35 is related to 48 following a certain logic. Following the same logic, 15 is related to 24. Which of the following is 80 related to, 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 1and 3 and then performing mathematical operations on 1 and 3 is not allowed.)​​

Given:

35 is related to 48

15 is related to 24

80  is related to ?

First number = n² - 1

Second number = (n + 1)² - 1

35 → 48

(6² = 36, 36 - 1 = 35)

(7² = 49, 49 - 1 = 48)

15 → 24

(4² = 16, 16 - 1 = 15)

(5² = 25, 25 - 1 = 24)

Similarly;

? → 80

(9² = 81, 81- 1 = 80)

((9+1)² = , 100 - 1 =  99)

Thus, correct option is (a).

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