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Discussion :: Decimal Fraction

  1. The value of [2.75*2.75*2.75 - 2.25*2.25*2.25]/[2.75*2.75+2.75*2.25+2.25*2.25] is

    2. A.
    0.30
    B.
    0.50
    C.
    3
    D.
    5

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    Answer : Option B

    Explanation :

    Given expression

    X= [(2.75)3 - (2.25)3]/ [(2.75)2+ 2.75 * 2.25 + (2.25)2]
    We have, a3 - b3 = (a-b) (a2 + ab + b2)

    Therefore, x = [(2.75 - 2.25) {(2.75)2 + 2.75*2.25 + (2.25)2}]/ [(2.75)2 + 2.75 *2.25 + (2.25)2]
    Or, x = 2.75 - 2.25 = 0.50

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