04.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 8, select the related

    words/letters/number from the given alternatives.

    1. KMF : LLG : : SUH : ?

    (A) TVJ (B) TTI (C) ITT (D) TVG

    2. ACE : E9 : : BDF : ?

    (A) F6 (B) E6 (C) F12 (D) D12

    3. Tree : Roots : : House : ?

    (A) Foundation (B) Floor

    (C) Stairs (D) Platform4. Hope : Aspire : : ?

    (A) Time : Hour (B) Ordinary : Fake

    (C) Lie : Fib (D) Happy : Sorrow

    5. Baldness : Hair : : ?

    (A) Silence : Noise (B) Evening : Night

    (C) Laugh : Giggle (D) Finger : Nail

    6. WDS : DWH : : EVR : ?

    (A) VES (B) SVE (C) VEI (D) EIV

    7. 9 : 15 : 21 : : ?

    (A) 7 : 21 : 28 (B) 4 : 10 : 16

    (C) 10 : 14 : 16 (D) 8 : 12 : 12

    8. 15 : 36 : : 23 : ?

    (A) 46 (B) 52 (C) 50 (D) 55Directions: In question nos. 9 and 10 which set of

    letters, when sequentially placed in the gaps in the given

    letter series, shall complete it?

    9. b _ c _ b _ _ g _ ccgb _ cg

    (A) bcgccb (B) ccbccg (C) cgccbc (D) ccgcbc

    10. c _ bba _ cab _ ac _ ab _ ac

    (A) babcc (B) bcabc (C) acbcb (D) abccb

    Directions: In questions nos. 11 to 15, find the odd

    word/numbers/letters from the given alternatives.

    11. (A) Goitre (B) Anaemia

    (C) Pellagra (D) Scurvy

    12. (A) Titanium (B) Sodium

    (C) Bromine (D) Mercury

    13. (A) 15 23 (B) 16 24 (C) 19 23 (D) 13 23

    14. (A) 5 3 (B) 2 6 (C) 7 3 (D) 7 1

    15. (A) EGF (B) IGH (C) RPQ (D) OMN

    Directions: In questions nos. 16 to 20 a series is

    given with one term missing. Choose the correct

    alternative from the given ones.

    16. D11G J23M P35S ?

    (A) T42V (B) U45X

    (C) V47Y (D) V49Y

    17. AC RT DF UW GI ?(A) VX (B) YX (C) JL (D) XZ

    18. Y V Q N I ?

    (A) D (B) F (C) E (D) L

    19. 25 7 49 13 81 ?

    (A) 18 (B) 15 (C) 10 (D) 9

    20. 115 226 337 448 ?

    (A) 550 (B) 669 (C) 559 (D) 599

    21. If CLOVE is coded as E4O2C then SPANK is coded as

    (A) K4A2S (B) S4A2K (C) K5A3S (D) A4S5A

    22. If AT is coded as 20 and BAT is coded as 40 then CAT

    will be coded as

    (A) 35 (B) 60 (C) 80 (D) 70

    23. If Orange is called Banana, Banana is called Honey,

    Honey is called Milk, Milk is called Apple and Apple

    is called Orange, which of the following is made by

    bees?

    (A) Honey (B) Banana (C) Milk (D) Orange

    24. If means , means , means + and + means then

    (2 16 18) 5 + 2 = ?

    (A) 8 (B) 6 (C) 2 (D) 10

    25. Identify the symbols to be inserted to make the

    expression correct.

    8 7 40 8 51

    (A) =, , , (B) , , , =

    (C) , , , = (D) , , , =26. A watch reads 3 : 15. If the hour hand points to north,

    then which direction will the minute hand point?

    (A) East (B) West

    (C) North (D) South

    27. One morning after sunrise, Kavita and Savita were

    sitting in a lawn with their backs towards each other.

    Kavitas shadow fell exactly towards her left. Which

    direction was Savita facing?

    (A) South (B) North

    (C) East (D) West

    28. In the following figure the rectangle represents school

    teachers, the square represents college teachers and

    the circle represents MBA teachers. Find out the theperson who is a school teacher and MBA teacher but

    not college teacher.

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

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    Directions: In question nos. 29 to 31, find the missing

    number from the given responses.

    29.6 5 2

    5 3 3

    1 4 736 60 ?

    (A) 72 (B) 84 (C) 80 (D) 75

    30.

    (A) 13 (B) 12 (C) 14 (D) 11

    31.

    (A) 42 (B) 54 (C) 63 (D) 108

    Directions: In question nos. 32 to 34, from the given

    alternative words, select the word which cannot be formed

    by using the letters of the given word.

    32. CONSOLIDATE

    (A) NATIVE (B) SOLD(C) SLAIN (D) DETAIL

    33. MIRACULOUS

    (A) SCAR (B) MURAL

    (C) RACE (D) MOLAR

    34. KNOWLEDGE

    (A) KEEN (B) EAGLE

    (C) GOLDEN (D) WEDGE

    35. What is the least number to be added to 6000 to make

    it a perfect square?

    (A) 88 (B) 76 (C) 84 (D) 58

    Directions: In question nos. 36 and 37 arrange the

    given words in a meaningful order and select the option

    indicating the correct order.36. 1. Milk 2. Butter 3. Grass

    4. Cow 5. Ghee

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

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

    37. 1. Door 2. Light 3. Key

    4. Room 5. Lock

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

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

    Directions: In question nos. 38 and 39, two statements

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

    consider both 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, follows from the

    given statements.

    38. Statements: Some blankets are pillows.

    All pillows are books.

    Conclusions: I. Some books are blankets.

    II.Some pillows are not blankets.

    (A) Only conclusion I follows

    (B) Both conclusions I and II follow

    (C) Only conclusion II follows

    (D) Either conclusion I or II follows

    39. Statements: No American is an Indian.

    No Indian is a boy.

    Conclusions: I. Some Americans are not boys.

    II. No boy is an Indian.

    (A) Only conclusion I follows(B) Both conclusions I and II follow

    (C) Only conclusion II follows

    (D) Either conclusion I or II follows

    40. Which of the following diagrams indicates the best

    relation between College, Teacher and Students?

    (A) (B)

    (C) (D)

    41. A sheet of paper has been folded as shown in the

    Question Figure. You have to figure out from among

    the four Answer Figures how it will appear whenopened.

    Question Figures

    Answer Figures

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

    42. Which Answer Figure will complete the QuestionFigure?

    Question Figure

    Answer Figures

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

    43. Which Answer Figure will complete the Question

    Figure?Question Figure

    Answer Figures

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

    44. Three different positions of a dice have been shown

    in the following figures. Which dot number will beopposite five dots?

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

    45. Which of the following Answer Figures is embedded

    in the Question Figure?

    Question Figure

    Answer Figures

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

    46. From the given Answer Figure, select the one in which

    the Question Figure is hidden/embedded.

    Question Figure

    Answer Figures

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

    47. Find out water image of the given group of letters.

    EMANATE

    (A) (B)

    (C) (D)

    48. Which of the following Answer Figures is the exact

    mirror image of the given Question Figure, when the

    mirror is held on the line AB?

    Question Figure

    Answer Figures

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

    49. How many triangles are there in the figure given

    below?

