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 : 109 :: 7 : 71 :: 13 : ?

209

Pattern followed is :

(First number + 1)² + First number = Second number

So, following the same pattern, we have

9 : 109                           ::                     7 : 71

 (9 + 1)² + 9 = 109                         (7 + 1)² + 7 = 71


 Similarly ,

13 : ?

 (13 + 1)²  + 13 = 196 + 13 = 209

209 , is correct answer .