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    Question

    If '48x2y' is a five-digit number which is divisible by 72,

    then find the value of (x - y).
    A -3 Correct Answer Incorrect Answer
    B -2 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 1 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Since, 72 = 9 × 8

    So, the given number must be divisible by both 9 and 8.

    Divisibility by 8:

    Last three digits of the number (x2y) must be divisible by 8.

    For x = 5 and y = 4, the number "524" is divisible by 8.

    Divisibility by 9:

    Sum of the digits (4 + 8 + 5 + 2 + 4 = 23) must be divisible by 9, which it is not.

    Adjusting the values, for x = 3 and y = 6, the number "326" is divisible by both.

    Hence, x = 3, y = 6

    And, x - y = 3 - 6 = -3

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