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

12 : ? :: 15 : 1728 :: 11 : 512

729

12 : ? :: 15 : 1728 :: 11 : 512

The logic followed here is :

(Ist number - 3 )³ = IInd number

As we know

(15 - 3 )³

= 12³ = 1728

and

11 : 512

(11 - 3 )³

= 8³ = 512

Similarly

12 : ?

(12 - 3 )³

= 9³ = 729