x is a positive integer. When x is divided by 2, 4, 6 or 8, the remainder is 1

Column A x Column B 24

I solved it and thought that x can be minimum 25 which greater than 24, so should be A. BUT, the answer was D and apparently explanation is that x can be 1, when the quotient is 0. This whole concept is sorcery, can you help me comprehend this greg?