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    Question

    Find the remainder when the number (256n + 105) is

    divided by 16.
    A 11 Correct Answer Incorrect Answer
    B 19 Correct Answer Incorrect Answer
    C 9 Correct Answer Incorrect Answer
    D 27 Correct Answer Incorrect Answer

    Solution

    ATQ,

    256n + 105 = (16 ├Ч 16n) + (16 ├Ч 6) + 9 = 16 ├Ч (16n + 6) + 9 Since 16 ├Ч (16n + 6) is divisible by 16, the remainder is 9.

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