    (A) 13 (B) 12 (C) 14 (D) 15

    50. A word is represented by only one set of numbers as

    given in any one of the alternatives. The set of

    numbers given in the alternatives is represented by

    two classes of alphabets as shown 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 00, 13, 57 and T can be

    represented by 56, 03 etc. Identify the set for the word

    TEMP.Matrix I

    0 1 2 3 4

    0 A U O T B

    1 T E P A W

    2 R M G G I

    3 U M M C L

    4 P I N E C

    Matrix II

    5 6 7 8 9

    5 P T A M E

    6 G I O T M

    7 E A L T N

    8 R A B L I

    9 N P E G P

    (A) 68, 11, 69, 40 (B) 78, 43, 31, 97

    (C) 10, 58, 41, 14 (D) 56, 55, 42, 99

    Part B: General Awareness51. The fiscal policy in India is NOT aimed at which of the

    following?

    (A) Financial inclusion

    (B) Poverty eradication

    (C) Regulation of international trade

    (D) Full employment

    52. Which of the following is NOT a qualitative credit

    control measure of the RBI in India?

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    (A) Moral Suasion

    (B) Open Market Operations

    (C) Marginal Requirement

    (D) Rationing of credit

    53. Who among the following was the revenue minister at

    the court of Akbar?

    (A) Man Singh

    (B) Todar Mal

    (C) Birbal

    (D) Abdul Rahim Khan-I-Khana

    54. Due to presence of which of the following, a chameleon

    can change it colour?

    (A) Chromatophore (B) Haemoglobin

    (C) Pneumatophore (D) Chlorophyll

    55. Which of the following is the richest known source of

    protein?

    (A) Milk (B) Eggs

    (C) Meat (D) Soyabean

    56. Which of the following is NOT an example of directtax?

    (A) Income tax (B) Gift tax

    (C) Property tax (D) Sales tax

    57. Which of the following is a fundamental right?

    (A) Right to property

    (B) Right to freedom of religion

    (C) Right to employment

    (D) Right to strike

    58. The govt removes barriers and restrictions that affect

    doing business in a country under

    (A) Privatisation (B) Liberalisation

    (C) Globalisation (D) Capitalisation

    59. ________ is a utility that compresses a file to reduceits size for easy transmission.

    (A) Opera (B) WinZip

    (C) PowerPoint (D) CorelDraw

    60. Nitrogen is an essential constituent of which of the

    following?

    (A) Vitamins (B) Fats

    (C) Carbohydrates (D) Proteins

    61. Which of the following principles is used in

    cinematography?

    (A) Total internal reflection

    (B) Refraction

    (C) Persistence of vision

    (D) Scattering of light62. Sleeping sickness (Trypanosomiasis) is a disease

    prevalent in sub-Saharan Africa and is spread by

    (A) Tsetse fly (B) Mosquito

    (C) Ant (D) Rat

    63. Which of the following is/are NOT matched correctly?

    (A) Normal Blood Pressure: 120/80

    (B) Normal Pulse Rate (adult): 60-100 beats/minute

    (C) Normal Blood Glucose Level (fasting): 70-100 mg/

    dL

    (D) None of the above

    64. Which of the following gases is supplied through

    piped connection for cooking in households?

    (A) LPG (B) CNG

    (C) PNG (D) All the above

    65. Which of the following was the first state to establish

    the institution of Panchayati Raj in independent India?

    (A) Gujarat (B) Maharashtra

    (C) Rajasthan (D) Andhra Pradesh

    66. Non-Resident Indians (NRI) day is observed on which

    of the following dates?

    (A) 2 Jan (B) 9 Jan (C) 22 Jan (D) 30 Jan

    67. A limnic eruption, also referred to as a lake overturn, is

    a rare type of natural disaster which takes place with a

    sudden eruption of

    (A) Carbon dioxide (B) Nitrogen

    (C) Vapour (D) Carbon monoxide

    68. Which of the following statements is/are NOT correct

    with respect to polio?(A) Polio is also called infantile paralysis.

    (B) Polio virus multiplies in intestinal cells.

    (C) Polio damages motor neurons of central nervous

    system (CNS).

    (D) Polio is still a prevalent disease in India.

    69. Match the following missions with corresponding

    years and answer the question on the basis of the

    codes provided below:

    1. Cabinet Mission a. 1942

    2. Cripps Mission b. 1945

    3. Wavell Plan c. 1919

    4. Rowlatt Act d. 1946

    1 2 3 4(A) d a b c

    (B) d c b a

    (C) b d c a

    (D) a d c b

    70. Which of the following vessels carries oxygenated

    blood to the human heart?

    (A) Pulmonary veins (B) Systemic veins

    (C) Superficial veins (D) Renal veins

    71. Which among the following is NOT a term related to

    functioning of the Indian Parliament?

    (A) Appropriation Bill

    (B) Adjournment sine die

    (C) Ad hoc Committee(D) None of the above

    72. The concept of Five Year Plan was borrowed from

    the constitution of which of the following countries?

    (A) USA (B) Russia

    (C) France (D) Canada

    73. The deepest part of the worlds oceans, Mariana

    Trench, is located in the

    (A) Indian Ocean (B) Pacific Ocean

    (C) Arctic Ocean (D) Atlantic Ocean

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    74. Which of the following dynasties ruled in south India?

    (A) Gupta dynasty (B) Chola dynasty

    (C) Maurya dynasty (D) Nand dynasty

    75. Match the following irrigation and power projects in

    India with the state they are located in and answer the

    question on the basis of the codes provided below:

    1. Indira Gandhi Canal a. Gujarat

    2. Hirakud Project b. Andhra Pradesh

    3. Nagarjuna Sagar c. Odisha

    4. Kakrapar Project d. Rajasthan

    1 2 3 4

    (A) d a b c

    (B) d c a b

    (C) b d c a

    (D) d c b a

    76. Joule is an SI unit used to measure

    (A) Work (B) Energy

    (C) Quantity of heat (D) All the above

    77. Match the following reactions and their characteristicsand answer the question on the basis of the codes

    provided below:

    1. Photochemical reaction a. Heat is evolved

    2. Electrochemical reaction b. Heat is absorbed

    3. Endothermic reaction c. Chemical reaction

    caused by electric

    current

    4. Exothermic reaction d. Chemical reaction

    which requires light

    energy

    1 2 3 4

    (A) d c b a

    (B) d b c a(C) b d c a

    (D) a d c b

    78. The Parliament passed the Interim Budget 2014-15

    recently. What is the budget allocation for the non-

    plan expenditure for the financial year 2014-15?

    (A) `12,07,892 cr (B) `10,12,000 cr

    (C) `7,11,235 cr (D) `5,55,532 cr

    79. The theory of ionisation was given by

    (A) Henry Becquerel (B) L Pauling

    (C) GN Lewis (D) S Arrhenius

    80. Match the following and answer the question on the

    basis of the codes provided below:

    1. Lord Curzon a. Subsidiary Alliance2. Lord Clive b. Indian Universities Act

    3. Lord Rippon c. Local Self-Governance

    4. Lord Wellesley d. Dual System of Govt in

    Bengal

    1 2 3 4

    (A) d a b c

    (B) d c b a

    (C) b d c a

    (D) a d c b

    81. The Booker-winning novelThe God of Small Things

    has been written by who among the following?

