm. The chord of the greater circle is a tangentof the smaller circle. The length of the chord isA) 8 cm B) 12 cm C) 16 cm D) 18 cm

150. The 17th term of an arithmetic progressionexceeds its 10th term by 7. The commondifference isA) 10 B) 7 C) 2 D) 1

Part–D : English LanguageDirections (Q.151–155): In the following

questions, some parts of the sentences have errorsand some have none. Find out which part of asentence has an error and blacken the oval (•)corresponding to the appropriate letter (A, B, C).If a sentence is free from error, blacken the ovalcorresponding to D) in the Answer Sheet.151. On receiving the mark-sheet from the

University A)/I realised B)/that I had got onlypassing marks in English. C)/No error D)

152. When she knocked the door A)/I said to her,B)/‘come in.’ C)/No error D)

153. He said A)/that he will meet me B)/at therestaurant. C)/No error D)

154. Miss Rama Devi has A)/two elephants, tenhorses B)/and as much as fifty cars.C)/No error D)

155. The month of January A)/takes its name B)/ofthe Roman god Janus. C)/No error D)Directions (Q.156–160): In the following

questions, sentences are given with blanks to befilled in with an appropriate word(s) . Fouralternatives are suggested for each question.Choose the correct alternative out of the four andindicate it by blackening the appropriate oval.156. They have lost _________ of their contacts.

A) little B) muchC) many D) small

157. I praise _________ honesty of this boy.A) a B) anC) the D) your


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158. Three _________ four make seven.A) with B) intoC) in D) fand

159. The officer _________ the car to speak to thedriver.A) stops B) has stoppedC) stopped D) had stopped

160. I have to recite Tagore’s sonnet, I will be the_________ one to do so in my school.A) earliest B) initialC) solitary D) onlyDirections (Q.161–165): In the following

questions, out of the four alternatives, choosethe one which best expresses the meaning of thegiven word.161. Economical

A) extravagant B) lavishC) thrifty D) stingy

162. SuperficialA) defective B) superiorC) deep D) shallow

163. ManiaA) greatness B) fameC) madness D) wisdom

164. PerishA) disintegrate B) dieC) destroy D) vanish

165. AllureA) tempt B) attemptC) deceive D) praiseDirections (Q.166–170): In the following

questions, choose the word opposite in meaningto the given word.166. Malicious

A) malevolent B) spitefulC) baneful D) benign

167. EmergeA) disappear B) fallC) mark D) fade

168. AmpleA) sufficient B) minimalC) meagre D) optimal

169. CurbA) help B) allowC) restrain D) remove

170. CrookedA) twisted B) deviousC) bended D) straightDirections (Q.171–175): In the following

questions, four alternatives are given for theidiom/phrase bold in the sentence. Choose thealternative which best expresses the meaning ofthe idiom/phrase.171. He left the town under a cloud.

A) of his own accordB) in disgraceC) with a heavy heartD) when it was raining

172. The young boy’s act put his father in a pickle.A) in a funny positionB) in a serious positionC) in a sad situationD) in an embarrassing or awkward situation

173. They got on well with each other the momentthey met.A) had an agreementB) had a misunderstandingC) had a friendly relationshipD) fell in love

174. She tried to slip off, but was caughtimmediately.A) steal quietly B) go quicklyC) leave quietly D) slide quickly

175. I am looking forward to her arrival.A) afraid ofB) expecting with pleasureC) expectingD) confident ofDirections (Q.176–180): In the following

questions, a part of the sentence is bold. Beloware given alternatives to the bold part at A), B)and C) which may improve the sentence. Choosethe correct alternative. In case no improvementis needed, your answer is D).176. He has been growing weaker and his life now

hangs with a thread.A) on B) toC) by D) No improvement

177. The passengers were afraid, but the captainconsoled them that there was no danger.A) guaranteed B) assuredC) confided D) No improvement

