Number System


  1. The difference of 5.76 and 2.3 is









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    5.76 − 2.3

    = 5 +
    76
    − 2 −
    3
    = 3 +
    76
    1
    999999

    = 3 +
    76 − 33
    = 3 +
    43
    = 3.43
    9999

    Correct Option: D

    5.76 − 2.3

    = 5 +
    76
    − 2 −
    3
    = 3 +
    76
    1
    999999

    = 3 +
    76 − 33
    = 3 +
    43
    = 3.43
    9999


  1. 0.142857 ÷ 0.285714 is equal to









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    0.142857 ÷ 0.285714

    =
    142857
    ÷
    285714
    999999999999

    =
    142857
    =
    1
    2857142

    Correct Option: C

    0.142857 ÷ 0.285714

    =
    142857
    ÷
    285714
    999999999999

    =
    142857
    =
    1
    2857142



  1. Which one of the following numbers is not a square of any natural number ?









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    18225 = 135,
    17956 = 134
    63592 = 252.17
    In a perfect square number 2 never comes at the unit's place.

    Correct Option: C

    18225 = 135,
    17956 = 134
    63592 = 252.17
    In a perfect square number 2 never comes at the unit's place.


  1. If a and b are two distinct natural numbers, which one of the following is true ?









  1. View Hint View Answer Discuss in Forum

    (√a + b)2 = a + b
    (√a + √b)2 = a + b + 2√ab
    Here, a + b < a + b + 2√ab
    Clearly, √a + b < √a + √b

    Correct Option: C

    (√a + b)2 = a + b
    (√a + √b)2 = a + b + 2√ab
    Here, a + b < a + b + 2√ab
    Clearly, √a + b < √a + √b



  1. Given that
    3.718 =
    1
    ; then
    1
    0.26890. 0003718

    is equal to









  1. View Hint View Answer Discuss in Forum

    3.718 =
    1
    (Given)
    0.2689

    ∴ 
    1
    =
    10000
    0.00037183.718

    = 0.2689 ×10000 = 2689

    Correct Option: A

    3.718 =
    1
    (Given)
    0.2689

    ∴ 
    1
    =
    10000
    0.00037183.718

    = 0.2689 ×10000 = 2689