    (A) Salman Rushdie (B) Kiran Desai

    (C) Arundhati Roy (D) Anita Desai

    82. The two nations which are connected by an

    underwater tunnel are

    (A) Indian and Sri Lanka

    (B) North Korea and South Korea

    (C) France and England

    (D) Malaysia and Singapore

    83. The silver coins were calledrupyakaduring the period

    of

    (A) Guptas (B) Rashtrakutas

    (C) Mauryas (D) Palas

    84. Match the following technologies and the principle

    they are based on and answer the question on the

    basis of the codes provided below:

    1. Television a. Digital Logic2. Computers b. Propagation of electromagnetic

    waves

    3. Sonar c. Bernoullis principle in fluid

    dynamics

    4. Aeroplane d. Reflection of ultrasonic waves

    1 2 3 4

    (A) d a b c

    (B) b a d c

    (C) b d c a

    (D) a d c b

    85. Identify among the following the device that facilitates

    transmission of the computer output over a telephone

    line.(A) Repeater (B) Modem

    (C) USB (D) Interpreter

    86. Which of the following methods is/are used to measure

    the national income of a country?

    (A) Product Method (B) Income Method

    (C) Expenditure Method (D) All the above

    87. Which of the following is NOT correct?

    (A) First woman governor of a state Sarojini Naidu

    (B) First woman chief minister of a state Sucheta

    Kriplani

    (C) First woman Union Cabinet minister Vijaya

    Lakshmi Pandit

    (D) First woman Speaker of the Lok Sabha NajmaHeptulla

    88. A bug refers to which of the following in a

    programme?

    (A) Repetition (B) Hyperlink

    (C) Error (D) Signature

    89. Name the Indian industrialist who has been conferred

    USD 50,000 DSC prize for South Asian literature for

    his literary workChronicles of a Corpse Bearer?

    (A) Ratan Tata (B) Cyrus Mistry

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    (C) Azim Premji (D) NR Narayana Murthy

    90. The Central Govt has directed the implementation of

    150 days of wage employment under Mahatma Gandhi

    Na tion al Rural Em ploymen t Guarantee Ac t

    (MGNREGA) to Scheduled Tribe households living

    in

    (A) forest areas (B) flood-affected areas

    (C) drought-affected areas (D) north-eastern area

    91. Which of the following sports federations has been

    conferred the Best National Sports Federation award

    from the Federation of Indian Chamber of Commerce

    and Industry (FICCI) recently?

    (A) All India Football Federation (AIFF)

    (B) National Rifle Association of India (NRAI)

    (C) Federation of Motor Sports Club of India

    (D) Billiards and Snooker Federation of India

    92. According to the population-based study by the

    Indian Council for Medical Research (ICMR), which

    of the following cities in India has the largest numberof child cancer cases?

    (A) Pune (B) Delhi

    (C) Chennai (D) Mumbai

    93. The Financial Stability and Development Council

    (FSDC), the apex body of the financial sector regulators

    in India, is led by

    (A) the governor of RBI (B) the Finance Minister

    (C) the Prime Minister (D) the Law Minister

    94. The temporary loans from the RBI to the govt given

    time-to-time to bridge the interval between expenditure

    and receipts, are called

    (A) Dated Securities

    (B) Gilt-edged securities(C) Ways and means advances

    (D) Treasury bills

    95. It is an economic condition in which there is a general

    decline in prices, often caused by a reduction in the

    supply of money or credit. Identify the condition.

    (A) Deflation (B) Inflation

    (C) Devaluation (D) Stagflation

    96. The Ninth Mahatma Gandhi National Rural

    Employment Guarantee Act (MGNREGA) Divas was

    observed recently on which of the following dates?

    (A) 30 Jan (B) 31 Jan (C) 1 Feb (D) 2 Feb

    97. The Union Cabinet chose Dugarajapatnam as the

    location for one of two new govt-controlled ports inthe country recently. It is situated in which of the

    following states?

    (A) Tamil Nadu (B) Gujarat

    (C) Andhra Pradesh (D) Maharashtra

    98. Indian Navy conducted its largest exercise till date

    under the lens of Indias first dedicated military satellite

    recently. Which of the following is Indias first

    dedicated military satellite?

    (A) IRNSS-1A (B) GSAT-10

    (C) GSAT-7 (D) GSAT-14

    99. Who among the following was conferred Rotarys

    highest award for his leadership recently? The award

    is recognition for heads of countries or govts for service

    to humanity, upholding values reflected in the Rotarys

    motto Service Above Self.

    (A) Pranab Mukherjee (B) Vladimir Putin

    (C) Barack Obama (D) Shinzo Abe

    100. Which of the following countries has become the first

    country in the world to allow euthanasia for terminally

    ill children recently?

    (A) Norway (B) Sweden

    (C) Belgium (D) Brazil

    Part C: Quantitative Aptitude

    101. In the given figure, O is the centre of the circle and the

    radius of the circle is 7 cm. If OAB = 45, find the area

    of the shaded portion.

    (A) 38.5 cm2 (B) 27.5 cm2

    (C) 13.5 cm2 (D) 14 cm2

    102. Find the ratio of the area of an equilateral triangle of

    side 2a units to that of a square whose diagonal is 4a

    units.

    (A) 1 : 1 (B) 2 : 1

    (C) 1:3 (D) 8:3

    103. A right prism has a triangular base with perimeter 38

    cm. If the lateral surface area of the prism is 342 cm2,

    find its height.

    (A) 5 cm (B) 16 cm (C) 12 cm (D) 9 cm

    104. Find the area of the square inscribed in a circle of

    radius 6 cm.

    (A) 36 cm2 (B) 144 cm2

    (C)2cm

    2

    144(D) 72 cm2

    105. If the radius of a sphere increases by 50% then its

    volume will increase by

    (A) 50% (B) 150%(C) 337.5% (D) 237.5%

    106. PXY and PQR are secants drawn to a circle. If PX

    = 2PQ, XY = 12 cm and PQ = 4 cm, find QR.

    (A) 20 cm (B) 26 cm

    (C) 36 cm (D) 16 cm

    107. In the given figure, O is the centre of the circle,

    A = 40 and C = 30. Find AOC.

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    (A) 100 (B) 70 (C) 120 (D) 220

    108. In the given figure, ABCD is a square of side 4 cm, if

    CD : DE = 2 : 5, find the area of BDE.

    (A) 25 cm2 (B) 10 cm2 (C) 20 cm2 (D) 15 cm2

    109. In the given figure, O is the centre of the circle and CB

    is a tangent. If AOB = 120, find ABC.

    (A) 90 (B) 60 (C) 30 (D) 40

    110. In the given figure, ABC is an isosceles triangle in

    which BA = BC, BCA = 60, CD is the angular bisector

    of ACB and AE is the angular bisector of BAC.

    Find CDB.

    (A) 30 (B) 90 (C) 120 (D) 60

    111. A solid rectangular box of dimensions 16 cm 12 cm

    11 cm is melted to form lead balls of diameter 4 cm.

    Find the number of balls thus formed.

    (A) 52 (B) 100 (C) 93 (D) 63

    112. Find the total surface area and volume respectively ofa rectangular box which is 9m long, 8m wide and 7m

    high.

