Question

Is 6000 a perfect cube? If not, then by which smallest natural number should 6000 be divided so that the quotient is a perfect cube?

• A. 5
• B. 6
• C. 8
• D. 60

Answer 1

The correct option is B 6

6000 = $2\times 2\times 2\times 5\times 5\times 5\times 6$
Hence, the factor 6 does not appear in the group of three
So, if we divide the number by 6, then the quotient will be perfect cube.
$\frac{6000}{6}=1000$ which is a perfect cube.