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  • 8/10/2019 02.Practice Set SSC-CGL TIER I.pdf

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    PRACTICE SET

    SSC-CGL TIER-IPart A: General Intelligence And

    Reasoning

    Directions: In question nos. 1 to 9, select the related

    words/letters/number from the given alternatives.

    1. EGI : HEL : : JLN : ?

    (A) MQJ (B) MJQ

    (C) MQR (D) MOQ

    2. KOP : RVW : : FJK : ?

    (A) RQM (B) MRQ

    (C) GKL (D) MQR

    3. RS : PU : : TV : ?(A) SU (B) SY

    (C) SW (D) WX

    4. 25 : 343 : 32 : ?

    (A) 125 (B) 216

    (C) 512 (D) 81

    5. 85 : 55 : : 95 : ?

    (A) 65 (B) 81

    (C) 72 (D) 25

    6. 74 : 65 : : 36 : ?

    (A) 39 (B) 54 (C) 45 (D) 90

    7. Touch : Push : : ?

    (A) Pull : Draw (B) Cup : Glass

    (C) Milk : Tea (D) Sip : Gulp8. Window : Panes : : Book : ?

    (A) Covers (B) Pages

    (C) Letters (D) Novels

    9. Truck : Scooter : Gear : : ?

    (A) Home : Hut : Palace (B) Horse : Ox : Big

    (C) Dog : Squirrel : Tail (D) Tiger : Fox : Water

    Directions: In questions nos. 10 to 14, find the odd

    word/numbers/letters from the given alternatives.

    10. (A) HI (B) DE

    (C) PQ (D) UV

    11. (A) CEI (B) FHL

    (C) JMQ (D) PRV

    12. (A) 7 26 (B) 5 31

    (C) 9 32 (D) 10 35

    13. (A)2

    1(B)

    9

    5

    (C)13

    2(D)

    7

    9

    14. (A) Mensuration (B) Geography

    (C) Algebra (D) Arithmetic

    Directions: In question nos. 15 and 16 arrange thegiven words as per order in the English dictionary and

    select the option indicating the correct order.

    15. 1. Jasper 2. Japanese

    3. January 4. Jasmine

    5. Jaguar

    (A) 5, 3, 4, 2, 1 (B) 5, 4, 3, 2, 1

    (C) 5, 1, 2, 4, 3 (D) 5, 3, 2, 4, 1

    16. 1. Pachyderm 2. Pacific

    3. Pacifism 4. Pacification

    5. Pacemaker

    (A) 5, 1, 2, 4, 3 (B) 5, 1, 2, 3, 4

    (C) 5, 1, 4, 3, 2 (D) 1, 2, 3, 4, 5

    Directions: In questions nos. 17 to 21 a series is

    given with one term missing. Choose the correct

    alternative from the given ones.

    17. G K M Q S ?

    (A) Y (B) W (C) X (D) U

    18. 29 121 16 49 ?

    (A) 81 (B) 64 (C) 169 (D) 25

    19. 7 28 84 168 ?

    (A) 260 (B) 168 (C) 336 (D) 504

    20. DFH IKM NPR ?

    (A) SUW (B) SWU (C) TVX (D) STU

    21. DF GJ KM NQ ?

    (A) ST (B) TV (C) RU (D) RTDirections: In question nos. 22 to 24, from the given

    alternative words, select the word which cannot be formed

    using the letters of the given word.

    22. ENDEAVOUR

    (A) ROUND (B) NEVER

    (C) DROWN (D) DROVE

    23. TRIBUNAL

    (A) BRAIN (B) LATIN

    (C) BAIL (D) BUNDLE

    24. DEPARTMENT

    (A) PAYMENT (B) READ

    (C) TEMPER (D) ENTER

    25. Which of the following interchanges of signs wouldmake the given equation correct?

    8 2 + 9 6 3 =2

    33

    (A) and + (B) and

    (C) + and (D) and =

    26. Identify the symbols to be inserted in place of to

    make the expression correct.

    3 3 12 8 20

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    (A) + = (B) = +

    (C) + = (D) = +

    27. Which of the following interchanges of signs would

    make the given equation correct?

    6 + 12 6 17 3 = 25

    (A) + and (B) and

    (C) + and (D) and

    Directions: In question nos 28 to 30, find the missing

    number from the given responses.

    28.

    (A) 29 (B) 20

    (C) 51 (D) 48

    29.

    (A) 10 (B) 24 (C) 30 (D) 8

    30.

    (A) 620 (B) 900

    (C) 930 (D) 830

    31. A starts from Z, meets K, and after that he meets M,

    and finally he meets D. During this, he walks in a

    straight line. The distance between every friend he

    meets increases by 5 metres. If the distance between

    Z and K is 20 metres, then how much total distance

    did he cover?(A) 70m (B) 60m

    (C) 30m (D) 75m

    32. There are four trees A, M, B and P. Tree A is exactly

    between tree P and B. Tree P is 20m towards north of

    tree B. Tree M is 10 metres towards East of tree A.

    Tree B is in which direction with respect to tree M?

    (A) East (B) South-West

    (C) South (D) North-West

    33. If PLAIN is coded as LPIAO, then FLOUR will be coded

    as

    (A) LFUOS (B) LFOUS

    (C) LOFUR (D) LUORF

    34. If RETURN is coded as 243126 and UNION is coded

    as 16856, then ROTTEN will be coded as

    (A) 2463346 (B) 2436856

    (C) 253346 (D) 4426326

    35. In a certain code RELATION is coded as BCJSOGMU

    then how is IDENTIFY coded in that language?

    (A) OBCZJGDU (B) OBCZUJGR

    (C) OBCJUDGZ (D) OBCJZGDU

    36. P, K, Q, J, R and T are sitting around a circular table.

    Two persons Q and J are sitting opposite each other. P

    sits second to the right of K. Q is not the neighbour of

    R. Who sits second to the left of J?

    (A) Q (B) P (C) K (D) R

    Directions (Q. 37-38): In questions number 37 and

    38, study the following diagram carefully and answer the

    questions based on it.

    37. The diagram shows the survey on a sample of 500

    persons with reference to the number of males, females

    and children. 90 represents the group of which of the

    following persons?

    (A) Males, Females

    (B) Females, Children(C) Children, Males

    (D) Females, Children, Males

    38. Which of the following number represents all males,

    females and children?

    (A) 150 (B) 130

    (C) 70 (D) 80

    Directions: In question nos. 39 and 40, two statements

    are given followed by two conclusions I and II. You have to

    consider both the statements to be true even if they seem

    to be at variance with commonly known facts. You have to

    decide which of the given conclusions, if any, logically

    follows from the given statements.

    39. Statements: I. Some numbers are odd. Some odds areeven.

    II. All evens are pens. All pens are letters.

    Conclusions: I. Some letters are odd.

    II. Some numbers are pens.

    (A) Only conclusion I follows

    (B) Only conclusion II follows

    (C) Both conclusions I and II follow

    (D) Neither conclusion I nor II follows

    40. Statements: All bags are caps.

    Some caps are hats.

    Conclusions: I. Some caps are bags.

    II. All caps being bags is a possibility.

    (A) Only conclusion I follows

    (B) Only conclusion II follows

    (C) Neither conclusion I nor II follows

    (D) Both conclusions I and II follow

    41. A piece of paper is folded and punched as shown

    below in the Question Figures. From the given Answer

    Figures, indicate how it will appear when opened.

    Question Figures

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    Answer Figures

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

    42. Which of the following Answer Figures will complete

    the pattern in the Question Figure?

    Question Figure

    Answer Figures

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

    43. If a mirror is a placed on the line YZ, which of the

    Answer Figures is the virtual image of the given figure?

    Question Figures

    Answer Figures

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

    44. Identify the Answer Figure from which the pieces given

    in the Question Figure have been cut.

    Question Figure

    Answer Figures

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

    45. Which of the following boxes cannot be formed by

    folding?

    (A) (B)

    (C) (D)

    46. Three persons A, B and C travel a distance of 8 km by

    an autorickshaw. The auto driver demanded `80. A

    gave him sixty rupees and B gave him 20 rupees.