178. Would you like some water ?A) Can B) DoC) Shall D) No improvement

179. The injured man had been shot from his back.A) in the back B) to the backC) by his back D) No improvement

180. Luckily we’ve got the few minutes to spare.A) quite few B) a littleC) a few D) No improvementDirections (Q.181–185): In the following

questions, out of the four alternatives, choosethe one which can be substituted for the givenwords/sentence181. A place of good climate for invalids

A) Hospital B) AsylumC) Sanatorium D) Retreat

182. To bite like a ratA) Chew B) CutC) Split D) Gnaw

183. A style in which a writer makes display of hisknowledge.A) Ornate B) PedanticC) Artificial D) Showy

184. A list of books available in a libraryA) Catalogue B) BibliographyC) Booklist D) Index


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185. One who performs daring gymnastic featsA) Athlete B) JugglerC) Acrobat D) ConjurorDirections (Q.186–190): In the following

questions, there are four different words out ofwhich one is correctly spelt. Find the correctlyspelt word and indicate it by blackening theappropriate oval (•).186. A) literate B) litterate

C) litarate D) litarete187. A) ettiquet B) etiquette

C) etiquet D) etiqquet188. A) shcolar B) scholar

C) scoler D) schollar189. A) consensus B) consenzas

C) concensus D) concensas190. A) upheval B) uphieval

C) upheaval D) upheivalDirections (Q.191–200): In the following

questions, you have a passage with 10 questions.Read the passage carefully andchoose the best answer to each question out ofthe four alternatives.

Passage(Q. No. 191–200)

Long ago men spent most of their time lookingfor food. They ate anything they could find. Some livedmostly on plants. They ate the fruit, stems, and leavesof some plants and the roots of others. When foodwas scarce, they ate the bark of trees. If they werelucky, they would find a bird’s nest with eggs. Peoplewho lived near the water ate fish or anything thatwashed ashore, even rotten whales. Some people alsoate insects and small animals like lizards that wereeasy to kill.

Later, men learned to make weapons. Withweapons, they could kill larger animals for meat. Theseearly people had big appetites. If they killed an animal,they would drink the blood, eat the meat, and chewthe bones. When they finished the meal, there wasnothing left.

At first men wandered from place to place tofind their food. But when they began to grow plants,they stayed in one place and ate what they could grow.They tamed animals, trained them to work, and killedthem for meat. Life was a little better then, but therewas still not much variety in their meals. Day afterday people ate the same foods.

Gradually men began to travel greaterdistances. The explorers who sailed unknown seasfound new lands. And in these lands they found newfoods and spices and took them back home.

The Portuguese who sailed around the stormyCape of Good Hope to reach China took back “Chineseapples”, the fruit we call oranges today. Later,Portuguese colonists carried orange seeds to Brazil.From Brazil oranges were brought to California, thefirst place to grow oranges in the United States.Peaches and melons also came from China. So did anew drink, tea.

191. What did men eat if there was shortage of food?A) Rotten whalesB) The bark of treesC) The root of treesD) A bird’s nest with eggs

192. If men tamed animals, they made the animals___________ for them.A) race B) searchC) work D) hunt

193. Where did oranges come from?A) Brazil B) ChinaC) USA D) Portugal

194. What difference did weapons make in the kindsof food men ate?A) With weapons, they could kill animals.B) With weapons, they could kill both birds and

animals for meat.C) With weapon, they could kill all kinds of

animals for meat.D) With weapons, they could kill larger animals

for meat.195. Which of the following statements is not true?

A) The Portuguese colonists carried orangeseeds to Brazil.

B) Oranges grow in California, in the UnitedStates.

C) Explorers took back home new foods andspices.

D) Peaches, melons, oranges, tea and spicescame from China.

