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PRACTICE SET

SSC-CGL TIER-IPart A: General Intelligence

and ReasoningDirections: In question nos. 1 to 10, select the related

word/letters/number from the given alternatives.1. DHL : EJO : : KOS : ?

(A) LPV (B) LQV (C) LQU (D) LPU2. EOSR : ROSE : : NAIP : ?

(A) APIN (B) PANI (C) IAPN (D) PAIN3. CG: 22 : : FP : ?

(A) 40 (B) 36 (C) 45 (D) 2204. 17 : 56 : : 20 : ?

(A) 60 (B) 62 (C) 55 (D) 655. LMOP : LOMP : : FUVC : ?

(A) FVCU (B) FCVU (C) FVUC (D) FUVC6. HCEN : BGIP : : DIGN : ?

(A) JMKP (B) XMKP (C) JMMP (D) XMLP7. SQTY : QUQV : : RPPQ : ?

(A) PTLO (B) OUMP (C) OUMO (D) PTMN8. Letter : Word : Sentence : : ?

(A) Phrase (B) Typing (C) Paragraph (D) Passage9. 30 : 42 : : 56 : ?

(A) 62 (B) 68 (C) 72 (D) 7510. 24 : 60 : : 210 : ?

(A) 504 (B) 343 (C) 336 (D) 33011. Which of the following sets of letters when sequentially

placed at the gaps in the given letter series shall completeit?ccbab __ caa __ bccc __ a __(A) bbba (B) babb (C) baab (D) babcDirections: In question nos. 12 to 17, find out the odd

number/letters/word/pair of words from the givenalternatives.12. (A) CFI (B) DGJ (C) FIM (D) EHK13. (A) 8765 (B) 5678 (C) 8476 (D) 856714. (A) AEIP (B) QTYF (C) FINU (D) HKPW15. (A) BFHD (B) IMOK (C) PTWR (D) WACY16. (A) 72 (B) 45 (C) 81 (D) 2817. (A) Tree – Trunk (B) Face – Eye

(C) Chair – Sofa (D) Plant – FlowerDirections (Q. 18): In the following questions is given

a statement followed by two assumptions I and II. Give answer(A) if only assumption I is implicit.(B) if only assumption II is implicit.(C) if neither assumption I nor II is implicit.(D) if both assumptions I and II are implicit.

18. Statement: Government has permitted privateschools to increase their fees.

Assumption: I. Government schools do not need toincrease their fee.

II. Private schools are in a financial crisis.Directions (Q. 19): In the following question is given a

statement followed by two conclusions I and II. Give answer(A) if only conclusion I follows.(B) if only conclusion II follows.(C) if neither conclusion I nor II follows.(D) if both conclusions I and II follow.

19. Statement: The Municipal Corporation of Delhi hasprovided relief to the residents of Okhlaby removing the medical waste plantpresent over there.

Conclusions: I. The residents of Okhla were havingproblems because of the medicalwaste plant.

II. The MCD is the only authority thatcan take decision on these issues.

Directions: In question nos. 20 and 21 which of thegiven responses would form a meaningful order if thefollowing words are arranged in ascending order?20. 1. Peon 2. Head clerk 3. Clerk

4. Manager 5. Assistant Manager(A) 4, 2, 3, 1, 5 (B) 4, 5, 1, 2, 3(C) 1, 3, 2, 5, 4 (D) 1, 2, 3, 4, 5

21. 1. Building 2. District 3. Room4. Colony 5. Flat(A) 3, 1, 5, 4, 2 (B) 3, 5, 1, 2, 4(C) 3, 5, 1, 4, 2 (D) 5, 3, 1, 4, 2

22. Which of the following words will come fourth if theyare arranged according to English Dictionary?(A) Blue (B) Bird(C) Blind (D) BlackDirections: In question nos. 23 to 25, choose the correct

alternative from the given ones that will complete the series.23. GHIK, HIJL, IJKM, JKLN, ?

(A) BMJH (B) JHLM (C) KJIM (D) KLMO24. HJK, MOP, RTU, ?

(A) WXZ (B) WXY (C) WYZ (D) WYX25. 6, 13, 28, ?, 122

(A) 29 (B) 59 (C) 34 (D) 9326. Find the wrong number in the given number series.

2, 17, 47, 77, 122, 177, 242(A) 177 (B) 122 (C) 2 (D) 47

27. From the following alternatives select the word whichcannot be formed by using the letters of the given word.RESIDENTIAL(A) ALTERS (B) DENTAL(C) ARDENT (D) DIGITAL

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28. If A = 6, B = 7, C = 8, D = 9, then the numbers 7, 23, 20, 25,13, 10, 23 will give the word(A) NEITHER (B) BROTHER(C) BOUSTER (D) BRAWLER

29. In a certain code INTRODUCE is written as RTNIOECUD.In the some code which alternative will be written forKNOWLEDGE?(A) GDELOWNKE (B) WONKLEGDE(C) WKONLEGDE (D) WOKNLEGDE

30. If ‘a’ means ‘plus’, ‘b’ means ‘minus’, ‘c’ means‘multiplication’, and ‘d’ means ‘division’ what will comeat question mark (?) in the given equation?12 c 8 a 9 b 48 d 6 = ?(A) 96 (B) 97 (C) 105 (D) 87

31. Select the correct combination of mathematical signs toreplace A and balance the given expression:40 A 20 A 10 A 2 A 4(A) – × ÷ = (B) – = ÷ ×(C) = × – ÷ (D) ÷ × – =Directions: In question nos. 32 to 34 select the missing

number from the given responses.32. 6 5 4

8 7 82 ? 7

96 105 224(A) 3 (B) 5(C) 93 (D) 89

33. 8 27 4612 31 ?19 38 57

(A) 49 (B) 50(C) 40 (D) 43

34. 8 3 1548 27 754 10 2110 19 ?

(A) 21 (B) 25(C) 26 (D) 27

35. Some equations are solved on the basis of a certainsystem. On the same basis find out the correct answerfor the unsolved equation.If 5 – 7 = 5, 7 – 6 = 2, 12 – 8 = 6 then what should 17 – 9 be?(A) 9 (B) 8 (C) 17 (D) 3

36. How many triangles are there in the given figure?

(A) 18 (B) 36 (C) 20 (D) 28

37. Reena introduces Radha, saying, ‘She is the wife of thegrandson of the father of my father.’ How is Radha relatedto Reena?(A) Sister (B) Daughter-in-law(C) Sister-in-law (D) Granddaughter

38. In the evening Raman faces the sun and walks for tenkilometres. He then turns left and walks for 20 km. Thenhe turns left again and walks for 10 km. In which directionis Raman standing with respect to the starting point?(A) South (B) North(C) East (D) West

39. My sister’s age is thrice my age, and 7 years less thanmy brothers age. If my age is 13 years, then what was theage (in years) of my brother at the time of my birth?(A) 76 (B) 69(C) 33 (D) 56

40. Rohit starts from his school and walks 10 km west, turnsnorth and walks 25 km, turns east and walks 5 km, turnssouth and walks 10 km, and finally turns east and walks5 km. How far is Rohit from his school?(A) 5 km (B) 10 km(C) 15 km (D) 25 km

41. Which of the following diagrams best depicts therelationship among Zebra, Tiger and Animal?

(A) (B)

(C) (D)

42. In a row of boys Rahim is 9th from the right and Pankaj is12th from the left. If they interchange their positionsPankaj becomes 25th from the left. How many boys arethere in the row?(A) 17 (B) 34 (C) 35 (D) 33Directions: In question nos. 43 to 44, in each question

below are given two statements followed by two conclusionsnumbered I and II. You have to take the given two statementsto be true even if they seem to be at variance with commonlyknown facts. Read all the conclusions and then decide whichof the given conclusions logically follows from the givenstatements, disregarding commonly known facts. Giveanswer

(A) if only conclusion I follows.(B) if only conclusion II follows.(C) if neither conclusion I nor II follows.(D) if both conclusions I and II follow.

