4 is related to 125 following a certain logic. Following the same logic, 8 is related to 729. Which of the following numbers is related to 1728 using the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 11.
4 is related to 125 → (4 + 1)3 = 53 = 125
8 is related to 729 → (8 + 1)3 = 93 = 729
Similarly, 11 is related to 1728 → (11 + 1)3 = 123 = 1728