Question

    If the number 783x426y is divisible by 72, what is the

    value of (3x + y)?
    A 20 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 28 Correct Answer Incorrect Answer
    D 14 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Divisibility by 8: Last 3 digits = 26y must be divisible by 8.

    Try y = 4 → 264 ÷ 8 = 33 ✅

    Check divisibility by 9:

    Sum = 7 + 8 + 3 + x + 4 + 2 + 6 + 4 = (34 + x) should be divisible by 9.

    x = 8 → 42 ✅

    Required value = (3 × 8 + 4) = (24 + 4) = 28

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