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

  • question_answer
    Three boys steps off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm, respectively. What is the minimum distance each should cover so that all can cover distanced complete steps?

    A)  6930cm

    B)  6000cm

    C)  7000cm

    D)  6520cm

    Correct Answer: A

    Solution :

    The minimum distance all boys should cover is the LCM of 63 cm, 70 cm and 77 cm.
    2 63, 70, 77
    3 63, 35, 77
    3 21, 35, 77
    5 7, 35, 77
    7 7, 7, 77
    11 1, 1, 11
    1, 1, 1
    \[\therefore \text{LCM=2}\times \text{3}\times \text{3}\times \text{5}\times \text{7}\times \text{11=6930}\] So, 6930 cm is the minimum distance each should cover so that all can cover distance in complete steps.


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