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COMPETITION SUCCESS REVIEW 1

PART A :

GENERAL INTELLIGENCE & REASONING

Directions (Qs. 1-7) : Select therelated letters/word/number from thegiven alternatives.

1. 16 : 36 : : 49 : ?(A) 81 (B) 94(C) 64 (D) 892. 9 : 738 : : 7 : ?(A) 750 (B) 550(C) 650 (D) 3503. SGH : TIJ : : UKL : ?(A) ROP (B) HIM(C) OUR (D) VMN4. BYE : DAG : : GDJ : ?(A) IFL (B) EHB(C) ILF (D) EBH5. DEFH : HJLP : : BCDJ : ?(A) DFHU (B) DHFT(C) CFIS (D) DFHT6. PNLJ : IGEC : : VTRP : ?(A) RSTU (B) QOMK (C) RPOM (D) QSRC7. ABCE : BCEG : : ? : EGKM(A) DEGK (B) BCEI(C) CEGI (D) CEGK 8. Rule : In the reverse English

alphabet, the number of letters skippedin between adjacent letters in the seriesincreases by one.

Which of the following letter-seriesfollows the given rule ?

(A) YWTOF (B) WURNI

Staff Selection Commission

Sub-Inspectors In DP, CAPFs& CISF, August 2012

Question Paper (Fully Solved)

(C) TRPNL (D) SNJGE9. Number of letters skipped in

between adjacent letters in the seriesincreases by one. Which of the followingseries observes the ruling given above ?

(A) PSVYBE(B) KMOQSU(C) CFILOR(D) UWZDIODirections (Qs. 10-13) :A series is

given, with one term/number/lettermissing. Choose the correct alternativefrom the given ones that will completethe series.

10. 7, 10, 8, 11, 9, 12, ___?___(A) 12 (B) 13(C) 7 (D) 1011. 71, 76, 69, 74, 67, 72, ___?___(A) 80 (B) 76(C) 77 (D) 6512. BDF, CFI, EIM, ___?___(A) KPS (B) RVZ(C) AEH (D) HMR 13. G H J M ___?___ V(A) Q (B) S

(C) T (D) R 14. If 3rd January is Sunday, what date

wil l be thr ee day s after the fourthWednesday in the month ?

(A) 26 (B) 23(C) 30 (D) 27

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2 COMPETITION SUCCESS REVIEW

15. Choose the word which cannot beformed from the letters of the given

word CHRISTMAS.(A) CRUST (B) HARM(C) CHRIST (D) SMART16. A national leader was born on 29th

February in a particular year. He willhave his birthday once in

(A) 3 years (B) 4 years(C) 2 years (D) None of these

17. If two days before yesterday isMonday, what will be the day of theweek 3 days after day after tomorrow ?

(A) Wednesday (B) Saturday (C) Thursday (D) Friday 18 . If FIRST is written as

HKTUV, how will SECOND bewritten as ?

(A) UGEQSF(B) UGEQPF(C) UGEMPF(D) UHEQPF19. A meaningful word starting with

R is made from the first, second, fourth,fifth and eighth letters of the wordCREATIVE. Which of the following isthe middle letter of the word ?

(A) C (B) A(C) E (D) TDirections (Qs. 20-25) : Select the

one which is different from the otherthree responses.

20.(A) 9545 (B) 7647(C) 7859 (D) 843221.

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

22.(A) Urdu (B) Gujarati(C) Hindi (D) Sindhi23.(A) Fable (B) Anecdote(C) Story (D) Poem

24.(A) Adjourn (B) Defer(C) Postpone (D) Cancel25.(A) 39 (B) 36(C) 24 (D) 1226. If JOSEPH is coded as

FKOALD, then GEORGE will becoded as

(A) JAKINS

(B) CADMNO(C) CAKNIJ(D) CAKNCADirections (Qs. 27-31) : In these

questions, select the missing numberfrom the given responses.

27.

213

1016

1544

?42

(A) 2 (B) 4(C) 5 (D) 3

28.

4665624

?23

25622

(A) 8796(B) 3008(C) 2765(D) 312529. 2 + 2 = 5

3 + 3 = 73 + 6 = 115 + 25 = ?

(A) 35 (B) 40(C) 32 (D) 3430.

(A) 12 (B) 11(C) 10 (D) 9

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31.

1693305

3882?

4267178

12108254

(A) 127 (B) 132(C) 72 (D) 6332. A man walks 30 km towards South

and turns left and walks 50 km. Then

he walks 10 km North before he takesa left turn to walk 50 km. How far is hefrom the original place ?

(A) 30 km(B) 0 km(C) 10 km(D) 20 km33. A lady runs 12 km towards North

then 6 km towards South and then8 km East. How far is she from herstarting point and in which direction ?

(A) 10 km North-East(B) 10 km West(C) 5 km North-East(D) 5 km East

34. Samira is taller than Sanjay, butshorter than Sushil. Sunil is as tall asSamira, but shorter than Sandeep, whois not as tall as Sushil. Who is thetallest ?

(A) Sandeep (B) Samira(C) Sanjay (D) SushilDirections (Qs. 35 & 36) :In these

questions, two statements are givenfollowed by four conclusions I, II, IIIand IV. You have to consider thestatements to be true even if they seemto be at variance from commonlyknown facts. You are to decide whichof the given conclusions, if any, followfrom the given statements.

35. Statements:1. All books are pens.2. Some pens are scales.

Conclusions:I. Some books are scales.II. Some scales are books.

