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    Question

    The number '24138p' is divisible by 6 but not by 5.

    Determine the result of (p + 11).
    A 12 Correct Answer Incorrect Answer
    B 18 Correct Answer Incorrect Answer
    C 17 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Divisible by 6 ⇒ divisible by 2 and 3.

    Sum of digits = 2 + 4 + 1 + 3 + 8 + p = 18 + p

    We want (18 + p) divisible by 3

    p must be even and ≠ 0 or 5

    Try p = 6 → 18 + 6 = 24

    So, p = 6

    (p + 11) = 6 + 11 = 17

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