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    Which least number when divided by 12, 15, 20 and 54 leaves a remainder 8 in each case?
    Question

    Which least number when divided by 12, 15, 20 and 54 leaves a remainder 8 in each case?

    A.

    540

    B.

    548

    C.

    556

    D.

    532

    Correct option is B

    Given
    ​A number when divided by 12, 15, 20, 54 leaves a remainder of 8 in each case.
    Concept Used
    A number N that leaves the same remainder R when divided by multiple divisors is of the form:
    N = LCM of the divisors + R
    Solution:
    L.C.M of 12, 15, 20, 54 = 540
    So, least number will be = 540 + 8 =548
    Thus, 548 is the least number when divided by 12, 15, 20, 54 leaves 8 as a remainder.

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