III. Some scales are pens.IV. Some pens are books.(A) Only conclusions III and IV

follow(B) Only conclusions I and IV follow(C) Only conclusions I and II follow(D) Only conclusions II and III

follow36. Statements:1. All stones are men.2. All men are tigers.

Conclusions:I. All stones are tigersII. All tigers are stones.III. All men are stones.IV. Some tigers are stones.(A) All conclusions follow(B) Conclusions I, II and IV follow(C) Only conclusions II and III

follow(D) Only conclusions I and IV followDirections (Qs. 37-39) : From the

given answer figures, select the one inwhich the question figure is hidden/embedded.

37. Question figure

Answer figures

(A) (B) (C) (D)38. Question figure

Answer figures

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

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39. Question figure

Answer figures

(A) (B) (C) (D)40. In the figure given below, what

does B represent ?

(A) Students who are both singersand dancers

(B) Students who cannot dance(C) Students who are singers(D) Students who are dancers41. How many students take Maths

and Physics but not Spanish ?

(A) 3(B) 5(C) 12(D) 742. Which answer figure will complete

the pattern in the question figure ?Question figure

Answer figures

(A) (B) (C) (D)43. A represents persons who talk

Tamil, B represents persons who talkTelugu, C represents persons who talkKannada, D represents persons whotalk Hindi.

Number of persons who talk any 3languages is

(A) K, I (B) H, K (C) F, H (D) F, K Directions (Qs. 44-46) :A piece of

paper is folded and cut as shown belowin the question figures. From the givenanswer figures, indicate how it willappear when opened.

44. Question figure

Answer figures

(A) (B) (C) (D)45. Question figures

Answer figures

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

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46. Question figures

Answer figures

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

Directions (Qs. 47 & 48) :If a mirroris placed on the line PQ, then whichof the answer figures is the correctimage of the given figure ?

47. Question figure

Answer figures

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

48. Question figure

Answer figures

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

Directions (Qs. 49 & 50) :A wordis represented by only one set ofnumbers as given in any one of thealternatives. The sets of numbers givenin the alternatives are represented bytwo classes of alphabets as in the twomatrices given below. The columnsand rows of Matrix I are numberedfrom 0 to 4 and that of Matrix II arenumbered from 5 to 9. A letter from

these matrices can be represented firstby its row and next by its column, e.g.F can be represented by 14, 21, etc.and P can be represented by 68, 75,etc. Similarly, you have to identify theset for the word given in each question.

49. DRIFT

Matrix-I Matrix-II

0 1 2 3 4 5 6 7 8 9

0 P I D S T 5 F P R S D1 U N R Q M 6 N L M T I2 D A E F G 7 A S N P R 3 B W V L N 8 D G Z W O4 C H J K I 9 N C K E S

(A) 85, 75, 96, 32, 40(B) 58, 57, 96, 23, 40(C) 20, 57, 69, 23, 68(D) 20, 12, 69, 32, 40

50. DIRT

Matrix-I Matrix-II

0 1 2 3 4 5 6 7 8 90 D E F I N 5 O P R S T

1 I N D E F 6 S T O P R 2 E F I N D 7 P R S T O3 N D E F I 8 T O P R S4 F I N D E 9 R S T O P

(A) 24, 34, 57, 66(B) 00, 10, 76, 86(C) 10, 00, 76, 86(D) 43, 34, 88, 79

ANSWERS

1. (A) : 42 1662 36

72 49

9

2

812. (D): 738 = 93 + 9Similarly73

3. (D): First letter +1 stepSecond and third letters

+2 steps.

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4. (A) : Each letter moves +2 steps.5. (D): Each letter moves steps equal

to its position in the alphabet.

D osteps4 H etc..

6. (B) : Each letter moves 2 steps.7. (D) 8. (B) 9. (D)

10. (D): Numbers at odd places+1

11. (D): Numbers at odd places

Numbers at even places 2

12. (D): First letter +1, +2, +3steps.

Second letters +2, +3, +4steps.

Third letter +3, +4, +5steps.

13. (A)14. (C) : Sunday

1st Wednesday 6thJanuary

4th Wednesday 27th

3 days after 27th January30th

15. (A) : There is no U in the givenword.

16. (B) 17. (C)18. (B) : Each letter is coded +2 steps.19. (B) : Given letters

C R A T ER E A C T

20. (B) : Sum of the digits of othernumbers are prime numbers.

21. (D) 22. (A) 23. (D) 24. (D)25. (A): The only odd number.26. (D): Each letter is coded 4 steps.27. (D): The number in the last row

numberSecondnumberThirdnumberFirst u

(Columnwise)28. (D): 2 + 2 = 4

44 = 2564 + 2 = 6

66 = 46656Similarly3 + 2 = 555 = 3125

29. (A):2

2225

3

3337

3

6

6311 Similarly

355

25255

30. (A) : Top number + Middle number= sum of lower numbers

31. (A): In each column,First number + Secondnumber= Third number + Fourthnumber

32. (D):

Required distance= 30 10 = 20 km

33. (A):

Required distance

km1068 22 34. (D) 35. (A) 36. (D) 37. (A)38. (A) 39. (B) 40. (D) 41. (C)42. (D) 43. (C)44. ( ) : No fold of paper is shown.45. (A) 46. (D) 47. (B) 48. (B)49. (C) 50. (A)

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PART B : GENERAL KNOWLEDGE &

GENERAL AWARENESS

51. Demand for labour is(A) Composite demand(B) Competitive demand(C) Derived demand(D) Joint demand52. In India, National Income

estimates are prepared by

(A) National Development Council(B) Central Statistical Organisation(C) National Sample Survey

Organisation(D) Planning Commission53. Who among the following were

members of the Swaraj Party ?1. Motilal Nehru2. Sardar Patel3. Gopal Krishna Gokhale(A) 2 and 3(B) 1, 2 and 3(C) 1 and 2(D) 1 only

54. Employment in Agriculture comesunder

(A) Services Sector(B) Semi-organised Sector(C) Organised Sector(D) Unorganised Sector55. Which of the following methods

is effective in controlling Balance ofPayments (BoP) ?

