13 is related to 119 following a certain logic. Following the same logic, 9 is related to 31. To which of the following is 8related, 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 1and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

Let's analyze the given number relationships:

13 → 119

9 → 31

8 → ?

Logic: The square of 1st digit and -50.

13 → 119

(13²) =169-50=119

(9²) = 81-50=31

(8²)=64-50=14

Thus, the correct option is (a)14.