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Discussion :: Decimal Fraction

  1. The value of the expression [(0.05)2 + (0.41)2 + (0.073)2]/ [(0.005)2 + (0.041)2 +(0.0073)2] is

    2. A.
    100
    B.
    10
    C.
    1000
    D.
    None of these

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    Answer : Option A

    Explanation :

    The expression is [(0.05)2 + (0.41)2 + (0.073)2]/ [(0.005)2 + (0.041)2 + (0.0073)2]

    Or, [(0.05)2 + (0.41)2 + (0.073)2]/ [(0.05/10)2 + (0.41/10)2 + (0.073/10)2]

    Or, [(0.05)2 + (0.41)2 + (0.073)2]/ [(0.05)2+ (0.41)2 + (0.073)2] *(1/100)

    We know that x/y/100 = x*100/ y

    Similarly, [(0.05)2 + (0.41)2 + (0.073)2] * 100/ [(0.05)22 + (0.41)2 + (0.073)2]

    Now, the numerator and denominator have the same value, so, they will cancel out each other.

    Hence, the value of the expression will be 100.

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