(A) Abolition of Export Duties(B) Tourism Development(C) Devaluation(D) Foreign Direct Investment56. Provisions relating to Panchayati

Raj can be found in which Schedule ofthe Indian Constitution ?

(A) 10(B) 11(C) 7(D) 9

57. The first battle of Panipat tookplace in the year

(A) 1527 A.D.(B) 1528 A.D.(C) 1525 A.D.(D) 1526 A.D.58. Who is the ex-officio Chairman

of Rajya Sabha ?(A) Leader of Opposition(B) Minister of Parliamentary Affairs(C) President(D) Vice-President59. According to the Constitution,

which Fund will be under the controlof the President of India ?

(A) Contingency Fund of India(B) Public Provident Fund(C) Consolidated Fund of India(D) States Consolidated Fund of

India60. Who is chosen by the members

of Rajya Sabha ?(A) President(B) Vice-President(C) Chairperson(D) Deputy Chairman61. Arrange the following in order,

starting from the earliest :1. Rowlat t Act2. Regulating Act3. Woods Despatch4. Simon Commission(A) 4, 3, 2, 1(B) 2, 3, 1, 4(C) 1, 3, 4, 2(D) 2, 1, 3, 4

62. The boundary line between Indiaand China is called

(A) McMahon Line(B) Red Line(C) Radcliffe Line(D) Durand Line

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63. 95% of worlds diamond reservesare found in

(A) Ghana(B) Kimberley(C) Johannesburg(D) Zambia64. The most dangerous consequence

of excessive deforestation is :(A) destruct ion of wild animal

habitats

(B) soil erosion(C) loss of forest wealth(D) loss of many valuable plants65. Green house effect means(A) Trapping of solar energy due to

atmospheric carbon dioxide(B) Prevention of u l tra -violet

radiations by ozone layer(C) Pollution in houses in tropical

region(D) None of these66. The most stable eco-system is(A) Desert(B) Ocean(C) Forest

(D) Mountain67. An ideal example of sustainableresource is

(A) Afforestation(B) Farming(C) Reforestation(D) Agroforestation68. What is the recent source of

pollution of underground water ?(A) Thermal Power Stations(B) Biogas Plants(C) Sewage(D) Landfills69. The Indian Prime Minister who

died in Tashkent was

(A) Lal Bahadur Shastri(B) P.V. Narasimha Rao(C) Jawaharlal Nehru(D) Indira Gandhi70. What was the name of the Samaj

founded by Raja Rammohan Roy ?

(A) Brahmo Samaj(B) Satya Samaj(C) Prarthana Samaj(D) Arya Samaj71. The man who led the Mutiny in

Bihar was(A) Ranjit Singh(B) Pratap Singh(C) Amar Singh(D) Kunwar Singh

72. During whose reign did HiuenTsang visit Kanchipuram (the capital ofPallavas) ?

(A) Mahendra Varma II(B) Narasimha Varman I(C) Mahendra Varma(D) Rajasimha73. The Suez Canal connects the

Mediterranean Sea with the(A) Caspian Sea(B) Persian Gulf(C) Red Sea(D) Black Sea74. Which one of the following is

not a correct match ?

(A) Haldia West Bengal(B) Kandla Gujarat(C) Marmagao Goa(D) Paradeep Assam75. Doddabetta Peak is located in the(A) Anaimalai(B) Mahendragiri(C) Nilgiris(D) Shevaroys76. Genes are made up of(A) Only RNA(B) Only DNA(C) DNA, RNA and Protein(D) DNA and RNA77. The Lotus plants have no root

hairs because(A) the conducting tissue is not well-

developed in roots.(B) it can store water in the stem.(C) the roots are adventitious.(D) it need not absorb water by roots.

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78.The organism living at the bottomof water mass is called

(A) Benthos(B) Plankton(C) Nekton(D) Neuston79. Light energy is converted to

chemical energy during the process of(A) photosynthesis.(B) fat metabolism.

(C) transpiration.(D) respiration.80. Each chromosome in the nucleus

of a cell consists of(A) two chromatids only.(B) two centromeres only.(C) two centromeres attached to a

chromatid.(D) two chromatids attached to a

centromere.81. White blood cells are produced

in the(A) Tongue(B) Thyroid gland and suprarenal gland(C) Bone marrow and lymph glands(D) Ductless glands82. Find the odd one :(A) Limestone(B) Slaked iron(C) Marble(D) Chalk83. A basic instruction that can be

interpreted by computer generally has(A) an operation and an address(B) an instruction register and an

address(C) a decoder and an accumulator(D) None of the above84. Software needs to be protected

against(A) fire, flood, lightning and rock

slides(B) unauthorised access(C) worms and viruses(D) Both (B) and (C)

85. Alta Vista is a/an(A) browser(B) search engine(C) application(D) software86. Cold air blows from sea towards

land during day particularly in theafternoon because of

(A) expansion of air of land causingthe air to rise up.

(B) lower specific heat and greaterabsorbing power causes land tobe hotter than sea causingconvection current in air.

(C) lower specif ic heat of landcompared with water.