196. The phrase ‘live on’ in the passage meansA) to eat a certain kind of food in order to

survive.B) to eat greedily.C) to eat everything that you are given to eat.D) to depend on plants and foods for a

livelihood.197. At first men wandered from place to place to

find their food. Then some of them began tostay in one place. Why?A) Because they began to grow plants, and

ate what they could grow.B) Because they tamed animals and birds, and

killed them for meat.C) Because they trained wild animals and

killed them for meat.D) Because they began to grow plants and

fruits /and ate what they could grow.198. Which word in the passage means ‘the main

axis of a plant that bears buds and shoots’?A) Roots B) StemsC) Bark D) Leaves

199. What does the word ‘stormy’ in the expression‘the stormy Cape of Good Hope’ mean?A) Volcanic B) StrongC) Hopeless D) Rough

200. Which of the following titles best expressesthe main idea of the passage?A) Eat Healthy FoodB) The Search for FoodC) The Foods We EatD) Great Food Regions of the World


KKUNDAN

Answers and explanations1. B; As, Opposite

A F K P Z U P K(Pair of opposite letters)Similarly,B G L Q Y T O J(Pair of opposite letters)

2. D; As, the sound of bees is known as ‘Hum’,similarly, the sound of owls is known as ‘Hoot’.

3. C; As, ‘Confirmed’ is related with ‘Inveterate’,similarly, ‘Financial’ is related as ‘Bankrupt’.

4. A; As, ‘Bench’ is related with ‘Furniture’, similarly,‘Pen’ is related with ‘Stationery’.

5. C; As, ‘Coal’ is known as ‘Black diamond’, similarly,‘Petroleum’ is known as ‘Liquid gold’.

6. D; As, the ‘Poster’ is fixed at ‘Wall’, similarly,‘Photograph’ is fixed in ‘Frame’.

7. C; Rest others are private airlines.8. D; Rest others are not prime numbers.9. C’ ‘49’ is a natural number as well as a perfect

square number.10. B; Rest others are different types of religions.11. A; Rest others are non-vegetarians.12. A; Lakshadweep is an Union Territory whereas

others are States.13. D; Rest others are related with education.14. C; Rest others have the difference of 12.15. B; As, 2 × 5 = 10, 10 – 3 = 7

and 7 × 2 = 14, 14 – 1 = 13Similarly,5 × 4 = 20, 20 – ? = 15? = 5

16. B; As,12 × 4 = 48 and (5)2 = 2516 × 4 = 64 and (9)2 = 81Similarly,15 × 4 = 60 and (7)2 = 49

17. B; As,(27 + 18 ) – (12 + 13) = 20and (16 + 12 ) – ( 6 + 9) = 13Similarly,(10 + 11) – (5 + 4) = 12

18. D19. B; Let the number be x.

Now, according to the question,

1 174

? ?xx

4x2 + 4 = 17x4x2 – 17x + 4 = 0(x – 4) (4x – 1) = 0

x = 4 and 14

20. C;

21. D;

22. C;

23. A; Parallelism, Paralyse, Paralysis, Paralytic.24. A; 1. Rabindranath Tagore — 1913 (3)

2. Sir CV Raman — 1930 (5)3. Mother Teresa — 1979 (2)4. Amartya Sen — 1998 (1)5. Venkatraman Ramakrishna — 2009 (4) (–)

25. B; EGGF/FEEF/GFFE26. C; B2CD, BC3D, BCD4, B5CD, BC6D

27. D;

28. B; 37 is a prime number.29. D; In the given word ‘O’ comes once, therefore

the word LOTION cannot be formed.30. A; As, M I L I T A R Y

1 2 3 2 4 5 6 7

Similarly, L I M I T 3 2 1 2 4

31. B; D A R E @ % #

32. C; As, 5472 5 + 4 + 7 + 2 = 186342 6 + 3 + 4 + 2 = 157584 7 + 5 + 8 + 4 = 24

Similarly, 9236 9 + 2 + 3 + 6 = 2033. C; P A C E

# % @

34. A; As, A C T O R(Pair of opposite letters)

Z X G L I

and B O O K Y L L P

(Pair of opposite letters)


