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10th Class Mathematics Real Numbers Question Bank Case Based (MCQs) - Real Numbers

  • question_answer
    Direction: Q. 26 to 30
    In a morning walk, Naveeka, Arjun and Vedant step off together, their steps measuring 240 cm, 90 cm, 120 cm respectively. They want to go for a juice shop for a health issue, which is situated near by them.    
     
    Read the above paragraph and answer the following questions.
    Find the minimum distance of shop from where they start to walk together, so that one can cover the distance in complete steps?

    A) 720 cm

    B) 700 cm  

    C) 620 cm

    D) 740 cm    

    Correct Answer: A

    Solution :

    Sol.     Minimum required distance to reach the juice shop \[=LCM\,(240,90,120)\]
    \[\therefore \,\,\,\,\,\,\,\,\,240=2\times 2\times 2\times 2\times 3\times 5\]
                            \[90=2\times 3\times 3\times 5\]
    and      \[120=2\times 2\times 2\times 3\times 5\]
    Now, \[LCM={{2}^{4}}\times {{3}^{2}}\times 5=16\times 9\times 5=720\]
    Hence, required distance is\[\text{72}0\text{ cm}\].
    So, option [a] is correct.                                  


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