43. Statements: All pens are markers.Some markers are ink.

Conclusions: I. Some pens are ink.II. Some inks are markers.

44. Statements: All books are copies.No copy is a paper.

Conclusions: I. Some copies are books.

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II. Some papers are books.45. Which of the answer figures is exactly the mirror image

of the given figure, when the mirror is held on the lineAB as shown below?Questions Figure

Answer Figures

(A) (B) (C) (D)46. 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 Figures

Answer Figures

(A) (B) (C) (D)47. Select the answer figure in which the question figure is

hidden/imbedded.Question Figure

Answer Figures

(A) (B) (C) (D)48. Which answer figure will complete the pattern in the

Question Figure?Question Figure

Answer Figures

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

49. Which of the Answer Figures is exactly the water imageof the given Question Figure?Question Figure

Answer Figures

(A) (B) (C) (D)50. From the following alternatives select the word which

cannot be formed using the letters of the given word.INSIGNIFICATION(A) FOCAS (B) CAUSE(C) FICTION (D) SING

Part B: General Awareness51. Which of the following folk dances is associated with

Nagaland?(A) Chong (B) Rakhal (C) Suggi (D) Chakri

52. SONAR works on the principle of(A) motion of charged particles in electromagnetic fields(B) reflection of ultrasonic waves(C) thin film optical interference(D) detection of cosmic radio waves

53. What is the nature of electromagnetic force?(A) Always attractive(B) Always repulsive(C) Attractive or repulsive(D) None of these

54. Which of the following is not the common manifestationof atmospheric pressure?(A) Vacuum cleaner (B) Fountain pen(C) Aircraft flying (D) Dynamic lift

55. Light Emitting Diode (LED) converts(A) electrical energy into light energy(B) light energy into electrical energy(C) optical radiation into electricity(D) thermal energy into electrical energy

56. Match List I with List II and select the correct answerList I List II

(a) Malaria 1. Fungi(b) Polio 2. Bacteria(c) Tuberculosis 3. Virus(d) Ringworm 4. ProtozoaCodes:

a b c d(A) 4 3 2 1(B) 4 3 1 3(C) 3 4 1 2(D) 3 4 2 1

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57. Which of the following is not an example of TRUE fruit?(A) Mango (B) Apple(C) Banana (D) Tomato

58. The theory of ‘Origin of Species’ is based primarily on(A) the process of biological evolution(B) the process of natural selection(C) the germplasm theory(D) the evolution of man from apes

59. Which of the following statements are true about thecommercially used automobile battery?I. It is usually a lead-acid batteryII. It has six cells with a potential of 2 volts each.III.Its cells work as galvanic cells while discharging

power.IV. Its cells work as electrolytic cells while recharging.(A) I, II, III and IV (B) I, II and III(C) II and IV (D) III and IV

60. Synthetic Detergents are sodium salts of(A) Carboxylic acids (B) Sulphonic acids(C) Fatty acids (D) Royal water

61. Which of these international tennis events is played ona grass court?(A) US Open (B) French Open(C) Wimbledon (D) Australian Open

62. Which of the following is an ore of silver?(A) Dolomite (B) Malachite(C) Cinnabar (D) Argentite

63. The radioactive isotope of hydrogen is(A) Protium (B) Deuterium(C) Tritium (D) Both (A) and (B)

64. Match the followingAlloy Composition

(a) Bronze 1. Lead, Antimony, Tin(b) Brass 2. Copper, Zinc, Nickel(c) German Silver 3. Copper, Zinc(d) Type Metal 4. Copper, TinCodes:

a b c d(A) 2 1 3 4(B) 2 1 4 3(C) 3 2 1 4(D) 4 3 2 1

65. The percentage of lead in lead pencils is(A) Zero (B) 20 (C) 40 (D) 60

66. Which of the following writs is not specifically providedin the Constitution of India?(A) Prohibition (B) Mandamus(C) Quo warranto (D) Injunction

67. District Judges are appointed by(A) the Chief Justice of Supreme Court(B) the State Public Service Commission(C) the Chief Minister of a State(D) the Governor of a State

68. The first Lokpal bill was introduced in the parliament in

the year(A) 1971 (B) 1968 (C) 1972 (D) 1983

69. Barium in a suitable form is administered to patientsbefore an x-ray examination of the stomach, because(A) Barium allows x-rays to pass through the stomach

on account of its transparency to x-rays.(B) Barium compound like magnesium sulphate helps

in cleaning the stomach before x-ray examination.(C) Barium is a good absorber of x-rays and this helps

stomach to appear clear in contrast to the otherregions in the picture.

(D) Barium salts are white in colour and this helps thestomach appear clear in contrast to other regions inthe picture.

70. The principle involved in paper chromatography is(A) Adsorption (B) Partition(C) Volatility (D) Solubility

71. Match the following features of the Indian Constitutionand their sources from which they have beenincorporated.

List-1 List 2a) Bill of Rights and Judicial Review 1) Englandb) Parliamentary system of democracy 2) Irelandc) Directive Principles 3) USAd) Residuary powers of the centre 4) CanadaCodes:

a b c d(A) 4 1 2 3(B) 1 2 3 4(C) 3 4 2 1(D) 3 1 2 4

72. Which of the following statements is incorrect?(A) The Comptroller and Auditor General controls all

disbursements and audits the accounts of both theUnion and the State Governments.

(B) He annually submits a report to the President relatingto the accounts of the Union.

(C) The annual report of the Comptroller and AuditorGeneral is considered by Public Accounts Committeeof Parliament.

(D) No money by the Union and the State governmentcan be spent without prior approval of theComptroller and Auditor General.

73. Where is Titicaca, the highest lake in the world, located?(A) Russia and Central Asian countries(B) US and Canada border(C) South Africa(D) Peru and Bolivia border

74. The headquarters of International Atomic EnergyAgency (IAEA) is located in(A) Geneva (B) Washington DC(C) Vienna (D) London

75. Which of the following indicates the correctchronological order of the given events?(A) August Offer – Cripps Mission – Simla Conference

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– Cabinet Mission Plan(B) Simla Conference – Cabinet Mission Plan – August

Offer – Cripps Mission(C) August Offer – Cabinet Mission Plan – Simla

Conference – Cripps Mission(D) Simla Conference – Cripps Mission – August Offer

– Cabinet Mission Plan76. In Buddhist literature, Milindapanha appears in

Question-Answer form between Nagasena and(A) Kanishka (B) Menander(C) Euthidemus (D) Alexander

77. Match the followingDynasty Kingdom

(a) Chalukyas 1. Kanchipuram(b) Pallavas 2. Badami(c) Pandyas 3. Vengi(d) Satvahanas 4. MaduraiCodes:

a b c d(A) 2 1 4 3(B) 2 4 1 3(C) 3 4 1 2(D) 3 1 4 2

78. Which of the following contains the famous Gayatrimantra?(A) Rigveda (B) Samveda(C) Yajurveda (D) Atharvaveda

79. The Brihadeeshvara temple was built by(A) Rajaraja (B)Rajendra Chola(B) Vira Rajendra (C) Kulottunga

80. ‘Mahatma’ was added before Gandhiji’s name during the(A) Champaran Satyagraha(B) Rowlett Satyagraha(C) Amritsar Session of INC in 1919(D) Initial stages of Khilafat movement

81. Which organisation regulates Mutual Funds in India?(A) SEBI(B) RBI(C) Ministry of Finance, Govt of India(D) IRDA

82. Who is the chairman of the National DevelopmentCouncil (NDC)?(A) Finance Minister (B) Prime Minister(C) Lok Sabha Speaker (D) Vice-president

83. Who has been awarded the Jnanpith Award for the year2011?(A) Chandrasekhara Kambara(B) Pratibha Ray(C) Amar Kant(D) Mahashveta Devi

84. Which of the following would have occurred if the earthhad not been inclined on its own axis?(A) All the seasons would have been of the sameduration. (B) The seasons would nothave changed.