KKUNDAN

Similarly, P E N C I L K V M X R O

(Pair of opposite letters)35. A; As, 1 9 8 6

? O >

and 2 3 4 5 + × ? �

Similarly, > � × + ? 8 6 5 3 2 4

36. B 37. B38. A; From family tree, we have

Clearly, Dilip is brother-in-law of Rohit.39. C; 698, 198, 695

40. A; As,

and

Similarly,

41. C;

42. C 43. C 44. C 45. B 46. B 47. C 48. D49. B; The number of unseen cubes are 6 (5 at the

bottom and 1 at the middle).50. C; J 56, 68, 75, 87, 99

A 00, 12, 24, 31, 43D 03, 10, 22, 34, 41E 04, 11, 23, 30, 42

Options J A D E

A) 87 43 33 42

B) 85 43 22 30

C) 75 43 10 23

D) 74 42 10 23


42. A;

43. C; As, 31 (C A G E) 75 3 1 7 5

Similarly, 89 (H I D E) 45 8 9 4 5

44. B;

45. B; Rest others are related to human behaviour.46. C; A = 3, B = (3)2 = 9, C = (9)2 = 81,

D = (81)2 = 6561

47. C;

Correct number = 12 × 3 + 2 = 36 + 2 = 38 Required wrong number = 39.

48. B; Draw family tree as given below :

Clearly, P is father of H.49. D; Rest others are related to calendar.50. D; The total age of husband and wife six years

ago.= 20 × 2 years = 40 yearsThe present age of husband and wife= (40 + 6 × 2) years = 52 years The age of child now = (18 × 3 – 52) years= (54 – 52) years = 2 years

51. C 52. B 53. B 54. B 55. B 56. C57. B 58. C 59. B 60. C 61. B 62. A63. D 64. A 65. D 66. A 67. D 68. C69. D 70. A 71. A 72. A 73. B 74. A75. B 76. C 77. B 78. C 79. A 80. C


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81. B 82. C 83. B 84. B 85. A 86. C87. A 88. A 89. C 90. B 91. B 92. C93. A94. B; According to the India’s Census 2011, the

Child Sex Ratio is as given below: Haryana—830; Punjab—846; Bihar—933 andChhattisgarh—964.

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

101. B; The given expression 0.005184

0.432?

5184 51.84 100432 1000 4.32 100 1000

?? ?? ? ?

51.84 1 12 0.0124.32 1000 1000

? ? ? ?

102. B; 33 0.000125 0.05 0.05 0.05? ? ?1

33(0.05) 0.05

?? ?

103. B;

Reqd. number of composite odd divisors are 3.

104. B; (64)×+1 = 644x (64)x×4x = 1

(4)3x×4x = 1 (4)4x = 1 = 4° 4x = 0 x = 0

105. C; Let the total number of pages of the book be x.

No. of pages read on one day = 38x

No. of remaining pages = x 3 58 8

? ?x x

No. of pages read on second day

= 5 48 5 2

? ?x x

No. of remaining pages after second day

= 3

2 8 8? ? ?x x xx


308

?x

x = 240106. A; From the question,

( 1)( 1) 5( 1)( 2) 6

? ??

? ?x xx x 6x – 6 = 5x + 10 x = 16

107. A; Remaining work = 1 213 3

part and

remaining time = (100–40 =) 60 days

1 2:: : 90 :3 3

60: 40

?????

x

x = 2 3 140 90 1203 1 60

? ? ? ? ?

No. of more men to be employed = 120–90 = 30

108. A; Let the marked price of the washing machinebe `x.

SP after 12% discount = x ×(100 –12)

100

= `2225

x ................ (i)

CP of the machine = `7660

SP of machine for 10% gain = 7660 × 110100

= ̀ 8426Now, according to the question,2225 x = 8426

x = 8426 2522

? = `9575

109. A; Let CP of the goods be `100 MP of the goods = `(100 + 20) = `120and SP of the goods = `100 + 12 = `112Total discount = 120 – 112 = `8

Rate of discount = 8 100%

120? =

26 %3

110. D; Weight of papers = 22

(22 3)? × 36 kg

= 22 36

25?

× 1000g = 31680g

111. B; Let the numbers be 3x and 4x .Now, according to the question,(3x)2 × 8 = (4x)2 + 224 72x2 = 16x2 + 224 56x2 = 224 x2 = 4 = (2)2 x = 2 The numbers are 6 and 8.

