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    Question

    If the 8-digit number 617x849y is divisible by 72, then

    find the value of (6x - y).
    A 20 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 14 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Divisibility by 8: Last 3 digits = 49y should be divisible by 8.

    Try y = 6 → 496 ÷ 8 = 62 ✅

    Now check divisibility by 9:

    Sum = 6 + 1 + 7 + x + 8 + 4 + 9 + 6 = (41 + x) should be divisible by 9.

    x = 4 → 45 ✅

    Required value = (6 × 4 - 6) = (24 - 6) = 18

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