06.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 6, select the related

    words/letters/number from the given alternatives.

    1. GF : CO : : QP : ?

    (A) SR (B) NY (C) MZ (D) RT

    2. LNP : PLL : : IKM : ?

    (A) NLJ (B) LMO (C) MII (D) MJI

    3. Z _ D : E _ I : : K _ O : P _ T

    (A) BGMR (B) AHLR

    (C) BANQ (D) RMGB4. 52 : 49 : : 72 : ?

    (A) 45 (B) 79 (C) 54 (D) 81

    5. Cistern : Water : : ?

    (A) Gate : Home (B) Cup : Tea

    (C) House : Family (D) Novel : Book

    6. Dove : Peace : ?

    (A) Knife : Cut (B) Lull : Storm

    (C) Crow : Scavenge (D) Pearl : Purity

    7. Which of the given responses would be a meaningful

    order of the following?

    1. Boarding 2. Destination 3. Travel

    4. Planning 5. Booking

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

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

    8. Arrange the following words as per order in the

    dictionary.

    1. General 2. Gentle 3. Geniality

    4. Genuine 5. Genesis

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

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

    9. Which set of letters when sequentially placed in the

    gaps in the given letter series, shall complete it?

    _ bcdbc _ dcabd _ bcdbc _ dc _ bd

    (A) dddda (B) aaaaa

    (C) aabdd (D) bbadd 10. Rahuls present age is two-fifths the age of his father.

    After 10 years he will be half the age of his father. How

    old is his father at present?

    (A) 60 years (B) 40 years

    (C) 30 years (D) 50 years

    11. In the following question, choose that set of numbers

    from the four alternative sets that is similar to the given

    set.

    Given set: (4, 13, 6)

    (A) (12, 18, 10) (B) (9, 15, 7)

    (C) (2, 5, 8) (D) (11, 14, 2)

    Directions: In question nos. 12 to 17, in each of the

    following questions a series is given with one term

    missing. Choose the correct alternative from the given

    ones that will complete the series.

    12. Q 8, S 10, V 4, Z 8, ?

    (A) E 5 (B) Y 7 (C) D 4 (D) A 1

    13. EFC, GHE, IJG, ?

    (A) KNM (B) KLI (C) LHK (D) KMP

    14. 6 4 : 6 7 : : 12 4 : ?

    (A) 12 2 (B) 12 5 (C) 12 7 (D) 12 9

    15. ef, fgh, gh, hij, ij, ?(A) ijk (B) lmn (C) klm (D) jkl

    16. 3 16 66 201 ?

    (A) 406 (B) 264 (C) 402 (D) 411

    17. B E I N T ?

    (A) Z (B) W (C) A (D) C

    Directions: In question nos. 18 to 22, find the odd

    word/numbers/letters from the given alternatives.

    18. (A) Baht (B) Cortes

    (C) Dirham (D) Leone

    19. (A) (2, 6, 3) (B) (4, 2, 1)

    (C) (3, 9, 1) (D) (3, 9, 2)

    20. (A) D (B) I (C) L (D) P

    21. (A)4

    16(B)

    6

    18(C)

    5

    25(D)

    6

    42

    22. (A) MPK (B) UIO (C) STW (D) BDF

    Directions: In question nos. 23 to 26, select the

    missing number from the given responses.

    23.

    (A) 3, 8 (B) 2, 9 (C) 5, 4 (D) 2, 6

    24.

    (A) 98 (B) 207 (C) 112 (D) 220

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

    42. From the Answer Figures, find out the figure which is

    the exact mirror image of the Question Figure, whenthe mirror is placed on the line AB?

    Question Figure

    Answer Figures

    (A) (B) (C) (D)43. From the given Answer Figures select the one in which

    the Question Figure is hidden/embedded.

    Question Figure

    Answer Figures

    (A) (B) (C) (D)44. Which Answer Figure will complete the pattern in the

    Question Figure?

    Question Figure

    Answer Figures

    (A) (B) (C) (D)45. In the figure given below, what does D represent?

    (A) Actors who are not singers.

    (B) Actors who are singers but not dancers

    (C) Actors who are both singer and dancer

    (D) Singers who are not actor

    46. Find the water image of the given Question Figure.

    Question Figure

    Answer Figure

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

    47. Which of the following boxes can be formed by folding

    the Question Figure?

    Question Figure

    Answer Figures

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

    (A) Only (A) (B) Only (B) and (C)

    (C) Only (A), (B) and (C) (D) All (A), (B), (C) and (D)

    48. Select three out of the following five alternative figures

    which together form a complete square.

    1. 2.

    3. 4.

    5.

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

    49. Identify the Answer Figure from which the pieces givenin Question Figure have been cut.

    Question Figure

    Answer Figures

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

    50. How many triangles are there in the figure given

    below?

    (A) 20 (B) 19 (C) 21 (D) 25

    Part B: General Awareness

    51. Labour, land, entrepreneurship and capital are all

    examples of which of the following?

    (A) Input (B) Output

    (C) Public goods (D) Factors of production52. The Panchayati Raj system adopted in India is a

    (A) single-tier system of administration

    (B) two-tier system of administration

    (C) three-tier system of administration

    (D) four-tier system of administration

    53. In terms of economy, the total demand of goods and

    services is called

    (A) National demand (B) Aggregate demand

    (C) GNP (D) NNP

    54. The Vice President of India is elected by an electoral

    college consisting of members of

    (A) Lok Sabha and Rajya Sabha

    (B) State Legislative Assemblies

    (C) State Legislative Councils

    (D) All the above

    55. The Winter Paralympics held in Sochi witnessed the

    largest number of athletes and countries taking part in

    the event. The Winter Paralympics were first held in

    (A) 1964 (B) 1968

    (C) 1972 (D) 1976

    56. Which the following is an extinct bird species?

    (A) Dodo (B) Condor

    (C) Skua (D) Vulture

    57. In humans, which of the following is a major

    constituent of most urinary stones?(A) Calcium Carbonate (B) Calcium Oxalate

    (C) Sodium Bicarbonate (D) Magnesium sulphate

    58. The study of which of the following is a part of

    Macroeconomics?

    (A) Inflation (B) Consumer behaviour

    (C) Firms behaviour (D) All the above

    59. Who among the following is/are the member(s) of he

    political and economic alliance of six Middle Eastern

    countries, Gulf Cooperation Council (GCC)?

    (A) Saudi Arabia (B) Kuwait

    (C) United Arab Emirates (D) All the above

    60. The US space agency NASA is planning to send a

    robotic mission by 2025 to Europa, which is one of the

    best bets for alien life beyond Earth in our solar system.

    It is a moon of

    (A) Mercury (B) Venus

    (C) Mars (D) Jupiter

    61. Identify the disease, a rare bleeding disorder, in which

    blood doesnt clot normally and the disease is

    genetically transmitted.

    (A) Thalassemia (B) Leukemia

    (C) Hemophilia (D) Lymphoma

    62. In order to prepare high-temperature-resistant steel,

    which of the following is mixed with iron?

