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    Question

    If the 4-digit number p89q is exactly divisible by 9, what

    is the least value of (p + q)?
    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 = p+8+9+q = p+q+17

    For divisibility by 9, p + q + 17 should be a multiple of 9.

    The smallest value of p + q that satisfies this condition is 1.

    Thus, least value of (p + q) = 1..

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