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SSC Sample Paper Mock Test-2 SSC CGL Tear-II Paper-1

  • question_answer
    If 1 is subtracted from the numerator of a fraction 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: C

    Solution :

               
    Let the numerator and denominator of a fraction are x and y, respectively.
    By given condition,\[\frac{x-1}{y}=\frac{1}{3}\]
    \[\Rightarrow \]   \[3x-3=y\]
    \[\Rightarrow \]   \[3x-y=3\]                                 ?(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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