Select the pair from among the given options that is analogous to the given pair.
14 : 200
5 : 29
(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.)

14 : 200
5 : 29

Logic:  number² + 4 = result.

14² + 4 = 200

5² + 4 = 29

Check options with the same rule:

11² + 4 = 125 (not 120)

15² + 4 = 229 (not 230)

7² + 4 = 53 (not 50)

16² + 4 = 260 (matches)

Thus, correct option is (d).