16 is related to 176 following a certain logic. Following the same logic, 21 is related to 231. To which of the following is 33 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: C
Explanation
The correct answer is option 3 i.e. 363.
16 is related to 176 → 16 × 9 + 16 × 2 = 144 + 32 = 176
21 is related to 231 → 21 × 9 + 21 × 2 = 189 + 42 = 231
Similarly, 33 is related to: → 33 × 9 + 33 × 2 = 297 + 66 = 363