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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 means 111 16-1 16 will 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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