(C) The summers would have been of longer duration.(D) The winters would have been of longer duration.

85. Who among the following invented Disc Brake.(A) F Lanchester (B) EG Otis(C) HW Seely (D) JB Dunlop

86. Which of the following market structures has a KinkedDemand Curve?(A) Perfect competition(B) Monopoly(C) Oligopoly(D) Monopolistic competition

87. The terms ‘Micro’ and ‘Macro’ in economics were firstcoined and used by(A) Adam Smith (B) Ragnar Frisch(C) Alfred Marshall (D) Lionel Robbins

88. Why do rain-bearing clouds look black?(A) All light is scattered by them.(B) They reflect the sunlight back into the atmosphere.(C) The large number of water droplets in them absorb

all the sunlight.(D) There is a lot of dust condensed on the water vapour

in these clouds.89. Which of the following is the venue of the 17th Asian

Games to be held in 2014?(A) Incheon, South Korea (B) New Delhi, India(C) Tokyo, Japan (D) Hiroshima, Japan

90. Which is the only internal organ of the human bodycapable of regenerating its lost tissues?(A) Lungs (B) Kidney(C) Liver (D) Brain

91. In which of the following years did the government ofIndia devalue its currency twice?(A) 1949 (B) 1966(C) 1991 (D) 1949 and 1991

92. Who is the Chairman of the 14th Finance Commission ofIndia?(A) Vijay Kelkar (B) YV Reddy(C) Urjit Patel (D) DK Jain

93. With reference to a computer, an assembler is a(A) Symbol (B) Language(C) Program (D) Person who assembles the parts

94. Which of the following is not a trans-Himalayan river?(A) Satluj (B) Indus(C) Brahmaputra (D) Ganga

95. National Girl Child Day is observed on(A) January 25 (B) January 24(C) February 28 (D) February 24

96. The Organisation of Petroleum Exporting Countries(OPEC) consists of how many member countries?(A) Eleven (B) Twelve(C) Thirteen (D) Ten

97. Which of the following is Multi-Barrel Rocket System?(A) Akash (B) Pinaka(C) Nirbhay (D) AWACS

98. The term ‘Cryogenics’ is associated with

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(A) Low temperature (B) High temperature(C) Low pressure (D) High Pressure

99. What does the acronym LAF stand for?(A) Liquidity Adjustment Fund(B) Liquidity Adjustment Facility(C) Liquidity Adjustment Finance(D) Liquidity Adjustment Factor

100. National Rural Livelihood Mission was launched in(A) 2010 (B) 2009(C) 2012 (D) 2011

Part C: Quantitative Aptitude

101. If 3y + y21

= 4, then the value of 1y28)7y2(y3

y3???

is

(A) 193

(B) 191

(C) 571

(D) 61

102. Find the greatest four-digit number which when dividedby 3, 9, 12, 21 and 24 leaves the same remainder 2 in eachcase.(A) 9978 (B) 9576 (C) 9578 (D) 9958

103. 24 mango trees, 48 apple trees and 64 orange trees haveto be planted in rows such that each row contains thesame number of trees of one variety only. The minimumnumber of rows in which the above trees can be plantedis(A) 17 (B) 8(C) 24 (D) Can’t be determined

104. A and B invest in a business in the ratio 7 : 6. If 15% ofthe total profit goes to charity and B’s profit share is`6300, the total approximate profit is (`)(A) ̀ 15000 (B) ̀ 17000(C) ̀ 15060 (D) ̀ 16060

105. If 8126 is divided by 63, the remainder will be(A) 2 (B) 5 (C) 1 (D) 3

106. Which of the following numbers does not fit into theseries?13 20 34 63 118 230(A) 34 (B) 63 (C) 20 (D) 13

107. The length of rectangle is twice its breadth. If its lengthis decreased by 8 cm and breadth is increased by 8 cm,the area of the rectangle is increased by 64 cm2. Thelength of the rectangle is(A) 24 cm (B) 16 cm (C) 32 cm (D) 12 cm

108. If x2 + 2x1

= 51, find the value of x3 – .x13

(A) 7 (B) 343(C) 364 (D) 264

109. If three medians PQ, RS and MN of PRM meet at O asshown in the given figure, which of the followingstatements is not correct?

(A) Area OPM = Area OMR = Area OPR(B) 2 NO = OM

(C) Area OSM = 61

Area PRM

(D) The perpendiculars drawn from O to the three sidesof PRM are of equal length.

110. In the figure given below, O is the centre of the circle. If? OAB = 25º and ? OCB = 35º, what is the measure of? AOC?

(A) 110º (B) 60º (C) 35º (D) 180º111. Find the value of ??(0º < ? ? 90º)

if θsin1θcos2

θsin–1θcos2

?? = 8

(A) 60º (B) 45º (C) 90º (D) 30º

112. If sin??= 53

, then the value of ???

tan1sec2

is

(A) 107

(B) 710

(C) 71

(D) 75

113. If sec 4A = cosec (A + 20º), where 4A is an acute angle,find the value of A.(A) 9º (B) 28º (C) 14º (D) 7º

114. The altitude PQ of a MNP in which ? P is obtuseangle is 10 cm. If MQ = 10 cm and QN = cm310 , find? P.(A) 110º (B) 120º (C) 115º (D) 105º

115. A person standing on the bank of a river observes thatthe angle of elevation of the top of a tree standing on theopposite bank is 60º. When he moves 30 metres awayfrom the bank, he finds the angle of elevation to be 30º.Find the height of the tree.(A) m320 (B) m315

(C) m330 (D) None of these116. AB and CD are two parallel chords of a circle whose

centre is O and radius is 13 cm. If AB = 24 cm and CD = 10cm, find the distance between AB and CD, if they lie onthe same side of the centre O.(A) 12 cm (B) 5 cm (C) 7 cm (D) 13 cm

117. An exterior angle of a triangle is 105º and one of theinterior angles is 45º, find the other two angles of the

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triangle.(A) 65º, 75º (B) 45º, 75º(C) 105º, 60º (D) 60º, 75º

118. Point M divides the line segment joining the points

A (–1, 3) and B (9, 8) such that 1K

BMAM ? . If M lies on

the line x – y + 2 = 0, find the value of K.

(A) 23

(B) 21

(C) 34

(D) 32

119. If P(5, –1), Q(–3, –2) and R (–1, 8) are vertices of trianglePQR, find the length of the median through P and the co-ordinates of the centroid.