    (A) Nickel (B) Chromium

    (C) Tin (D) Niobium

    63. The Prime Minister of India is NOT the exofficio

    president of

    (A) CSIR (B) NDC(C) Planning Commission (D) ISRO

    64. The Govt removed restrictions on onion exports by

    doing away with the MEP recently. MEP stands for

    (A) Minimum Export Price

    (B) Minimum Exchange Price

    (C) Maximum Export Price

    (D) Maximum Exchange Price

    65. Match the following and answer the question on the

    basis of the codes given below:

    Rays/radiation Nature

    1. Alpha a. High kinetic energy

    electrons

    2. Beta b. A form of electromagneticradiation

    3. Gamma c. A helium nucleus with 2

    protons and 2 neutrons

    4. X-rays d. Very high frequency

    electromagnetic radiation

    Codes:

    1 2 3 4

    (A) c a d b

    (B) d c b a

    (C) b d c a

    (D) a d c b

    66. As announced by the Election Commission, in how

    many phases will the Lok Sabha elections be heldbetween 7 Apr and 12 May? These elections will

    witness the highest number of phases so far.

    (A) Five (B) Seven

    (C) Nine (D) Eleven

    67. Which two planets are situated between Venus and

    Jupiter in the solar system when planets are arranged

    in order of their distance from the sun?

    (A) Earth and Saturn (B) Mars and Saturn

    (C) Earth and Mars (D) Mercury and Saturn

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    68. Which of the following statements is/are correct?

    (A)Rockets draw oxygen from an on-board tank for

    their need.

    (B) Jet engines use oxygen present in the atmosphere

    to combust fuel.

    (C) Both the above

    (D) None of the above

    69. Which of the following is NOT matched correctly with

    respect to different missions sent to moon by different

    countries?

    (A) SELENE I Japan (B) Chandrayaan I India

    (C) LADEE Russia (D) Change 3 China

    70. Which of the following is NOT a major constituent of

    milk?

    (A) Iron (B) Carbohydrate

    (C) Potassium (D) Protein

    71. Which of the following statements is NOT correct with

    respect to heavy water?

    (A) Joseph Priestley discovered heavy water.(B) Heavy water is obtained by combining heavy

    isotopes of hydrogen with oxygen.

    (C) The chemical formula of heavy water in D2O.

    (D) Heavy water is used as a moderator in nuclear

    reactors.

    72. The main factor responsible for the change in physical

    and chemical characteristics of water in water bodies

    is

    (A) Ultraviolet rays (B) Effluents

    (C) Aquatic organism (D) Rain

    73. Who among the following is known for his discoveries

    of disease genes and his leadership of the Human

    Genome Project?(A) Edward Jenner (B) Francis Sellers Collins

    (C) Gregor Johann Mendel (D) Robert Koch

    74. A computer document containing some basic

    information that can be used as a model for writing

    other documents, such as business letters, envelopes

    etc, is called

    (A) Hyperlink (B) Workbook

    (C) Template (D) Backup

    75. Match the following states with their important crops

    and answer the question on the basis of the codes

    given below:

    1. Gujarat a. Cotton

    2. West Bengal b. Paddy3. Karnataka c. Jute

    4. Maharashtra d. Groundnut

    Codes:

    1 2 3 4

    (A) d a b c

    (B) d c b a

    (C) b d c a

    (D) a d c b

    76. Which of the following diseases is not caused by

    bacteria?

    (A) Gonorrhea (B) Cholera

    (C) Dengue Fever (D) Plague

    77. We often come across the news of deaths due to

    consumption of local liquor. The harmful substance

    responsible for such deaths is

    (A) Ethyl alcohol (B) Methyl alcohol

    (C) Benzyl alcohol (D) Propyl alcohol

    78. Endoscope is an instrument used to examine the

    interior of a hollow organ or cavity of the body and is

    based on the principle of

    (A) Polarisation

    (B) Total Internal Reflection

    (C) Scattering

    (D) Refraction

    79. Which of the following statements is correct? The

    Prime Minister of India

    (A) takes opinion of the President while appointinghis ministers.

    (B) appoints only the members of the upper house of

    the Parliament as his ministers.

    (C) appoints only the members of the lower house of

    the Parliament as his ministers.

    (D) is free to appoint members of both the houses of

    the Parliament as his ministers.

    80. MS Word allows users to reverse actions up to

    (A) only last action

    (B) last ten actions

    (C) the number specified in setting

    (D) As many actions as a computer can handle

    81. Which of the following is NOT a princely state annexedunder the Doctrine of Lapse?

    (A) Satara (B) Mysore

    (C) Nagpur (D) Sambalpur

    82. Identify the book/magazine not published by Raja

    Rammohan Roy.

    (A) Mirat-ul-Akhbar

    (B) Sambad Kaumudi

    (C) Som Prakash

    (D) Tuhfat-ul Muwahhidin

    83. As announced by the Election Commission recently,

    the first two states to be issued with plastic photo

    identity card for elections in India are

    (A) Assam and Nagaland(B) Arunachal Pradesh and Mizoram

    (C) West Bengal and Sikkim

    (D) Tripura and Nagaland

    84. Which of the following is used as a measurement of

    the income distribution of a countrys residents?

    (A) Human Development Index

    (B) Gini coefficient

    (C) Consumer Price Index

    (D) All the above

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    85. Match the following persons with their work and

    answer the question on the basis of the codes provided

    below:

    1. Mahatma Gandhi a. The Indian Struggle

    2. Subhas Chandra Bose b. Hind Swaraj

    3. Jawaharlal Nehru c. My Life in My Words

    4. Rabindranath Tagore d. Toward Freedom

    Codes:

    1 2 3 4

    (A) c a b d

    (B) d c b a

    (C) b a d c

    (D) a b c d

    86. Which of the following is NOT matched correctly?

    (A) Adrenaline Attracting mates through smell

    (B) Estrogen Sexual and reproductive development

    in women

    (C) Insulin Produced by pancreas

    (D) Gastrin Regulates secretion of gastric acid87. The evidence of ploughed field was found from the

    excavation of which of the following ancient sites?

    (A) Kalibangan (B) Banawali

    (C) Dholavira (D) Lothal

    88. Loading the first piece of software that starts a

    computer is termed as

    (A) Scan (B) Booting

    (C) Logging in (D) Run

    89. The Corporate Social Responsibility (CSR) rules will

    take effect from 1 Apr as part of the new Companies

    Act. They will apply to the companies with

    (A) at least `5 cr net profit

    (B) `1,000 cr turnover(C) `500 cr net worth

    (D) Any of the above

    90. The govt has raised workdays for tribals under

    MNREGA scheme from 100 to 150 recently. Which of

    the following is/are correct in this regard?

    (A) The Union Cabinet decision will come into effect

    from Apr 2015.

    (B) Those tribals who have received land rights under

    the Forest Rights Act, 2006 will be eligible for

    additional 50 days.

    (C) The beneficiaries would be those who have

    completed 100 workdays in that particular financial

    year(D) Only (B) and (C)

    91. Which of the following banks has the highest number

    of branches outside India?

    (A) HDFC Bank (B) ICICI Bank

    (C) Bank of Baroda (D) Indian Overseas Bank

    92. Who among the following is the Central Vigilance

    Commissioner at present?

