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    Question

    Find the largest three-digit number that leaves '3', '4'

    and '5' as remainder when it is divided by '7', '8' and '9', respectively.
    A 496 Correct Answer Incorrect Answer
    B 512 Correct Answer Incorrect Answer
    C 500 Correct Answer Incorrect Answer
    D 992 Correct Answer Incorrect Answer

    Solution

    LCM (7, 8 and 9) = 504 We can see that in all three cases the remainder is 4 less than the number. So, required number = 504 - 4 = 500

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