(A) unit65 , ???

???

35,

31

(B) units75 , ???

???

34,

35

(C) units55 , ???

???

35,

32

(D) units45 , ???

???

34,

31

120. Given that sin (A + B) = sinA.cosB + cosA.sinB, find thevalue of sin105º.

(A) 221–3

(B) 2213 ?

(C) 22)13(2 ?

(D) 1–313 ?

121. Find the value of º45tanº60sinº.30cos2º30tan4º–45cosº60sin5 222

??

(A) 76

(B) 67

(C) 3–2 (D) 54

122. In triangles ABC and PQR, ? A = ? P = 60º.AB : PQ = AC : RP and ? R = 55º. Then ? B is(A) 60º (B) 55º (C) 75º (D) 65º

123. If each interior angle of a regular polygon is 8 times itsexterior angle then the number of sides of the polygon is(A) 22 (B) 18 (C) 16 (D) 36

124. PQR is an acute-angle triangle in which ? PQR = 60º. If Obe the orthocentre of triangle PQR, then ? OPR + ? ORPequals to(A) 30º (B) 60º (C) 150º (D) 120º

125. In a quadrilateral PQRS, ? Q = 90º and PS2 = PQ2 + QR2 +RS2, then ? PRS is equal to(A) 90º (B) 60º (C) 100º (D) 30º

126. In the following figure, MP = 8 cm, PD = 4 cm and CD =3 cm. Find the length of MN.

(A) 3 cm (B) 4 cm (C) 4.5 cm (D) 3.5 cm

127. If x = 3 + 22 , then the value of ???

????

??

x1x is

(A) 1 (B) 2 (C) 22 (D) 33

128. If

411

13

12

543

12

??

?

?

= x, then the value of x is

(A) 71

(B) 73

(C) 1 (D) 78

129. The value of )xz)(zy)(yx(9)xz()zy()yx( 333

????????

is equal to

(A) 0 (B) 91

(C) 31

(D) 1

130. The value of ??

???

?12–8

6–2–6

34–3–6

23

(A) 23 ? (B) 23 ?

(C) 35 (D) 1

131. A man can row 319 kmph in still water and finds that it

takes him thrice as much time to row upstream as to rowdownstream the same distance in the river. What is thespeed of the stream?

(A) 324 km/hr (B) 2

37 km/hr

(C) 432 km/hr (D) 3

16 km/hr

132. The traffic lights at three different road crossings changeevery 21 seconds, 63 seconds and 105 seconds respec-tively. If they all change simultaneously at 9 : 15 : 00 AM,at what time will they again change simultaneously?(A) 9 : 20 : 15 AM (B) 8 : 20 : 30 AM(C) 9 : 17 : 36 AM (D) 9 : 18 : 15 AM

133. In an examination a student scores 7 marks for everycorrect answer and loses 1 mark for every wrong answer.If he attempts all 150 questions and scores 400 marks,the number of questions he attempts incorrectly is(A) 70 (B) 40 (C) 50 (D) 60

134. A and B can do a piece of work individually in 9 and 18days respectively. Both started working but A stopped 3days before finishing. In how many days will the workbe completed?(A) 13 days (B) 8 days (C) 6 days (D) 5 days

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135. The inner circumference of a circular race track 14m wideis 440m. Find the radius of the outer circle.(A) 21m (B) 12m (C) 84m (D) 20m

136. The volumes and radii of a right circular cylinder and asphere are equal. If H is the height of the cylinder and Dis the diameter of the sphere, then what is the relationbetween H and D?(A) H = D (B) 2H = D (C) 2H = 3D (D) 3H = 2D

137. A, B and C jointly started a business. A got 53

of the

profit. The remaining profit is distributed equally be-tween B and C. If C gets `400 less than A, then find theprofit.(A) ̀ 1600 (B) ̀ 1200 (C) ̀ 1000 (D) ̀ 800

138. A, B and C enter into a partnership with a total capital of`8200. A’s capital is ̀ 1000 more than B’s and ̀ 2000 lessthan C’s. What is B’s share at the end of the year in aprofit of `2460?(A) `420 (B) ̀ 480 (C) ̀ 540 (D) ̀ 620

139. The percentage profit earned by selling an article for`1920 is equal to the percentage loss incurred by sellingthe same article for `1280. At what price should the ar-ticle be sold in order to make 25% profit?(A) ̀ 2000 (B) ̀ 2200 (C) ̀ 2400 (D) ̀ 2600

140. A man bought a horse and a carriage for ̀ 3000. He soldthe horse at a gain of 20% and the carriage at a loss of10%, thereby gaining 2% on the whole transaction. Findthe cost of the horse.(A) ̀ 1500 (B) ̀ 1200 (C) ̀ 1600 (D) ̀ 1750

141. A man travelled from a village to the post office at therate of 25 kmph and walked back at the rate of 4 kmph. Ifthe whole journey took 5 hours 48 minutes, find the dis-tance of the post office from the village.(A) 20 km (B) 25 km (C) 30 km (D) 40 km

142. If the annual rate of simple interest increases from 10%

to %21

12 , a man’s yearly income increases by `1250.

His principal (in ̀ ) is(A) 45000 (B) 50000 (C) 60000 (D) 65000

143. A cube of edge 5 cm is cut into cubes each of edge 1 cm.The ratio of the total surface area of one of the smallcubes to that of the large cube is equal to(A) 1 : 5 (B) 1 : 25 (C) 1 : 125 (D) 1 : 625

144. If the compound interest on a sum for 2 years at %21

12

per annum is `510, the simple interest on the same sumat the same rate for the same period of time is(A) `400 (B) ̀ 450 (C) ̀ 460 (D) ̀ 480

145. Three pipes A, B and C can fill a tank in 6 hours. Afterworking together for 2 hours, C is closed and A and Bcan fill the remaining part in 7 hours. The number ofhours taken by C alone to fill the tank is(A) 10 hrs (B) 12 hrs (C) 14 hrs (D) 16 hrsDirections: In question nos. 146 to 150 the following

line graph gives the percentage profit earned by two compa-nies X and Y during the period 2006-2011. Study the graphand answer the questions that are based on it.

The percentage profit earned by two companies X and Yover the given years

% profit = 100eExpenditur

eExpenditur–Income?

50

65

50

5545

4050

5560

50

35

45

010203040506070

2006 2007 2008 2009 2010 2011

Year

Prof

it %

Company X Company Y

146. If the expenditure of Company Y in the 2007 was `220crore, what was its income in the year 2007?(A) `312 crore (B) ̀ 297 crore(C) ̀ 283 crore (D) ̀ 275 crore

147. If the incomes of the two companies were equal in 2009,what was the ratio of expenditure of Company X to thatof Company Y in the year 2009?(A) 6 : 5 (B) 5 : 6 (C) 11 : 6 (D) 16 : 15

148. The incomes of Company X and Y in 2010 were in theratio of 3 : 4. What was the ratio of their expenditures inthe year 2010?(A) 7 : 22 (B) 14 : 19 (C) 15 : 22 (D) 27 : 35

149. If the expenditures of Company X and Y in 2006 wereequal and the total income of the two companies in theyear 2006 was ̀ 342 crore, what was the total profit of thetwo companies together in the year 2006?(A) `240 crore (B) ̀ 121 crore(C) ̀ 120 crore (D) ̀ 102 crore

150. The expenditure of Company X in the year 2008 was`200 crore and the income of Company X in 2008 wasthe same as its expenditure in 2011. The income of Com-pany X in the year 2011 was `(A) `465 crore (B) ̀ 385 crore(C) ̀ 295 crore (D) ̀ 335 crore

Part-D: English ComprehensionDirections: In question nos. 151-155, some parts of the

sentences have errors and some have none. Find out whichpar of a sentence has an error and blacken the rectangle[ ] corresponding to the appropriate letter (A, B, C). Ifthere is no error, blacken the rectangle [ ] correspondingto (D) in the Answer Sheet.