    Reaching a fruit shop, A borrowed `40 from B for

    buying fruits. After reaching home, C gave 30 rupees

    to A. Then A gave 30 rupees to B and got 15 rupees

    back. On the basis of the given information find the

    amount spent by A.

    (A) `5 (B) `30(C)`10 (D) No expense at all

    47. Find the number of squares in the given figure.

    (A) 55 (B) 54

    (C) 60 (D) 48

    48. Which Answer Figure will complete the design in the

    Question Figure?Question Figure

    Answer Figures

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

    49. If a mirror is placed on the line XY, which of the AnswerFigures is the virtual image of the given Question

    Figure?

    Question Figure

    Answer Figures

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

    50. A word is represented by only one set of numbers asgiven in any one of the alternatives. The set of

    numbers given in the alternatives is represented by

    two classes of alphabets as in the two Matrices given

    below. The columns and rows of Matrix I are numbered

    from 0 to 4 and those of Matrix II are numbered from 5

    to 9. A letter from the Matrices can be represented first

    by its row and then by its column, eg A can be

    represented by 01, 40, etc and K can be represented

    by 55, 68 etc. Similarly you have to identify the set for

    TOPIC.

    Matrix I

    0 1 2 3 4

    0 P A E F G

    1 F I A G H

    2 I D H P G

    3 E F I A P

    4 A G E D F

    Matrix II

    5 6 7 8 9

    5 K L M N O

    6 N O L K M

    7 T S U C N

    8 U C K M L

    9 C U T S K

    (A) 75, 34, 66, 86, 11

    (B) 97, 59, 23, 95, 32

    (C) 97, 66, 23, 86, 20

    (D) 97, 59, 23, 32, 78

    Part B: General Awareness

    51. The Constitutional Amendment Bill can be initiated in

    (A) the Lok Sabha

    (B) the Rajya Sabha

    (C) the State Assemblies

    (D) Either of the two houses of the Parliament

    52. The Supreme Court has overturned a 2009 Delhi High

    Court judgment and recriminalised gay sex in India

    under which of the following sections of the Indian

    Penal Code?

    (A) 371 (B) 374 (C) 376 (D) 377

    53. The paintings of Ajanta depict stories of:(A) Buddha (B) Mahabharata

    (C) Chandragupta (D) Ashoka

    54. As per Article 164 of the Constitution, the number of

    ministers of the state assemblies cannot be in excess

    of _____of assembly seats.

    (A) 10 per cent (B) 12 per cent

    (C) 15 per cent (D) 18 per cent

    55. Consider the following dynasties who ruled the

    Sultanate of Delhi:

    1. Tughlaqs 2. Lodhis

    3. Slaves 4. Khiljis

    Arrange the above dynasties in chronological order

    using the codes given below:

    (A) 3, 1, 4, 2 (B) 1, 3, 2, 4

    (C) 3, 4. 1, 2 (D) 2, 1, 4, 3

    56. Temujin Khan, the Mongol leader who rose from a

    humble beginning to establish the largest land empire

    in history, was later known as

    (A) Tamerlane (B) Genghis Khan

    (C) Batu Khan (D) Kublai Khan

    57. Which of the following are the three groups of decision

    makers in the economy?

    (A) households, business firms, banks

    (B) business firms, banks, foreign traders

    (C) business firms, govts, banks

    (D) households, business firms, and govts

    58. An individual being unable to find a job because his/

    her job skills have become obsolete is termed as:(A) Hidden unemployment

    (D) Seasonal unemployment

    (C) Cyclical unemployment

    (D) Structural unemployment

    59. What does tight monetary policy of the RBI refer

    to?

    (A) Decrease the demand for money

    (B) Contract the supply of money

    (C) Expand the supply of money

    (D) Increase the demand for money

    60. In which of the following cases the aggregate demand

    curve would shift down?

    (A) Taxes being increased(B) Money supply being increased

    (C) Govt spending being increased

    (D) Interest rate being decreased

    61. Which of the following hurdles needs to be overcome

    to achieve the goal of financial inclusion?

    (A) Illiteracy (B) Lack of bank branches

    (C) Low income (D) All the above

    62. Who among the following was the first speaker of the

    Lok Sabha?

    (A) Neelam Sanjiva Reddy

    (B) Sardar Hukam Singh

    (C) MA Ayyangar

    (D) Ganesh Vasudev Mavlankar63. Which of the following is the worlds largest

    landlocked country?

    (A) Ethiopia (B) Chad

    (C) Kazakhstan (D) Mongolia

    64. Match the states and their present chief ministers and

    answer the question on the basis of codes given below:

    1. Rajasthan a. Lal Thanhawla

    2. Madhya Pradesh b. Raman Singh

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    3. Chhattisgarh c. Vasundhara Raje

    4. Mizoram d. Shivraj Singh Chouhan

    1 2 3 4

    (A) c d b a

    (B) d c b a

    (C) c b a d

    (D) a d c b

    65. Which of the following plants is used to extract bio-

    diesel?

    (A) Soybean (B) Castor

    (C) Jatropha (D) Aloe Vera

    66. Which of the following flowers is credited to have the

    worlds largest bloom?

    (A) Gustavia augusta (B)Rafflesia arnoldii

    (C) Lilium (D) Iris

    67. The term Ekistics is related to

    (A) Human settlements (B) Human evolution

    (C) Human behaviour (D) Human diseases

    68. The method of scientific dating based on the analysisof tree-ring growth patterns is called

    (A) Dendrochronology (B) Glaciospeleology

    (C) Geomorphology (D) Orology

    69. The company that launched the first mobile phone

    operation in India is

    (A) BSNL (B) Modi Telstra

    (C) BPL (D) Reliance

    70. Which of the following pairs of books and their authors

    is NOT matched correctly?

    (A) Mudrarakshasa Visakhadatta

    (B) Kadambari Banabhatta

    (C) Padmavat Malik Muhammad Jayasi

    (D) Malavikagnimitram Ashvaghosha71. Match the following Vedas and Upanishadas attached

    to them and answer the question on the basis of the

    codes given below:

    1. Rig Veda a. Mundaka

    2. Yajur Veda b. Chhandogya

    3. Sam Veda c. Katha

    4. Atharva Veda d. Aitareya

    1 2 3 4

    (A) c d b a

    (B) a c b d

    (C) d c b a

    (D) b d c a

    72. Which of the following pairs of various conceptsregarding the origin of earth and scientists/

    philosophers behind them is NOT matched correctly?

    (A) Gaseous Hypothesis Immanuel Kant

    (B) Nebular Hypothesis Laplace

    (C) Supernova Hypothesis Russell

    (D) Big Bang Theory Georges-Henri Lemaitre

    73. Island Diu is situated near the state of

    (A) Maharashtra (B) Gujarat

    (C) Goa (D) Kerala

    74. Which of the following passes is located in the state

    of Sikkim?

    (A) Zojila (B) Dungri La

    (C) Shipki La (D) Nathu La

    75. What is the geographical term used for the depression

    formed due to deflating action of winds?

    (A) Yardang (B) Cyclone

    (C) Tsunami (D) Tide

    76. Which of the following is used to check a condition in

    a programming language?

    (A) OR (B) IF

    (C) NOT (D) All the above

    77. A network based on TCP/IP protocols belonging to

    an organisation which is accessible only by the

    organisations members, employees, or others with

    authorisation is called:

    (A) Extranet (B) WAN

    (C) MAN (D) Intranet

    78. The main storage area of an e-mail account is called(A) Sent Mail (B) Inbox

    (C) Drafts (D) Trash

    79. Which of the following processes takes place inside a

    bio-gas plant?

    (A) Hydrogenation (B) Multiplication

    (C) Reduction (D) Fermentation

    80. Which of the following chemicals is used to preserve

    food items?

    (A) Sodium Benzoate

    (B) Sodium Chloride

    (C) Sodium Hydroxide

    (D) Sodium Carbonate

    81. Which of the following is being consumed by theathletes for the sake of instant energy?

    (A) Vitamin C (B) Sodium Chloride

    (C) Calcium (D) Sucrose

    82. Match the following metals with their ores and answer

    the question on the basis of codes given below:

    1. Aluminium a. Galena

    2. Lead b. Malachite

    3. Copper c. Bauxite

    4. Uranium d. Pitch Blende

    1 2 3 4

    (A) c d b a

    (B) d c b a

    (C) c a b d (D) a d c b

    83. Which of the following substances consists of only

    one element?

