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    (47)25−1(47)^{25}-1(47)25−1​ is exactly divisible by:
    Question

    (47)251(47)^{25}-1​ is exactly divisible by:

    A.

    24

    B.

    21

    C.

    23

    D.

    19

    Correct option is C

    Given:

    (47)251(47)^{25} - 1​​

    Concept Used:

    ana^n - ​1 is divisible by a - 1

    Solution:

    (47)25(47)^{25} - ​1 is divisible by 47 - 1 = 46

    (47)25(47)^{25} - ​1 is also divisible by 23.

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