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Discussion :: Decimal Fraction

  1. The value of [(0.01)2 + (0.22)2 + (0.333)2]/ [(0.001)2 + (0.022)2 + (0.0333)2] is

    2. A.
    1/10
    B.
    10
    C.
    100
    D.
    1000

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    Answer : Option C

    Explanation :

    We can write the expression as [(0.01) 2 + (0.22) 2 + (0.333) 2]/ [(0.01/10) 2 + (0.22/10) 2 + (0.333/10) 2]
    Or, [(0.01) 2 + (0.22) 2 + (0.333) 2] / [(0.01) 2 + (0.22) 2 + (0.333) 2] * (1/100)
    Or, [(0.01) 2 + (0.22) 2 + (0.333) 2] * 100/ [(0.01) 2 + (0.22) 2 + (0.333) 2]

    Hence, numerator and denominator will cancel each other, and the remaining value will be 100.

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