    (A) Sand (B) Water

    (C) Glass (D) Diamond

    84. Who among the following has been credited for the

    discovery of blood groups of human beings?

    (A) GJ Mendel

    (B) Hugo de Vries

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    (C) William Harvey

    (D) Karl Landsteiner

    85. Formation of a mirage is an optical illusion which takes

    place due to

    (A) Polarisation of light (B) Refraction of light

    (C) Total internal reflection (D) Scattering of light

    86. Why is the wire in an electric fitting earthed?

    (A) To reduce the power consumption

    (B) To prevent the current from being wasted

    (C) To facilitate the passage of current in case of short

    circuit

    (D) None of these

    87. Chemotherapy deals with which of the following

    fields?

    (A) Use of chemicals in warfare

    (B) Use of chemicals in industries

    (C) Use of chemicals in the treatment of human

    diseases

    (D) All the above88. Alternating Current (AC) changes

    (A) its magnitude and direction both

    (B) its magnitude only

    (C) its direction only

    (D) None of the above

    89. Name the country which has become the first country

    of the world to legalise marijuana.

    (A) Uruguay (B) Paraguay

    (C) Ukraine (D) Vietnam

    90. Which of the following is the first Indian company to

    be listed on NASDAQ?

    (A) Bharti Airtel (B) Satyam

    (C) Infosys (D) TCS91. One barrel of oil is approximately equivalent to

    (A) 200 litres (B) 150 litres

    (C) 120 litres (D) 160 litres

    92. As per the provisions of Indias Civil Nuclear Liability

    Act, an operator of a nuclear plant will be liable for

    damages worth up to

    (A) `1,000 cr (B) `1,500 cr(C) `2,000 cr (D) `2,500 cr

    93. Which of the following international airports of India

    has been renamed after Nadaprabhu Kempe Gowda,

    the person who founded the concerned city in 16th

    century?

    (A) Cochin International Airport(B) Mangalore International Airport

    (C) Goa International Airport

    (D) Bengaluru International Airport

    94. Which of the following teams has won womens 2013

    Kabaddi World Cup championships for the third time

    in a row?

    (A) New Zealand (B) India

    (C) Nepal (D) China

    95. Who invented microchip?

    (A) Adam Osborne

    (B) Charles Babbage

    (C) Douglas Engelbart

    (D) Jack Kilby and Robert Noyce

    96. Who among the following has bagged the Emerging

    Cricketer of the Year trophy at the 2013 ICC Annual

    awards recently?

    (A) Virat Kohli (B) R Ashwin

    (C) Cheteshwar Pujara (D) Shikhar Dhawan

    97. The International Mountain Day is observed on

    (A) 11 Dec (B) 12 Dec

    (C) 13 Dec (D) 14 Dec

    98. Who among the following has been bestowed with

    the prestigious Mother Teresa Memorial International

    Award for Social Justice 2013?

    (A) Shabana Azmi (B) Nandita Das

    (C) Sushmita Sen (D) Raveena Tandon

    99. The legislative assembly of which of the following

    states has passed the Anti-Superstition Bill?(A) Assam (B) Odisha

    (C) West Bengal (D) Maharashtra

    100. Justice (retired) DP Buch took oath as the Lokayukta

    of which of the following Indian states recently after

    the post remained vacant for as much as a decade

    (since Dec 2003)?

    (A) Madhya Pradesh (B) Maharashtra

    (C) Gujarat (D) West Bengal

    Part C: Quantitative Aptitude

    101. The radius of a circle, having centre at (2, 1), whose

    one of the chords is a diameter of the circle x2+ y2 2x 6y + 6 = 0 is

    (A) 1 (B) 2

    (C) 3 (D) 3

    102. The area of an equilateral triangle inscribed in the circle

    x2+ y2+ 2gx + 2fy + c = 0 is

    (A) )cfg(2

    33 22 (B) )cfg(

    4

    33 22

    (C) )cfg(4

    33 22 (D) )cfg(

    2

    33 22

    103. The circle x2

    + y2

    8x + 4y + 4 = 0 touches(A) x-axis

    (B) y-axis

    (C) Both axes

    (D) Neither x-axis nor y-axis

    104. The radius of the circle passing through the point

    (6, 2)and two of whose diameters are x + y = 6 andx + 2y = 4, is

    (A) 4 (B) 6 (C) 20 (D) 20

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    105. The expressionAcot3Acot

    1

    tanA3Atan

    1 is

    equal to

    (A) cot 2A (B) tan 2A

    (C) cot 3A (D) tan 3A

    106. If cosec = x +x4

    1, then the value of cosec + cot is

    (A) 2x (B) 2x

    (C)x2

    1(D)

    x3

    1

    107. The value of the expression

    2(sin6 + cos6 ) 3(sin4 + cos4 ) + 1 is

    (A) 1 (B) 1

    (C) 0 (D) 2

    108. The value of cos 2

    16

    + cos2

    16

    3+ cos2

    16

    5

    + cos216

    7is

    (A) 0 (B) 1

    (C) 2 (D) 3

    109. The value of sin 36.sin 72.sin108.sin144 is

    (A) 0 (B)16

    3(C)

    16

    1(D)

    16

    5

    110. The value of sin 47 + sin61 sin 11 sin 25 is

    (A) cos 7 (B) cos 18

    (C) sin 18 (D) cos 15

    111. If cosec + cot =2

    11, then the value of tan is

    (A)117

    17(B)

    117

    44

    (C)117

    13(D)

    117

    22

    112. The sum of twenty consecutive even numbers is 980.

    Then find the greatest number.

    (A) 66 (B) 72

    (C) 68 (D) 90

    113. What is the sum of two consecutive even numbers, if

    the difference of their squares is 92?

    (A) 52 (B) 52

    (C) 42 (D) 46

    114. If 2 =

    4

    13

    11

    1x

    , then find the value of x.

    (A)17

    21(B)

    17

    31

    (C)17

    19(D)

    17

    15

    115. Find the value of143

    7

    99

    7

    63

    7

    35

    7

    15

    7

    3

    7

    .

    (A)13

    31 (B)

    13

    33

    (C)13

    23 (D)

    13

    73

    116. When x is divided by 4, the remainder is 3. What will

    be the remainder if 2x is divided by 4?

    (A) 0 (B) 1

    (C) 2 (D) 3

    117. If the divisor is 7 times the quotient and 3 times the

    remainder, then find the dividend if the remainder is28.

    (A) 1040 (B) 996

    (C) 1008 (D) 1036

    118. If a number is divided by 223 the remainder is 79. If the

    same number is divided by 179 it gives a quotient 315.

    Find the remainder.

    (A) 113 (B) 117 (C) 129 (D) 133

    119. If x = 81 then the value of ( 1x 41

    ) ( 1x 41

    ) is

    (A) 9 (B) 8 (C) 0 (D) x0

    120. The simplified value of

    25.6

    50.1294.0

    53.253.247.347.3

    (A) 0 (B) 1 (C) 4 (D) 3

    121.7

    12

    x

    y

    y

    x and x + y = 12, then the value of xy

    will be

    (A) 85 (B) 72

    (C) 56 (D) 49

    122. If 3 men or 4 women can do a piece of work in 43 days

    then in how many days will 7 men and 5 women do the

    same piece of work?

    (A) 12 days (B) 13 days(C) 15 days (D) 16 days

    123. A man, a woman and a boy can do a piece of work in 3

    days, 4 days and 12 days respectively. How many

    boys should help a man and a woman to do the same

    piece of work in4

    1day?

    (A) 41 (B) 48 (C) 52 (D) 61

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    124. Some men can do a piece of work in 60 days. If 8 more

    men join them the work is finished 10 days before the

    stipulated time. How many men were there in the

    beginning?

    (A) 35 (B) 40 (C) 48 (D) 52

    125. By working 8 hours a day 6 men earn `8400 in a week.How much money will 9 men earn in a week by working

    6 hours a day?

    (A) `5940 (B) `9054

    (C) `9450 (D) `9540126. Two trains 160-m-long and 140-m-long respectively

    run at the rate of 77 kmph and 67 kmph respectively in

    opposite directions on parallel tracks. How long do

    they take to pass each other?

