16 is related to 30 following a certain logic. Following the same logic, 81 is related to 110. To which of the following is 49 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their 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: C
Explanation
The correct answer is option 3 i.e. 72.
16 is related to 30 ⇒ 16 = (4)2; (4 + 1)2 + (4 + 1) = 25 + 5 = 30
81 is related to 110 ⇒ 81 = (9)2; (9 + 1)2 + (9 + 1) = 100 + 10 = 110
Similarly, 49 is related to ⇒ 49 = (7)2; (7 + 1)2 + (7 + 1) = 64 + 8 = 72