(D) greater absorbing power of landcompared with water.

87. The material used for safety fromnuclear radiation is

(A) Gold(B) Lead(C) Copper(D) Platinum

88. The filament of the electric bulbis generally made of tungsten because

(A) its melting paint is low.(B) its temperature coefficient of

resistance is high.(C) its resistivity is low.(D) its melting point is high.89 . The apex organisation for

marketing cooperative societies atnational level is

(A) NCCF(B) NCU(C) FCI(D) NAFED

90. God helps those who helpthemselves. Who said these words ?

(A) Algernon Sidney(B) Nelson Mandela(C) Swami Vivekanand(D) Andre Maurois

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91. Mother Teresa was awarded theNobel Peace Prize in

(A) 1976(B) 1979

(C) 1969(D) 1971

92. As per 2011 Census results, thedensity of population in India is

(A) 362

(B) 382(C) 325(D) 34593. Indias Space Rocket Launching

Centre is in

(A) Sriharikota(B) Port Blair(C) Wheeler Island(D) Hassan

94. Who has been sworn in as theUnion Railway Minister after theresignation of Dinesh Trivedi ?

(A) Muket Rai

(B) Prasano Dev Barua(C) Mukul Roy

(D) Harihar Banerji

95. The natural gas is(A) Hydrogen sulphide

(B) Methane(C) Nitrogen dioxide

(D) Sulphur trioxide96. Desalination of sea water is done

by(A) reverse osmosis

(B) fractional distillation(C) diffusion(D) osmosis

97. The man-made structure on Earth

visible from space is(A) Great Wall of China(B) Gizas Pyramid

(C) Golden Gate Bridge(D) Eiffel Tower98. Which one of the following actors

was awarded the Dada Saheb PhalkeAwa rd at th e 59 th Na tional Fi lmFestival ?

(A) Soumitra Chatterjee(B) Ketan Mehta(C) Shekhar Kapoor

(D) Mahesh Bhatt99. Which is the only host team towin the ICC (50 over) Cricket WorldCup ?

(A) South Africa(B) India(C) Australia(D) West Indies100. The objective of Sangam Yojna

is(A) to make Ganga water pollution

free.(B) to make Sangam reg ion of

Allahabad more attractive for

tourists.(C) to unite various group of Hindus.(D) to ensure welfare of handi-

capped.

ANSWERS

51. (C) 52. (B) 53. (D) 54. (D)55. (C) 56. (B) 57. (D) 58. (D)59. (A) 60. (D) 61. (B) 62. (A)63. (B) 64. (B) 65. (A) 66. (B)67. (D) 68. (D) 69. (A) 70. (A)71. (D) 72. (B) 73. (C) 74. (D)75. (C) 76. (B) 77. (D) 78. (A)

79. (A) 80. (D) 81. (C) 82. (B)83. (A) 84. (D) 85. (B) 86. (B)87. (B) 88. (D) 89. (D) 90. (A)91. (B) 92. (B) 93. (A) 94. (C)95. (B) 96. (A) 97. (A) 98. (A)99. (B) 100. (D)

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PART C : QUANTITATIVE APTITUDE

101. Two pipes A and B can fill a tankin 6 hours and 8 hours respectively. Ifboth the pipes are opened together, thenafter how many hours should B be closedso that the tank is full in 4 hours ?

(A) 2 (B)3

8

(C)32 (D) 1

102. A sofaset listed at Rs. 800 is soldto a retailer at successive discounts of25% and 15% by the wholesaler. Thenthe cost price of the sofaset for theretailer is

(A) Rs. 550 (B) Rs. 560(C) Rs. 500 (D) Rs. 510103. A washing machine is sold at a

discount of 30%. If a man buys it forRs. 6,580, its list price is

(A) Rs. 9,400 (B) Rs. 6,990(C) Rs. 7,500 (D) Rs. 8,600104. Two numbers are in the ratio of

3 : 5. If 9 be subtracted from each,then they are in the ratio of 12 : 23.Find the numbers.

(A) 33 : 55 (B) 60 : 69(C) 15 : 28 (D) 36 : 115105. A vessel is filled with liquid, 3

parts of which are water and 5 partssyrup. How much of the mixture mustbe drawn off and replaced with waterso that the mixture may be half waterand half syrup ?

(A)5

1(B)

7

1

(C)3

1(D)

4

1

106. The average weight of 4 0children of a class is 36.2 kg. Whenthree more children with weights 42.3kg, 39.7 kg and 39.5 kg join the class,the average weight of the 43 children in

the class is(A) 38.35 kg (B) 37.3 kg (C) 39.2 kg (D) 36.5 kg 107. The value of

096.4625.0025.0

625.15256.0064.0

uu

uuis

(A) 0.24 (B) 4.2

(C) 2 (D) 2.4108. The simplified value of

3

1

5

1

5

1

4

1

4

1

3

1

5

1

5

1

4

1

4

1

3

1

3

15

1

4

1

3

13

5

1

5

1

5

1

4

1

4

1

4

1

3

1

3

1

3

1

is

(A)60

13

(B)60

49

(C)60

51

(D)60

47

109. The least number of 5 digitswhich has 123 as a factor, is

(A) 10081 (B) 10063(C) 10037 (D) 10086110. For a certain month, the dates

of three of t he Sundays are evennumbers. Then, the 15th of that monthfalls on a

(A) Saturday (B) Sunday (C) Thursday (D) Friday 111. If [n] denotes the greatest integer

