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9th Class Mathematics Number System and its Operations Question Bank Number System

  • question_answer
    Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

    A) 25 m 20 cm   

    B)        50 m 40 cm

    C) 75 m 60 cm        

    D)        100 m 80 cm

    E)  None of these

    Correct Answer: A

    Solution :

    Explanation Option [a] is correct.
    2 40, 42, 45
    2 20, 21, 45
    2 10, 21, 45
    5 5, 21, 45
    3 1, 21, 9
    3 1, 7, 3
    7 1, 7, 1
    1, 1, 1
    \[\operatorname{L}.C.M=2\times 2\times 2\times 5\times 3\times 3\times 7=2520\] Required distance \[= 2520\div 100=25 m 20 cm\]    


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