Aptitude Question ID : 92800
The least number among $latex \frac{4}{9}, \sqrt{\frac{9}{49}}, 0.\overline{45}&s=1$ and $latex \left ( 0.8 \right )^{2}&s=1$ is :
[A]$latex 0.\overline{45}$
[B]$latex \left ( 0.8 \right )^{2}$
[C]$latex \frac{4}{9}&s=1$
[D]$latex \sqrt{\frac{9}{49}}&s=1$
$latex \mathbf{\sqrt{\frac{9}{49}}}&s=1$
Decimal equivalents :
$latex \frac{4}{9} = 0.\bar4 , &s=1$
$latex \sqrt{\frac{9}{49}} = \frac{3}{7} = 0.43&s=1$
$latex 0.\overline{45}, &s=1$
$latex \left ( 0.8 \right )^{2} = 0.64&s=1$
∴ Least Number is,
$latex = 0.43 = \sqrt{\frac{9}{49}}&s=1$
Hence option [D] is the right answer.