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    Question

    If the 4-digit number r76s is exactly divisible by 9,

    what is the least value of (r + s)?
    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,

    The sum of digits = r+7+6+s=r+s+13

    For divisibility by 9, r + s + 13 should be a multiple of 9.

    The smallest value of r + s that satisfies this condition is 5.

    Thus, least value of (r + s) = 5.

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