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SSC Sample Paper SSC CGL - Sample Paper-5

  • question_answer
    What is the value of x in\[1+\left\{ \frac{1}{\left( 1+\frac{1}{x} \right)} \right\}=\frac{11}{7}?\]

    A)  1                                

    B)  \[\frac{1}{2}\]

    C)  3                    

    D)  \[\frac{7}{11}\]

    Correct Answer: C

    Solution :

    Given that, \[1+\frac{1}{1\left\{ \frac{1}{\left( x+\frac{1}{x} \right)} \right\}}=\frac{11}{7}\] Or         \[1+\frac{1}{\left\{ 1+\frac{x}{1+x} \right\}}=\frac{11}{7}\] Or         \[1+\frac{1+x}{1+2x}=\frac{11}{7}\] Or         \[\frac{1+2x+1+x}{1+2x}=\frac{11}{7}\] Or         \[\frac{2+3x}{1+2x}=\frac{11}{7}\] Or         \[14+21x=11+22x\] Or         \[x=14-11=3\]  


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