Select the pair from among the given options that is analogous to the given pair.
10 : 101
6 : 37
(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.) ​​

10 : 101

6 : 37

Logic: Second number = (First number squared) + 1.

10 : 101

10² = 100, and 100 + 1 = 101 

6 : 37

6² = 36, and 36 + 1 = 37

Now, applying the same logic to the options:

Option A: 14 : 196

14² = 196, and 196 + 1 = 197 ≠ 196​

Option B: 7 : 50

7² = 49, and 49 + 1 = 50.

50 = 50, (Follow)

Option C: 11 : 120

11² = 121, and 121 + 1 = 122 ≠ 120

Option D: 8 : 64

8² = 64, and 64 + 1 = 65 ≠ 64

Thus, correct option is (b).