< n and (n) denotes the smallest integer> n where n is any real number, then

)5.1(5

11

5

11

5

11

5

11

y

u

is

(A) 2.5 (B) 3.5(C) 1.5 (D) 2

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112. To do a certain work, B wouldtake time thrice as long as A and Ctogether and C twice as long as A andB together. The three men togethercomplete the work in 10 days. The timetaken by A to complete the workseparately is

(A) 30 days (B) 20 days(C) 22 days (D) 24 days113. The rate of interest per annum

at which the total simple interest of acertain capital for 1 year is equal to thetotal simple interest of the same capitalat the rate of 5% per annum for 2 years,is

(A) 25% (B) 12.5%

(C) %2

5(D) 10%

114. A cube of edge 6 cm is paintedon all sides and then cut into unit cubes.

The number of unit cubes with no sidespainted is

(A) 186 (B) 108(C) 0 (D) 64115. A sector is formed by opening

out a cone of base radius 8 cm andheight 6 cm. Then the radius of thesector is (in cm)

(A) 10 (B) 6(C) 4 (D) 8116. A right angled isosceles triangle

is inscribed in a semi-circle of radius7 cm. The area enclosed by the semi-circle but exterior to the triangle is

(A) 44 cm2 (B) 68 cm2

(C) 14 cm2 (D) 28 cm2

117. The base of a right prism is anequilateral triangle of side 8 cm andheight of the prism is 10 cm. Then the

volume of the prism is

(A) cmcubic3150

(B) cmcubic3300

(C) cmcubic3320

(D) cmcubic3160

118. A right cylindrical vessel is fullwith water. How many right cones havingthe same diameter and height as that ofthe right cylinder will be needed to store

(Take = 22/7)(A) 3 (B) 5(C) 4 (D) 2119. What is the area of a triangle

having perimeter 32 cm, one side 11 cm

and difference of other two sides 5 cm ?(A) 2cm306 (B) 2cm28

(C) 2cm308 (D) 2cm355120. A man purchases milk for three

consecutive years. In the first year, hepurchases milk at the rate of Rs. 7.50per litre, in the second year, at the rateof Rs. 8.00 per litre and in the thirdyear, at Rs. 8.50 per litre. If he purchasesmilk worth Rs. 4,080 each year, theaverage price of mi lk per litre for thethree years is

(A) Rs. 7.54 (B) Rs. 7.83(C) Rs. 7.68 (D) Rs. 7.98

121. A man bought a certain quantityof rice at the rate of Rs. 650 per quintal.20% of the rice was spoiled. At whatrate should he sell the remaining rice togain 20% on the outlay ?

(A) Rs. 890 (B) Rs. 975(C) Rs. 775 (D) Rs. 850122. A dishonest shopkeeper, using a

faulty balance makes a profit of 5%while buying as well as while selling hisgoods. His actual gain percent in thewhole process amounts to

(A) 10.25 (B) 10.5(C) 11 (D) 10123. The price of an article has been

reduced by 25%. In order to restore theoriginal price, the reduced price must beincreased by

(A) 33% (B) %3

133

(C) 25% (D) 30%

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124. The numerator of a fraction isincreased by 20% and denominator isdecreased by 20%. The value of thefraction becomes 4/5. The originalfraction is

(A)11

7(B)

5

4

(C)3

2(D)

15

8

125. Points A and B are 70 km aparton a highway. A car starts from A andanother from B at the same time. Ifthey travel in the same direction, theymeet in 7 hours, but if they traveltowards each other, they meet in onehour. Find the speed of the 2 cars (inkm/hr).

(A) 30, 50 (B) 20, 40(C) 20, 30 (D) 40, 30126. If G be a centroid of a triangle

magnitude of BGC is(A) 120 (B) 135(C) 60 (D) 90

Internal bisectors of angles B

BAC = 80, then the value of BOCis

(A) 110 (B) 130(C) 120 (D) 140128. The radii of two circles are 5 cm

and 3 cm, the distance between theircentres is 24 cm. Then the length of thetransverse common tangent is

(A) cm216 (B) 15 cm

(C) 16 cm (D) cm215129. The angle of elevation of an

aeroplane from a point on the ground is

60. After 15 seconds flight, the elevationchanges to 30. If the aeroplane is flying

at a height of ,m31500 find the speed

of the plane.(A) 100 m/sec (B) 150 m/sec(C) 300 m/sec (D) 200 m/sec

130. If sec + tan = 2, then thevalue of sec is

(A) 5/4 (B) 2(C) 4/5 (D) 5

sin = l andsec cos = m, then the value of

l2m

2(l 2 + m2 + 3) is(A) 1 (B) 2(C) 1 (D) 0132. The value of (tan 35 tan 45

tan 55) is(A) 0 (B) 1

(C)2

1(D) 2

133. If sec (73 ), then the value of is

(A) 60 (B) 9(C) 8 (D) 5134. A spherical lead ball of radius

10 cm is melted and small lead balls ofradius 5 mm are made. The total

(Take = 22/7)(A) 800 (B) 125(C) 8000 (D) 400135. If ax2 + bx + c = a(x p)2, then

the relation among a, b, c would be(A) b2 = 4ac (B) 2b = a + c(C) abc = 1 (D) b2 = ac136. If x + y + z = 6, then the value

of (x 1)3 + (y 2)3 + (z 3)3 is(A) 3 (x 1) (y 2) (z + 3)(B) 3 (x 1) (y 2) (z 3)(C) 3 (x 1) (y + 2) (z 3)(D) 3 (x + 1) (y 2) (z 3)137. The graph of the equation

4x 5y = 20 intersects the x-axis at thepoint

(A) (4, 5) (B) (0, 5)(C) (2, 0) (D) (5, 0)

138. If x + y = 2z, then the value of

zy

z

zx

x

is

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

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139. If x2 + 1 = 2x, then the value of

1x3x

x

1x

2

2

4

is

(A) 2 (B) 2(C) 0 (D) 1140. Chords AB and CD of a circle

intersect externally at P. If AB = 6 cm,CD = 3 cm and PD = 5 cm, then thelength of PB is

(A) 6 cm(B) 4 cm(C) 5 cm(D) 6.25 cm141. O is the centre of a circle and

O. AB is extended to P. Then, PBC is(A) 65 (B) 80(C) 75 (D) 70Directions (Qs. 142-146) :Study the

following graph carefully and answerthese questions.

