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CLAT Sample Paper CLAT Sample Paper-7

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

    A)  1

    B)  ½

    C)  3

    D)  7/11

    Correct Answer: C

    Solution :

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


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