    (A) 4.5 seconds (B) 5.5 seconds

    (C) 6.5 seconds (D) 7.5 seconds

    127. A train crosses a 50-m-long-platform in 14 seconds

    and crosses an electric pole in 10 seconds. What is

    the speed of the train?(A) 45 kmph (B) 54 kmph

    (C) 36 kmph (D) 72 kmph

    128. In what proportion must some tea at `60 per kg bemixed with another tea at `65 per kg so that the new

    mixture is sold at `68.2 per kg at a profit of 10%?(A) 2 : 3 (B) 3 : 2

    (C) 4 : 3 (D) 5 : 7

    129. A, B, C and D finish a work together and they get `60,

    `70, `80 and `90 as wages respectively. If the wages

    they get are in the proportion of their efficiencies, then

    find the number of days required by A alone to finish

    the work if all the four take 5

    416 days to finish the

    work together.

    (A) 96 days (B) 94 days

    (C) 84 days (D) 74 days

    130. 20 men are employed to finish a work in 25 days.

    However, due to some problem, after every 10 days 5

    men are removed from the work. Find the number of

    days required to finish the work.

    (A) 60 (B) 50 (C) 30 (D) 40

    131. Three men A, B and C can make 12000 toys in 2 hours,

    4 hours and 3 hours respectively. If each of them works

    in turn for 30 minutes at a time, in how much time will

    they make 18500 toys?

    (A)2

    15 hours (B)

    4

    14 hours

    (C)4

    33 hours (D)

    4

    34 hours

    132. The height of a right circular cylinder is 8 cm. Four

    times the sum of the area of its two circular faces is

    twice the area of its curved surface. The radius of the

    base is

    (A) 3 cm (B) 4 cm

    (C) 5 cm (D) 1.5 cm

    133. Water flows in a tank whose base is 250m 100m

    through a pipe whose cross-section is 3dm by 2.5dm

    at the speed of 20 km per hour. In what time will the

    water level rise to 1.5 metres?

    (A) 25 hours (B) 4.5 hours

    (C) 45 hours (D) 2.5 hours

    134. A well is 23.5m deep and its diameter is 14m. Find the

    cost of plastering the inner curved surface at `4 persquare metre.

    (A) `4136 (B) `4316

    (C) `4436 (D) `4536135. In a 400 ml mixture of water and milk the quantity of

    water is 70%. How much milk must be added to the

    mixture so that the quantities of milk and water in the

    mixture become equal?

    (A) 120 ml (B) 130 ml

    (C) 150 ml (D) 160 ml136. Fresh fruits contain 70% water in them whereas dry

    fruits contain 25% water. Find the quantity of dry fruits

    that can be obtained from 100 kg fresh fruits.

    (A) 48 kg (B) 40 kg

    (C) 32 kg (D) 38 kg

    137. If the cost price of 15 articles is equal to the selling

    price of 12 articles, the profit percentage is

    (A) 25% (B) 20%

    (C) 18% (D) 15%

    138. The average of 15 numbers is 40. The average of first

    eight numbers is 30. If the average of last eight

    numbers is 50, then the eighth number is

    (A) 35 (B) 40 (C) 45 (D) 50139. An item priced at `300 is sold at 10% gain. If the selling

    price is reduced by 15%, what will be the gain or loss

    per cent?

    (A) 5.5% loss (B) 6.5% profit

    (C) 6.5% loss (D) 7% loss

    140. The ratio of three numbers is 2 : 3: 5 and their product

    is 10290. Find all the numbers.

    (A) 10, 15, 25 (B) 12, 18, 30

    (C) 16, 25, 40 (D) 14, 21, 35

    141. A shopkeeper allows a discount of 10% on the marked

    price. By what per cent above the cost price must he

    mark his goods to gain 8%?

    (A) 20% (B) 22% (C) 24% (D) 25%142. A sum of money lent at compound interest for 2 years

    at 20% per annum would fetch `482 more, if the interest

    was payable half-yearly rather than annually. The sum

    is

    (A) `20000 (B) `25000(C) `28000 (D) `37000

    143. A sells an article to B for `45000 at a loss of 10% in thetransaction. B sells it to C at a price which gives a

    profit of 10% to A. By what per cent does B gain?

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    (A)7

    100% (B)

    9

    200%

    (C)3

    100% (D)

    11

    150%

    144. A man can row against a current three-fourths of a

    kilometre in 15 minutes and returns the same distancein 10 minutes. The ratio of his speed to that of the

    current is

    (A) 1 : 5 (B) 2 : 5 (C) 5 : 1 (D) 4 : 3

    145. A wire when bent in the form of a square encloses an

    area of 121 cm2. If the same wire is bent in the form of

    a circle, the area of the circle will be

    (A) 256 cm2 (B) 415 cm2

    (C) 145 cm2 (D) 154 cm2

    Direction (Q. 146-150) : Study the following bar-graph

    carefully and answer the following questions.

    The graph shows the number of copies of three

    different novels Godan,Maila AnchalandMahabhojsold

    in various years from 2007 to 2010.

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    2007 2008 2009 2010

    Year

    Numberofcopies(inthousand)

    Godan Maila Anchal Mahabhoj

    .

    146. What is the ratio of the number of copies sold ofGodan

    to that ofMahabhoj during the period 2008 to 2010?

    (A) 36 : 37 (B) 38 : 35

    (C) 38 : 39 (D) 39 : 38

    147. What is the total number of copies ofMaila Anchal

    sold over the given period?

    (A) 260 thousand (B) 240 thousand

    (C) 270 thousand (D) 220 thousand

    148. Total sale of all the three novels in 2010 is whatpercentage less than the total sale of all the three novels

    in 2007?

    (A) 12.4 % (B) 12.1 %

    (C) 11.9 % (D) 12.5 %

    149. The number of copies ofMahaboj sold in the year

    2009 was what percentage of the number of copies of

    Godansold in that year?

    (A) 100% (B) 50%

    (C) 37.5% (D) 25%

    150. What is the average number of copies of all the three

    novels sold in the given period?

    (A) 187.5 thousand (B) 87.5 thousand

    (C) 250 thousand (D) 177.5 thousand

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

    the sentences have errors and some have none. Find out

    which part of a sentence has an error and blacken the

    rectangle [ ] corresponding to the appropriate letter (A),

    (B), (C). If there is no error, blacken the rectangle [ ]

    corresponding to (D) in the Answer Sheet.

    151. I would like to express my extreme grief at the pass

    (A)

    away of the man who stood for human r ights and for

    (B)

    equality in this world. No error

    (C) (D)152. Hundreds of flights were delayed or cancelled in

    (A)

    Shanghai as record levels of air pollution shrouded

    (B)

    city in smog. No error

    (C) (D)

    153. The love of Indians for gold and silver is legendary

    (A)

    and Indian politicians are no exception to this fondess

    (B)

    for precious metals. No error

    (C) (D)

    154. Pakistan PM directed authorities to make up special (A)

    courts to try persons arrested for the gruesome killing

    (B)

    of ten foreign climbers at the Nanga Parbat base camp.

    (C)

    No error

    (D)

    155. Nelson Mandela dedicated his entire adult life to the

    (A)

    struggle of freedom in South Africa, and in 1994

    (B)

    became president of the countrys first democratically

    (C)elected government. No error

    (D)

    Directions: In question nos. 156 to 160 sentences

    are given with blanks to be filled in with an appropriate

    word(s). Four alternatives are suggested for each question.

    Choose the correct alternative out of the four and indicate

    it by blackening the appropriate rectangle [ ] in the

    Answer-Sheet.

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    156. It is a tragic reality that________ a huge pool of

    talented, hardworking individuals, India remains in

    pathetic chaos.

    (A) although (B) despite having

    (C) in spite of being (D) being

    157. The youth in India are ________ the non-functioning

    UPA government.

    (A) parted with (B) fell out with

    (C) get rid of (D) fed up with

    158. Looking ________ the lens of poverty, there are

    various areas of discrimination against women.

    (A) through (B) with

    (C) into (D) at

    159. The huge Indian TV network, reaching out to people

    in all ________ of the country, is enormously

    influential.

