There are six teachers ABCDEF in a school

There are six teachers ABCDEF in a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject. D’s optional subject is History while three others have it as compulsory subject. E and F have Physics as one of their subjects. F’s compulsory subject is Mathematics which is an optional subject of both C and E. History and English are A’s subjects but in terms of compulsory and optional subjects, they are just reverse of those of D’s. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject.

Analysis of Teacher Subjects

Based on the given information, we can construct the following table to represent the subjects taught by each teacher:

From the given information, There are six teachers ABCDEF in a school

• D teaches History as an optional subject.
• Three other teachers have History as a compulsory subject, which means that they are not A, D, or E.
• E and F have Physics as one of their subjects.
• F’s compulsory subject is Mathematics which is an optional subject of both C and E.
• History and English are A’s subjects but in terms of compulsory and optional subjects, they are just reverse of those of D’s.
• Chemistry is an optional subject of only one of the teachers.
• The only female teacher in the school has English as her compulsory subject.

Using these deductions, we can fill in the table as follows:

Therefore, we have determined the compulsory and optional subjects of each teacher in the school. A teaches History as a compulsory subject and English as an optional subject. B teaches Chemistry as an optional subject and History as a compulsory subject. C teaches Mathematics as a compulsory subject and Physics as an optional subject. D teaches English as a compulsory subject and History as an optional subject. E teaches Physics as a compulsory subject and Mathematics as an optional subject