    (A) Pradeep Kumar (B) R Sri Kumar

    (C) SK Sarkar (D) JM Garg

    93. Abdul Hamid Lahori was a traveller and historian who

    later became a court historian of

    (A) Akbar (B) Jahangir

    (C) Shah Jahan (D) Babur

    94. Which of the following states does not share its

    boundary with China?

    (A) Himachal Pradesh (B) Uttarakhand

    (C) West Bengal (D) Arunachal Pradesh

    95. The equator passes through which of the following

    countries?

    (A) Gabon (B) Maldives

    (C) Ecuador (D) All the above

    96. India has pledged to provide what amount to Bhutan

    for its 11th Five Year Plan, helping the country

    implement major projects that will improve the

    livelihood of its people?

    (A) `6.5 bn (B) `7.5 bn

    (C) `8.5 bn (D) `9.5 bn97. The Govt has announced to transfer the special

    drawing rights (SDRs) of the International Monetary

    Fund (IMF) to Reserve Bank of India (RBI) and in

    return will receive `15,000 cr in three years. What is

    the size of total SDR allocation to India?

    (A) 2.28 bn (B) 3.29 bn

    (C) 3.47 bn (D) 3.86 bn

    98. Who among the following has been given the title of

    the worlds richest person in the Forbes 2014 billionaire

    list released recently?

    (A) Carlos Slim Helu (B) Warren Edward Buffett

    (C) Amancio Ortega (D) Bill Gates

    99. Which of the following teams won the Vijay HazareTrophy recently?

    (A) Railways (B) Karnataka

    (C) Maharashtra (D) Uttar Pradesh

    100. The committee constituted by the govt to assess the

    implementation of the Sachar Committee

    recommendations and the Prime Ministers 15-point

    programme for minorities submitted its report recently.

    The Committee was chaired by

    (A) Amitabh Kundu (B) VR Krishna Iyer

    (C) Binayak Sen (D) Sandeep Pandey

    Part C: Quantitative Aptitude

    101. A bag contains 1-rupee, 50-paise and 25-paise coins

    in the ratio of 3 : 4 : 4. If the total amount is `90, the

    number of 1-rupee coins is

    (A) 30 (B) 15 (C) 45 (D) 60

    102. A jar contains 40 white and 120 black marbles. How

    many white marbles must be added to the jar so that

    50% of the marbles become white?

    (A) 80 (B) 60 (C) 50 (D) 40

    103. If a * b = ab, then the value of 8 * 4 is

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    (A) 256 (B) 2048 (C) 8192 (D) 4096

    104. The simplified form of

    7

    12017 +

    7

    22017 +

    7

    32017 +

    7

    42017 +

    7

    52017 +

    762017 is

    (A) 36306 (B) 12105 (C) 12999 (D) 12501

    105.30

    1+

    42

    1+

    56

    1+

    72

    1+

    90

    1+

    110

    1+

    132

    1+

    156

    1is

    equal to

    (A)8

    1(B)

    20

    3(C)

    65

    7(D)

    65

    8

    106. The greatest value among the fractions8

    7,

    4

    3,

    12

    11

    and11

    10is

    (A)8

    7(B)

    4

    3(C)

    12

    11(D)

    11

    10

    107. A cube of edge 8 cm is immersed in a rectangular vessel

    containing water. If the dimensions of the base are 12

    cm and 8 cm find the rise in water level in the vessel.

    (A) 5.33 cm (B) 3.55 cm

    (C) 4.05 cm (D) 2.25 cm

    108.A man buys`60 shares in a company which pays 10%dividend. If the man get 12.50% on his investment, at

    what price did he buy the shares?

    (A) `40 (B) `48 (C) `35 (D) `30

    109. By walking at8

    7of his usual speed, Ramesh is 7

    minutes late to his office. Find his usual time to cover

    the distance.

    (A) 45 minutes (B) 48 minutes

    (C) 49 minutes (D) 56 minutes

    110. The units digit in the sum of (1129)123+ (1444)311+

    (729)11is

    (A) 2 (B) 0 (C) 1 (D) 3

    111. A businessman sells two articles at `800 each. On one

    he earns a profit of 25% and on the other he incurs a

    loss of 25%. What will be his percentage gain or loss?

    (A) 6.25% profit (B) 6.25% loss

    (C) 4.75% profit (D) 4.25% loss

    112. When the price of the orange is reduced by 20% it

    enables a man to purchase 40 more oranges for `80.

    The reduced price of an orange is

    (A) 60 paise (B) 80 paise

    (C) 20 paise (D) 40 paise

    113. The angle of elevation of the top of a tower from a

    certain point is 30. If the observer moves 30m towards

    the tower, the angle of elevation of the top of the

    tower increases by 15. The height of the tower is

    (A) 30.95m (B) 49.05m

    (C) 45.95m (D) 40.95m

    114. The marked price of a radio is `990. The shopkeeper

    allows a discount of 10% and gains 10%. If no discount

    is allowed, his gain percentage would be

    (A) %9

    222 (B) 25%

    (C) 20% (D) %9

    223

    115. The rate of simple interest at which a sum of money

    becomes four times in 20 years is

    (A) 25% (B) 15% (C) 20% (D) 30%

    116. A sum of money lent on compound interest at the rate

    of 10% per annum is paid back in three equal annual

    instalments of `33,275. Find the sum of money.

    (A) `60250 (B) `60000

    (C) `66275 (D) `67975

    117. A and B can do a piece of work in 12 days, B and C can

    do it in 18 days, C and A can do it in 20 days. The time

    taken by A, B and C together to do the same piece of

    work will be

    (A)17

    1012 days (B)

    17

    110 days

    (C)17

    1010 days (D)

    17

    1013 days

    118. 40 men can finish a work in 80 days, working 10 hours

    per day. How many men can finish the same work in 20days, working 8 hours per day?

    (A) 400 men (B) 200 men

    (C) 600 men (D) 100 men

    119. Two pipes A and B can fill a tank in 12 hours and 15

    hours respectively and C can empty it in 10 hours. If

    all three pipes are opened at 5 : 30 am, at what time will

    half of the tank be filled?

    (A) 3 : 30 pm (B) 3 : 20 am

    (C) 3 : 00 pm (D) 5 : 30 pm

    120. The radius of a wheel is 84 cm. It completes 600

    rotations in 10 minutes. What is its speed (in kmph)?

