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

14 : 400 :: 37 : ? :: 42 : 2304

1849

Pattern followed here is :

2nd number = (1st number + 6)²

We have ,

14 : 400

2nd number = (14 + 6 )²

= (20)²

= 400

&  42 : 2304

2nd number = (42 + 6 )²

= (48)²

= 2304

Similarly ,

37 : ?

2nd number = (37 + 6 )²

= (43)²

= 1849

1849 is corrrect answer.