Question

Which of the following numbers is a perfect cube ?
(a) 1152 (b) 1331
(c) 2016 (d) 739

Answer 1

$1152=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$
= $2^3\times 2^3\times 3^2$
$1331=11\times 11\times 11=(11{)}^3$
$2016=2\times 2\times 2\times 2\times 2\times 3\times 3\times 7$
= $2^3\times 2\times 2\times 3\times 3\times 7739=1\times 739$
We see that 1331 is the perfect cube