Question

Which of the following numbers is a perfect cube ?

• A. 1152
• B. 1331
• C. 2016
• D. 739

Answer 1

The correct option is B 1331

$1152=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$
$=2^3\times 2^3\times 3^2$

$1331=11\times 11\times 11=(11{)}^3$

$2016=2\times 2\times 2\times 2\times 2\times 3\times 3\times 7$
$=2^3\times 2^2\times 3^3\times 7$

$739=1\times 739$

We see that among the given numbers, only factors of 1331 can be grouped into triplets. So, 1331 is the perfect cube.