    (A) 28 (B) 24.008 (C) 19.008 (D) 16

    121. The speed of stream is 6 kmph. A motor boat goes 12

    km upstream and comes back to the starting point in

    90 minutes. The speed of the motorboat (in kmph) in

    still water is

    (A) 22 (B) 16 (C) 18 (D) 12

    122. Water is flowing at the rate of 10 kmph through a pipe

    of diameter 28 cm into a rectangular tank which is

    100m long and 88m wide. The time taken (in hours) for

    14 cm rise in water level in the tank will be

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    (A) 8 hours (B) 6 hours

    (C) 4 hours (D) 2 hours

    123. The mean of 15 numbers is 40. Later on, it was

    observed that 25 and 15 were wrongly taken as 52 and

    51. The correct mean is

    (A) 33.8 (B) 35.8 (C) 38.5 (D) 36.0

    124. The product of two numbers is 4056 and their HCF is

    26. The number of such pairs is

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

    125. The ratio of two numbers is 9 : 10. Their HCF is 19.

    Their LCM is

    (A) 1710 (B) 1900

    (C) 3249 (D) 32490

    126. Find the value of

    6

    1+

    12

    1+

    20

    1+

    30

    1+

    42

    1+

    56

    1+

    72

    1+

    90

    1

    (A) 2

    1

    (B) 1 (C) 3

    2

    (D) 5

    2

    127. The complement of 40 25 is

    (A) 59 25 (B) 49 35

    (C) 40 35 (D) 139 25

    128. PBA and PDC are two secants. AD is the diameter of

    the circle with centre O. A = 35, P = 25. Find the

    measure of DBC.

    (A) 45 (B) 40 (C) 60 (D) 30

    129. When m is divided by 8, the remainder is 3. What isthe remainder when m2is divided by 8?

    (A) 5 (B) 9 (C) 3 (D) 1

    130. A chord of length 48 cm is at a distance of 18 cm from

    the centre of a circle. The radius of the circle is

    (A) 40 cm (B) 30 cm (C) 15 cm (D) 20 cm

    131. P, Q, R are three points such that PQ = 4 cm, QR = 6 cm

    and PR = 10 cm. Find the number of circles passing

    through the points PQR.

    (A) None (B) Three (C) Two (D) One

    132. 50 men can complete a work in 30 days. All of them

    start together. After every 10 days, 10 men leave the

    work. In how many days will the work be completed?

    (A) 80 days (B) 60 days

    (C) 50 days (D) 40 days

    133. PQRS is a cyclic quadrilateral and PQ is diameter of

    the circle. If QPR is 55, then the value of PSR will

    be

    (A) 35 (B) 145 (C) 135 (D) 125

    134. P and Q are centres of two circles whose radii are 9 cm

    and 4 cm respectively. The direct common tangent to

    the circles meet PQ extended at O and O divides PQ

    externally or internally in the ratio of

    (A) Externally (9 : 4) (B) Externally (3 : 2)

    (C) Internally (9 : 4) (D) Internally (3 : 2)

    135. Find the ratio of perimeter to area of a rhombus whose

    diagonals are 24m and 32m respectively.

    (A) 7 : 24 (B) 5 : 48 (C) 24 : 5 (D) 5 : 24

    136. The sides of a rectangle are 30m and 40m respectively.

    Find the maximum number of square beds that can be

    accommodated in this rectangle if its side is 5m.

    (A) 96 (B) 12 (C) 48 (D) 24

    137. There are two paths each 30m wide intersecting each

    other perpendicularly at the mid of a square ground of

    side 150m. Find the area of the ground except the paths.

    (A) 14400m2 (B) 9600m2

    (C) 13500m2 (D) 8100m2

    138. Three semicircles are described on the sides of square.

    The side of the square is 28 cm. Find the total area of

    the figure thus formed.

    (A) 2632 cm2 (B) 3416 cm2

    (C) 2016 cm2 (D) 1708 cm2

    139. The ratio of the diameter of a sphere to the height of a

    cone is 2 : 9. If their volumes are same, find the ratio of

    their radii.

    (A) 3: 2 (B) 9 : 4 (C) 4 : 9 (D) 3 : 10

    140. If cos + sec =2

    1, then the value of cos3 + sec3 is

    (A) 0 (B) 2 (C)11

    8 (D)

    8

    11

    141. If cos

    =5

    4

    then the value oftan1

    secis

    (A)9

    4(B)

    7

    3(C)

    7

    5(D)

    7

    4

    142. If cot 2

    = 3 , then the value of sin cos

    = ?

    (A)2

    13

    (B)4

    13

    (C) 0 (D)3

    2

    143. The value of sin215 + sin245 + sin2 45 + sin265 + sin2

    75 + sin290 is equal to

    (A) 2 (B) 2.5

    (C) 3.5 (D) 3

    144. The least value of 9 cosec2A + 16 sin2A is

    (A) 7 (B) 24

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    (C) 25 (D) 14

    Directions (Q. 145-150): Study the following table

    carefully and answer the question given below:

    The table shows the number of copies sold of five

    magazines in five different cities. These magazines are

    Outlook, India Today, Frontline, Sportsstar and Femina and

    the price of each magazine is `55, `30, `45, `60 and `65

    respectively.

    Magazine

    CityOutlook

    India

    TodayFrontline

    Sports-

    starFemina

    Delhi 450 880 1100 270 330

    Patna 225 575 375 135 130

    Ranchi 175 525 275 140 110

    Kolkata 335 750 600 540 275

    Mumbai 380 820 900 1020 375

    145. Find the ratio of the no. of copies sold of Frontline in

    all five cities to that of all magazines in Patna.(A) 325 : 144 (B) 144 : 325

    (C) 75 : 325 (D) 144 : 329

    146. The difference of the average no. of copies sold of

    India Today and that of Outlook in all five cities is

    (A) 397 (B) 398 (C) 394 (D) 395

    147. The price of the total magazines sold in Kolkata is

    (A) `189100 (B) `118200

    (C) `129200 (D) `149900

    148. The no. of copies sold of Sportsstar in all five cities is

    that of approximately what per cent of that of Femina

    in all five cities?

    (A) 80% (B) 90% (C) 172.5% (D) 160%

    149. The average sales of India Today in all five cities is(A) `21300 (B) `29100

    (C) `27700 (D) `29500

    150. Find the difference between the average of the

    magazines sold in Patna and that in Ranchi?

    (A) 41 (B) 49 (C) 43 (D) 45

    Part-D: English Comprehension

    Directions: 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. Work hard lest you will fail, said the mother to her

    (A) (B)

    daughter, who was taking her MA examination that

    (C)

    year. No error

    (D)

    152. Not only he will go to see the Red Fort but will also

    (A) (B)

    meet some of his friends in the evening. No error

    (C) (D)

    153. The committee appointed to investigate into the IPL

    (A)

    match fixing will convene next week to further discuss

    (B)

    their strategy. No error

    (C) (D)

    154. The tourists had hired a luxury bus to roam around

    (A)

    the city but their plan failed as the bus met an accident.

    (B) (C)

    No error

    (D)

    155. Healthy people are happy people and ancient wisdom

    (A) (B)

    also tells us that health is wealth. No error

    (C) (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.

    156. Several companies that ________ in the past few years

    offering logistics services to e-commerce firms have

    shut shops.

    (A) has come up (B) have appeared

    (C) have left (D) sprung up

    157. India has huge potential but there are many ________

    to growth.(A) complication (B) constraints

    (C) components (D) constitution

    158. Even in developed countries there are a large number

    of persons who do not have enough ________ for

    post-retirement life.

    (A) role (B) linking

    (C) preparation (D) competition

    159. Socially backward groups like SC/ST and OBC are

    usually ________ with lower use of reproductive

    health services and poorer health outcomes.

