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

8 : 496 ? 204 :: 9 : 711

6

The logic followed here is :

( 1st number)³ = 2nd number + (1st number × 2)

So,

    8 : 496

( 8)³ = 496 + (8 × 2)
​
512 = 496 + 16

512 = 512 (LHS = RHS)

​And,

    9 : 711

​​( 9)³ = 711 + (9 × 2)

 = 711 + (9 ×  2)

729 = 711 + 18

729 = 729 (LHS = RHS)

​Similarly,

    ? : 204​

( x)³ = 204 + (x × 2)
​​
 Now using option one by one  ,

We find that x = 6

6 is correct answer .