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SSC Sample Paper SSC CGL - Sample Paper-23

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

    A) 1                                 

    B) 3

    C) \[\frac{1}{2}\]                          

    D) \[\frac{7}{11}\]

    Correct Answer: B

    Solution :

    Given that, \[1+\frac{1}{1+\left\{ \frac{1}{1+\left( \frac{1}{x} \right)} \right\}}=\frac{1}{17}\] \[\Rightarrow \]   \[1+\frac{1}{\left\{ 1+\frac{1}{1+x} \right\}}=\frac{11}{7}\]      \[\Rightarrow \]   \[1+\frac{1+x}{1+2x}=\frac{11}{7}\] \[\Rightarrow \]   \[\frac{1+2x+1+x}{1+2x}=\frac{11}{7}\]         \[\Rightarrow \]   \[\frac{2+3x}{1+2x}=\frac{11}{7}\] \[\Rightarrow \]   \[14+21x=11+22x\] \[x=3\]


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