KKUNDAN

151. In Mahabharata we have an account of over three(A)

generations of people bound together by the whole web(B) (C)

of kinship. No error(D)

152. Hold this position for thirty seconds, release and repeat(A) (B)

on the other side again. No error(C) (D)

153. Our parents chose to come here with the hope of bettering(A) (B) (C)

themselves. No error(D)

154. Are you hundred per cent sure it’s your neighbour?(A) (B) (C)

No error(D)

155. More than one boys has been singing since morning.(A) (B) (C)

No error(D)

Directions: In question nos. 156 to 160 sentences aregiven with blanks 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 rectangle [ ] in the Answer--Sheet.156. He despised him ________ the similar views they both

held.(A) in the wake of (B) for the sake of(C) nevertheless (D) notwithstanding

157. She said the government had made ______arrangements before the start of winter.(A) ample (B) adequate(C) entire (D) basic

158. Every nation writes its own autobiography ________the actions or inactions of its citizens.(A) through (B) with(C) for (D) around

159. My parents were in kitchen when I ________ collectedall my books and suddenly disappeared and ran awayfrom my home without telling anybody.(A) fraudulently (B) ghostly(C) clandestinely (D) deliberately

160. The buggy ________ and Nancy was thrown out.(A) turned away (B) turned over(C) turned down (D) turned aboutDirections: In question nos. 161 to 165, out of the four

alternatives choose the one which best expresses themeaning of the given word and mark it in your Answer-Sheet.161. Haughty

(A) arrogant (B) hot(C) ability (D) insanity

162. Loathe(A) delegate (B) detest(C) lame (D) heavy

163. Picturesque(A) grapple (B) painting(C) vivid (D) morsel

164. Graduate(A) slow (B) calibrate(C) moderate (D) bachelor

165. Swindle(A) pilfer (B) twist(C) pounce (D) defraudDirections: In question nos. 166 to 170, choose the word

opposite in meaning to the given word and mark it in theAnswer-Sheet.166. Motion

(A) transit (B) stationary(C) speed (D) disposition

167. Fabricate(A) concoct (B) construe(C) sew (D) destruct

168. Nadir(A) zenith (B) seize(C) mount (D) adroit

169. Charlatan(A) canyon (B) innocent(C) benevolent (D) patriot

170. Mitigate(A) ameliorate (B) moderate(C) accentuate (D) vindicateDirections: In question nos. 171 to 175, four alternatives

are given for the idiom/phrase and bold-italicised in thesentence. Choose the alternative which best expresses themeaning of the idiom/phrase and mark it in the Answer-Sheet.171. The time for work has come and so we should make hay

while the sun shines.(A) hang clothes in the sun(B) use the opportunity(C) keep the husk in the sun(D) make bad things better during the day

172. A leader should respect the opinion of rank and file.(A) great leaders(B) saints and intellectuals(C) judiciary(D) common man

173. India voiced her protest in black and white.(A) streets (B) writing(C) Africa and England (D) media

174. There was a rift when lenders set people by the ears.(A) listened to public carefully(B) ignored public demands(C) instilled a sense of hatred in public(D) praised the ideas of common men

KKUNDAN

175. Even college students very often play truant.(A) participate in drama competition(B) remain absent(C) cheat common man(D) neglect the advice of their parentsDirections: In question nos. 176-180, a part of the

sentence is underlined. Below are given alternatives to theunderlined part at (A), (B) and (C) which may improve thesentence. Choose the correct alternative. In case noimprovement is needed your answer is (D). Mark youranswer in the Answer-Sheet.176. Whenever a body part becomes dysfunctional or falls

sick it starts effecting the entire body, until it is diagnosedand treated.(A) effecting the entire body unless(B) affecting the entire body unless(C) affecting the whole body till(D) No improvement

177. India’s diversity of language, habits and religions hardlycan a reason be for the chronic underdevelopment.(A) can hardly be a reason(B) hardly can be a reason(C) can be hardly a reason(D) No improvement

178. Increased investment in primary education, health careand infrastructure would release productive forces toget rid of poverty and bring prosperity.(A) to get alleviated of (B) to null and void(C) in driving away (D) No improvement

179. The sad truth is that most evil is done by those whonever make out his mind to be good or evil.(A) make out their mind (B) make out their minds(C) make up their minds (D) No improvement

180. Tolerance in the point for absurdity is not a virtue butcowardice.(A) into the point of (B) beyond the point of(C) about the point of (D) No improvementDirections: In question nos. 181 to 185, out of the four

alternatives, choose the one which can be substituted for thegiven words/sentence.181. A person, animal or plant having both male and female

sexual characteristics(A) ambidextrous (B) amorphous(C) amphibians (D) androgynous

182. A person who sees the bright aspect of a thing(A) a fortune teller (B) palmist(C) optimist (D) ophthalmologist

183. To denigrate the objects or beliefs of a particular religion(A) blasphemy (B) demystify(C) scoff (D) sanctify

184. A just punishment for wrong doing(A) capital punishment (B) nemesis(C) electrocution (D) castration

185. Fear of being enclosed in a small closed space(A) hydrophobia (B) xenophobia

(C) euphoria (D) claustrophobiaDirections: In question nos. 186 to 190, four words are

given in each question, out of which only one word is correctlyspelt. Find the correctly spelt word and indicate it in theAnswer Sheet by blackening the appropriate rectangle.186. (A) vaccum (B) vacuum

(C) vacumm (D) vaccume187. (A) rennaissance (B) renaisance

(C) renaisanse (D) renaissance188. (A) rendezvous (B) renzdevous

(C) reindezevus (D) rendevous189. (A) occurence (B) occurrence

(C) occurrance (D) ocurrence190. (A) miscellanius (B) misscellaneous

(C) miscelleneous (D) miscellaneousPASSAGE I (Question Nos. 191 to 195)

When we are concerned with ‘regeneration’ of womenin India, we are already aware of their ‘degeneration’. It doesnot imply degeneration of all women, but a very large sectionthereof is placed in a ‘disadvantaged position’. Many of themare subjected to injustice, oppression and exploitation inmany ways. If we say that woman suffers from injustice ‘fromcradle to grave’ it would be still an understatement. For, thespan of injustice against woman extends far beyond. It beginsbefore her birth and lasts beyond her death. Moderntechnology enables us to determine the sex of the child beforebirth. In spite of the enactment of the Prenatal DiagnosticTechniques (Regulation and Prevention of Misuse) Act (1994),some unscrupulous parents still resort to female foeticidewith the connivance of some unscrupulous surgeons. Thusinjustice against women begins before birth. Moreover, whenparents are dead, most people take pride in mentioning thename of their father and rarely, if ever, of their mother. This isan example of injustice against woman after death. Then theillegal practice of female infanticide still persists in some cases.While birth of a son is celebrated with great fanfare, birth ofa daughter is hardly welcome to some people. Discriminationagainst girls in the distribution of food, clothing, toys, etc,the curse of child marriage, purdah, desertion and divorce ofwomen without solid reasons, etc still widely persist. All thesepractices must be strictly curbed and abolished to restorethe dignity and rights of women.191. What has been the effect of the Prenatal Diagnostic

Techniques (Regulation and Prevention of Misuse) Act1994?(A) It has successfully checked female foeticide.(B) This act has been proved to be complete failure.(C) Some parents still resort to sex determination and

female foeticide.(D) This act allows sex determination in some select

cases.192. The expression ‘from cradle to grave’ means

(A) from wood to soil(B) from love to hatred(C) from baby till old

KKUNDAN

(D) from beginning to end193. What lesson do we learn from the given passage? Select

the best answer from the given options.(A) All women should not be treated equally as some of

them are much better than others.(B) Injustice against women continues from their birth

till death.(C) The condition of women is very deplorable and it

must be curbed at any cost.(D) The doctors who violate the Prenatal Diagnostic

Techniques (Regulation and Prevention of Misuse)Act 1994 should be punished severely.