112. A; Let the total number of candidates be x.According to the question,100 × 30 + (x – 100) × 60 = x × 45 3000 + 60x – 6000 = 45x (60 – 45) x = 6000 – 3000

x = 300015 = 200

113. A; Total pocket money = 80 × 3 = `240and unspent money = 60 × 3 = `180 Spent money = 240 – 180 = `60As the ratio of the money spent by A, B and C= 1 : 2 : 3


KKUNDAN

Money spent by A = 60( 2 3 )

?? ?

xx x x

1 606

? ? = `10

114. C; By Rule of Fraction : cost price of the item

= 1690 × 100

100 30

= 1690 × 100130 = ̀ 1300

115. C; Let the CP of the article be `x for A.

CP of the article for B = 125

100?x

= `54x

and CP of the article for C = 5 100 104 100x ?? ?? ? ?? ?

= 5 904 100

?x= ̀

98x

Now, according to the question,9 6758

?x

x = 675 × 89 = `600

116. A; Electric bill = 54 × 10015 = `360

117. C; According to the question, CP of tape recorder for B = `4860

CP of tape recorder for A = 4860 × 100

100 19

= 486000

81= ̀ 6000

SP of tape recorder for B = 6000 × 117100 = ̀ 7020

The per cent gain for B

= 7020 4860 100%

4860? ? =

21600 %486

= 400 4% 44 %

9 9?

118. C; Relative speed of the trains = (45–40=) 5km/hr

Reqd. distance = 45 15

560 4

? ?? ?? ?? ? km

= 3 km 750 m

119. D; Quicker Method : SI = 2

2100

?? ??? ?? ?

ar

[Here a = 420 and r = 10%]

= 2 420 2 420 100

10 2102100

? ? ??

? ??? ?? ?

= `400

120. D; Volume of the cylinder = (3)2 × 5 = 45 cm3

and volume of the one cone21 1 11

3 10 300? ?? ? ? ? ?? ?? ? cm3

required number of cones

45 13500300

?? ? ? ?

121. A; Volume of solid sphere = 34 (3)3

? = 36 cm3

Volume of one small sphere = 36 98 2

? ? ? cm3

Let r cm be the radius of small sphere.Now, according to the question,

34 93 2

? ? ?r

3

3 8 3 27 32 4 8 2

? ?? ? ? ? ? ?? ?r

r = 2 1.53

? cm

122. D; Since each face of the regular tetrahedronis an equilateral triangle of each side of 12 cm.

Reqd. area of the total surface of the

tetrahedron 234 (12)4

? ? ?

3 144? ? = 144 3 cm3

123. A; Let the heights of the cones be h and 3hrespectively and diameters of the bases be3d and 5d respectively.


Ratio in their volumes = 21 3

3 2d? ??? ?? ?

21 5 9 25: 3 : 3 3 : 253 2 4 4

dh h? ?? ? ? ? ? ?? ?? ?124. B; Let the diameter of the solid cylinder be d cm.

Now, according to the question,2

2d? ??? ?? ? × l = (252 – 242) × l

2

249 (7)4

d? ?

d = 7 × 2 = 14 cm125. C; Let the side of the square be x cm.

According to the question,Diagonal of the square = 2 12 2x ? cm x = 12 cm


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Diameter of the circle inscribed in the square= Side of the square = 12 cm

Radius of the inscribed circle = 1 (12)2 cm

= 6 cm = rLet the side of the equilateral triangle be a cm.Now, according to the question,

2a

= r cos 30°

2a

= 6 × 32

a = 6 3 cm

126. C; 4a = 2( l + b) a = 2l b?

2

2l b lb?? ? ?? ?? ?

P > Q

127. B; 1 3xx

? ?

On Cubing both sides,

3

31 (3)xx

? ?? ?? ?? ?

3

31 3(3) 27xx

? ? ?

3

31 27 9 36xx

? ? ? ?

128. C; The graph of 5x + 6x = 30 is a straight line andfor x-intercept, put y = 0. Then,5x + 6 × 0 = 30

Reqd. x-intercept = x = 305 = 6 units

129. A; m4 + 41 119

m?

m4 + 41 2 121

m? ? = (+ 11)2

m2 + 21

11m

? ?

m2 + 21 2 9

m? ? ? or – 13

21 9

m

m

1 3mm

? ? ?

