Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-20

  • question_answer
    If \[\frac{2x+1}{5x}=\frac{6x-2}{9x+2}\] the value of x will be

    A)  2                    

    B)  \[-\,\,\frac{1}{12}\]

    C)  Both [a] and [b]

    D)  None of the above

    Correct Answer: C

    Solution :

    \[\frac{2x+1}{5x}=\frac{6x-2}{9x-2}\] \[\Rightarrow \]   \[(2x+1)(9x+2)=(6x-2)(5x)\] \[\Rightarrow \]   \[18{{x}^{2}}+9x+4x+2\] \[=30{{x}^{2}}-10x\] \[\Rightarrow \]   \[12{{x}^{2}}-23-2\] \[\Rightarrow \]   \[12{{x}^{2}}-24x+x-2\] \[\Rightarrow \]   \[12x(x-2)+1(x-2)\] \[\Rightarrow \]   \[(12x+1)(x-2)\,\,\,\therefore x=2\,\,\text{or}-\frac{1}{12}\]


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