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    Question

    Compute the maximum total of (r + s) if ‘6r427s8’ is

    divisible by 12.
    A 23 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 20 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Check divisibility by 4 and 3.

    Last two digits: ‘s8’ ⇒ s = 0, 2, 4, 6, 8

    Maximum s = 8

    Sum = 6 + r + 4 + 2 + 7 + 8 + 8 = 35 + r

    35 + r divisible by 3 → r = 1, 4, 7

    Max r = 7

    Max (r + s) = 7 + 8 = 15

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