    (A) associated (B) accompanied

    (C) compared (D) accused

    160. ________ the recent Food Security Act, considerableattention has been paid to the distribution of food

    grains to a large section of the population at affordable

    prices.

    (A) Despite (B) In lieu of

    (C) In spite of (D) In the wake of

    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-

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    Sheet.

    161. Hubbub

    (A) peace (B) harmony

    (C) uproar (D) quiet

    162. Innocuous

    (A) harmless (B) delicious

    (C) injurious (D) tasty

    163. Jamboree

    (A) joke (B) celebration

    (C) custodian (D) link

    164. Consecrate

    (A) meditate (B) demolish

    (C) restrain (D) sanctify

    165. Thesaurus

    (A) brochure (B) dictionary

    (C) proposition (D) thesis

    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. Bridle

    (A) curb (B) restraint

    (C) nuptial (D) liberation

    167. Covert

    (A) surreptitious (B) camouflaged

    (C) open (D) secret

    168. Detriment

    (A) damage (B) benefit

    (C) liability (D) spoiling

    169. Unfurl

    (A) close (B) display

    (C) spread (D) expand

    170. Wind up(A) end (B) twinkle

    (C) start (D) separate

    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. One must notcave inunder pressure.

    (A) decide (B) yield

    (C) misbehave (D) commit suicide

    172. She refused to accept the award cocking a snookat

    the Oscar Award jury.

    (A) showing contempt (B) with due regard(C) accusing (D) in presence of

    173. Rajani found herself in a tight cornerwhen she lost

    her journey ticket.

    (A) at the gate

    (B) in the washroom

    (C) under her seat

    (D) in a difficult situation

    174. Sushil isdown in the dumpsafter his brothers death.

    (A) ill (B) in the town

    (C) unhappy (D) busy with his work

    175. She wassinking fast.

    (A) deteriorating (B) improving

    (C) growing (D) bettering

    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. The Tamil Nadu government decided to submit the

    sentences of the three convicts and release them from

    prison after duly informing the Centre.

    (A) abrogate the sentence

    (B) commit the sentences

    (C) remit the sentences

    (D) No improvement

    177. Bihar is house to some of the most important religious

    and cultural heritage sites in the country.(A) home to some of (B) place to some of

    (C) destination to few (D) No improvement

    178. Located around 135 km away from Patna is Bodh Gaya,

    one of the most sacred Buddhist site of the world.

    (A) site around the (B) sites in the

    (C) location of the (D) No improvement

    179. The European Union has announced a series of

    measures to rein in the banking sector, including a cap

    on bankerss bonuses.

    (A) have announced series

    (B) has announced serieses

    (C) has been announced a series

    (D) No improvement180. Fiji, who has had a shaky democratic foundation, is in

    the process of holding its first democratic election.

    (A) that has have (B) which has had

    (C) who had (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. One who eats everything

    (A) Omnipresent (B) Omnivorous

    (C) Omniscient (D) Insectivorous

    182. A person who brings goods illegally into the country

    (A) Crusader (B) Pirate

    (C) Trespasser (D) Smuggler 183. The part of a government which is concerned with

    making rules

    (A) Supreme Court (B) Constitution

    (C) Legislature (D) Ministers

    184. That which cannot be seen

    (A) Invisible (B) Transitory

    (C) Opaque (D) Translucent

    185. Continuing fight between parties, families, clans etc

    (A) Battle (B) Feud

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    (C) War (D) Attack

    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 appropriate

    rectangle.

    186. (A) bachler (B) bachelor

    (C) batchlar (D) bachlor

    187. (A) reconnaisance (B) recconaisense

    (C) reconnaiscence (D) reconnaissance

    188. (A) belligerent (B) beligerent

    (C) bellygerant (D) bailigerent

    189. (A) fuscillade (B) fuscilade

    (C) fusillade (D) fusilade

    190. (A) silhoutte (B) silhouette

    (C) silhoutee (D) silhauttee

    PASSAGE I (Question Nos. 191 to 195)

    Three weeks after surrendering before an intolerant

    petitioner who sought to ban a book he didnt agree with,Penguin India appears unwilling to re-examine its decision

    to withdraw and pulp all copies of Wendy Donigers The

    Hindus: An Alternative History. Penguins decision flies

    in the face ofa publishers duty to stand up for freedom of

    speech. It also betrays a lack of understanding of the law

    on free speech, not to speak of the way the Indian judiciary

    has interpreted the law whenever demands for censorship

    have been made. Ironically, Penguins cowardice in the

    face of the demands of self-righteous lobbies will only

    encourage further demands for book bans and directly

    undermine the commercial foundations of the publishing

    industry as a whole.

    Not surprisingly, writers have condemned Penguin forbeing party to an ugly attack on academic freedom. Some,

    including the two of us, have registered our anger by asking

    Penguin to cancel our own book contracts and pulp

    whatever copies remain lest we too be sold down the river

    by a publisher that does not have the stomach to defend

    the titles it brings out. As of this writing, our demands

    have still not been accepted.

    Prompted by Penguins self-serving defence that it

    was the Indian Penal Code (IPC) which forced its hand on

    the Doniger book, many writers have urged the Government

    of India to amend specific sections of the IPC especially

    153A and 295A which make the promotion of enmity

    towards, or the deliberate insult of, a religious group acriminal offence.

    191. What does the author say about the act of Penguin

    on withdrawing and pulping all copies of Wendy

    Donigers book The Hindus:An Alternative History?

    (A) It is an absolutely correct decision to withdraw

    and pulp all copies of such an anti-Hindu religious

    book.

    (B) It is cowardice to bow down before illegitimate

    demands of self-righteous lobbies.

    (C) To run the business smoothly it is necessary to

    take such an action.

    (D) All the above

    192. Find the correct statement on the basis of the given

    passage.

    (A) Penguin India has full understanding of the law

    on free speech.

    (B) Penguin India has decided to reverse its decision

    to withdraw and pulp all copies of Wendy

    Donigers book.

    (C) Penguins stand is not against a publishers duty

    to standing for freedom of speech.

    (D) Penguins stand is not contrary to the

    interpretation of Indian judiciary regarding

    censorship.

    193. What has/have been the effect of the decision to

    withdraw Wendy Donigers book The Hindus: An

    Alternative History?

    (i) Many writers have condemned Penguin for aidingan ugly attack on academic freedom.

    (ii) Some of the writers have asked Penguin to cancel

    book contracts.

    (iii) Penguin India has filed cases against those who

    have vitiated the contract.

    (A) Only (i) (B) Only (ii)

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

    194. What are the sections 153A and 295A of IPC all about?

    Give your answer in the context of the passage.

    (A) It is about the rights and duties of a publisher.

    (B) It is against promoting enmity towards or the

    deliberate insult of a religious group.

    (C) It is about prohibiting foreign nationals frompublishing their books in India.

    (D) It is all about how to establish harmony between

    different religious groups.

    195. What is the meaning of the phrase flies in the face of

    as used in the given passage?