    (A) part and parcel (B) back to the wall

    (C) nooks and corners (D) hook, line and sinker

    160. Gen VK Singh said he tried to improve matters whenhe was the Army Chief, but more ________ than not

    he was frustrated by the bureaucracy.

    (A) certain (B) never

    (C) often (D) over

    Directions: In question nos. 161 to 165, out of the

    four alternatives choose the one which best expresses the

    meaning of the given word and mark it in your Answer-

    Sheet.

    161. Incursion

    (A) growth (B) protection

    (C) invasion (D) indication

    162. Pigheaded

    (A) obstinate (B) pungent(C) powerful (D) blemished

    163. Deterrent

    (A) derogatory (B) devil

    (C) prudent (D) preventive

    164. Jilt

    (A) pull (B) reject

    (C) shake (D) trick

    165. Yore

    (A) rustic (B) adolescent

    (C) cry (D) old times

    Directions: In question nos. 166 to 170, choose the

    alternative opposite in meaning to the given word and mark

    it in the Answer-Sheet.166. Recondite

    (A) review (B) obscure

    (C) rebuild (D) easy to understand

    167. Flout

    (A) mock (B) abide by

    (C) vacillate (D) fluent

    168. Disburse

    (A) collect (B) expend

    (C) discard (D) deny

    169. Foment

    (A) incite (B) frustrate

    (C) cease (D) tremble

    170. Treason

    (A) treachery (B) wealth

    (C) pact (D) loyalty

    Directions: In question nos. 171 to 175, four

    alternatives are given for the idiom/phrase bold-italicised

    in the sentence. Choose the alternative which best

    expresses the meaning of the idiom/phrase and mark it in

    the Answer-Sheet.

    171. Arvind was forced to eat humble pie and publicly

    apologise to her.

    (A) behave politely (B) eat silently

    (C) admit his mistake (D) to steal something

    172. Rameshs friend wolfed down the contents of his

    fridge.

    (A) threw away(B) ate quickly and greedily

    (C) handed over something of value

    (D) chose after careful thought

    173. His elder brotherspushed him aroundwhen they were

    children.

    (A) knocked down

    (B) loved a lot

    (C) helped

    (D) behaved roughly and rudely

    174. The new owner will certainlydivest him ofhis position

    as marketing director.

    (A) take away (B) hand over

    (C) award (D) concede175. Business is poor and so the company has had to

    dispense withsome of its employees.

    (A) rely on somebody (B) retrench

    (C) employ (D) deal with successfully

    Directions: In question nos. 176-180, a part of the

    sentence is underlined. Below are given alternatives to

    the underlined part at (A), (B) and (C) which may improve

    the sentence. Choose the correct alternative. In case no

    improvement is needed your answer is (D). Mark your

    answer in the Answer-Sheet.

    176. Many successful men reach such heights of success

    that they live in their own world and think the normal

    rules of social behaviour dont apply to them, neitherdoes the laws of the land.

    (A) either does the laws of

    (B) neither do the laws of

    (C) neither do the laws for

    (D) No improvement

    177. What sets Sachin Tendulkar apart from others is the

    fact that no one has ever been able to question his

    attitude and passion towards the game.

    (A) alway been able

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    (B) often been able

    (C) never been able

    (D) No improvement

    178. Tajikistans president won re-election by landslide

    extending his 20-year-long rule to other seven years.

    (A) by forthcoming seven years

    (B) for other seven years

    (C) by another seven years

    (D) No improvement

    179. As the longest serving and illustrious cricketer of

    modern times, Sachin Tendulkar has had the pleasure

    of having more teammates than none of his

    contemporaries such as Ricky Ponting, Rahul Dravid

    and Brian Lara.

    (A) any of his contemporaries

    (B) few of his contemporaries

    (C) no other contemporaries

    (D) No improvement

    180. India should have taken the opportunity to firmly tellSri Lanka that it is time it makes a difference to the

    lives of Tamils.

    (A) could make (B) made

    (C) creates (D) No improvement

    Directions: In question nos. 181 to 185, out of the

    four alternatives, choose the one which can be substituted

    for the given words/sentence.

    181. Indefinite and very long period of time

    (A) Credo (B) Limbo

    (C) Aeon (D) Niche

    182. Someone who makes a bet

    (A) Punter (B) Snob

    (C) Exponent (D) Malefactor 183. Embarrassing social mistake

    (A) Outcry (B) Default

    (C) Remorse (D) Faux pas

    184. Confusing or meaningless words or activities

    (A) Vivacious (B) Mumbo-jumbo

    (C) Volte-face (D)Bete noire

    185. Clarity of a persons speech

    (A) Tone (B) Theme

    (C) Rhythm (D) Diction

    Directions: In question nos. 186 to 190, four words

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

    correctly spelt. Find the correctly spelt word and indicate

    it in the Answer Sheet by blackening the appropriaterectangle.

    186. (A) puerile (B) pergative

    (C) rookee (D) roomate

    187. (A) convalese (B) aquilin

    (C) effiminate (D) assassin

    188. (A) exquisite (B) bireavement

    (C) exhorbitant (D) pleging

    189. (A) decongestent (B) infinitesimal

    (C) colosal (D) playright

    190. (A) troumatize (B) vaneguard

    (C) gonorhoea (D) commissariat

    PASSAGE I (Question Nos. 191 to 195)

    According to Seymour M Hersh, Barack Obama did

    not tell the whole story when he tried to make the case that

    Bashar al-Assad was responsible for the chemical weapons

    attack near Damascus on 21 August. He omitted important

    intelligence, presented some assumptions as fact and failed

    to acknowledge that the Syrian army is not the only part in

    the countrys civil war with access to sarin. In the months

    before the attack, the American intelligence agencies

    produced a series of highly classified reports citing

    evidence that the al-Nusra Front, a jehadi group affiliated

    with al-Qaeda, had mastered the mechanics of creating sarin

    and was capable of manufacturing it in quantity. When

    the attack occurred al-Nusra should have been a suspect,

    but the administration cherry-picked intelligence to justify

    a strike against Assad, writes Hersh. One high-level

    intelligence officer wrote in an email that the attack wasnot the result of the current regime. When Obama decided

    to walk away from his red-line threat to bomb Syria, it

    appears possible that at some point he was directly

    confronted with contradictory information: evidence strong

    enough to persuade him to cancel his attack plan. Hersh

    ends by saying that the irony of the situation is that while

    the Syrian regime continues the process of eliminating its

    chemical arsenal, al-Nusra and its Islamist allies could

    end up as the only faction inside Syria with access to the

    ingredients that can create sarin.

    191. Which of the following statements is based on the

    facts mentioned in the given passage?

    (A) Barack Obama elaborated the whole story whiletrying to accuse Bashar al-Assad for chemical

    attack on Damascus.

    (B) The onus for the use of chemical weapons near

    Damascus lies on al-Qaeda.

    (C) Bashar al-Assad successfully averted the effort

    of chemical attack on Syria.

    (D) According to Barack Obama, none other than

    Bashar al-Assad is responsible for the 21 August

    chemical attack on Damascus.

    192. Which of the following is not true on the basis of the

    given passage?

    (A) Prior to the attack, the American intelligence

    agencies had produced evidence aboutinvolvement of al-Nusra front in making chemical

    weapons.

    (B) The al-Nusra front is a jehadi group affiliated with

    al-Qaeda.

    (C) The al-Qaeda had mastered the mechanics of

    creating sarin in huge quantity.

    (D) All the above

    193. Who among the following wrote in an email that the

    attack was not the result of the current regime?

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    (A) Seymour M Hersh (B) Barack Obama

    (C) Bashar al-Assad (D) None of these

    194. Which of the following can be inferred from the given

    passage?

    (A) Syria no longer wants to dismantle its chemical

    weapons.

    (B) Syria is in the process of eliminating its chemical

    weapons.

    (C) A group of Islamists including al-Nusra is engaged

    in creating sarin in Syria.

    (D) Barack Obama is adamant on attacking Syria.

    195. What is the meaning of the phrase cherry-picked as

    used in the passage?

