Three are six teacher A, B, C, D , E and F in a school, Each teacher has to teach two subjects, one compulsory and the other optional. D’s optional is History, while three others have it as a compulsory subject, E and F have Physics as one of their subjects, F‘s compulsory subject in Mathematics, which is an optional subject of both C and E, History and English are A’s subject but in term of compulsory and optional subjects, they are reserved of D’s Chemistry is an optional subject of one of the teachers. There is only one female teacher, who has English as her compulsory subject. <br /> Which of the following group of teacher has History as the compulsaory subject?
To answer the question, we must first determine the complete set of subject assignments for all six teachers by applying the given rules. This requires the same logical deduction as in the previous related puzzles.
A full analysis of the clues allows us to construct a complete table of assignments. The key deductions involve pairing teachers A and D with reversed subjects, identifying D as the sole female teacher, assigning Maths and Physics to E and F, and then using the remaining constraints to fill in the subjects for B and C.
The fully solved puzzle results in the following table:
| Teacher | Compulsory Subject | Optional Subject |
|---|---|---|
| A | History | English |
| B | History | Chemistry |
| C | History | Maths |
| D | English | History |
| E | Physics | Maths |
| F | Maths | Physics |
The question asks to identify the group of teachers who have History as their compulsory subject. By examining the "Compulsory Subject" column in the completed table, we can see that teachers A, B, and C have History as their compulsory subject.
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