Question:
Tick (✓) the correct answer
Which of the following numbers is a perfect cube?
(a) 1152
(b) 1331
(c) 2016
(d) 739
Solution:
(a)
$1152=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3=(2)^{3} \times(2)^{3} \times(2 \times 3 \times 3)$
Hence, 1152 is not a perfect cube.
(b) (✓)
$1331=11 \times 11 \times 11=(11)^{3}$
Hence, 1331 is a perfect cube.
(c)
$2016=2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7=(2)^{3} \times 2 \times 2 \times 3 \times 3 \times 7$
Hence, 2016 is not a perfect cube.
(d)
739 is not a perfect cube.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.