194. Which of the following is correct in the context of thepassage?(A) Majority of the women are subjected to injustice,

oppression and exploitation.(B) Child marriage and purdah system are the matter of

bygone years.(C) Injustice against women does not extend beyond

birth and death.(D) Now, due to increasing awareness, people have

stopped discriminating between boys and girls.195. ‘Injustice against women begins before birth.’ What does

this mean?(A) It means people get involved in sex determination

well before the birth of a girl child.(B) If it is found that the foetus is that of a female it is

aborted at the earliest.(C) No healthcare facility is provided to women when

they are pregnant.(D) All the above

PASSAGE II (Question Nos. 196-200)Human resources management has replaced the

traditional concept of labour welfare and personnelmanagement. Human Resources Management (HRM) in itspresent form has evolved from a number of significant inter-related developments which date back to the era of industrialrevolution. The emergence of trade union movement led tothe need of a person who could act as an effective link betweenthe owners and workers. Thus the concept of labour welfareofficer came into being. His role was limited to the bare minimumwelfare activities of employees. In fact, he was looked downby both the workers and the owners.

With the introduction of factory system, thousands ofpersons began to be employed under one roof. The job ofhiring people for the organisation was given to one man,who later on was assigned the responsibility of recruitment,

selection and placement of personnel. This led to theemergence of personnel officer in the first place and thepersonnel manager later on.

Human-relations approach recognises human factor asthe most important instrument of success in an organisation.Fast-changing technological developments, however,necessitated new skill development and training employees.People came to be recognised as a valuable resource whichcan be further developed. Increase in scope of the work ledto the replacement of personnel manager with humanresources manger.196. What is the passage about?

(A) Industrial revolution(B) Emergence of trade union(C) Emergence of personnel manager(D) Development of HRM

197. Which of the following statements is false?(A) Due to the emergence of trade union movement the

concept of labour welfare officer came into being.(B) Industrial revolution is the root cause of the

development of HRM.(C) It is the introduction of factory system which made

it possible for many people to get employed underone roof.

(D) None of these198. The phrase ‘looked down’ here means

(A) to think that you are better than somebody.(B) to be ignored by somebody.(C) to be looked at with contempt by somebody.(D) to be appreciated by somebody.

199. Which of the following is regarded as the most importantfactor for the success of an organisation as far as thehuman-relations approach is concerned?(A) Technological developments(B) Human factor(C) Financial health of an organisation(D) Punctuality and discipline of employees

200. What was the impact of the emergence of the trade unionmovement?(A) The concept of labour welfare officer came into

existence.(B) The labour welfare officer was responsible for the

welfare of the organisation.(C) Workers as well as owners welcomed the role of the

labour welfare officer.(D) The labour welfare officer had nothing to do with

the welfare of owners.

KKUNDAN

Answers1. B;

Similarly VS Q,O L,KOL J,H E,D

321

321

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

???

2. D;

3. A; CG = (72 – 33) = (49 – 27) = 22FP = (162 – 63) = (256 – 216) = 40

4. D; 17 × 3 + 5 = 5620 × 3 + 5 = 65

5. C;

6. B;

PN K,G M,I X,DPN I,E G,C B,H

2446–

244–6

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

???

???

7. D;

NQ M,P T,P P,RVY Q,T U,Q Q,S

3–3–42–

3–3–4–2

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

?

?

8. C; The first goes on to make the second.9. C; 5 × 6 = 30

6 × 7 = 427 × 8 = 568 × 9 = 72

10. C; 33 – 3 = 24Thus, 43 – 4 = 6063 – 6 = 21073 – 7 = 336

11. B; ccba / bbca / aabc / ccba / b

12. C;

13. C; 8 + 7 + 6 + 5 = 265 + 6 + 7 + 8 = 268 + 4 + 7 + 6 = 258 + 5 + 6 + 7 = 26

14. A;

15. C;

16. D; All others are multiples of 9.17. C; In all others, the second is a part of thefirst.18. C; The statement may not have been givenwith govt schools in mind. Hence I is notimplicit. Again, fees need not be increased onlyin a financial crisis. Hence II is not implicit.19. C; Note that conclusion I is in fact anassumption.20. C; Peon ? Clerk ? Head Clerk ?Assistant Manager ? Manager21. C; Room ? Flat ? Building ? Colony ?District22. A; Bird, Black, Blind, Blue

23. D;

24. C;

25. B; 6 × 2 + 1 = 12 + 1 = 1313 × 2 + 2 = 26 + 2 = 2828 × 2 + 3 = 56 + 3 = 5959 × 2 + 4 = 118 + 4 = 122

26. D; 2 + 15 = 1717 + 25 = 4242 + 35 = 7777 + 45 = 122122 + 55 = 177177 + 65 = 242

27. D; There is no G in the given word.28. B; A = 6 means 1 + 5 = 6

B = 7 means 2 + 5 = 7C = 8 means 3 + 5 = 8D = 9 means 4 + 5 = 9

29. B;

KKUNDAN

or, 8)sin–1(

)sin–1(cos2)sin1(cos22 ?

???????

or, 2cos??+ 2cos?.sin? + 2cos? – 2cos?.sin?= 8cos2? or, 8cos2? = 4cos?

? cos? = 84

???21

???cos 60º ? ? = 60º

112. B; Given sin??= 53

= hp

b = 22 p–h = 22 )3(–)5( = 4

? cos??= 54

Now, ???

tan1sec2

= )cos(sincos

cos2

????

??

710

4325

54

53

2?

??

??

?

113. C; We have, sec 4A = cosec (A + 20º)or, sec 4A = sec (90º – (A + 20º)or, sec 4A = sec (70º – A)

or, 4A = 70º – A ? A = 570

= 14º

114. D; MNP is a triangle. Right angle isformed at Q such that PQ = 10 cm and MQ =10 cm

In PMQ, let ? MPQ = ?

tan??= 1010

= 1 = tan 45º

? ???= 45ºIn ?PQN, a right-angled triangle, ? QPN = ?

Now, tan????10

310??? 3 = tan 60º

? = 60º ... (i)Then ? QPN = 60º ... (ii)From (i) and (ii), we have? MPQ + ? QPN = ? MPQ? ?? MPQ = 60º + 45º = 105º

115. B; Let AB be the height of the tree.

Then, in ABC tan 60º = xh

or, 3 = xh

? x = 3h

Now, in ADB, we have

tan 30º =

3h30

hx30

h

??

?

Now,

1y28y21y6y3

1y28)7y2(y3y3

2 ????

