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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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