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    Question

    data-sheets-value="{"1":2,"2":"111^16-1 is divisible by "}" data-sheets-userformat="{"2":769,"3":{"1":0},"11":4,"12":0}">111(16 - 1) is divisible by
    A 50 Correct Answer Incorrect Answer
    B 54 Correct Answer Incorrect Answer
    C 56 Correct Answer Incorrect Answer
    D 43 Correct Answer Incorrect Answer

    Solution

    Remember that an-bn is always divisible by a+b when n is even. Hence 11116 -1 means111 16-1 16will be divisible by (111+1) or 112. Hence, by options, we can say that (111 16-1) is divisible by 56.

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