A) 1
B) ½
C) 3
D) 7/11
Correct Answer: C
Solution :
Given that, \[1+\frac{1}{\left\{ 1+\frac{1}{1+\frac{1}{x}} \right\}}=\frac{11}{7}\] \[\Rightarrow \] \[1+\frac{1}{\left( 1+\frac{x}{x+1} \right)}=\frac{11}{7}\] \[\Rightarrow \] \[1+\frac{1+x}{2x+1}=\frac{11}{7}\] \[\Rightarrow \] \[\frac{1+2x+1+x}{1+2x}=\frac{11}{7}\] \[\Rightarrow \] \[\frac{2+3x}{1+2x}=\frac{11}{7}\] \[\Rightarrow \] \[14+21x=11+22x\] \[\therefore \] \[x=14-11=3\]You need to login to perform this action.
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