Correct option is D
Given: 216 : 3 :: ? : 4 :: 1728 : 6
The relationship is that the cube root of the first number divided by 2 gives the second number.
216 = 63, and 6÷2=3
1728=123, and 12÷2=6
For the missing number:
Cube root of ? = 8, and 8 ÷ 2 = 4
83 = 512
Correct answer is (d) 512.