Aptitude Question ID : 94733

Find out the value of
3+\frac{3}{3+\frac{1}{3+\frac{1}{3}}}
[A]\frac{40}{11}
[B]\frac{41}{11}
[C]\frac{43}{11}
[D]\frac{46}{11}

\mathbf{\frac{43}{11}}
Expression = 3+\frac{3}{3+\frac{1}{\frac{9+1}{3}}}
= 3+\frac{3}{3+\frac{3}{10}} = 3+\frac{3}{\frac{30+3}{10}}
= 3+\frac{30}{33} = 3+\frac{10}{11}
= \frac{33+10}{11} = \frac{43}{11}
Hence option [C] is right answer.

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