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.

8 : 448 : 9 : ? :: 11: 847

 567

8 : 448 : 9 : ? :: 11: 847

The  logic followed here is :

IST NUMBER² × 7 = IIND NUMBER

AS

8 : 448

8² × 7

= 64 × 7

= 448

AND

11: 847

11² × 7

= 121 × 7

= 847

SIMILARLY

9 : ?

9² × 7

= 81 × 7

= 567