    (A) Goes against (B) Reminds

    (C) Compels (D) Prohibits

    PASSAGE II (Question Nos. 196 to 200)

    Widespread heavy rainfall in large parts of

    Uttarakhand caused floods and landslides in mid-june 2013,

    wreakedhavocin the state and devastated its economic

    future. Several thousand people are reportedly dead or are

    still missing; hundreds of villages have been destroyed tothe extent that they are not fit as human habitat in their

    present state. The human tragedy is enormous and deserves

    all the support and relief. However, we generally wake up

    after a disaster strikes and deliver liberal relief, as has also

    been the case for Uttarakhand. We often stop at that point,

    thinking that the state and the people have done their duty.

    Are we to put all the blame on nature and sit pretty?

    What have we learnt from this immense human tragedy in

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    the Devbhoomi, as Uttarakhand is also called, for science

    and future policy, is the important question. Are we in a

    position to analyse this calamity and identify the role of

    human footprint on the Himalayas in magnifying the losses

    of life and property? Can we initiate a fundamental

    reassessment of our vision for and approach to the

    Himalayas, so as to prevent large-scale losses from such

    naturally occurring calamities that are expected to visit the

    mountain periodically?

    An important understanding we need to gather is

    whether there were any destabilising contribution of human

    interventions in the Himalayan environment, especially

    land and water. Considering such an urgency, the

    Government of India has recently established a special

    division for the Himalayan region in India in the Ministry

    of Environment and Forests. However, there is no dearth

    of examples that point to the inconvenient truth that good

    sense and good science do not necessarily ensure

    adoption of good practices that would reduce the risk tolife and property in the fragile Himalayan environment.

    The recent calamity was obviously trigerred by an

    extreme meteorological process that precipitated 300 to 400

    mm of rainfall per day over some parts of Uttarakhand

    continuously for about two to three days. An easy and

    popular explanation of this very heavy rainfall may be made

    by identifying it as the impact of global climate change.

    Such a tendency of putting instances of extreme climate

    change may attract media attention, but scientific correlation

    of global warming and climate change with this particular

    meteorological extreme event in Uttarakhand, which

    occurred in June, has not yet been established. In any

    case, such extreme events will visit the Himalayas and weneed to enhance our preparedness to face them.

    196. Which of the following is not true in the context of the

    given passage?

    (A) This human tragedy is enormous and deserves

    support and relief.

    (B) Everybody has been fished out and no one is

    missing as per the report of the state government.

    (C) The heavy rainfall occurred in Uttarakhand in mid-

    June 2013.

    (D) The villages in flood-affected areas were

    completely ruined.

    197. Who is responsible for the Uttarakhand tragedy?

    (i) Heavy rainfalls

    (ii) Illegal and unscientific construction of buildings

    (iii) Complete disrespect of nature by men

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

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

    198. What step has been taken in th e wake of the

    Uttarakhand tragedy?

    (A) The Govt of India has recently established a

    special division for the Himalayan region in India

    in the Ministry of Environment and Forests.

    (B) The Govt of India has sanctioned an amount of

    `100 crore for reconstruction work in

    Uttarakhand.(C) The State govt has asked the Centre to establish

    meteorological department with the latest

    equipment and information system.

    (D) The State government has appealed to all other

    states for help.

    199. What, a ccording to the a uthor, one needs to

    understand?

    (A) Whether man alone is responsible for the

    Uttrakhand tragedy

    (B) Whether nature alone is responsible for the

    Uttrakhand tragedy

    (C) Whether there were any destabilising

    contribution of human interventions in theHimalayan environment

    (D) All the above

    200. What is the meaning of the words wreaked havoc as

    used in the passage?

    (A) built (B) repaired

    (C) stretched (D) ruined

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    Answers

    1.B;

    2.C;

    3.A;

    4.D; 5 + 2 = 72= 49

    Similarly, 7 + 2 = 92= 81

    5.B; The first is used to hold the second.

    6. B; The first is the symbol of the second.

    7.B;

    8.C;

    9.B; abcd/bcad/cabd/abcd/bcad/cabd

    10.D; Fathers age = x

    Rahuls age =5

    x2

    After 10 years

    2

    10x10

    5

    x2

    or, 4x + 100 = 5x + 50

    or, x = 50 years

    11. D; The pattern is:2nd number

    = 1st number +2

    3 3rd number

    Thus, 4 + 6 2

    3= 4 + 9 = 13

    Similarly, 11 + 2 2

    3= 11 + 3 = 14

    12.A; The digit-sum of the numeric value of

    the letter is written after the given letter

    while the gap between the series of letters is

    in an ascending order.

    13.B;

    14.C;

    15.D; ef fgh gh hij ij jkl16.A; 3 5 + 1 = 16, 16 4 + 2 = 66, 66

    3 + 3 = 201, 201 2 + 4 = 406

    17.C; B + 3 = E, E + 4 = I, I + 5 = N, N + 6

    = T, T + 7 = A

    18.B; All except Cortes are currencies. Cortes

    is the parliament of Portugal.

    19.D; 22+ 6 + 32= 4 + 6 + 9 = 19

    42+ 2 + 12= 16 + 2 + 1 = 19

    32+ 9 + 12= 9 + 9 + 1 = 19

    32+ 9 + 22= 9 + 9 + 4 =

    20.C; D 4 = 22

    I 9 = 32

    L 12 = 32+ 3

    P 16 = 42

    21.A;4

    16= 4,

    6

    18= 3,

    5

    25= 5,

    6

    42= 7

    Except 4 all are prime numbers.

    22 . B; Except B, all others are groups of

    consonants.

    23.D; 19 + 8 + 7 = 34

    8 + 5 + 8 + 9 + 4 = 34

    9 + ? + 3 + 8 + 5 + 4 + 3 = 34

    or, ? = 34 32 = 2

    Similarly, 12 + 5 + 3 + 8 + ? = 34

    or, 28 + ? = 34 28 = 6

    or, 9 + 18 + 7 = 34

    24.B;

    So,

    Similarly,

    25.C; (42 38) 11 = 4 11 = 44

    And, (28 23) 11 = 5 11 = 55

    So, (39 37) 11 = 2 11 =

    26.D; 23= 8, 33= 27 = 2 + 7 = 9, 43= 64 =

    6 + 4 = 10, 53= 125 = 1 + 2 + 5 = 8, 63= 216

    = 2 + 1 + 6 = 9

    27. A; There is no L in the keyword.

    28.C; There is no G or E in the keyword.

    29. D; There is no E in the keyword.30.B; A > B = C > J

    31.D; G 2 = E

    Similarly, K 2 = I

    So, S 2 = Q

    32.A; Let the number of students is Class Y

    be x.

    Then, the number of students in Class Z

    =3

    x

    According to the question,

    x + 24 +3

    x+ 20 = 140

    or, x +3x = 140 44

    or,3

    xx = 96

    or, 4x = 96 3

    x =4

    396 = 72

    Number of students in Class Z

    =3

    72= 24

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    33 . B; Girl = Reemas friends mothers

    brother-in-laws daughter.

    = Reemas friends cousin

    34.C;

    Similarly,

    35.A; Let the age of C be x years.

