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    5. Find the remainder when the number (289n + 184) is divided by 17.

    Question

    Find the remainder when the number (289n + 184) is

    divided by 17.
    A 15 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 14 Correct Answer Incorrect Answer
    D 13 Correct Answer Incorrect Answer

    Solution

    289n + 184 = (17 X 17n) + (17 X 10) + 14 = 17 X (17n + 10) + 14
    Since, 17 X (17n + 10) is completely divisible by 17
    So, the remainder will be 14.

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