Simplification


  1. 3
    72.9
      is equal to :
    0.4096









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    3
    72.9
    = 3
    729000
    0.40964096

    3
    (90)3
    =
    90
    (16)316

    =
    45
    = 5.625
    8

    Correct Option: B

    3
    72.9
    = 3
    729000
    0.40964096

    3
    (90)3
    =
    90
    (16)316

    =
    45
    = 5.625
    8


  1. 38
    ÷
    100
    ×3125   is equal to :
    1649









  1. View Hint View Answer Discuss in Forum

    On simplification,

    Expression =
    2
    ×
    7
    × 5
    410

    =
    7
    = 1
    3
    44

    Correct Option: B

    On simplification,

    Expression =
    2
    ×
    7
    × 5
    410

    =
    7
    = 1
    3
    44



  1. The sum of the cubes of the numbers 22, –15 and –7 is equal to









  1. View Hint View Answer Discuss in Forum

    Here, 22 – 15 – 7 = 0
    We know that
    a3 + b3 + c3 = 3abc,
    if a + b + c = 0
    ∴  (22)3 + (–15)3 + (–7)3
    = 3 × 22 × (–15) (–7) = 6930

    Correct Option: A

    Here, 22 – 15 – 7 = 0
    We know that
    a3 + b3 + c3 = 3abc,
    if a + b + c = 0
    ∴  (22)3 + (–15)3 + (–7)3
    = 3 × 22 × (–15) (–7) = 6930


  1. The least number to be subtracted from 16800 to make it a perfect square is









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    ∴  Required number = 159
    16800 – 159 = 16641
    and √16641 = 129

    Correct Option: C


    ∴  Required number = 159
    16800 – 159 = 16641
    and √16641 = 129



  1. A General of an Army wants to create a formation of square from 36562 army men. After arrangement, he found some army men remained unused. Then the number of such army men remained unused was









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    Let’s find the square root of 36562.

    Clearly, the remaining army men = 81

    Correct Option: C

    Let’s find the square root of 36562.

    Clearly, the remaining army men = 81