Seven students (Angel, Fahid, Gladys, Jason, Mary, Michael, Nadia) all take the same six subjects in Academic High School (chemistry, English, French, geometry, history,
computers).
Each of Fahid’s classes is with one of the other six students, and no more than two of the students are together in any one class. Also, any two students in one class are not also together in another class.
All seven students had the same grades on their report cards (A, B+, B, B-, C+, C-), but only two students had the same grade in any one subject. No pair who had the same grade in one subject also had the same grade in another subject, and no pair who are in a class together had the same grade for that subject. Furthermore, whenever a pair of students had the same grade in a subject, then another pair did not have that same grade for any other subject.
The teachers (Andrian, Delo, Linkewicz, Miller, Reilly, Short) teach only one subject
each, and each teacher has a different period free for preparation. If the period is not a
preparation period for the teacher, then at least one of the seven students is in that
teacher’s class that period. The school has a six-period day.
From the information above and the clues which follow, find all of the following:
A) each student’s grade in each class;
B) each student’s schedule;
C) each teacher’s subject area;
D) each teacher’s preparation period.
- Michael’s grade in each subject was different from everyone else’s, and his grades in every subject except English were worse than Fahid’s.
- Fahid’s geometry grade was better than his French grade but not as good as his history grade.
- Gladys’ and Angel’s history grades were lower than Fahid’s, but their French grades were higher than Fahid’s.
- Mary Ellen was happy she got an a A in French and a B in English.
- Jason had a better history grade than Nadia, and both had better history grades than Fahid.
- Fahid’s geometry grade was better than his grade in Delo’s class, and his grade from Short was better than his history grade.
- Nobody in Fahid’s class with Reilly got a C or C+.
- Linkewicz, Delo, the French teacher, and the history teacher eat lunch together.
- The French teacher, the chemistry teacher, Miller, and Short are all on the same bowling team.
- Miller, Delo, and Linkewicz have consecutive preparation periods, respectively.
- Gladys thinks that the history teacher’s methods are outdated and that he ought to try some of Miller’s methods sometimes.
- Michael, who is in Jason’s chemistry class, has chemistry the fifth period.
- Fahid’s geometry class is right after his chemistry class, and his history class is right after that.
- Nadia’s French class is after Gladys’ and before Fahid’s, her English class is after Fahid’s, and her geometry class with Michael is right after Fahid’s history class.
- Jason and Angel sometimes do skits together for their second period French class.
- Mary Ellen’s French class is the same period as Michael’s geometry class.
- Nadia’s chemistry grade was better than Fahid’s.
- Fahid’s computer and French classes with Michael and Nadia are consecutive.
- None of the other six students is in Mary Ellen’s English class, but Fahid is Mary Ellen’s lab partner in chemistry.
- Except for his computer grade, Jason’s grades were all different from everyone else’s.
- Mary Ellen’s chemistry grade was better than her history grade but not as good as her computer grade.
- Nadia’s English grade was the same as Mary Ellen’s, but Nadia’s other grades were all different from everyone else’s.
- Angel’s history grade was better than his chemistry grade.