Select the pair which is related to each other in the same way as the following

9:69

11:109

(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.)​​

9 : 69 and 11 : 109

Logic: Square the first number and subtract 12.

First Pair: 9 : 69

9 × 9 = 81

81 - 12 = 69

Second Pair: 11 : 109

11 × 11 = 121

121 - 12 = 109

Now, apply to the options:

Option A: 16 : 244

16 × 16 = 256

256 - 12 = 244 (Correct)

Option B: 8 : 76

8 × 8 = 64

64 - 12 = 52 (Incorrect)

Option C: 14 : 209

14 × 14 = 196

196 - 12 = 184 (Incorrect)

Option D: 24 : 576

24 × 24 = 576

576 - 12 = 564 (Incorrect)

Thus, correct option is (a)