Select the pair from among the given options that is analogous to the given pair.

11 : 123

6 : 38

(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.)​​

Given pair: 11 : 123

Logic: Number² + 2 = Second number

11² = 121 → 121 + 2 = 123

Now apply the same logic to 6:

6² = 36 → 36 + 2 = 38

Now test the options:

10² + 2 = 100 + 2 = 102

14² + 2 = 196 + 2 = 198 (Follows)

13² + 2 = 169 + 2 = 171

18² + 2 = 324 + 2 = 326 

​Thus, correct option is (b).