    (A) 391m2, 292m3 (B) 382m2, 504m3

    (C) 504m2, 382m3 (D) 121m2, 392m3

    113. The product toequalisto...)32()32()32( 361

    6

    1

    (A) 32 (B) 16 (C) 64 (D) 0

    114. A 200-m-long train crosses a pole in 10 seconds.

    Another train travelling at the same speed crosses a

    300-m-long platform in 20 seconds. Find the time taken

    by the second train to cross the first, if the first train is

    stationary.

    (A) 20 seconds (B) 15 seconds

    (C) 10 seconds (D) 30 seconds

    115. A man rows a distance of 6 kilometres in 45 minutes

    with the help of the tide. When the direction of the

    tide reverses he travels another 16 km in 4 hours. How

    many hours would he have saved, had the direction

    of the tide not changed?

    (A) 4 hours (B) hours2

    11

    (C) 2 hours (D) hours3

    22

    116. Tap P can fill a tank in 20 hours and Tap Q can fill the

    same tank in 30 hours. Both taps were opened

    simultaneously at 6 am and after some time Q wasclosed. If the tank got filled at 9 pm, at what time was

    Q closed?

    (A) 6 pm (B) 12 : 30 pm

    (C) 7 : 30 pm (D) 1 : 30 pm

    117. A barrel contains 300 litres of pure wine. From this, 30

    litres of wine is replaced with water and the process is

    repeated two more times. Find the concentration of

    wine in the resultant solution.

    (A) 90% (B) 70% (C) 63.9% (D) 72.9%

    118. A sum is invested for thr ee years at compound

    interests of 8%, 10% and 20% respectively. Find the

    sum if at the end of three years, it becomes`14256.(A) `5000 (B) `9000

    (C) `8000 (D) `10000

    119. An article marked at `840 is sold at `588 at a loss of

    2%. By what per cent above the CP was it marked?

    (A) 20% (B) 40%

    (C) 60% (D) 50%

    120. Out of total complaints received by the municipal

    corporation, 63% of the households lack water supply,

    which is 14% of the households under the municipal

    corporation. The households only under the municipal

    corporation can lodge complaints. If the total number

    of complaints is 1200000, what is the total number of

    households under that muncipal corporation?(A) 3600000 (B) 2540000

    (C) 1360000 (D) 5400000

    121. Find the value of (a + b + c), if a3+ b3+ c3= 99,

    (a2+ b2+ c2 ab bc ac) = 3 and abc = 24.

    (A) 1 (B) 9

    (C) 24 (D) 3

    122. Find the least number which when divided by 12, 18

    and 33 leaves a remainder of 5 in each case.

    (A) 295 (B) 396

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    (C) 300 (D) 401

    123. A rectangular piece of paper is 71 cm long and 10 cm

    wide. A cylinder is formed by rolling the paper along

    its breadth. Find the volume of the cylinder.

    (Take = 113

    355

    )(A) 465 cm3 (B) 565 cm3 (C) 365 cm3 (D) 685 cm3

    124. The ratio of the ages of four members of a family is 9 :

    8 : 3 : 2. The average age of the family is 22 years.

    What is the age of the second youngest person of the

    family?

    (A) 3 years (B) 12 years

    (C) 24 years (D) 10 years

    125. ?3

    11f

    4

    31

    3

    12

    2

    110

    7

    1

    2

    11

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

    126. Simplify 1211

    4326

    813

    431

    (A) 0 (B) 1 (C) 2 (D) 4

    127. The HCF and LCM of two numbers are 21 and 4641

    respectively. If one of the numbers lies between 200

    and 300, then the two numbers are?

    (A) 273, 357 (B) 273, 361

    (C) 273, 359 (D) 273, 363

    128. Find the LCM of 16x 4x2and x2+ x 6.

    (A) 4(x2 4) (x + 3) (B) 6(x2 4) (x + 4)

    (C) 8(x2 6) (x + 3) (D) (x2 4) (x 3)

    129. What is the sum of all even numbers up to 300?

    (A) 22000 (B) 22500(C) 22650 (D) 22750

    130. A dealer professes to sell his goods at cost price but

    uses a false weight and thus gains %9

    111 for a kg.

    What is the weight used by him?

    (A) 960 gm (B) 940 gm

    (C) 900 gm (D) 990 gm

    131. I gave `5000 as loan to my landlord who promised to

    pay me interest thereon at 12% per annum. How much

    does he owe me after one year, if he makes the

    deduction of six months rent at `200 per month?

    (A) `4000 (B) `4200(C) `4400 (D) `4600

    132. The compound interest on a sum of money for 3 years

    at 5% per annum is `252.20. What is the simple

    interest?

    (A) `220 (B) `230

    (C) `240 (D) `200

    133. A reduction of 10% in the price of mangoes enables a

    man to buy 20 more mangoes for `27. What is the

    reduced price per dozen?

    (A) `1 (B) `1.62 (C) `2 (D) `2.65

    134. Two pipes A and B can fill a cistern in 12 hours and 15

    hours respectively. Both are opened together, but at

    the end of 3 hours the first pipe is turned off. How

    much longer will the cistern take to be filled?

    (A) hours217 (B) hours

    218

    (C) hours4

    18 (D) hours

    4

    16

    135. If cosec = ...333 find the value of sin .

    (A) 1 (B) 0

    (C)3

    1(D) Cant be determined

    136. Find the value of cos20 + cos23+ cos26... cos290.

    (A) 15 (B) 15.5

    (C) 16 (D) 16.5137. If tanA + cotA = 2, what is the value of tan4A + cot4A?

    (A) 2 (B) 16

    (C) 0 (D) 4

    138. Rahul purchased a bicycle for `5200 and spent `600

    on its repairs. He sold it for `5600. Find his profit or

    loss percentage.

    (A) %29

    134 (B) %

    29

    33

    (C) %29

    133 (D) %

    29

    135

    139. The incomes of Suresh and Ramesh are in the ratio of7 : 2 and their expenditure is in the ratio of 4 : 1. If each

    of them saves `1000, find the expenditure of Suresh.

    (A) `20000 (B) `5000

    (C) `12000 (D) `10000

    140. If sec 4A = cosec (A 20), where 4A is an acute angle,

    find the value of A.

    (A) 44 (B) 22 (C) 18 (D) 45

    141. Evaluate51cos

    39sin + 2tan11.tan31.tan45.tan59.

    tan79 3(sin221 + sin269)

    (A)21 (B)

    21 (C)

    23 (D) 0

    142. If cot

    =8

    7, then find the value of

    )cos1)(cos1(

    )sin1)(sin1(

    (A)112

    58(B)

    64

    49(C)

    13

    69(D)

    13

    64

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    143. Evaluate sin .cos )90sec(

    cos)90cos(.sin

    )90(osecc

    sin)90sin(.cos

    (A) 1 (B)2

    1(C) 0 (D)

    2

    1

    144. If tan (A + B) = 3 , and tan (A B) = 3

    1and

    0 < A + B < 90, find A and B respectively.

    (A) 60, 30 (B) 45, 45

    (C) 45, 15 (D) 50, 20

    145. 9sec2A 9tan2A = ?

    (A) 1 (B) 9 (C) 8 (D) 0

    Directions (146-150): Study the following pie-chart

    carefully and answer the given questions.The pie-chart shows the investment of a person in

    different sectors out of `50000.

    Real

    Estate

    22%

    Banks

    7%Pension

    Plan

    18%

    NSC

    15%PP F

    10%

    Shares

    28%

    146. The persons investment in NSC is what per cent more

    than that in PPF?

