61 is related to 18 following a certain logic. Following the same logic, 213 is related to 38. To which of the following is 509 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 /deleting /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: A
Explanation
The correct answer is option 1 i.e. 66.
61 is related to 18 → 43 - 3 = 64 - 3 = 61; 42 + 2 = 16 + 2 = 18
213 is related to 38 → 63 - 3 = 216 - 3 = 213; 62 + 2 = 36 + 2 = 38
Similarly, 509 is related to: → 83 - 3 = 512 - 3 = 509; 82 + 2 = 64 + 2 = 66