Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.

9 : 102 :: 11 : 146 :: 13 : ?

198

9 : 102 :: 11 : 146 :: 13 : ?

The logic followed here is :

(Ist number + 1)² + 2 = IInd number

As

9 : 102

(9 + 1)² + 2

= 100 +2 = 102

And 

11 : 146

(11 + 1)² + 2

= 144 +2 = 146

Similarly

13 : ?

11 : 146

(13 + 1)² + 2

= 196 +2 = 198