Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-10

  • question_answer
    If 1 1s 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)  \[\frac{5}{12}\]                                 

    B)  \[\frac{7}{23}\]                     

    C)  \[\frac{1}{8}\]                                   

    D)  \[\frac{2}{3}\]                                   

    Correct Answer: C

    Solution :

    Let the numerator and denominator of a fraction are x and y, respectively, According to question \[\frac{x-1}{y}=\frac{1}{3}\Rightarrow 3x=3=y\Rightarrow 3x-y=3\]  ?.(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 \[y=3\] \[\therefore \]  Required fraction             \[=\frac{x-1}{y+5}=\frac{2-1}{3+5}=\frac{1}{8}\]

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