130. B; According to the question, (ax + by)2 = 32 a2x2 + b2y2 + 2abxy = 9 .... (i)

(bx —ay)2 = 42 b2x2 + a2y2–2abxy = 16 .... (ii)On adding both equations (i) and (ii), we get(a2 + b2) (x2 + y2) = 9 + 16

[x2 + y2 = 1] a2 + b2 = 25

131. A; Area of a rectangle = x2 + 7x + 10 = (x + 5) (x + 2) Possible perimeter = 2 (x + 5 + x + 2)= (4x + 14) cm

132. A; As the area of the equilateral = 34

side2

34

(side)2 = 4 3

(side)2 = 16 = (4)2 side = 4 Perimeter of the equilateral = (3 × 4 =) 12 cm

133. C; BCA = 80° BCI = 40°and ABC = 60° IBC = 30°

In IBC,BIC = 180° – (40° + 30°) = 110°

134. A; As circles are equal OC = O’C = 6 cm

and AC = BC = 8 cmRadii of both circles = O’A OA = 2 26 8? = 10 cm

135. D; B + C = 180° – 70° = 110°In BEC,C + CBE = 90°


KKUNDAN

CBE = 90 –Cand in BCF, BCF = 90 – BIn OBC,90° – C + 90 – B + BOC = 180°

BOC = 180° – 90° – 90° + (B + C) = 180° – 90° – 90° + 110° = 110°

136. D; According to the question,XY = 17 cm and XZY = 90°

XZ2 + YZ2 = XY2 (9 + r)2 + (2 + r)2 = 172

81 + 18r + r2 + 4 + 4r + r2 = 2892r2 + 22r + 85 = 289r2 + 11r – 102 = 0 (r – 6) (r + 17) = 0r = 6 or – 17Value of r = 6 cm

137. B; 4th angle = 230° – (60° + 120° + 90°) = 90°

= 90° × 180 2

c c? ???

138. B; Height of the man Height of the flagShadow of the man Shadow of the flag

?

6 Height of the flag4 50

?

Height of the flag = 6 50

754

?? ft.

139. B; 2 (cos2 – sin2) = 1

cos2 – sin2 = 12

cos2 = cos 60° 2 = 60° = 30°

140. D; (2 cos2 – 1) 1 tan 1 tan1 tan 1 tan

? ? ? ?? ??? ?? ? ? ?? ?2

2

2

1 2tan tan

1 tan 2tancos 21 tan

? ?? ? ? ?? ?? ?? ? ? ? ?? ? ? ?

? ?? ?? ?? ?

2

22 2tan

cos 21 tan

? ?? ?? ? ? ?

? ?? ?? ?

2

21 tan

2cos21 tan

? ?? ? ?

? ?

2 2

2

2 2

2

cossin2cos2

cos sinsin

sin ? ? ??? ? ?

? ? ??

12cos 2cos2

? ? ?? = 2

141. D; Since A and B are complementary to eachother, therefore,B = 90° – A tan B = tan (90° – A) = cot AThe given expression= sec2 A+sec2B–sec2 A.sec2 B= (1 + tan2A) + (1+ tan2B)– (1 + tan2A) (1 + tan2B)= (2 + tan2 A + tan2B) – (1 + tan2A + tan2B + tan2 A + tan2 B)= 1 – tan2 A.tan2 B = 1 – tan2 A.cot2 A = 1 – 1 = 0

142. C; Total no. of workers= 3 + 8 + 5 + 4 + 9 + 8 + 6 + 7 = 50

143. A; Reqd. ratio = 3 : 7144. A; Reqd. money = 1000 × 3 + 1100 × 8

+ 1200 × 5 + 1300 × 4+ 1400 × 9 + 1500 × 8+ 1600 × 6 + 1700 × 7= 3000 + 8800 + 6000 + 5200 + 12600 + 12000 +9600 + 11900 = ̀ 69100

145. A; Highest monthly wages = 12600 + 12000 = `24600 Reqd. wage group = 1400 – 1500

146. D; Reqd. angle on paying royalty = 15 360

100? ?= 54°

147. B; Expenditure on printing and binding = `110 (25% + 30%) ie, 55% expenditure = `110 Cost of production of book ie, 100%

= 110 100

55?

