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    Question

    Find the remainder when the number (289n + 133) is divided

    by 17.
    A 15 Correct Answer Incorrect Answer
    B 14 Correct Answer Incorrect Answer
    C 1 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer

    Solution

    289n + 133 = (17 X 17n) + (17 X 7) + 14 = 17 X (17n + 11) + 14
    Since, 17 X (17n + 7) is completely divisible by 17
    So, the remainder will be 14.

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