    (A) 5% (B) 25% (C) 30% (D) 50%

    147. How much does the invest in Real Estate?

    (A) `10000 (B) 11000

    (C)`15000 (D) 18000

    148. What is his average investment in Banks and Pension

    Plan?

    (A) `6500 (B) `4000

    (C) `6250 (D) `5500

    149. Investment in Shares is what per cent more than that

    in Banks?(A) 200% (B) 250%

    (C) 150% (D) 300%

    150. What is the average investment in Shares, PPF and

    NSC?

    (A) `8000 (B) `7999.9

    (C) `9129.5 (D) `7833.3

    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. Design specialists refers to the sink, cooking range

    (A)

    and refrigerator as the Kitchen Triangle, an area of

    (B)

    significant movement that requires careful planning

    (C)

    and unobstructed ingress. No error

    (D)

    152. Ever since the Delhi Jal Board was constituted in 1998,

    (A)

    Delhi has had a system of telescopic pricing for water.

    (B) (C)

    No error (D)

    153. I had better died than live in disgrace. No error

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

    154. The loss of international credibility is just one of the

    (A) (B)

    worry for Sheikh Hasina. No error

    (C) (D)

    155. Every organisation needs to be proactive in devised

    (A) (B)

    strategies to ensure the retention of staff. No error

    (C) (D)

    Directions: In question nos. 156 to 160 sentences

    are given with blanks to be filled in with an appropriateword(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. Natural resources must not be given away to private

    companies in general and to foreigners in ________.

    (A) special (B) particular

    (C) honour (D) excess

    157. Any decision on a project should be taken fast ,

    ________ in approval or otherwise.

    (A) neither (B) if

    (C) however (D) whether

    158. The younger generation seeks a dynamic primeminister who will ________ economic progress in all

    the states of the country.

    (A) turn over (B) call out

    (C) bring about (D) make up

    159. UK documents claiming to show the ex-premier

    Margaret Thatcher sent a British advisor to ________

    the Indian army on Operation Bluestar must be

    investigated in detail.

    (A) counsel (B) groom

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    (C) teach (D) aid

    160. Mr Singh has betrayed civil service etiquette; his

    allegations have only ________ his own dignity.

    (A) underlined (B) undermined

    (C) underscored (D) underhand

    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. Cemetery

    (A) mortar (B) condemnation

    (C) pottery (D) graveyard

    162. Ambient

    (A) surrounding (B) vague

    (C) submissive (D) copious

    163. Impair

    (A) share (B) damage

    (C) divulge (D) immovable

    164. Shrug(A) push (B) languish

    (C) dislike (D) avoid

    165. Effrontery

    (A)shamelessness (B) rejection

    (C) resilience (D) vanity

    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. Precocious

    (A) mature (B) advanced

    (C) unintelligent (D) suspicious

    167. Mount

    (A) soar (B) escalate(C) height (D) descend

    168. Rosy

    (A)depressing (B) rough

    (C) prickly (D) blushing

    169. Inhibit

    (A) obstruct (B) impede

    (C) encourage (D) prohibit

    170. Punctilious

    (A)conscientious (B) careless

    (C) precise (D) particular

    Directions: In question nos. 171 to 175, four

    alternatives are given for the idiom/phrase bold-italicised

    in the sentence. Choose the alternative which bestexpresses the meaning of the idiom/phrase and mark it in

    the Answer Sheet.

    171. Yesterday her mothergave up the ghost.

    (A) met a ghost (B) died

    (C) saw a ghost (D) dreamt of a ghost

    172. Mercedes is a white elephantfor a student.

    (A) useful material (B) necessary item

    (C) costly and useless item(D) luxurious car

    173. Her son left her in the lurch.

    (A) helped her in difficult situation

    (B) provided her medicine

    (C) left her in the church

    (D) abandoned her when she needed help

    174. The Delhi Policeset the baitto arrest the criminal.

    (A) chased the criminal

    (B) announced the reward

    (C) laid the trap

    (D) took a decision

    175. When he was at a Metro Station in New Delhi, heran

    intoan old friend.

    (A) met accidentally (B) remembered

    (C) decided to meet (D) telephoned

    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 fog in Kathmandu do not prevent us from reaching

    the airport by 7:45 am.

    (A) ought not prevent (B) could not prevent

    (C) must not prevent (D) No improvement

    177. In the six-car cavalcade, we was with us one of the

    worlds greatest treasures the FIFA World Cup

    trophy.

    (A) we had with (B) we were with

    (C) we have have (D) No improvement

    178. Without a copy of Aadhar card your application for

    new gas connection is not in process.

    (A) are not able to processed

    (B) has not been processing(C) cannot be processed

    (D) No improvement

    179. Several good books have been published by BSC.

    (A) books are going to published

    (B) books had published

    (C) books are publishing

    (D) No improvement

    180. Manish met his friend on the bus in which he was

    travelled.

    (A) he did travelled (B) he was travelling

    (C) he has to travel (D) No improvement

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

    four alternatives, choose the one which can be substitutedfor the given words/sentence.

    181. Not connected with spiritual or religious matters

    (A) Secular (B) Nondescript

    (C) Moribund (D) Impudent

    182. Speaking very softly or quietly

    (A) Stammer (B) Screech

    (C) Jitter (D) Whisper

    183. Sum of money advanced to a person for a particular

    purpose

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    (A) Loan (B) Imprest

    (C) Aid (D) Gift

    184. Persons, animals or planets that live, grow or are often

    found in a particular place

    (A) Citizen (B) Netizen

    (C) Denizen (D) Pagan

    185. Most important part of something

    (A) Nitty-gritty (B) Rendition

    (C) Connoisseur (D) Quintessence

    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) millionair (B) billionaire

    (C) tycoun (D) lumsum

    187. (A) stubborn (B) unconceiled

    (C) opposit (D) indosility

    188. (A) paroachial (B) parrenthesis(C) outcaste (D) parsonage

    189. (A) inzurious (B) fibrous

    (C) genuin (D) analogus

    190. (A) impregnated (B) predilekson

    (C) accenchuate (D) trumble

    PASSAGE I (Question Nos. 191 to 195)

    The coal situation in India reminds me of the famous

    line, "Water, water, everywhere, but not a drop to drink!"

    India, with estimated coal reserves of 280 billion tonnes, is

    said to be the fifth largest in terms of reserves. Of this, 110

    billion tonnes are "proven" reserves. At our current rate of

    production, just the proven reserves are enough to carry

    on for more than 100 years. But even then, our coalproduction falls short of actual requirements and India

    needs to import coal. So, we have 280 billion tonnes of coal

    reserves, but inadequate availability!

    With demand for electricity greater than supply, the

    Indian economy is on the verge of a power crisis. A principal

    reason for this is inadequate availability of coal. Coal, as a

    fuel, accounts for almost 59% of India's total power

    generation (132 GW of a total 226 GW of electricity output

    is from coal). Coal is also an input for a large number of

    other industries, like iron and steel, cement, fertiliser and

    so on.

    In 2012-13, total domestic demand for coal was 773

    million tonnes while production was 569 million tonnes.The deficit was largely met by imports and almost $16 billion

    worth of coal was imported from Indonesia, Australia and

    South Africa. This has been happening every year and

    such imports are aggravatingthe current account deficit,

    one of the reasons why the rupee has been depreciating

    against the dollar.

