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Railways Sample Paper RRB (Assistant Loco Pilot & Technician) Sample Test Paper-1

  • question_answer
    Divide 50 into two parts so that the sum of their reciprocals is \[\frac{1}{12}\]

    A)  10                   

    B)  18

    C)  15                   

    D)  None of these

    Correct Answer: D

    Solution :

     Let the numbers be x and \[(50-x).\] Then, \[\frac{1}{x}+\frac{1}{50x}=\frac{1}{12}\Rightarrow \frac{50\,\,\,x+x}{x(50\,\,\,x)}=\frac{1}{12}\] \[\Rightarrow {{x}^{2}}-50x+600=0\] \[\Rightarrow x=30\] or 20 \[\therefore \]The Number are 20, 30.


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