???

191

y57y3

y49y8y3

y491y6y3

2 ???

???

?

102. C; LCM of 3, 9, 12, 21, 24 = 504Now, greatest number of four digits = 9999When 9999 is divided by 504, the remainder is423. Hence, the greatest number of four digitsexactly divisible by each of the numbers 3, 9,12, 21 and 24 = 9999 – 423 = 9576? Reqd no. = 9576 + 2 = 9578103. A; HCF of 24, 48 and 64 = 8

824

= 3, 848

= 6 and 864

= 8

? Required number of rows = (3 + 6 + 8) = 17104. D; Let the share of profit of A be 7x andB be 6x. Then, 6x = 6300

? x = 66300

= `1050

Now, A’s share in the profit = 7 × 1050 = 7350Total profit earned by A and B = 7350 + 6300= `13650Remaining profit = (100 – 15) = 85%

? 100% = 8510013650?

= 16058.82 ? 16060

105. C; 8126 = (82)63 = (63 + 1)63 has each termexcept 163 exactly divisible by 63. Thus, when8126 is divided by 63, we have remainder 163 = 1106. B; The series is +7, +14, +28, +56, +112107. C; Let the breadth be x. Then length = 2x

Now, (x + 8) (2x – 8) – x × 2x = 64or, 2x2 + 16x – 8x – 64 – 2x2 = 64or, 8x = 64 + 64 = 128

or, x = 8128

= 16 cm

So, length = 2x = 2 × 16 = 32 cm

108. C; We know that 2–x1x

x1–x 2

22

??????

??

= 51 – 2 = 49

or, x1–x = 49 = 7

Taking cube of both sides, we have

343x1–x3–

x1–x 3

3 ?????

??

or, 36421343x1–x 3

3 ???

109. D110. D; Let O be the centre of the circle.

? OAB = 25º, ? BCO = 35ºJoin OB in OAB. OA = OB (Radii of thesame circle)

? OAB = ? OBA = 25º ... (i)Similarly ? OBC = ? OCB = 35ºAdding (i) and (ii), we have? OBC + ? OBA = 25º + 35º = 60º? ABC = 60ºSince arc AC subtends ? AOC at the centre and? ABC at point B on the circumference,? AOC = 2? ABC = 2 × 60 = 120º

111. A; We have, 8sin1

cos2sin–1

cos2?

???

???

30. B; 12 × 8 + 9 – 48 ÷ 6= 96 + 9 – 8 = 97

31. B; 40 – 20 = 10 ÷ 2 × 432. A; 6 × 8 × 2 = 96

5× 7 × 3 = 1054 × 8 × 7 = 224

33. B; 8 + 19 = 27 / 27 + 19 = 4612 + 19 = 31 / 31 + 19 = 5019 + 19 = 38 / 38 + 19 = 57

34. C; 10464848

???????

???

;

19109103

27?????

??

???

; 26215211575

???????

???

35. D;

36. B 37. C

38. A;

39. C; My age is 13 years. Then my sister’sage = 13 × 3 = 39 years. And my brother’s ageis 39 + 7 = 46 years. At the time of my birthmy brother’s age was 46 – 13 = 33 years.

40. C;

Required distance = 25 – 10 = 15 km41. A; Both zebra and and tiger are animals.42. D; Required number of boys in the row =25 + 9 – 1 = 3343. B; All pens are markers (A) + Some markersare ink (I) = A + I = No conclusion. Hence, Idoes not follow. Again, Some markers are ink? conversion ? ?Some inks are markers.Hence, conclusion II follows.44. A; All books are copies ? conversion ?Some copies are books. Hence, conclusion Ifollows. But All books are copies (A) + Nocopy is a paper (E) = A + E = No book is apaper. Hence, II does not follow.45. C 46. D 47. B 48. D 49. D50. B; Neither U nor E is there51. A 52. B 53. C 54. D 55. A56. A 57. B 58. B 59. A 60. B61. C 62. D 63. C 64. D 65. A66. D 67. D 68. B 69. C 70. B71. D 72. D 73. D 74. C 75. A76. B 77. A 78. A 79. A 80. A81. A 82. B 83. B 84. B 85. A86. C 87. B 88. C 89. A 90. C91. C 92. B 93. C 94. D 95. B96. B 97. B 98. A 99. B 100. D

101. B; 4y2

1y3 en,Giv ??

or, 6y2 + 1 = 8y ... (i)

KKUNDAN

or, h3 = 30 + 3h

? h = 315 metres

116. C; We have,OA = OC = 13 cmAB = 24 cm and CD = 10 cm

or, AM = MB = 12 cm and CN = ND = 5 cm

In right-angle triangle OMAOA2 = OM2 + AM2

OM = 25144–169AM–OA 22 ?? = 5 cmAgain, in ?CON,

ON2 = 25–169CN–OC 22 ? = 12 cmRequired distance between AB and CD = MN= ON – OM = 12 – 5 = 7 cm117. D; Let ABC be a triangle whose side BC isproduced to form exterior angle ? ACD = 105º

Let ? B = 45º

Then by theorem of exterior angle,? ACD = ? B + ? Aor, 105º – 45º = ? A = 60ºAgain, 60º + 45º + ? C = 180º? ?? C = 180º – 105º = 75º

The other two angles are 60º and 75º.118. D; Given that M divides the line segmentjoing A (–1, 3) and B (9, 8) in the ratio K : 1.

So, co-ordinates of M are ????

??

??

? 1K3K8,

1K81–K9

.

????

??

??

? 1K3K8,

1K1–K9M lies on x – y + 2 = 0

or, 9K – 1 – 8K + 3 + 2K + 2 = 0

or, 3K – 2 = 0 ? K = 32

119. A;

Let Pm be the median through the vertex P oftriangle PQR., Then M is the mid-point of QRso the co-ordinates of M are

???

??? ?

282–,

21–3–

, ie (–2, 3).

PM = 22 )3–1(–)25( ?? = 65 units

Let G be the median on PM and divide it in theratio 2 : 1.So, the co-ordinates of G are

???

???

????

????

121–132,

12512–2

= ???

???

35,

31

120. B; Put A = 60º and B = 45º. Then, sin(A + B) = sin(60º + 45º)So, sin(60º + 45º) = sin60º.cos45º +

cos60º.sin45º = 2

121

21

23

??? = 22

13 ?

121. B

122. D; Given that RPPQ

ACABor

RPAC

PQAB ??

and ? A = ? P,So, ABC and PQR are similar.Hence, ? C = ? R and ? B = ? Qor ? C = 55ºand ? B = 180º – (60º + 55) = 65º

123. B; Let the exterior angle be xº.Then interior angle = 8xº

We know that the sum of (interior angle +exterior angle) = 180º

or, 8xº + xº = 180º or, xº = 9180

= 20º

If n is the number of sides of the polygon then

exterior angle = nº360

or, nº360

9º180

?

or, n = 18180

9360?

?

124. B;

? PQR = 60º, ? QMR = 90ºor, ? QRM = 180º – (90º + 60º) = 30º? NOR = 180º – (90º + 30º) = 60º? POR = 180º – 60º = 120º

? OPR + ? ORP = 180º – ? POR = 180º – 120º = 60º

125. A;

PQ2 + QR2 + RS2 = RP2 + RS2 = PS2

? PRS = 90º126. C; CP × DP = MP × NP

or, 7 × 4 = 8 × NPNP = 3.5 cmMN = 8 – 3.5 = 4.5 cm

127. B;21x

x? ?

