Correct option is B
Given:
1728 : 12 :: 512 : ?
Logic: The given number is the cube of the related number (Next Number).
1728 : 12
1728 = 12³ (12 × 12 × 12 =1728)
Similarly,
512 : ?
512 = 8³ (8 × 8 × 8 = 512)
So, the missing number is 8.
Thus, the correct option is: (b)