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.

5 : 150 :: 6 : ? :: 8 : 576

252

5 : 150 :: 6 : ? :: 8 : 576

The logic followed here is :

Ist number³ + Ist number² = IInd number

AS

5 : 150

5³ + 5²

= 125 + 25

= 150

And

8 : 576

8³ + 8²

= 512  + 64

= 576

Similarly

6 : ?

6³ + 6²

= 216  + 36

= 252