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    Question

    Find the smallest integer that must be subtracted from

    653, so that it is divisible by both 23 and 27.
    A 32 Correct Answer Incorrect Answer
    B 24 Correct Answer Incorrect Answer
    C 36 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer

    Solution

    LCM (23 and 27) = 621 So, smallest integer that is divisible by both 23 and 27 is 621 So, required number = 653 - 621 = 32

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