?? ?? ?

= 1x 2x

? ?

= (3 + 2 2 ) + 1

(3 2 2)? – 2 = 4

?1xx

? = 4 = 2

128. C;

12195x12 13

54

?? ?? ?? ??

??

? ?? ?? ?

=

521912 43

5

?

??

= 1

129. C; (x – y) + (y – z) + (z – x) = 0So, (x – y)3 + (y – z)3 + (z – x)3

= 3(x – y) (y – z) (z – x)

? Given exp. = 3 (x y)(y z)(z x)9 (x y)(y z)(z x)

? ? ?? ? ? =

13

130. C;

????

)2–6(34–

36)36(

)3–6(23

3232

)3–2(26–

2626

)2–6(34

???

???

)23(3)2–6(

)26(34–)3–6(

)36(23 ?????

= 2( 6 3)? – 3( 6 2)? + 3( 3 2)?131. A; Now,

Let Sup = x kmph, Sdn = 3x kmph

Sman = 12 (3x + x) kmph = 2x kmph

2x = 283 or, x = 3

14

? Sstream = ???

????

314–14

21

2S–S updn

= kmph 324

132. A; Interval of change= (LCM of 21, 63, 105) = 315 secSo, the lights will again change simultaneouslyafter every 315 sec, ie 5 min 15 sec. Hence, nextsimultaneous change will take place at9:20:15 AM.133. B; Let the number of correct answers bex. Then, x × 4 – 1 (150 – x) = 400or, 4x – 150 + x = 400 or, 5x = 550? x = 110 ? Incorrect = 150 – 110 = 40

134. B; B’s last 3 days’ work = 3 1

18 6?

Rest of the work = 1 – 16 =

56

(A+B)’s 1 day’s work = 1 1 19 18 6

? ?

56 work will be done by A and B in 5 days

? Total number of days = 8 days.135. C; Let the inner radius be r metres.

Then, 2?r = 440 or, r = 440 × 744 = 70 m

? ? Radius of outer circle = 70 + 14 = 84 m136. D; Volume of right circular cyclinder =volume of sphere

or,?? H2D 2

?????

??

= 3

2D

34

????

???

or, 8

D34H

4D 32

??? or, 6D

4H

?

or,?3H = 2D137. C138. A; A = B + 1000 = C – 2000

C = B + 3000Now,A + B + C = (B + 1000) + B + (B + 3000)= 8200

KKUNDAN

or, 3B + 4000 = 8200? B = `1400

Share of B = 246082001400

? = `420

139. A; Let CP be `x.

Then, 100x1280–x

100x

x–1900???

or, 1920 – x = x – 1280or, 2x = 3200? x = 1600

Required SP = 125% of `1600

= ???

???

?1600100125

= `2000

140. B; Let the CP of the horse be `x.Then, CP of the carriage = `(3000 – x)20% of x – 10% of (3000 – x) = 2% of 3000

or, 6010

)x–3000(–

5x

?

or, 2x – 3000 + x = 600or, 3x = 3600? x = `1200Hence, CP of the horse = `1200

141. A; Average speed = hr/kmyx

xy2 ??

???

??

= hr/km425

4252???

???

???

= km/hr 29200

Distance travelled in 5 hours 48 minutes, ie

hrs 54

5 = km529

29200

???

???

? = 40 km

? Distance of the post office from the village

= 2

40 = 20 km

142. B; Let the sum be `x.

Then, 1250100

110x–

1001

225

x ????

??? ??

???

???

??

or, 25x – 20x = 250000or, 5x = 250000? x = 50000

143. B; Required ratio = 25:1251

556116

??????

144. D; Let the sum be `P. Then

510P–1002

251P

2

????

?

???

????

???

??

5101–89P or,

2?

???

?

???

?????

??

or, P = 192017

64510?

?

? Sum = `1920

So, SI = ` ???

???

???

10022251920

= `480

145. C; Part filled in 2 hours = 62

= 31

Reamaining part = 32

31

–1 ????

???

? ?(A + B)’s 7 hours’ work = 32

? ?(A + B)’s 1 hour’s work = 212

C’s 1 hour’s work = (A + B + C)’sone hour’s work – (A + B)’s one hour’s work

= 141

212

–61

????

???

C alone can fill the tank in 14 hours.146. B; Profit percentage of Company Y inthe year 2007 = 35Income of Company Y in the year 2007

= 100135220?

= `297 crore

Income of Company Y in the year 2007= `297 crore147. D; Let the incomes of each of the twocompanies X and Y in the year 2009, be `xand the expenditure of companies X and Y in2009 be E1 and E2 respectively.Then, for Company X we have,

So = 100E

E–x1

1 ? = 50

or, x = 100150

E1 = 1E23

... (i)

And for Company Y in the year 2009, wehave,

or, 60 = 100E

E–x2

2 ?

or, 1–Ex

10060

2?

x = 100160

E2 = 2E58

From (i) and (ii), we get

21 E58E

23

?

or, 15:161516

3528

EE

2

1 ?????

148. C; Let the income of companies X and Yin 2010 be 3x and 4x. And let the expendituresin 2010 of companies X and Y be E1 and E2.Then, for company X we have,

or, 100E

E–x365

1

1 ??

or, 1–Ex3

10065

1?

E 1 = 3x × ???

???165100

= 11x20

3320x3 ??

???

???

For Company Y, we have

or, 100E

E–x42

2 ? = 50 or, 1–E

x410050

2?

or, 23

100150–

Ex42

? or, E2 = 3x8

32x4 ??

? Required ratio

2215

16541503

150100x4

165100x3

EE

2

1 ????

???

????

????

???

?? = 15 : 22

149. D; Let the expenditure of Company Xand Y in 2006 be `x crore. And let the incomeof Company X in 2006 be `z crore and that ofY be `(342 – z) crore. Then, for Company X,we have

40 = 100x

x–z? or, 1–

xz

10040

?

or, x = 140z100

= z2720

Also, for Company Y, we have

or, 45 = 100x

x–)z–342(?

or, 1–x

)z–342(10045

?

or, x = 145100)z–342( ?

or, x = 2920)z–342( ?

... (ii)

From (i) and (ii), we get

2920)z–342(z

2720 ?

?

? z = 168Substituting z = 168 in (i), we get x = 120Total expenditure of Company X and Y in2006 = 2x = 240 croreTotal income of companies X and Y in 2006= `342 croreTotal profit = `(342 – 240) crore= `102 crore150. A; Let the income of Company X in theyear 2008 be `x crore.

Then 55 = 100200

200–x?

? x = 310Expenditure of Company X in 2011= Income of Company X in 2008 = `310 croreLet the income of Company X in 2011 be `zcrore.

Then, 50 = 100310

310–z?

or, z = 465Income of Company X in 2011 = `465 crore151. A; Add ‘the’ before Mahabharata152. C; Delete ‘again’153. D; No error154. A; Add’ ‘a’ before ‘hundred’155. A; Replace ‘boys’ with ‘boy’156. D 157. B 158. A 159. C 160. B161. A 162. B 163. C 164. B 165. D166. B 167. D 168. A 169. B 170. C171. B 172. D 173. B 174. C 175. B176. B 177. A 178. D 179. C 180. B181. D 182. C 183. A 184. B 185. D186. B 187. D 188. A 189. B 190. D191. C 192. D 193. C 194. A 195. B196. D 197. D 198. C 199. B 200. A