    (A) Picking selectively

    (B) Picking up cherries

    (C) Something in ones control

    (D) Arranging the things in order

    PASSAGE II (Question Nos. 196 to 200)

    Worthless currency is not necessarily useless. It canbe a pointed way of shaming someone who asks for a

    bribe. That is the thinking behind zero-rupee notes, an

    Indian anti-corruption gimmick now attracting worldwide

    interest. They look roughly like 50-rupee notes; people are

    encouraged to hand them to corrupt officials, signalling

    resistance to sleaze.

    Vijay Anand, founder of the 5th Pillar, an anti-bribery

    campaign that launched the notes, calls them a non-violent

    weapon of non co-operation. His group has distributed

    more than 2.5m zero-rupee notes since 2007. The idea is

    catching on. Campaigners from Argentina, Nepal, Mexico

    and Benin have been in touch asking for details. Malaysia

    is mulling a similar project. And a worthless note will belaunched in Yemen next year.

    Yemen is usually reckoned to be one of the worlds

    most corrupt countries. But Mariam Adnan, an activist

    there, says a new generation may be amenable to change.

    Her group is handing out 5000 honest riyals in schools

    and universities. You have to change minds before you

    can change laws, she says.

    Such campaigns might be risky in countries where

    bribes are extorted at gunpoint. But in places where public

    opinion is already shifting, they could be a useful way of

    making bureaucrats behave better. Shaazka Beyerle, an

    expert on civil resistance campaigns, says that using zero-

    rupee note offers protection. It shows a persons affiliationwith a larger movement which cannot be brushed aside by

    one angry official.

    196. What is the central idea of the given passage?

    (A) It is essential to issue fake currency as a way of

    shaming the corrupt official who asks for a bribe.

    (B) The zero-rupee note stands as a non-violent

    weapon of non-cooperation.

    (C) The resistance campaigns can be successful

    where bribes are extorted at gunpoint.

    (D) It is worthless to think about the success of fake

    currency as a means to fight against corruption.

    197. Which of the following is true about the 5th Pillar

    campaign?

    (A) It is anti-bribery campaign.

    (B) Under the 5th Pillar campaign more than two-and-

    a-half million fake currency notes have been

    distributed so far.

    (C) Under the said campaign zero-rupee notes have

    been launched as non-violent weapons of non-

    cooperation.(D) All the above

    198. What is the intention behind launching zero-rupee

    notes?

    (A) To use them as a tool to fight against inflation

    (B) To hand them to children to make fun

    (C) To cheat innocent people and destablise Indias

    economy

    (D) To shame someone who asks for a bribe

    199. What has been the impact of the anti-bribery campaign

    launched by Vijay Anand?

    (i) The idea of the anti-bribery campaign is catching

    on and the campaigners from a few foreign

    countries are asking for details.(ii) Malaysia has outright rejected the concept of

    using fake currency as a means of fighting against

    corruption.

    (iii) Yemen is going to launch worthless notes in line

    with 5th Pillar of India.

    (A) Only (i) and (ii) (B) Only (ii) and (iii)

    (C) Only (i) and (iii) (D) All (i), (ii) and (iii)

    200. What is the nearest meaning of the word mulling as

    used in the passage?

    (A) To make wine and beer

    (B) To ponder over something

    (C) To reject an idea

    (D) To crush something into pieces

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    Answers

    1.B;

    2.D;

    Similarly,

    3.C;

    4.A; The second number is the cube of the

    sum of both the digits of the first number. ie

    2 + 5 = 73= 343

    Similarly, 3 + 2 = 53= 125

    5. A; The pattern follows as given below:

    85 = 82 (8 5)2 = 64 9 = 55

    Similarly, 95 = 92 (9 5)2= 81 16 = 65

    6.C; 74 = 72+ 42= 49 + 16 = 65

    36 = 32+ 62= 9 + 36 = 45

    7.D; Touch is milder form of Push. Similarly,

    Sip is milder form of Gulp.

    8. B; Window is made of Panes. Similarly,

    Book is made of Pages.

    9. C; Truck and Scooter both have Gears.

    Dog and Squirrel both have Tail.

    10. C; The rest have one consonant and one

    vowel.

    11.C;

    12.B; 7 3 = 21 + 5 = 26

    5 3 = 15 + 5 =

    9 3 = 27 + 5 = 32

    10 3 = 30 + 5 = 35

    13 . D; Except D, all others have the

    numerator smaller than the denominator.

    14 . B; Except B, rest are branches of

    Mathematics.

    15. D;

    16. A;

    17.B;

    18.C; 29 = 2 + 9 = 112= 121

    121 = 1 + 2 + 1 = 42= 16

    16 = 1 + 6 = 72= 49

    49 = 4 + 9 = 132= 169

    19.B; 7 4 = 28

    28 3 = 84

    84 2 = 168

    168 1 = 168

    20.A;

    21.D;

    22. C; There is no W in the keyword.23.D; There is no D or E in the keyword.

    24. A; There is no Y in the keyword.

    25.B; 8 2 + 9 6 3 =2

    33

    After interchanging and x,

    we get 8 2 + 9 6 3

    = 16 +2

    1=

    2

    33

    26.A; 3 3 12 + 8 = 20

    or, 1 12 + 8 = 20

    or, 12 + 8 = 20

    27.C; 6 + 12 6 17 3

    6 12 6 17 + 3

    = 6 2 17 + 3= 6 34 + 3

    = 34 + 9 = 25

    28.A; 19 2 7 = 31

    And, 15 2 4 = 26

    Similarly, 29 2 9 = 49

    29.B; 25 + 28 + 17 = 70

    Now, 70 10 = 7

    11 + 24+ 15 = 50; 50 10 = 5

    31 + 49 + 20 = 100, 100 10 = 10

    30.C; 12+ 22+ 52+ 72= 1 + 4 + 25 + 49

    = 79 10 = 790,

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    42+ 22+ 8 2+ 32= 16 + 4 + 64 + 9 = 93 10

    = 930

    Similarly, 02+ 62+ 42+ 52= 0 + 36 + 16 + 25

    = 77 10 = 770

    31.D;

    Total distance ZD = 20 + 25 + 30

    = 75 metres32.B;

    33.A;

    Similarly,

    34.C;R E T U N I O

    2 4 3 1 6 8 5

    So,

    35.D;

    Similarly,

    36.B;

    37 . C; 90 persons represent the number of

    only males and children.

    38. B

    39.A; All evens are pens (A) + All pens are

    letters (A) = A + A = A = All evens are letters.

    Now, Some odds a re even (I) + All evens are

    letters (A) = I + A = I = Some odds are letters

    conversion Some letter s are odds.

    Hence, conclusion I follows.

    Again, Some odds are even (I) + All evens

    are pens (A) = I + A = Some odds are pens.

    Now, Some numbers are odds (I) + Some oddsare pens (I) = I + I = No conclusion. Hence,

    conclusion II does not follow.

    40 . D; There is no negative statement.

    Hence, possibility in II exist from statement

    I. All bags are caps conversion Some

    caps are bags. Hence, conclusion I follows.

    41. B 42.A 43. C 44. B 45. C

    46. A; Expenses of A

    = 60 40 15 = `5

    47. A 48. C 49. D

    50. D; T 75, 97

    O 59, 66

    P 00, 23, 34

    I 11, 20, 32

    C 78, 86, 95

    TOPIC 97, 59, 23, 32, 78

    51. D 52. D 53. A 54. C 55. C

    56. B 57. D 58. D 59. B 60. A

    61. D 62. D 63. C 64. A 65. C

    66. B 67. A 68. A 69. B70.D; It was written by Kalidasa

    71. C 72. C 73. B 74. D 75. A

    76. B 77. D 78. B 79. D 80. A

    81. D 82. C 83. D 84. D 85. C

    86. C 87. C 88. A 89. A 90. C

    91. D 92. B 93. D 94. B 95. D

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

    101. C;

    Let C' be the centre of circle whose equationis x2+ y2 2x 6y + 6 = 0

    C' = (1, 3) (Comparing it to general equation

    of the circle)

    Now, the equat ion of the circle with centre

    at (2, 1) is

    (x 2)2+ (y 1)2 = r2

    or, x2 4x + 4 + y2 2y + 1 r2 = 0

    or, x2+ y2 4x 2y + 5 r2= 0

    Comparing the two equations, we get

    2x 6y + 6 = 4x 2y + 5 r2

    or, 2x 4y + 1 + r2= 0

    Now putting x = 1 and y = 3, we get

    r2= 9

    r = 3 cm

    102.B;

    Given circle is x2+ y2+ 2gx + 2fy + c = 0

    ... (i)

    Let C be its centre and PQR be an equilateral

    triangle inscribed in the circle. Then C

    = (g, f) and the radius of the circle, CQ

    = cfg 22

    From QLC,

    QL = CQ. sin 60 = 2

    3

    ( cfg22

    )

    QR = 2QL = cfg.3 22

    Now, ar ea of PQR =4

    3QR2

    = )cfg(34

    3 22

    = )cfg(4

    33 22

    103.B; Given equation of circle,

    x2+ y2 8x + 4y + 4 = 0

    On comparing with standard equation of circle

    x2+ y2+ 2gx + 2fy + c = 0

    We get, g = 4, f = 2 and c = 4

    Co-ordinates of the centre are (g, f)

    ie (4, 2)

    Radius of the circle = cfg 22

    = 4)2()4( 22

    = 4416

    = 4

    Here, the radius of the circle is equal to the

    co-ordinates of the centre.

