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    Question

    If x = 99, then the value of x5 -

    100x4 + 100x3 - 100x2 + 100x - 1 is
    A 50 Correct Answer Incorrect Answer
    B 100 Correct Answer Incorrect Answer
    C 99 Correct Answer Incorrect Answer
    D 98 Correct Answer Incorrect Answer

    Solution

    Given expression :  x 5 - 100 x 4 + 100 x 3 - 100 x 2 + 100 x - 1 = x5 - 99x 4 - x4 + 99 x 3 + x3 - 99 x2 - x2 + 99 x + x - 1 = x5 -x5 -x4 + x4 +x3-x3-x2+x2+99 -1 [given that x = 99 ] = 99-1 = 98

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