Correct Answer - Option 1 : 5
Calculation:
39744 = 2 × 2 × 2 × 2 ×2 × 2 × 3 × 3 × 3 × 23
39744 should be divided by 23 to make it a perfect cube.
39744 ÷ 23 = 1728
(12)3 = 1728
⇒ 2 + 3 = 5
∴ The sum of digits of least number that should 39744 be divided to get a perfect cube is 5
The correct option is 1 i.e. 5
