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    Question

    If the 4-digit number a34b is exactly divisible by 9, what

    is the least value of (a + b)?
    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 = a+3+4+b = a+b+7

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

    The smallest value of a + b that satisfies this condition is 2.

    Thus, least value of (a + b) = 2.

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