    Coal is primarily mined and controlled by Coal India

    (CIL), but the current level of mechanisation at the public

    sector behemoth is inadequate, compromising the

    productivity and efficiency levels and resulting in shortage

    of coal. Thus, the scarcity is absolutely artificial. It is

    difficult to take a call on which route for assigning coal

    blocks is better: allotment or auction. The government of

    India had allotted coal blocks on a project-specific basis,

    but little support was extended to them in terms of enabling

    them to start mining.

    Not being able to start mining effectively leads to

    cancellation of allotment. On the other hand, it has been

    argued that coal being a finite, nonrenewable natural

    resource, auction is a better option. But auction of a key

    raw material like coal is bound to have an inflationary impact

    across the board, be it agriculture, industry or service

    sectors. So, allocation of coal blocks must be dealt with in

    an intelligent manner, keeping in mind the interest of the

    general public.

    191. Why does the author say, Water, water everywhere

    but not a drop to drink!?

    (A) To express his anguish over non-availability ofpure water

    (B) To express his concern over underproduction of

    coal

    (C) To express that India has a vast reserve of poor

    quality of coal

    (D) None of these

    192. Which of the following statements is not true is the

    context of the given passage?

    (A) Our coal production is not enough to meet our

    actual requirement.

    (B) We have 280 bn tonnes of coal reserves.

    (C) Indian economy is on the verge of power crisis

    due to inadequate supply of electricity.(D) Coal is an output of a large number of industries

    like cement, iron and steel, fertiliser and so on.

    193. Which of the following is one of the reasons of Indias

    current account deficit? Give your answer in the

    context of the given passage.

    (A) Indias export is more than its import.

    (B) India has to pay a huge amount for import of coal.

    (C) Export of gold jewellery

    (D) Corruption and inflation

    194. What is the antonym of the word aggravating as

    used in the given passage?

    (A) Alleviating (B) Provoking

    (C) Increasing (D) Waxing195. The auction of coal blocks has inflationary impact on

    (A) Service sector (B) Agriculture

    (C) Industry (D) All the above

    PASSAGE II (Question Nos. 196 to 200)

    Each time the RBI Governor takes the stage to give us

    the latest bad news on the economy and interest rates, the

    air becomes thick with avian metaphors. When a journalist

    said, The policy action is hawkish but the guidance is

    dovish. So is not the guidance anti-inflationary?, he drolly

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    replied: We are neither hawks nor doves but actually owls.

    If figuring out this exchange is giving you a mild

    headache, may be youd like to know more about how

    central bankers came to acquire feathered friends.

    Policymakers are tagged as hawks or doves depending

    on how aggressive they are in dealing with the challenges

    they face. Like the predatory hawk which swoops down

    on its unsuspecting prey, hawkish policymakers like to go

    on the offensive to tackle a problem. They favour the Wild

    West approach shoot and then ask questions.

    Dovish policymakers, on the other hand, are more

    peace-loving an d pr efer coaxing th e enemy int o

    submission. This terminology which originated in the

    military has now found its way into the world of money

    and finance.

    Coming to monetary policy, inflation hawks

    aggressively pursue the goal of keeping inflation in check

    by ruthlessly subduing it with high interest rates (more on

    this later).The doves, on the other hand, have a more benign

    view on inflation. They argue that if you keep rates low,

    companies will borrow more, put up more manufacturing

    units, produce more goods and services. Thus, supply will

    eventually catch up with demand, reducing inflation.

    Its these birds that call the shots when it comes to the

    big macroeconomic decisions that affect a country and its

    people. Lets take the case of the RBI.

    Suppose the RBI is hawkish believes that inflation

    is a worry. What does it do? It promptly increases the repo

    rate, the rate at which banks borrow money from the RBI.

    Banks in turn try recovering this increase in cost from their

    customers in the form of higher loan rates. This workstowards reducing peoples spending people take fewer

    loans and buy fewer homes, cars and other things. As

    consumption falls, it helps soothe prices. Remember the

    textbook definition of inflation: too much money chasing

    too few goods. So, if you cant produce more goods quickly,

    the next best thing to do is to make people buy fewer goods.

    196. How do the dovish policymakers behave with their

    enemies?

    (A) Like the predatory hawks, dovish policymakers

    swoop down on their prey.

    (B) They prefer to persuade their enemies into

    submission.

    (C) They prefer to kill their enemies than to force them

    to surrender.

    (D) They prefer to transform their enemies into their

    friends.

    197. What do the economic terms hawksor dovessignify?

    (A) Hawks are predatory birds while doves are peace-

    loving birds.

    (B) Hawks signify agility while doves signify

    dullness.

    (C) Hawks symbolise cruelty while doves symbolise

    gentleness.

    (D) Hawks or doves signify the aggressiveness of

    the policymakers in dealing with the challenges

    they face.

    198. What do the hawkish policymakers do?

    (A) They try aggressively to keep inflation under

    control.

    (B) They do not take inflation so seriously.(C) They argue that low interest helps borrowers, who

    ultimately produce more goods and eventually

    catch up with demands and thus inflation is

    contained.

    (D) All the above

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

    given passage?

    (A) To contain inflation, RBI increases the repo rate.

    (B) The repo rate is the rate at which RBI lends money

    to banks.

    (C) To compensate the interest burden caused due

    to increase in repo rate, banks charge higher rate

    of interest from loan borrowers.(D) None of these

    200. What is the meaning of the word benign as used in

    the given passage?

    (A) tough (B) stern

    (C) lenient (D) firm

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    KUNDANAnswers1. B; Similarly,

    2.C;

    Similarly,

    3.A; Root is the base of a tree and foundation

    is the base of a house.

    4.C; First and second are synonyms.

    5. A; First refers to the absence of the

    second.

    6.C;

    Similarly,

    7.B;2

    numberrd3numberst1 = 2nd number

    Now,2

    219 =

    2

    30= 15

    Thus, 9 : 15 : 21

    Similarly,2

    164 =

    2

    20= 10

    Thus, 4 : 10 : 16

    8.B; 15 2 + 6 = 36

    Similarly, 23 2 + 6 = 52

    9. C; b

    ccg

    /bcc

    g/b

    ccg/bccg10. C; cabbac/cabbac/cabbac

    11. A; Remaining diseases are caused due to

    deficiency of vitamins but Goitre is caused

    due to the deficiency of iodine.

    12 . C; Rest are metals while Bromine is a

    non-metal.

    13. B; Rest are pairs of odd numbers.

    14.C; Sum of digits in all other options is 8.

    15. A; In all others, 2nd letter 3rd letter

    1st letter in alphabetical order.

    16. C;

    17 . D; The series is a combination of two

    series:

    18.B;

    19.D; 2 + 5 = 7

    Similarly, 4 + 9 = 13

    So, 8 + 1 = 9

    20.C; 115 + 111 = 226

    226 + 111 = 337

    337 + 111 = 448

    448 + 111 = 559

    21.A; Similarly,

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    22.B;

    Similarly,

    So,

    23.C; Bees makes Honey and Honey is called

    Milk. So, the correct answer is Milk.

