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

14 : 210 :: 13 : ? 16 : 272

182

Pattern followed here is :

2nd number = (1st number)² + (1st number)

Apply following pattern to given series ,

14 : 210

2nd number = (14)² + (14)

= 196 + 14

= 210

& 16 : 272

2nd number = (16)² + (16)

= 256 + 16

= 272

Similarly ,

13 : ?

2nd number = (13)² + (13)

= 169 + 13

= 182

182 , is correct answer .