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

  • question_answer
    The number \[x=1.242424....\]can be expressed in the form \[x=\frac{p}{q},\]where p and q q are positive integers having no common factors. Then p + q equals ____.

    A)  72                               

    B)  74       

    C)  41                   

    D)         53       

    Correct Answer: B

    Solution :

    We have, \[x=1.2424.....\] \[\Rightarrow \]\[100x=124.2424.......\]                 ?(i) Subtracting (i) from (ii), we get                  ?(ii) \[100x-x=123\] \[\Rightarrow \]\[99x=123\Rightarrow x=\frac{123}{99}=\frac{41}{33}\] \[\therefore \]\[p=41,q=33\] and \[p+q=41+33=74\]


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