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    Question

    If the 4-digit number y29z is exactly divisible by 9,

    what is the least value of (y + z)?
    A 2 Correct Answer Incorrect Answer
    B 1 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 7 Correct Answer Incorrect Answer

    Solution

    ATQ,

    The sum of digits = y+2+9+z = y+z+11

    For divisibility by 9, y + z + 11 should be a multiple of 9.

    The smallest value of y + z that satisfies this condition is 7.

    Thus, least value of (y + z) = 7.

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