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SSC Sample Paper SSC CGL - Sample Paper-10

  • question_answer
    The least number which when divided by 4, 6, 8 and 9 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is

    A)  144                             

    B)  72

    C)  36                               

    D)  85

    Correct Answer: B

    Solution :

    LCM of 6, 8, 9
    2 4, 6, 8, 9
    2 2, 3, 4, 9
    3 1, 3, 2, 9
    1, 1, 2, 3
    \[\therefore \] LCM \[=2\times 2\times 3\times 2\times 3=72\] \[\therefore \] Required number = 72, Because it is exactly divisible by 4, 6, 8 and 9 and it leaves remainder 7 when divided by 13.


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