    24.A; (2 16 18) 5 + 2

    After substituting, we get

    (2 16 + 18) 5 2

    = (32 + 18) 5 2

    = 50 5 2 = 10 2 = 8

    25.C; 8 7 40 8 51

    Then, 8 7 40 8 = 51

    or, 56 5 = 51

    26. C; At 3 : 15 both hands of a watch will

    coincide and as given in the question, if hour

    points towa rds north, the minute hand will

    also point towards north.

    27.A;

    28.D; A

    29.B; 6 + 5 + 1 = 12 3 = 36

    Similarly, 5 + 3 + 4 = 12 5 = 60

    So, 2 + 3 + 7 = 12 7 = 84

    30.C; 2 + 1 = 3, 3 + 1 = 4, 4 + 1 = 5.

    Similarly, the second part of the circle follows

    the rule,

    5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14

    31.B; 3 8 = 24, 8 9 = 72, 9 6 = 54, 6

    3 = 18

    32. A; There is no V in the keyword.33. C; There is no E in the keyword.

    34. B; There is no A in the keyword.

    35. C; 6000 + 84 = 6084 = (78)2

    Hence, 84 is added to the number to make it

    a perfect square.

    36.A;

    37. D;

    38. A; Some blankets are pillows (I) + All

    pil lows are books (A) = I + A = I = Some

    blankets are books conversion Some

    boo ks ar e blanke ts. Hence con clus ion Ifollows.

    Again, Some blankets are pillows

    conversion Some pillows are blank ets.

    Hence conclusion II does not follow.

    39. C; No American is an Indian (E) + No

    Indian is a boy (E) = E + E = No conclusion.

    Hence conclusion I does not follow.

    No Indian is a boy conversion No boy

    is an Indian. Hence conclusion II follows.

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

    45. A 46. D 47. C 48. B

    49. C; ABD, ABH, ABI, ADI, AEH, BCD,

    BCF, BFG, BFH, BGH, BHI, CFH, DEG, GHI.

    Thus, there are 14 triangles.

    50.A; T 03, 10, 56, 68, 78

    E 11, 43, 59, 75, 97

    M 21, 31, 32, 58, 69

    P 12, 40, 55, 96, 99

    TEMP 68, 11, 69, 40

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

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

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

    66. B 67. A 68. D 69. A 70. A

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

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

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

    86. D

    87. D; Meira Kumar

    88. C 89. B 90. A

    91. A 92. C 93. B 94. C 95. A96. D 97. C 98. C 99. A 100. C

    101. D;

    OAB = OBA (radius = equal sides)

    AOB = 180 (45 + 45) = 180 90 = 90

    Now, area of sector =360

    )radius( 2

    =360

    9077

    7

    22 = 38.5 cm2

    Area of OAB

    = sinr2

    1 2= 90sin49

    2

    1=

    2

    49= 24.5

    Area of shaded portion

    = 38.5 24.5 = 14 cm2

    102.D; Area of equilateral triangle

    =22 a3)a2(

    4

    3

    Area of square ACOB

    =2

    )diagonal( 2=

    22

    a82

    a16

    Reqd ratio = 2

    2

    a8

    a3= 3 : 8

    103. D; Now, perimeter of base height =

    LSA (lateral surface area)

    Height =

    38

    342= 9 cm

    104.D; Area of a square inscribed in a circle

    of radius r is 2r2.

    So, the area of square = 2r2= 2 6 6

    = 72 cm2

    105.D; Volume of sphere =3r

    3

    4

    After 50% increase in radius

    Volume of sphere =

    3

    2

    r3

    7

    22

    3

    4

    Percentage increase in volume

    =3

    33

    r3

    4

    r3

    4

    2

    r3

    3

    4

    = 1008

    19 = 237.5%

    106.C; PX = 2PQ = 2 4 = 8 cm

    Now, PX PY = PQ PR

    or, 8 20 = 4 PR

    or, PR = 40 cm

    QR = 40 4 = 36 cm

    107.D; OA and OB are radii.

    OAB = OBA

    Similarly, OCB = OBC

    Now, BOC = 180 60 = 120

    Again, AOB = 180 80 = 100

    Hence, AOC = 100 + 120 = 220

    108.C; ABCD is a square whose side is 4cmSo, AB = AC = CD = BD = 4 cm

    Now, CD : DE = 2 : 5

    So, 2x = 4

    x = 2 cm

    Thus, DE = 5 2 = 10 cm

    Now, a rea of triangle BDE

    = DEBD2

    1 = 104

    2

    1 = 20 cm2

    109.B; OBC = 90

    OAB = OBA

    Now, in OAB,

    OAB + AOB + OBA = 180

    ( OBA = OAB)

    or, OAB + 120 + OAB = 180

    or, 2 OAB = 180 120 = 60

    OAB =2

    60= 30

    Again, ABC = OBC OBA

    (

    OBA = OAB)

    = 90 30 = 60

    110.D; BCD =2

    1

    BCA = 30

    In DBC, BDC = {180 (90 + 30)} = 60

    111. D; Required number of balls

    =

    2223

    4

    111216

    = 63

    112. B; Total surface area = 2(lb+ bh + hl)

    = 2(9 8 + 8 7 + 7 9)

    = 2(72 + 56 + 63)

    = 2(191) = 382m2

    Volume = l b h= 9 8 7

    = 72 7 = 504m2

    113.C; to...)32()32(32 36

    1

    6

    1

    x...

    36

    1

    6

    11

    3232

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    K

    KUNDAN

    where x =r1

    ato...

    36

    1

    6

    11

    5

    6

    6

    11

    1

    Product = 6422)32(65

    6

    55

    6

    114. B; Speed of 1st train = 20 m/s

    Speed of 2nd train = 20 m/s

    Distance = (300 + x)

    Now, 20 =20

    )x300(

    or, x = 100m

    Now, distance = 100 + 200 = 300m

    Speed of the second train = 20 m/s

    T = Speed

    Distance=

    20

    300= 15 seconds

    115. C; Let the speed of the man be M and

    that of the tide be T. Then

    Speed in favourable direction

    (M + T) =45

    606 = 8 kmph

    Speed in unfavourable direction (M T)

    =4

    16 = 4 kmph

    Now, M + T = 8, M T = 4

    So, M = 6 kmph and T = 2 kmph

    Now, favourable time =8

    16= 2 hours

    Hence, he saves (4 2) = 2 hours

    116.D; In 15 hours Tap P can fill

    20

    15=

    4

    3part

    So, Q will fill

    4

    1 part.

    Time taken by Q =4

    30 =

    2

    17 hrs to fill

    4

    1 tank

    So, Q was closed at 6 am + 7 : 30 minutes

    = 1 : 30 pm

    117. D; Reqd concentration

    = 100300

    303003

    = 72.9%

    118. D; Let the sum be x.

    Then,100

    120

    100

    110

    100

    108x = `14256

    x = `10000

    119.B; Loss % = icePrCost

    588icePrCost

    or, icePrCost

    588icePrCost

    100

    2

    or, CP = `600

    Loss = 840 600 = `240

    Reqd % = 100600

    240 = 40%

    120.D; 1200000100

    63 = 756000

    Now, let the total number of households under

    the municipal corporation be x.