142. The average export of pearls forthe given period (in crores Rs.) was

(A) 9.73 (B) 8.85(C) 8.7 (D) 8.73143.

In which year was theremaximum percentage increase in exportof pearls to that in the previous year ?

(A) 2005(B) 2004(C) 2002(D) 2007

144. In how many years was the exportabove average for the given period ?

(A) 5(B) 3(C) 2(D) 4145. In which of the following pairs

of years was the average export of pearlsaround Rs. 9 crores ?

(A) 2004 and 2005

(B) 2005 and 2006(C) 2002 and 2003(D) 2003 and 2004146. What was the percentage increase

in export from 2006 to 2007 ?(A) 20%

(B) %3

133

(C) %3

216

(D) 19%Directions (Qs. 147-150) : A graph

showing the price of rice in Indiaduring the years 2000 to 2003 is given

below. Study the graph carefully andanswer the questions.

147. For the month of May, the graphshows that the price of rice was thelowest in the year

(A) 2002(B) 2003(C) 2000(D) 2001

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148. The range of price for a year isthe difference between the maximumand the minimum prices for that year.

The graph shows that this range of pricewas the greatest for the year

(A) 2002 (B) 2003(C) 2000 (D) 2001149. The month in which the prices

of rice were equal for the years 2000and 2001 was

(A) June(B) November(C) September(D) August150. The maximum difference in price

between any two years was in the monthof

(A) March(B) December(C) January(D) November

ANSWERS

101. (A): A is opened for 4 hours,portion of tank filled by A

in 4 hours

3

2

6

4

Portion of tank filled by B

3

1

3

21

Time taken by B

.hrs3

88

3

1u

102. (D): Cost price for the retailer= 800 0.75 0.85= Rs. 510

103. (A) : Required list price

9400.Rs658070100 u

104. (A) : Only numbers in option (A)satisfy the first givencondition. They also satisfysecond condition.

105. (A)106. (D): Required average weight of

43 children

43

5.397.393.422.3640 u

5.3643

5.1201448

107. (C) :

096.4625.0025.0

625.15256.0064.0

uu

uu

4096

15625

625

256

25

64uu

264

125

25

16

5

8uu

108. (D): Putting andb4

1,a

3

1

c5

1

The fraction reduces to

)cabcab(cba

abc3cba

222

333

)cabcabcba(

)cabcab

cba)(cba(

222

222

= a + b + c

5

1

4

1

3

1

60

47

60

121520

109. (D): The number must be

divisible by 3.110. (A)

111. (D):

y

u

5

11

5

11

5

11

5

11

(1.5)

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2 1 2 1 + 2 = 2112. (D): Let (A + C) complete the job

in x days.B will complete the job in 3xdays

10

1

x

1

x3

1

10

1

x3

31

3

40x

B takes 40 daysSimilarlyLet (A + B) takes y daysC will take 2y days.

10

1

y2

1

y

1

10

1

y2

3 y = 15

As one days work

401

151

24

1

120

5

120

38

A takes 24 days to do thejob.

113. (D) 114. (D)115. (A): Radius of the sector formed

= Slant height of the cone

cm1068 22 116. (D):

Area of the semi circle.

777

221uuu = 77 sq. cm

In ABC, AB = AC

Area of ABC

2AB2

1ACAB

2

1uu

BC2 = AB2 + AC2 = 2AB2

982

1414AB2

u

Area of ABC

2

cm49982

1u

Required area= 77 49 = 28 cm2

117. (D): Volume of the prism= Area of the base height

10884

3uuu

cc3160118. (A)119. (C) : Perimeter = 32 cm

One side = 11 cmSum of two sides = 21 cmDifference of two sides= 5 cmSides are 13 cm and 8 cmArea of the triangle

)cs)(bs)(as(s

Where 162

32s and a, b,,

c are sides of the triangleRequired area

83516 uuu

cm.sq308120. (D): Total quantity of milk

purchased in three years

5.8

4080

8

4080

5.7

4080

= 544 + 510 + 480= 1534 litresAverage price per litre

98.7.Rs1534

40803

u

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121. (B) : Let the rice bought be xquintals.Total cost price = 650xGain = 20%Total selling price= 650x 1.2= 780 xSelling price per quintal

975.Rs

x8.0

x780

122. (A)123. (B) : Let the price be Rs. 100

Reduced price = Rs. 75Percentage increase

%3

133

3

100100

75

25u

124. (D): Let the fraction bey

x.

