Aptitude Question ID : 94733
Find out the value of
$latex 3+\frac{3}{3+\frac{1}{3+\frac{1}{3}}}&s=2$
[A]$latex \frac{40}{11}&s=1$
[B]$latex \frac{41}{11}&s=1$
[C]$latex \frac{43}{11}&s=1$
[D]$latex \frac{46}{11}&s=1$
$latex \mathbf{\frac{43}{11}}&s=1$
$latex Expression = 3+\frac{3}{3+\frac{1}{\frac{9+1}{3}}}&s=2$
$latex = 3+\frac{3}{3+\frac{3}{10}} = 3+\frac{3}{\frac{30+3}{10}}&s=2$
$latex = 3+\frac{30}{33} = 3+\frac{10}{11}&s=1$
$latex = \frac{33+10}{11} = \frac{43}{11}&s=1$
Hence option [C] is right answer.