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    Question

    If the 4-digit number m52n is exactly divisible by 9,

    then what is the least value of (m + n)?
    A 2 Correct Answer Incorrect Answer
    B 1 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

    ATQ,
    For divisibility by 9, the sum of its digits must be a multiple of 9.

    m+5+2+n=m+n+7

    For divisibility by 9, m + n + 7 should be a multiple of 9.

    The smallest value of m + n that satisfies this condition is 2.

    Thus, least value of (m + n) = 2.

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