Aptitude Question ID : 92817

The greatest among the following numbers
$latex (3)^{\frac{1}{3}}, (2)^{\frac{1}{2}}, 1, (6)^{\frac{1}{6}}&s=1$
[A] $latex 1$
[B]$latex (2)^{\frac{1}{2}}&s=1$
[C]$latex (3)^{\frac{1}{3}}&s=1$
[D]$latex (6)^{\frac{1}{6}}&s=1$

$latex \mathbf{(3)^{\frac{1}{3}}}&s=1$
LCM of 3, 2 and 6 = 6
$latex \therefore (3)^{\frac{1}{3}} = (3^{2})^{\frac{1}{6}} = (9)^{\frac{1}{6}}&s=1$
$latex (2)^{\frac{1}{2}} = (2^{3})^{\frac{1}{6}} = (8)^{\frac{1}{6}}&s=1$
$latex (1)^\frac{1}{6} = 1&s=1$
$latex (6)^\frac{1}{6} = (6)^\frac{1}{6}&s=1$
Hence option [C] is the right answer.


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