17, 18, 26, 53, 117, ?

Select the number from among the given options that can replace the question mark (?) in the  following series.
17, 18, 26, 53, 117, ?

Option
a) 302
b) 242
c) 336
d) 232

Solution

17, 18, 26, 53 , 117, ?
Difference of number
1, 8, 27, 64
1³, 2³, 3³, 4³
next will be 5³ = 125
next Number = 117 + 125 = 242

Answer : b) 242