5

4

y8.0

x2.1

158

0.62.3

yx

125. (D): Let the speed of the car Abe x km/hr and that of carB be y km/hr.7x = 7y + 70and (x + y) = 70x = 70 y490 7y = 7y + 7014y = 420y = 30 km/hrx = 70 30 = 40 km/hr

126. (D)

127. (B) :

ABC + ACB = 100OBC + OCB

qq

502

100

In OBCBOC = 180 50 = 130

128. (A)

129. (D):

360tanOA

31500q

OA = 1500 m

3

130tan

OB

31500q

OB = 4500 mDistance covered in 15seconds.= 4500 1500 = 3000 m

Speed s/m20015

3000

130. (A): We have

1tansec 22 TT

)tan)(sectan(sec TTTT= 1

1)tan(sec2 TT

)2tansec( TT (Given)

2

1tansec TT

and 2tansec TT

252

21sec2 T

4

5sec T

131. (A)

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132. (B) : tan 35 tan 45 tan 55= tan 35 tan 45 tan (90 35)= tan 35 tan 45 cot 35= tan 45 = 1.

133. (C) : )287sec( qT

= )330(eccos Tq

))287(90(eccos qTq

= )330(eccos TqTqqTq 33028790

TTqqq 37302890

qT 324

qT 8134. (C) : Total number of small balls

8000

2

1

3

4

)10(3

4

3

3

S

S

135. (A): cbxax2

a(x2

+ p2

2px)= ax2 + ap2 2apx

b = 2ap ora2

bp

2

22

a4

baapc

4ac = b2

136. (B) : Let x 1 = ay 2 = bz 3 = ca + b + c = x + y + z 6= 6 6 = 0

Hence abc3cba333

137.4x = 20 x = 5

138.x = 2z yx z = 2z y z = z y

zy

z

zx

x

1zx

zx

zx

z

zx

x

139. 2 + 1 2x = 0(x 1)2 = 0 x = 1

1x3x x

1x

2

2

4

21

2

131

11

140. (B) :

PA PB = PC PD(6 + x) x = 8 5x2 + 6x 40 = 0(x + 10) (x 4) = 0x = 4 cm

141. (A)

142. (B) : Average export over thegiven period.

7

4.115.98.10

9.98.75.62.5

73.8728.87

1.61|

143. (B) : Year Increase2002 25%

2004 26.9%2005 9%

2007 20%144. (D): Refer Q 142 for average.145. (D)

146. (A) : Refer Q 143

147. (B) 148. (C)149. (A) 150. (B)

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Directions (Qs. 151 to 155) :Someparts of the sentences have errors andsome have none. Find out which partof a sentence has an error and markthat part (A), (B) or (C) as your answer.If a sentence is free from error, then(D) is the answer.

151. I am (A)/ elder (B)/ than Kumar.(C)/ No error. (D)

152. This story (A)/ has beenadapted (B)/ for Indian students. (C)/No error. (D)

153. Please order (A)/ for a cup oftea (B)/ immediately. (C)/ No error. (D)

154. Finally, the management accededwith (A)/ the request of the workers(B)/ which brought the strike to end.(C)/ No error. (D)

155. The singer (A)/ performedve r y wel l (B) / did nt she ? (C )/No error. (D)

Directions (Qs. 156-160) :Sentences are given with blanks tobe filled in with an appropriate

word( s). Four al terna tive s ar esuggested for each question. Choosethe correct alternative out of the four.

156. She is the girl ______ won theaward.

(A) who(B) that will(C) which(D) that157. Kamla jumped ______ the pier.(A) off (B) at(C) of (D) from158. _______ the high decrease in

inflation, our currency seems to haveincreased in value.

(A) As far as(B) However(C) Thanks to(D) Despite159. He cannot part _____ his money.(A) on (B) to(C) at (D) with

PART D : ENGLISH COMPREHENSION

160. I had to spend 5 minutes on the3rd question and had great difficultyanswering it. I think it was _______ all.

(A) much confusing than(B) the most confusing of(C) more confusing than(D) as confusing asDirections (Qs. 161-165) : Out of

the four alternatives, choose the onewhich best expresses the meaning ofthe given word.

161. Endeavour(A) attempt (B) follow (C) approve (D) endure162. Beckon(A) signal (B) hear(C) light (D) beg 163. Diligent(A) hard-working(B) urgent(C) intelligent(D) unintelligent164. Alleviate(A) attract (B) reduce

(C) release (D) improve165. Negligent(A) heedful (B) nervous(C) unimportant (D) carelessDirections (Qs. 166-170) : Choose

the word opposite in meaning to thegiven word.

166. Deviate(A) conform(B) stray(C) digress(D) deflect167. Capricious(A) mercurial(B) unreliable

(C) impulsive(D) predictable168. Lucrative(A) unprofitable(B) painful(C) common(D) early

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169. Submissive(A) uncooperative(B) subdued(C) docile(D) aggressive170. Profusion(A) ample(B) dearth(C) plethora(D) excess

Directions (Qs. 171-175) : Fouralternatives are given for the idiom/phrase. Choose the alternative whichbest expresses the meaning of theidiom/phrase.

171. To take the bull by the horns(A) to grapple courageously with a

difficulty(B) to bypass the legal process(C) to replenish(D) to handle it with care172. To hit below the belt(A) to strike at the exact position(B) to hit the target(C) to work confidently(D) to harm unfairly173. To throw cold water over(A) to reject(B) to discourage(C) to encourage(D) to clear174. To foot the bill(A) promise(B) pay the bill(C) bribe(D) punish175. Pillar to post(A) home to post office(B) office to office(C) home to office(D) place to placeDirections (Qs. 176-180) :A part of

the sentence is underlined. Below aregiven alternatives to the underlined partat (A), (B) and (C) which may improvethe sentence. Choose the correctalternative. In case no improvement is

needed, your answer is (D).176. She has answered all the

questions, isnt she ?(A) hasnt she ?(B) aint she ?(C) has she ?(D) No improvement177. He denied having stolen my

dictionary.(A) disagreed

(B) rejected(C) refused(D) No improvement178. If he had come in time, he would

not have been denied entry.(A) might(B) should(C) could(D) No improvement179. He lost the help of his master.