= ̀ 200

148. D; Cost of publishing a book ie, 100% = `200 Reqd. printing cost (ie, 25%)

= 200 25

100?

= ̀ 50

149. A; Angle of 108° = 108 100%360

? ?? = 30% = 20% + 10%

= A + D = A and D150. B; Average expenditure of printing on 5 heads

= 100 % 20%

5?

Reqd. number of heads, more expenditurethan average = 2 (Two) ie,(B = 25% and C = 30%)


142. A; Manager’s share = 12 × 6000 + 12 × 5000= 72000 + 60000 = ̀ 1,32,000Net profit = 1,92,000 –1,32,000 = 60,000Total investment of A, B and C= 90,000 + 80,000 + 70,000 = 2,40,000

C’s share in profit = 60,000 × 70,000

2,40,000 = `17,500

143. B; Let the cost of tea of variety B = `x/kg Cost of mixture for 25% profit

= ̀ 30/kg × 100125 = ̀ 24/kg


KKUNDAN

Since, they were mixed in the ratio 1 : 1, then

1 22 1(1 1)

x ? ? ??

= `24 22

2x ?

= 24

x = 48 – 22 = `26/kg144. B; Let the reqd. number be x


25 of x = 20% of x + 20

2 : 205 5x x ? 5

x = 20

x = 100145. D; 12 men = 18 women

8 men = 18 812

? = 12 women

(8 men + 16 women) = (12 + 16) women = 28 women

18 women reap the field in = 14 days

28 women can reap the field in = 14 18

28?

= 9 days

146. D; A = P 1100

tr? ??? ?? ?

11664 = 10000 2

1100

r? ??? ?? ?

211664 1

10000 100r? ?? ?? ?? ?

2

21 1.1664 (1.08)100

r? ?? ? ?? ?? ?

1 1.08100

r? ? 1.08 1100

r ? ?

80.08

100 100r ? ?

r = 8%147. A; cosec + cot = x

cosec – cot

(cosec cot ) (cosec cot )

(cosec cot )? ? ? ? ? ?

? ? ?

2 2cosec cot 1

cosec cot x? ? ? ?? ? ?

148. B; Let the speed of the other train be x km/hr. Relative speed of both trains= (x + 50) km/hr

= (x + 50) × 5

18 metre/sec

Total distance covered = (100 + 120) metres= 220 metresNow, according to the question,

(x + 50) × 5 220m

18 6sec?

x + 50 = 220 186 5

? = 132

x = (132 – 50 =) 82 km/hr

149. C; BC = 2 210 6 100 36 8? ? ? ? cm

CD = 2 × BC = 2 × 8 = 16 cm150. D; Let the first term and common difference be a

and d respectively. 17th term of an AP = a + 16d 10th term of an AP = a + 9dNow, according to the question,(a + 16d) – (a + 9d) = 7 a + 16d – a – 9d = 7 7d = 7 d = 1

151. D; No error152. A; Put ‘at’ after ‘knocked’153. B; Change ‘will’ to ‘would’154. C; Change ‘as much as’ to ‘as many as’155. C; The first letter of ‘god’ should be in capital

letter. Hence ‘God’ should be written.156. C 157. B 158. D 159. C 160. D 161. C162. D 163. C 164. C 165. A 166. D 167. A168. C 169. B 170. D 171. B 172. D 173. C174. A 175. C 176. A 177. B 178. D 179. A180. C 181. B 182. D 183. B 184. A 185. C186. A 187. B 188. B 189. C 190. C 191. B192. C 193. B 194. D 195. C 196. D 197. B198. A 199. D 200. B

held on : 11-11-2012 (paper–i) (second sitting) ssc fci ... · 11/11/2012 · how many times is...

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