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    Question

    Find the remainder when the number (289n + 147) is

    divided by 17.
    A 13 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    289n + 147 = (17 X 17n) + (17 X 8) + 11= 17 X (17n + 8) + 11

    Since, 17 X (17n + 8) is completely divisible by 17

    So, the remainder will be 11.

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