    Then, A = 5x, B = x + 3

    Now, 5x = 2(x + 3)

    or, 5x = 2x + 6

    x =3

    6= 2

    Hence, B = x + 3 = 2 + 3 = 5 years

    36.C;

    37. C

    38. A

    39.D; No watch is a needle (E) + No needle

    is a thread (E) = E + E = No conclusion.

    Hence, conclusion I does not follow.

    Again, No watch is a needle conversion

    No needle is a watch. Hence, conclusion

    II does not follow.

    40. A; No clerk is a boy (E) + All boys are

    typists (A) = E + A = O* = Some typists are

    not clerks. Hence conclusion I follows.

    Again, No clerk is a boy conversion

    No boy is a clerk. Hence, conclusion II does

    not follow.

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

    46. D 47. D 48. A 49. D 50. C

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

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

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

    66. C 67. C 68. C 69. C 70. A

    71.A; Heavy water was first discovered by H

    Urey and EF Osborn in 1932.

    72. B 73. B 74. C 75. B

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

    81. B 82. C 83. A 84. B 85. C

    86. A 87. A 88. B 89. D 90. D

    91. C 92. A 93. C 94. C 95. D

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

    101.C; Let the numbers of coins be 3x, 4x

    and 4x respectively.

    Then, the value of coins =4

    x4

    2

    x4

    1

    x3

    = 3x + 2x + x = 6x

    Given 6x = 90

    x = 15

    Number of 1 rupee coins = 3x = 3 15

    = 45

    102.A; Suppose x white marbles are added.

    Then,120

    40x=

    50

    50

    or, x + 40 = 120

    or, x = 80

    103.D; a * b = ab

    Now, 8 * 4 = 84= 8 8 8 8 = 4096

    104. B;7

    12017 +

    7

    22017 +

    7

    32017 +

    7

    42017 +

    7

    52017 +

    7

    62017

    = 6 2017 + 7

    6

    7

    5

    7

    4

    7

    3

    7

    2

    7

    1

    = 12102 +7

    654321

    = 12102 +7

    21= 12105

    105.D; Given expression:30

    1+

    42

    1+

    56

    1

    +72

    1+

    90

    1+

    110

    1+

    132

    1+

    156

    1

    = 6

    1

    5

    1

    + 7

    1

    6

    1

    + 8

    1

    7

    1

    + 9

    1

    8

    1

    +10

    1

    9

    1 +

    11

    1

    10

    1 +

    12

    1

    11

    1 +

    13

    1

    12

    1=

    13

    1

    5

    1=

    65

    513=

    65

    8

    106. C; Fraction value of8

    7 = 0.878,

    4

    3= 0.75,

    12

    11= 0.916 and

    11

    10 = 0.909

    Greatest fraction is

    12

    11

    107.A; Volume of the cube = (8)3= 512 cm3

    When the cube is immersed in a vessel, the

    water level rises.

    Let the rise in water level be x cm.

    Then, volume of cube = Volume of water

    replaced by it.

    or, Volume of the cube = Volume of cuboid of

    dimensions 12 cm 8 cm x cm

    or, 12 8 x = 512

    or, x =812

    512

    =3

    16= 5.33 cm

    108. B; Dividend on 1 share =100

    10 60

    = `6 `12.50 is income on investment of `100.

    `6 is income on an investment of

    625

    2100 = `48

    Cost of one share = `48

    109. C; Given change in time = 7 minutes

    andb

    a=

    8

    7

    We have,

    change in time = 1a

    b original time

    or, Original time =

    1a

    b

    in timeChange

    = 77

    17

    8

    7 = 49 minutes

    110.A; (...9)2m + 1 will have 9 at its units

    place.

    (1129)123 will have 9 at its units place.

    (...4)2m + 1will have 4 at its units place.

    (1444)311 will have 4 at its units place

    Again, (729)11will have 9 at its units place.

    Thus, (1129)123 + (1444)311+ (729)11

    = ...9 + ... 4 + ...9 = ...22

    111.B; Here, a = 25

    Overall loss % =2

    10

    x =

    2

    10

    25

    = 6.25%

    112. D; Let the original price be `x per

    orange.

    Then, reduced price =100

    80x = ` x

    5

    4

    40x

    80

    x5

    4

    80

    or, 40x

    80

    x4

    400

    or, 40x

    80

    x

    100

    or, x =2

    1

    Reduced price =2

    1

    5

    4 = 0.40 paise

    113.D;

    Let AB be the tower and C and D be the

    point s of observation.

    Then, ACB = 30, ADB = 45

    And CD = 30m.

    Let AB = h m

    Now, in ACB, we have

    tan 30 =CB

    AB=

    30x

    h

    or, h = (x + 30) 3

    1... (i)

    And in ADB

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    KUNDAN

    tan 45 =DB

    AB

    or, 1 =DB

    h=

    x

    h

    x = h ... (ii)

    Now, putting the value of x in equation (i),we get

    h = (h + 30) 3

    1

    or, h3 = h + 30

    or, h( 3 1) = 30

    or, h =13

    13

    13

    30

    =13

    )13(30

    = 15( 3 + 1) = 15(1.73 + 1)

    = 15 2.73 = 40.95m

    114.A; CP = 990 110

    100

    100

    90

    = `810

    After allowing discount, total gain

    = (990 810) = `180

    % gain =810

    100180 = %

    9

    222

    115.B; Let the principal be `x.

    Amount = 4 x = `4x

    Simple interest = (4x x) = `3x

    Time = 20 years

    Rate =TP

    100SI

    =20x

    100x3

    = 15%

    116. A; Let lent money be `P and each

    instalment be `x.

    Then,

    P...

    100

    x1

    x

    100

    x1

    x

    100

    x1

    x

    32

    Now, x = `33275, rate = 10% pa

    So,32

    100

    101

    33275

    100

    101

    33275

    100

    101

    33275

    = P

    or, P = 32

    10

    11

    33275

    10

    11

    33275

    10

    110

    33275

    10001331

    33275100

    121

    3327510

    11

    33275P,or

    or, P = (30250 + 27500 + 2500)

    P = `60250

    117.C; (A + B) can do12

    1work in 1 day..

    Again, B + C can do18

    1work in 1 day..

    And C + A can do20

    1work in 1 day..

    Now, 2(A + B + C)s 1 days work

    =20

    1

    18

    1

    12

    1 =

    360

    182030 =

    360

    68

    (A + B + C)s 1 days work =720

    68

    Hence, A, B and C will complete the work in

    17

    1010

    17

    180 days

    118.B; 40 men working 10 hours a day can

    do a piece of work in 80 days.

    Suppose x men can do the same piece of

    work in 20 days, working 8 hours a day.

    Now, M1D

    1H

    1= M

    2D

    1H

    2

    40 80 10 = x 20 8

    x =820

    108040

    = 200 men

    119.A; A and B can fill the tank in 12 and 15hours respectively.

    C can empty the tank in 10 hours.

    So, A, B and C can fill in 1 hour

    10

    1

    15

    1

    12

    1 =

    60

    645 =

    60

    3=

    20

    1

    All three pipes are opened at 5 : 30 am.