He was dismissed from his high office.(A) favour(B) name(C) terms(D) No improvement

180. It was her who suggested yoube at the door.(A) them(B) him(C) she(D) No improvementDirections (Qs. 181-185) : Out of

the four alternatives, choose the onewhich can be substituted for the givenwords/underlined part of the sentence.

181. A pe rs on who takes nointoxicating drink

(A) addict(B) teetotaller(C) drunkard

(D) non-alcoholic182. Disbeliever in God(A) agnostic(B) deist(C) theist(D) atheist

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183. Dr. Krishna Menon was ademagogue.

(A) one who can sway ones followersby intelligence

(B) one who can sway ones followersby the power of oratory

(C) one who commands onesfollowers with threats

(D) one who loves ones followers184. Dr. Johnson was the first

lexicographer of English language.(A) one who writes a book on the

history of language(B) one who compiles a dictionary(C) one who writes a book on

grammar(D) one who regulates spelling185. My friends eldest son is a

prodigal.(A) one who abandons home to earn

money(B) one who abandons home to put

ones parents to grief(C) one who abandons marriage

(D) one who sacrifices oneself for thefamilyDirections (Qs. 186-190) :There are

four different words out of which oneis correctly spelt. Find the correctlyspelt word.

186.(A) dilappidete(B) dillapidate(C) dilapidate(D) delapidate187.(A) ascertain(B) ascirtain(C) ascertan

(D) acsertain188.(A) conscios(B) consious(C) conscious(D) conseious

189.(A) crediblity(B) creddibility(C) credibility(D) credebility190.(A) satellite(B) satillite(C) satelite(D) sattelite

Directions (Qs. 191-200) :Read thefollowing passage carefully and choosethe best answer to each question outof the four alternatives.

James Naismith, a physical educationteacher in Massachusetts, inventedbasketball in 1891. Naismiths boss askedhim to invent a game that students couldplay indoors during bad weather. Hewanted to find a game that wasnt asphysically rough as soccer, football, orwrestl ing. Naismith attached peachbaskets to a railing ten feet above thefloor at either end of the gym.

The players used a soccer ball. Aperson sat on a ladder next to eachbasket at either end of the gym, andthrew out the balls that landed in thebaskets. Naismith decided that havingonly five players on each team wouldkeep the game from getting too rough.

Two years later, metal hoops with netbags replaced the peach baskets.Officials pulled a string on the nets torelease the balls that went in. In 1894,Naismith added the back board behindeach net and changed to a larger ball.In 1913, people began using thebottomless nets that are used today.

By the 1990s, basketball was the mostpopular indoor sport. Athletes inapproximately 130 countries play thegame. Basketball is especially popularin the United States, China, and PuertoRico.

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Todays baseball players use specialequipment to help prevent injuries. Fieldplayers wear baseball gloves to protecttheir hands. The catcher wears a metalmask, a chest protector, and shin guards.Batters wear plastic helmets to protecttheir heads.

191. The kind of baskets used todayfor the game are

(A) Net bags

(B) Bottomless baskets(C) Metal hoops(D) Peach baskets192. A suitable title for the above

passage would be(A) Development of Basketball(B) How to play Basketball(C) Invention of Basketball(D) Rules of Basketball193. Which word from the above

passage means Rowdy?(A) Release(B) Rack (C) Rough

(D) Replace194. What were the two new thingsadded to the game in 1894 ?

(A) Backboard back and a soccer ball(B) Backboard back and helmets(C) Backboard back and a new ball(D) None of these195. The correct order of the events

in the passage is :P. Basketbal l became a popular

indoor sport.Q. Peach baskets were replaced by

metal hoops and net bags.R. Peach baskets and soccer balls

were used to play the game.

S. Basketball was invented to beplayed indoors.

(A) PQRS(B) SPRQ(C) SRQP(D) PRSQ

196. Why were only five playersincluded in the game initially ?

(A) To make it rough(B) To make it inconvenient(C) To make it easy(D) None of these197. Field players wear baseball

gloves to protect their hands. What isthe synonym for the word protect ?

(A) Cover

(B) Fit(C) Save(D) Harm198. Basketball was designed to be

an(A) Indoor sport(B) Outdoor and indoor sport(C) Outdoor sport(D) None of these199. According to the author, which

games are physically rough ?(A) Football(B) Wrestling(C) Soccer(D) All of these

200. What does the phrase either endof the gym imply ?(A) On one side of the gym(B) On the other side of the gym(C) Both sides of the gym(D) None of these

ANSWERS

151. (B) 152. (B) 153. (B) 154. (A)155. (D) 156. (A) 157. (A) 158. (C)159. (D) 160. (B) 161. (A) 162. (A)163. (A) 164. (B) 165. (D) 166. (A)167. (D) 168. (A) 169. (D) 170. (B)171. (A) 172. (D) 173. (B) 174. (B)175. (D) 176. (A) 177. (D) 178. (D)

179. (A) 180. (C) 181. (B) 182. (D)183. (B) 184. (B) 185. (A) 186. (C)187. (A) 188. (C) 189. (A) 190. (A)191. (B) 192. (A) 193. (C) 194. (C)195. (C) 196. (C) 197. (C) 198. (A)199. (D) 200. (C)

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SI Exec. in DP - I

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