To offset the effect of guessing, true/false tests are often scored by subtracting the number of wrong answers from the number of right answers, with missed out questions not counted. Recently, a 30-item true/false test was scored like this, and Bill, Dot and 6 other students all got the same score, although no two of them answered the same number of questions. All eight belong to at least 2 of the 5 student clubs at their high school, but no two belong to the exactly the same combination of clubs. From the following clues, can you find the full name of each student (one last name is Mills), the clubs they belong to, the number of questions each answered correct and incorrect, and the score they got?
1. Neither Paul, who is not the Ross boy, nor Ali was the one who had no wrong answers.
2. No one belongs to both the Hiking and the Stamp club, or to both the Model Railroad and the Chess club.
3. The four Drama club members answered the largest number of items.
4. No one had more than 7 incorrect answers.
5. The Evans kid, who belongs to the Model Railroad Club but not Drama, answered more questions than everyone else who is not a member of the Drama Club.
6. Grace and the Leroy girl answered fewer items than the other Drama Club members.
7. Mike and the North girl between them represent all 5 clubs and have no club membership in common; the same is true of Paul and the Fisher youngster.
8. Of the Drama Club members, the two who also belong to the Model Railroad Club answered more questions than the two who also belong to the Chess Club.
9. The Clark girl, who answered 20 questions, and Karen, who answered 26, belong to two of the same clubs.
10. Of those who do not belong to Drama, the two in the Hiking Club answered more items than the two in the Stamp Club.
11. Joe who answered 28 questions (which was not the most), and the Horn youngster, who answered 18, belong to two of the same clubs.