10 is related to 99 following a certain logic. Following the same logic, 14 is related to 195. To which of the following is 22 related, 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: D
Explanation
The correct answer is option 4 i.e. 483.
10 is related to 99 → (10 - 1) × (10 + 1) = 99
14 is related to 195 → (14 - 1) × (14 + 1) = 195
Similarly, 22 is related → (22 - 1) × (22 + 1) = 483