Question

    Find the remainder when the number (289n + 147) is divided by 17.

    A 7 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 13 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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