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6th Class Mathematics Playing with Numbers Question Bank Playing with Numbers

  • question_answer
    The least number which when decreased by 9 is exactly divisible by 12, 16, 24 and 48 is _________.

    A)  16

    B)  48

    C)  57

    D)  39

    Correct Answer: C

    Solution :

    The least number which is exactly divisible by 12, 16, 24 and 48 is their LCM.
    2 12, 16, 24, 48
    2 6, 8, 12, 24
    2 3, 4, 6, 12
    2 3, 2, 3, 6
    3 3, 1, 3, 3
    1, 1, 1, 1
    \[\therefore \] \[\text{LCM=2}\times \text{2}\times \text{2}\times \text{2}\times 3\] \[=48\] Now, the required number is 9 more than the LCM = 48 + 9 = 57


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