Aptitude Question ID : 94813

The value of
$latex 1+\frac{1}{1+\frac{2}{3+\frac{4}{5}}}&s=2$ is :
[A]$latex \frac{2}{19}&s=1$
[B]$latex \frac{48}{29}&s=1$
[C]$latex \frac{8}{19}&s=1$
[D]$latex \frac{12}{29}&s=1$

$latex \mathbf{\frac{48}{29}}&s=1$
$latex 1+\frac{1}{1+\frac{2}{\frac{15+4}{5}}}&s=2$
$latex = 1+\frac{1}{1+\frac{2\times 5}{19}} = 1+\frac{1}{\frac{19+10}{19}}&s=2$
$latex = 1+\frac{19}{29} = \frac{29+19}{29} = \frac{48}{29}&s=2$
Hence option [B] is right answer.


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