Question

If 504 + P is a perfect cube number, whose cube root is P, then P = _________ .

• A. 8
• B. 2
• C. 6
• D. 4

Answer 1

The correct option is A 8

Given, 504 + P is a perfect cube number.
Perfect cube number nearest to 504 is 512.

512 - 504 = 8

So, we need to add 8 to make 504 a perfect cube.

Also, $\sqrt[3]{3512}=8$

$\therefore$ P = 8

$\because$ 504 + P = 504 + 8 = 512 is a perfect cube with cube root 8.