SSC CGL 2023 PYQ — Question 75

SSC CGL - 18 July 2023 - Shift 1 • Quantitative Aptitude • Q75

The cube of the difference between two given narural numbers is 1728, while the product of these two given numbers is 108. Find the sum of the cubes of these two given numbers.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 6048.

By using hit and trial method

Let the numbers be 18 and 6

Difference = 18 - 6 = 12

(12)3 = 1728

Products = 18 × 6 = 108

The sum of the cube of these natural numbers = (18)3 + 63 = 5832 + 216 = 6048