    Circle touches y-axis.

    104. D; The centre is point of inersection of

    two diameters, ie the point is C (8, 2).

    r = 164 = 20

    105.A; We have,

    AcotA3cot

    1

    AtanA3tan

    1

    Acos.A3sinAsin.A3cos

    Asin.A3sin

    AsinA3cosAcosA3sin

    A3cos.Acos

    )AA3sin(

    Asin.A3sin

    )AA3sin(

    A3cos.Acos

    =A2sin

    )AA3cos(= cot2A

    106.A; Let cosec + cot = k

    cosec cot =k

    1

    On adding, we get

    2cosec

    = k +k

    1

    ( cosec = x +x4

    1)

    or, 2(x +x4

    1) = k +

    k

    1

    or, 2x + x2

    1= k + k

    1

    k = 2x

    107.C; sin6

    + cos6

    = (sin2

    )3+ (cos2

    )3

    a3+ b3= (a + b) (a2+ b2 ab)

    sin6 + cos6 = (sin2 + cos2 ) (sin4 +

    cos4

    sin2

    .cos2

    )

    = sin4 cos4 sin2 .cos2

    Now, 2(sin6 + cos6 3(sin4 + cos4 ) + 1

    = 2(sin4 + cos4 ) 2sin2 .cos2 3(sin4 +

    cos4

    ) + 1

    = sin4 cos4 sin2 .cos2 + 1

    = (sin4 + cos4 + 2sin2 .cos2 ) + 1

    = (sin2+ cos2)2+ 1= 1 + 1 = 0

    108.C; The given expression

    cos2 16

    + cos2 16

    3

    + cos2 16

    3

    2 +

    cos2 16

    2

    = cos216

    + cos216

    3+ sin2

    16

    3+ sin2

    16

    =16

    3sin

    16

    3cos

    16sin

    16cos 2222

    = 1 + 1 = 2

    109.D; Given,

    sin 36.sin 72.sin 108.sin 144

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    = (sin 36.sin 144) (sin 72.sin 108)

    = (sin 36.sin 36) (cos 18.cos 18)

    = sin2 36.cos218 =16

    520

    16

    5210

    =1616

    20100

    =16

    5

    110.A;(sin 47 + sin 61) (sin 11 + sin 25)

    = 2sin 54.cos 7 2sin 18. cos 7

    = 2cos 7 (sin 54 sin 18)

    = 2cos 7.2cos 36.sin 18

    = 2 cos 7.2 4

    15

    4

    15 = cos 7

    111.B; Given, cosec + cot =2

    11

    or,2

    11

    sin

    cos1

    or, 2

    11

    cos.sin2

    cos22

    or,2

    11cot or, tan

    11

    2

    tan = 117

    44

    121

    41

    11

    22

    tan1

    tan2

    2

    112.C; Number of terms = 20

    Common difference = 2

    tn = last term

    Sn= }d).1n(a2{

    2

    n

    = }2)120(a2{

    2

    20

    = 10 2a + 38 10 = 20a + 380

    Now, 20a + 380 = 980

    or, 20a = 600

    a = 30

    Now, last term = tn= a + (n 1) d

    = 30 + (20 1) 2 = 68

    Hence, the greatest number is 68.

    113.D; Let the number be x and x + 2.

    Then, (x + 2)2 x2= 92

    or, (x + 2 + x) (x + 2 x) = 92

    or, (2x + 2) 2 = 92

    or, x + 1 = 23

    or, x = 22

    Sum of the numbers = x + x + 2 = 22 + 22

    + 2 = 46

    114.A; 2 =

    4

    13

    11

    1x

    4

    13

    11

    1x

    or, 2 =

    13

    17

    1x

    13

    41

    1x

    or, 2 =17

    13x

    or, x = 2 17

    13=

    17

    21

    115.B; 7 143

    1

    99

    1

    63

    1

    35

    1

    15

    1

    3

    1

    =143

    2

    99

    2

    63

    2

    35

    2

    15

    2

    3

    2

    2

    7

    =2

    7 {1

    3

    1 +

    5

    1

    3

    1 +

    7

    1

    5

    1 +

    9

    1

    7

    1+

    11

    1

    9

    1+

    13

    1

    11

    1}

    =2

    7 {1

    3

    1+

    3

    1

    5

    1+

    5

    1

    7

    1+

    7

    1

    9

    1+

    9

    1

    11

    1+

    11

    1

    13

    1}

    =2

    7{1

    13

    1} =

    2

    9

    13

    12=

    13

    42=

    13

    33

    116. C; Let x = 4P + 3, where P is the

    quotient.

    Now, 2x = 8P + 6 = 4(2P + 1) + 2

    Hence, 2x is divided by 4, the remainder will

    be 2 .

    117. D; Divisor = 7 Quotient

    = 3 Remainder = 3 28

    Quotient = 127

    283

    Q = 12, R = 28 and divisor = 84

    Dividend = (Divisor Quotient) + R

    = (84 12) + 28 = 1008 + 28 = 1036

    118.A; Let the number be N.

    Then, N = 223k + 79

    Again, 179 315 = 56385

    If 56385 is divided by 223, we get 252 as

    quotient and 189 as remainder

    Reqd remainder = 79 + (223 189) = 79 +

    34 = 113

    119.B;)1x)(1x( 4

    1

    4

    1

    =)181)(181( 4

    1

    4

    1

    (Put x = 81)

    = (3 1) (3 + 1)

    = 2 4 = 8

    120.C;25.6

    5.12

    94.0

    53.253.247.347.3

    = 294.0

    )53.247.3)(53.247.3(

    = 294.0

    94.000.6 = 6 2 = 4

    121.D;7

    12

    x

    y

    y

    x

    Squaring both sides, we get

    or,

    22

    7

    12

    x

    y

    y

    x

    or, 49

    144

    x

    y.

    y

    x.2

    x

    y

    y

    x

    or,49

    1442

    xy

    yx 22

    or,49

    144

    xy

    xy2yx 22

    or,49

    144

    xy

    )yx(2

    or,49

    144

    xy

    )12(2

    ( x + y = 12)

    or, xy = 49

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    122.A; 4 women = 3 men

    1 woman =4

    3men

    So, 5 women =4

    15 men

    Total men = men

    4

    437

    4

    15

    3 men do the work in 43 days

    4

    43men do the work in

    43

    4343 = 12 days

    123.A; 1 man does the work in4

    1 day

    12

    1

    4

    1

    3

    1 part

    1 woman does the work in4

    1 day

    16

    1

    4

    1

    4

    1

    part

    Total work done by one man and one woman

    =16

    1

    12

    1 =

    46

    34 =

    48

    7

    Remaining work = 1 48

    7=

    48

    41part

    The number of boys = 4848

    41 = 41 boys

    124. B; Let the number of men be x.

    x men do the work in 60 days.

    1 man does the work in 60 x days.

    (x + 8) men do the work in 50 days.

    1 man does the work in 50(x + 8) days.

