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    Question

    What will be the remainder which 5382 + 53 is

    divided by 54?
    A 2 Correct Answer Incorrect Answer
    C 51 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer

    Solution

    (53)82 + 53 = 53[(53)81 + 1] Clearly (an + 1) is always divisible by (a + 1) which n is odd. So (53)81 + 1 is divisible by (53 + 1) 54, Thus remainder is zero.

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