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SSC Quantitative Aptitude Number System and its Operations Question Bank Numbers and Their Principles (II)

  • question_answer
    The denominator of a rational number is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The rational number is

    A) \[\frac{1}{4}\]

    B) \[\frac{7}{10}\]

    C) \[\frac{8}{11}\]

    D) \[\frac{5}{8}\]

    Correct Answer: D

    Solution :

    [d] Let numerator be x. Then, denominator \[=(x+3)\] \[\frac{x+7}{(x+3)-2}=2\]\[\Rightarrow \]\[(x+7)=2\,\,(x+1)\] \[\therefore \]      \[x=5\] \[\therefore \] Numerator \[=5\] and Denominator \[=(5+3)=8\] Hence, fraction \[=\frac{5}{8}\]


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