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Railways R.R.C. (Hazipur) Solved Paper Held on 1-12-2013

  • question_answer
    A fraction becomes\[\frac{1}{2}\]when it's denominator is increased by 4. The same fraction becomes \[\frac{1}{8}\]when it's numerator is reduced by 5. The fraction is?

    A) \[\frac{8}{12}\]                         

    B) \[\frac{6}{8}\]

    C) \[\frac{3}{5}\]                          

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

    Correct Answer: B

    Solution :

    Let fraction \[=\frac{x}{y}\]then, \[\frac{x}{y+4}=\frac{1}{2}\] \[2x=y+4\] \[2x-y=4\]                                 ? (1) and       \[\frac{x-5}{y}=\frac{1}{8}\] \[8x-40=y\] \[8x-y=40\]                                ? (2) On solving eq. (1) and (2)? x=6 and y=8 Hence, fraction is\[=\frac{6}{8}\]


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