Simplification

Simplification

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Simplification
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Aptitude miscellaneous
  1. The number of perfect square numbers between 50 and 1000 is








  1. View Hint View Answer Discuss in Forum

    Perfect square numbers between 50 and 1000 start from 64 to 961 i.e., (8)2 to (31)2
    ∴  The required number
    = (31 – 8) + 1 = 24

    Correct Option: D

    Perfect square numbers between 50 and 1000 start from 64 to 961 i.e., (8)2 to (31)2
    ∴  The required number
    = (31 – 8) + 1 = 24

  1. Which smallest number must be added to 2203 so that we get a perfect square ?








  1. View Hint View Answer Discuss in Forum

    47 × 47 = 2209
    Clearly, 6 should be added to 2203 to get a perfect square.

    Correct Option: C

    47 × 47 = 2209
    Clearly, 6 should be added to 2203 to get a perfect square.

  1. The smallest positive integer, when multiplied by 392, the product is a perfect square, is








  1. View Hint View Answer Discuss in Forum

    392 = 2 × 2 × 2 × 7 × 7
    = 22 × 72 × 2
    Clearly, when 392 is multiplied by 2, the product is a perfect square.

    Correct Option: D

    392 = 2 × 2 × 2 × 7 × 7
    = 22 × 72 × 2
    Clearly, when 392 is multiplied by 2, the product is a perfect square.

  1. The smallest number added to 680621 to make the sum a perfect square is :








  1. View Hint View Answer Discuss in Forum


    ∴  (824)2 < 680621 < (825)2
    ∴  Required number
    = [(825)2 – 680621] = 4

    Correct Option: A


    ∴  (824)2 < 680621 < (825)2
    ∴  Required number
    = [(825)2 – 680621] = 4

  1. The smallest 4-digit number, which is a perfect square, is








  1. View Hint View Answer Discuss in Forum

    The smallest 4-digit number = 1000
    The smallest 4 digit perfect
    square number = 210 = 1024

    Correct Option: C

    The smallest 4-digit number = 1000
    The smallest 4 digit perfect
    square number = 210 = 1024