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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
Question

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.)

A.

11

B.

12

C.

10

D.

9

Correct option is A

Given: 
4 is related to 125
8 is related to 729
→ 1728
Logic: Second number = (First number + 1)3
4 → 125
4+1)3= 53=125
8 → 729
(8+1)3= 93= 729
? → 1728
(?+1)3= 1728
Since 1728=123
? + 1 = 12
? = 12 -1
? = 11

Thus, correct option is (a).

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