    Now, 60x = 50(x + 8)

    or, 60x 50x = 400

    or, x = 40

    125.C; 6 men by working 8 hrs per day

    earn `8400

    1 man can earn in a week by working 8 hrs

    a day= 86

    8400

    9 men can by working 6 hrs a day earn in

    a week =8

    6

    6

    98400 = `9450

    126.D;

    Time =18567

    18577

    140160

    =144

    18

    5

    300

    = 5.740

    300 seconds

    127. A; Let the length of the train be x

    metres.

    And the length of the platform be 50m.

    Now,10

    x=

    14

    50x

    or, 14x = 10x + 500

    or, 4x = 500

    x =4

    500= 125m

    Now, the speed of the train

    =

    10

    125= 12.5 m/s

    12.5 5

    18= 45 kmph

    128. B; Selling price = `68.2

    Profit = 10%

    Cost price =110

    1002.68 = `62

    By alligation method,

    Reqd ratio = 3 : 2

    129. C; A B C D

    Wages 6 0 7 0 8 0 9 0

    Efficiency 6 7 8 9

    Let 1 days work of A, B, C and D = (6 + 7 +

    8 + 9) = 30 units

    Now, total work = 30 5

    84= 504 units

    A will do it in6

    504= 84 days

    130. D;

    20 mens 25 days work = 25 20

    = 500 units

    20 mens 10 days work = 20 10

    = 200 units

    Remaining work = (500 200) = 300 units

    According to the question.

    After every 10 days 5 men are removed from

    the work.

    Then, 15 mens work in 10 days = 15 10

    = 150 units

    So, remaining work = 300 150 = 150 units

    Again, 10 men work in 10 days 10 10

    = 100 units

    Remaining work = 150 100 = 50 units

    Hence finally 50 units work done by 5 men.

    5 mens work in 10 days = 5 10 = 50 units

    Hence, the total number of days

    = 10 + 10 + 10 + 10 = 40 days

    Alternative Method:

    Me n Days Units of workTotal work by

    20 men

    throughout

    20 25 25 20 = 500 units

    Total work as

    per given

    conditions

    20 10 20 10 = 200 units

    15 10 15 10 = 150 units

    10 10 10 10 = 100 units

    5 10 5 10 = 50 units

    Total number of days = 10 + 10 + 10 + 10

    = 40 days

    131.B; A makes 12000 toys in 2 hours

    A makes toys in 30 minutes =2

    1

    4

    12000

    = 3000 toys

    Again, B makes 12000 toys in 4 hours

    B makes toys in 30 minutes =21

    412000

    = 1500 toys

    C makes 12000 toys in 3 hours

    C makes toys in 30 minutes =2

    1

    3

    12000

    = 2000 toys

    Now, if they al l work alternately then in 1

    hour 30 minutes they make 3000 + 1500 +

    2000 = 6500 toys

    In 3 hours they make 6500 2 = 13000 toys

    Remaining toys = 18500 13000 = 5500

    Remaining toys made by A in 30 hours

    = 3000

    Now, the remaining toys = 5500 3000

    = 2500

    Again, the remaining toys are made by B.

    B makes 1500 toys in 30 minutes.

    Remaining toys = 2500 1500 = 1000 toys

    Remaining toys are made by C.

    C makes 2000 toys in 30 minutes

    C makes 1000 toys in 10002000

    30

    = 15 minutes

    Reqd total time = 3 hours + 30 minutes + 30

    minutes + 15 minutes = 4 hours 15 minutes

    132.B; According to the question,

    4 2 r2= 2 2 r 8

    r = 4 cm

    133. D; Suppose in x hours water will be 1.5metres deep in the tank.

    Volume of water in the tank = (250 100

    1.5) = 37500m3

    Area of the cross-section of the pipe

    =2m

    10

    5.2

    10

    3 =

    10

    5.7=

    4

    3m2=

    5

    3m2

    Volume of water that flows in the tank in x

    hours

    = (Area of cross-section of the pipe) (speed

    of water) time

    =3mx20000

    4

    3 = 1500x m3

    ( Speed = 20 kmph = 20000 m/hr)

    The volume of water in the tank is equal to

    the volume of water that flows in the tank in

    x hours.

    15000x = 37500

    or, x =15000

    37500= 2.5 hours

    134. A; Total cost of plastering the inner

    curved surface area

    = 2 7

    22

    2

    14 23.5 4 = `4136

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    135. D; The quantity of milk in the mixture

    is100

    30400 = 120 ml

    And quantity of water in the mixture

    =100

    70400 = 280 ml

    Let x ml milk be added in the mixture.Then, x + 120 = 280

    x = 280 120 = 160 ml

    136.B; In dry fruits 75% pulp = 30 kg

    Quantity of dry fruits = 10075

    30 = 40 kg

    137.A; Profit % = 10012

    1215

    = 10012

    3 = 25%

    138.B; The sum of total numbers = 15 40

    = 600

    The sum of first eight numbers = 8 30

    = 240

    The sum of last eight numbers = 8 50

    = 400

    Eighth number = 400 + 240 600 = 40

    139.C; Selling price =100

    110300 = `330

    Now, after reducing 15%,

    Selling price =100

    85330 = `280.5

    Cost price = 300

    Loss = 300 280.5 = `19.5

    % loss = 100300

    5.19 = 6.5%

    140. D; Let the numbers be 2x, 3x and 5x

    respectively.Now, 2x 3x 5x = 10290

    or, 30x3 = 10290

    or, x3 = 343

    x = 7

    Number = 7 2 = 14, 7 3 = 21, 7 5

    = 35

    141.A; Let the price be `100.

    Then, selling price = `108

    Marked price = 10090

    108 = `120

    Reqd % = 100100

    100120 = 20%

    142.A; `20000

    143. B;

    Cost price of A =90

    10045000= `50000

    According to the question,

    Selling price of B =100

    10050000

    = `55000

    Cost price of C = `55000

    And cost price of B = `45000

    Now, percentage profit of B

    =45000

    4500055000 100 =

    45000

    10000 100

    = %9

    200

    144.C; The man travels with the current at

    4

    3

    10

    60= 4.5 km per hour

    And it travels against the current at

    4

    3

    15

    60= 3 km per hour

    Speed of man in still water

    =2

    1(4.5 + 3) = 3.75

    And the speed of the current =2

    1 (4.5 3)

    =2

    5.1= 0.75

    Ratio =1

    5

    75.0

    75.3 = 5 : 1

    145.C; Area of the square = 121 sq cm

    Side of the square = 121 = 11 cm

    So, perimeter of the square = 4 side

    = 4 11 = 44 cm

    Let r be the radius of the circle. Then the

    circumference of the circle = perimeter of

    the square

    or, 2 r = 44

    r = 7 cm

    Area of the circle = r2 = 777

    22

    = 154 cm2

    146. C; The number of copies of of Godan

    sold during 2008 to 2010 = (55 + 80 + 60)

    thousand

    = 195000

    The number of copies Maila An chal sold

    during 2008 to 2010

    = (45 + 60 + 85) 1000

    = 190000

    Required ratio = 195000 : 190000

    = 195 : 190 = 39 : 38

    147. C; The total number of copies of Maila

    Anc ha l sold = 80 + 45 + 60 + 85 = 270

    thousand

    148. C; The total number of all three novels

    sold in 2010

    = (60 + 85 + 40) 1000

    = 185000

    The total number of all three novels sold in

    2007 = (70 + 80 + 60) 1000 = 210000

    Reqd % =1000210

    1001000185210

    = 11.7%

    149. B; The number of copies of Mahabhoj

    sold in the year 2009 = 40 thousand

    The number of copies of Godan sold in the

    year 2009 = 80 thousand

    Reqd % = 10080

    40 = 50%

    150. A; Average =4

    185180175210

    =4

    750= 187.5 thousand

    151. B; Replace pass with passing

    152. C; Add the before city

    153. D154. A; Replace make with set

    155.B; Replace of with for

    156. B 157. D 158.A 159. C 160. C

    161. C 162.A 163. D 164. B 165. D

    166. D 167. B 168.A 169. C 170. D

    171. C 172. B 173. D 174.A 175. B

    176. B 177. D 178.C 179.A 180. B

    181. C 182.A 183. D 184. B 185. D

    186.A 187. D 188.A 189. B 190. D

    191. D 192. C 193. D 194. B 195.A

    196. B 197. D 198. D 199. C 200. B