The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the positive difference between the cubes of these two given numbers.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 5616.
By using the hit-and-trial method
Let the numbers be 18 and 6
Difference = 18 - 6 = 12
(12)3 = 1728
Products = 18 × 6 = 108
Cube of 18 = 183 = 5832
Cube of 6 = 63 = 216
Required difference = 5832 - 216 = 5616