There are six teachers A, B, C, D, E and F 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 reverse of those of D's. Chemistry is an optional subject of any one of them. There is only one female teacher in the school who has English as her compulsory subject.
Who is a female member in the group ?

Options

A. A
B. B
C. C
D. D

Answer

D

Explanation

The given information can be analysed as follows.
Let .O. denote optional and .C. denote compulsory.

One compulsory subject of F is Mathemetics. F has Physics as one of the subjects. So, Physics is the compulsory subject of E. A and D have the same subjects, History and English. D has History as optional subject and so English is the compulsory subject of D. The students of A and D are reverse in regard of being optional and compulsory. So, A has History as compulsory subject and English as optional. Chemistry is the optional subject of only one teacher. So it is the optional of B, who is the only one that remains. We know that History is the compulsory subject of three teachers. So, it is compulsory for A, B and C.
D is the teacher whose compulsory subject is English . Hence D is a female.