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SSC Sample Paper SSC CGL - Sample Paper-27

  • question_answer
    If 1 is subtracted from the numerator of a fraction it becomes (1/3) and if 5 is added to the denominator the fraction becomes (1/4). Which fraction shall result, if 1 is subtracted from the numerator and 5 is added to the denominator?

    A) 5/12                             

    B) 7/23

    C) 1/8                               

    D) 2/3

    Correct Answer: D

    Solution :

    Let the numerator and denominator of a fraction are x and y respectively, By given condition, \[\frac{x-1}{y}=\frac{1}{3}\] \[\Rightarrow \]   \[3x-1=y\] \[\Rightarrow \]   \[3x-y=3\]                                 ?(i) and       \[\frac{x}{y+5}=\frac{1}{4}\]    \[\Rightarrow \]   \[4x-y=5\]                                 ?(ii) On solving Eqs. (i) and (ii), we get \[x=2\] and \[y=3\] Hence, required fraction\[=\frac{x-1}{y+5}=\frac{2-1}{3+5}=\frac{1}{8}\]


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