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

5 : 117 :: 6 : 208 :: 8 : ?

504

5 : 117 :: 6 : 208 :: 8 : ?

The logic Followed here is

Ist number³ - 8 = IInd number

As

5³ - 8

125 - 8 = 117

 and 6 : 208

6³ - 8

216 - 8 = 208

Similarly

8 : ?

8³ - 8

64 - 8 = 56