    Then, 14% of x = 756000

    or, 100

    x14

    = 756000

    x = 10014

    756000 = 5400000

    121.B; a3+ b3+ c3 3abc

    = (a + b + c) (a2+ b2+ c2 ab bc ca)

    Now, (a + b + c) =3

    24399 = 9

    122. D; LCM of 12, 18, 33 = 396

    Hence, least number = 396 + 5 = 401

    123. B; Circumference of the paper

    = Breadth of the paper

    or, 2

    r = 10

    or, r = 2

    10

    = 3552

    11310

    = 71

    113

    cm

    The length of the paper becomes the height

    of the cylinder.

    Volume of cylinder = r2h

    = 7171

    113

    71

    113

    113

    355 = 565 cm3

    124. B; Let the ages be 2x, 3x, 8x and 9x

    respectively. Then, average age

    =4

    x2x3x8x9

    = 22

    x = 4

    Now, second youngest person of the family

    = 3x = 3 4 = 12 years

    125.B;34of

    47

    37

    221

    71

    23

    =3

    7

    3

    7

    2

    21

    7

    1

    2

    3

    = 12

    21

    7

    1

    2

    3

    12

    61

    2

    3

    2

    3 = 2

    126.B;12

    11

    4

    116

    8

    25

    4

    7

    =12

    226

    8

    25

    4

    7

    = 6

    116

    8

    25

    4

    7

    =6

    25

    8

    25

    4

    7

    =25

    6

    8

    25

    4

    7

    =4

    3

    4

    7=

    4

    4= 1

    127. A; Product of the numbers

    = HCF LCM

    = 21 4641 = 3 7 3 7 13 17

    The numbers can be 3 7 13 = 273

    and 3 7 17 = 357

    128.A; Let p(x) = 16 4x2 = 4(4 x2)

    = 4(2 x) (2 + x) = 4(x 2) (x + 2)

    q(x) = x2 + x 6= x2+ 3x 2x 6

    = x(x + 3) 2(x + 3)

    = (x 2) (x + 3)

    LCM = 4(x 2) (x + 2) (x + 3)

    = 4(x2 4) (x + 3)

    129. C; The number of even numbers up to

    300 = 1502

    300

    Sum of even numbers = n(n + 1)

    = 150(150 + 1)

    = 150 151 = 22650

    130.C; If x is the error

    then, 100

    x1000

    x = %

    9

    111

    or,9

    1

    x1000

    x

    or, 9x = 1000 x

    or, 10x = 1000

    or, x = 100g

    True weight = 1000 100 = 900g

    131.C; Net earning = Interest House rent

    = 20061100

    125000

    600 1200 = 600

    Amount due to me after a year

    = 5000 600 = `4400

    132.C; CI = 1100

    r1P

    n

    = 1100

    51P

    3

    = 120

    21P

    3

    = 18000

    9261P

    =8000

    80009261P

    =8000

    P1261

    Now,8000

    P1261= 252.20

    or, P =1261

    100020.252 = `1600

    So, SI =100

    351600

    100

    trP

    = `24 0

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    K

    KUNDAN

    133.B; Savings on `27 = 27 100

    10= `2.70

    Reduced price of mangoes = 1220

    70.2

    = `1.62

    134. C; Pipe (A + B) fill the cistern together

    in 1 hr =20

    3

    60

    9

    15

    1

    12

    (A + B) fill the cistern in 3 hours

    =20

    93

    20

    3

    Remaining part = 1 20

    9=

    20

    11

    Pipe B can fill the cistern in 15 hours.

    20

    11 part of the cistern can be filled in

    = 4

    1

    84

    33

    20

    11

    15

    hours

    135.C; cosec = to...333

    Squaring both sides

    cosec2 = to...3333

    or, cosec2

    = 3cosec

    or, cosec2 3cosec = 0

    or, cosec (cosec 3) = 0

    Hence, cosec

    = 0

    or, cosec = 3

    sin

    =3

    1

    136.B; (cos20 + cos290) + (cos23 + cos2

    87) + (cos26 + cos284) + ... (cos242 + cos2

    48) + cos245

    = 15 1 +2

    1

    = 15 +2

    1=

    2

    31= 15.5

    137.A; tanA +Atan

    1= 2

    or, tan2A + 1 = 2tanA

    or, tan2A 2tanA + 1 = 0

    or, (tanA 1)2 = 0

    or, tanA = 1 and cotA = 1

    Now, tan4A + cot4A = 1 + 1 = 2138.C; Cost price of the bicycle

    = 5200 + 600 = `5800

    SP = `5600

    Since SP < CP

    Loss = CP SP = 5800 5600 = `200

    Loss % =CP

    100loss =

    5800

    100200

    =29

    100= %

    29

    133

    139.A; We have, a : b = 7 : 2, c : d = 4 : 1 and

    saving (s) = `1000

    Sureshs expenditure =bcad

    )ab(cs

    =

    )4217(

    )72(10004

    = `20000

    140. B; sec4A = cosec(90 4A)

    or, cosec(90 4A) = cosec(A 20)

    or, 90 4A = A 20

    A = 22

    141. D;51cos

    39sin + 2tan11.tan31.tan45.

    tan59.tan79 3(sin2 21 + sin2 69)

    =51cos

    )5190sin( + 2tan11.tan31.tan45.

    tan(90 31).tan(90 11) 3(sin221 +

    sin2 (90 21))

    =

    51cos

    51cos + 2tan11.tan31.tan45.cot31.

    cot11 3(sin221 + cos221)

    = 1 + 2tan11.cot11.tan31.cot31.tan45

    3 1

    = 1 + 2 1 1 1 3 = 0

    142.B; cot =8

    7, so b = 7, p = 8,

    h = 4964bp 22

    = 113

    Now, )cos1)(cos1(

    )sin1)(sin1(

    = 2

    2

    cos

    sin1

    64

    49

    113

    491

    113

    641

    143. C; sin cos )90sec(

    cos)90cos(sin

    )90(cosec

    sin)90sin(.cos

    = sin

    .cos

    eccos

    cossinsin

    sec

    sincos.cos

    = sin

    .cos

    sin3

    .cos

    cos3

    .sin

    = sin

    .cos

    (1 sin2

    cos2

    )

    = sin cos {1 (sin2 + cos2 )}

    = sin

    .cos

    (1 1) = 0

    144.C; tan 60 = 3

    tan 30 =3

    1

    Thus, A + B = 60 ... (i)

    And, A B = 30 ... (ii)

    Equating, we get = A = 45, B = 15

    145.B; 9sec2A 9tan2A =Acos

    Asin9

    Acos

    92

    2

    2

    = 9Acos

    Acos9

    Acos

    )Asin1(9

    2

    2

    2

    2

    146.D; Investment in NSC =100

    1550000

    = `7500

    Investment in PPF =100

    1050000= `5000

    Reqd % = 1005000

    50007500

    = 1005000

    2500 = 50%

    147. B; Investment in Real Estate

    = 100

    2250000

    = `11000

    148.C; Average =2

    100

    5000018

    1000

    500007

    =2

    90003500 =

    2

    12500= `6250

    149. D; Investment in Shares

    =100

    5000028= `14000

    Investment in Banks =100

    500007 = `3500

    Reqd % = 1003500

    10500 = 300% more

    150.B; Average

    =3

    100

    5000015

    100

    5000010

    100

    5000022

    =3

    7500500011000 =

    3

    23500= `7833.3

    151.A; Replace refers with refer

    152. D

    153. A; Replace died with die

    154.B; Replace worry with worries

    155.B; Replace devisedwith devising

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

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

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

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

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

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

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

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

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