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    • Question

      data-sheets-value="{"1":2,"2":"What is the remainder when 80^35 is divided by 81?"}" data-sheets-userformat="{"2":769,"3":{"1":0},"11":4,"12":0}">What is the remainder when 8035 is divided by 81?
      A 2 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 3 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer

      Solution

      By remainder theorem , when (a+b)N divided by a, the remainder will be bN.
      8035 when divided by 81.
      Or (81-1)35 when divided by 81.
      Remainder will be (-1)35 or -1.
      Hence remainder will be -1 + 81 = 80.

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