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  4. Quantitative Aptitude
  5. Simplification

Railways Quantitative Aptitude Simplification Sample Paper Simplification Sample Test Paper-3

  • question_answer
    Express \[1.272727.....=1.\overline{27}\] in the form \[\frac{p}{q},\]where p and q are integers and \[q\ne 0.\]

    A)  \[\frac{1}{27}\]            

    B)  \[\frac{1}{11}\]

    C)  \[\frac{14}{11}\]                      

    D)  \[\frac{14}{27}\]

    Correct Answer: C

    Solution :

    [c] x = 1.272727 ??.. Since two digits are repeating, we multiply x by 100 to get 100x = 127.2727 ?.. So, 100x = 126 + 1.272727?? = 126 + x Therefore,\[100x-x=126,\] \[\Rightarrow \] \[99x=126\] \[\Rightarrow \] \[x=\frac{126}{99}=\frac{14}{11}\]


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