35 is related to 48 following a certain logic. Following the same logic, 15 is related to 24. Which of the following is 80 related to, following 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: C
Explanation
The correct answer is option 3 i.e. 99.
Logic: First number = (X2- 1), Second number = (X + 1)2 - 1
35 is related to 48 → (62 - 1) = 35, (6 + 1)2 - 1 = 48
15 is related to 24 → (42 - 1) = 16, (5 + 1)2 - 1 = 24
Similarly, 80 is related to → (92 - 1) = 80, (9 + 1)2 - 1 = 99