    They will fill2

    1 of the tank in

    202

    1 = 10 hours from 5 : 30 am

    Time = 5 : 30 am + 10 hours = 15 : 30

    = 3 : 30 pm

    120.C; Radius of the wheel is 84 cm.

    Circumference of the wheel = 2

    r

    = 847

    222 = 528 cm

    Distance covered in 10 minutes

    = 528 600 = 316800 cm = 3.168 km

    ( 100 cm = 1m and 1000m = 1 km)

    Time = 10 minutes =60

    10hours =

    6

    1hours

    Speed =Time

    Distance =

    6

    1

    168.3kmph

    = 19.008 kmph

    121. C; Speed of the current = 6 kmph

    Let the speed of motorboat in still water be

    x kmph.

    Speed downstream = (x + 6) kmph

    Speed upstream = (x 6) kmph

    Now, according to the question,

    2

    3

    60

    90

    6x

    12

    6x

    12

    or, 2

    3

    36x

    72x1272x12

    2

    or,2

    3

    36x

    x24

    2

    or, x2 16x 36 = 0

    or, x2 18x + 2x 36 = 0

    or, x(x 18) + 2(x 18) = 0

    or, (x 18) (x + 2) = 0

    x = 18 kmph Neglect negative value.

    122.C; Volume of water = 100 88 14

    100 100 cm3

    Volume of water filled in 1 hour

    =3cm100100001414

    7

    22

    Reqd time =10000001414

    7

    22

    14880010000

    = 4 hours

    123.B; The wrong sum = 15 40 = 600

    The correct sum

    = 600 (52 + 51) + (25 + 15) = 600 + 40

    103 = 537

    The correct mean =15

    537= 35.8

    124.B; HCF of two numbers is 26.

    Let the numbers be 26a and 26b.

    26a 26b = 4056

    ab =2626

    4056

    = 6 (a, b) = (1, 6) (2, 3)

    So, required numbers are (26 1, 26 6) and

    (26 2, 26 3)

    Number of such pairs = 2

    125.A; Ratio of numbers = 9 : 10

    HCF = 19

    First number = 19 9 = 171

    And second number = 19 10 = 190 LCM HCF = Product of two numbers

    or, LCM 19 = 171 190

    LCM = 1710

    126.D;6

    1+

    12

    1+

    20

    1+

    30

    1+

    42

    1+

    56

    1

    +72

    1+

    90

    1

    =3

    1

    2

    1+

    4

    1

    3

    1+

    5

    1

    4

    1+

    6

    1

    5

    1

    +7

    1

    6

    1 +

    8

    1

    7

    1 +

    9

    1

    8

    1 +

    10

    1

    9

    1

    =10

    1

    2

    1=

    10

    15=

    10

    4=

    5

    2

    127.B; Complement of 4025

    = 90 (4025) = 90 (40 + 25 )

    = (89 40) + (1 25

    )

    = 49 + 60 25 = 4935

    128. D; In ADP,

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    KUNDAN

    Exterior ADC = Interior ( A + P)

    = 35 + 25 = 60

    ABC = ADC = 60

    Since AD is the diameter

    ABD = 90

    DBC = ABD ABC = 90 60

    = 30

    129. D; Let m = 8x + 3, where x is thequotient.

    Then, m2 = (8x + 3)2= 64x2 + 48x + 9

    Now, m2 is divided by 8.

    Then, in8

    9x48x64 2

    , 64 and 48 are

    divisible by 8.

    When we divide 9 by 8, remainder will be 1.

    130.B;

    In the given figure, OC AB

    and OC = 18 cm

    AC =2

    48= 24 cm

    OAC is right-angled triangle.

    So, OA2= OC2+ AC2

    or, OA2= (18)2 + (24)2

    OA2 = 324 + 576 = 900

    OA = 30 cm

    Hence radius = 30 cm

    131.A; PQ = 4 cm, QR = 6 cm

    PR = 10 cm. Now, PR = PQ + QR = 4 + 6

    = 10 cm. Thus, P, Q and R collinear points.

    Hence, PQR is a straight line.

    So, there will be no circle passing through

    these points.

    132.C; 50 men do a work in 30 days.

    M1= 50, D1= 30

    M1D

    1= 50 30 = 1500

    So, M2D

    2= 1500

    We can calculate the work through the table

    given below

    M D 500 4 00 3 00 200 100

    M2 D

    25 0 1 0 4 0 10 3 0 10 2 0 10 1 0 10

    (500 + 400 + 300 + 200 + 100) = Total work

    = 1500

    So, work will be finished in (10 + 10 + 10 +

    10 + 10) = 50 days

    133.B;

    PQRS is a cyclic quadrilateral

    where PQ is a diameter.

    And QPR = 55 and PRQ = 90

    Now, PQR = 90 55 = 35

    PSR + 35 = 180

    or, PSR = 180 35 = 145

    134.A;

    In DPO and CQO

    PDO = QCO = 90

    DOP = COQ (common angle)

    DPO = CQO

    So, PDO ~ CDQ

    QC

    PD

    QO

    PO =

    4

    9

    O divides PQ externally in the ratio of 9 : 4.

    135.D; Diagonals of the rhombus are 24m

    and 32m.

    In POQ

    PQ2= PO2+ OQ2

    or, PQ2 = 144 + 256

    or, PQ = 400

    Perimeter = 20 4 = 80m

    Now, ar ea =2m3224

    2

    1 = 384m2

    Reqd ratio =384

    80= 5 : 24

    136.C; Number of square beds

    = bedsquareaofArea

    rectangleofArea

    =55

    4030

    = 6 8 = 48

    137.A;

    Area of ground = (150m)2 = 22500m2

    Now, area of paths = 30 (150 + 150 30)

    = 30 270m2= 8100m2

    Reqd area = Area of ground Area of path

    = (22500 8100)m2

    = 14400m2

    Note: If two paths, one parallel to the

    length and another parallel to the width,

    intersect each other at perpendicular

    then, the area of paths = width of path

    (length + width of rectangle width of

    path)

    138.D;

    Diameter of circle = Side of square = 28 cm2

    Total area of figure

    = Area of square + 3 2

    1Area of circle

    = 14147

    22

    2

    13784 = 1708 cm2

    139. A; Let the diameter of the sphere be

    2x .

    Radius of the sphere = x

    And height of the cone = 9x Spheres volume = Cones volume

    or,3x

    3

    4 = x9r

    3

    1 2

    or, 4x2 = 9r2

    Taking square root of both sides,

    2x = 3r

    r =3

    2x

    Reqd ratio = x : x3

    2= 3x : 2x = 3 : 2

    140.D; cos

    + sec

    = 2

    1

    Cubing both sides, we get

    cos 3

    + sec3

    = (cos

    + sec

    )3

    3cos sec (cos + sec )

    or, cos3 + sec3

    =3

    2

    1

    2

    13 cos

    cos

    1

    or, cos3 + sec3 =2

    3

    8

    1

    cos3 + sec3 =8

    121=

    8

    11

    141.C; cos

    =5

    4=

    Hypotenuse

    Base

    P = 1625 = 3

    sec4

    5and tan =

    4

    3

    Now,tan1

    sec= 7

    5

    4

    344

    5

    4

    31

    4

    5

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