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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.
Q. What is C's compulsory subject?
  • a)
    History
  • b)
    Physics
  • c)
    Chemistry
  • d)
    English
Correct answer is option 'A'. Can you explain this answer?
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Solution:

Given, there are six teachers A, B, C, D, E, and F in a school, and each teaches one compulsory and one optional subject. We are given some information about their subjects as follows:

- D's optional subject is History.
- Three teachers have History as their compulsory subject, which are reverse of those of D.
- 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.
- English and History are A's subjects.

Let's analyze the given information step by step to find out C's compulsory subject.

1. Subjects of teachers:

Teacher | Compulsory Subject | Optional Subject
-------|-------------------|----------------
A | English | History
B | |
C | |
D | History |
E | |
F | Mathematics | Physics

2. History as Compulsory and Optional Subject:

- Three teachers have History as their compulsory subject, which are reverse of those of D.
- Thus, A, B, and C have History as their compulsory subject, and D has History as his optional subject.
- Hence, D cannot be A, B, or C, and the remaining three teachers must be A, B, and C.
- Also, A's optional subject is History, and it is the reverse of D's subjects. Therefore, A's optional subject must be Physics.

Teacher | Compulsory Subject | Optional Subject
-------|-------------------|----------------
A | English | Physics
B | History |
C | History |
D | History |

3. Physics as Optional Subject:

- E and F have Physics as one of their subjects.
- F's compulsory subject is Mathematics, and it is also an optional subject of both C and E.
- Therefore, F cannot have Physics as his compulsory subject, and it must be E who has Physics as his compulsory subject.
- Hence, F's subjects are Mathematics and Physics, and E's subjects are Physics and Mathematics.

Teacher | Compulsory Subject | Optional Subject
-------|-------------------|----------------
A | English | Physics
B | History |
C | History |
D | History |
E | Physics | Mathematics
F | Mathematics | Physics

4. Female Teacher:

- There is only one female teacher in the school who has English as her compulsory subject.
- From the given data, we can see that A is the only teacher who has English as his compulsory subject.

Teacher | Compulsory Subject | Optional Subject
-------|-------------------|----------------
A | English | Physics
B | History |
C | History |
D | History |
E | Physics | Mathematics
F | Mathematics | Physics

5. Optional Subject of C:

- Chemistry is an optional subject of any one of them.
- We can see that only C has not been assigned any subject yet.
- Therefore, C's optional subject must be Chemistry.

Teacher | Compulsory Subject | Optional Subject
-------|-------------------|----------------
A | English | Physics
B | History |
C | | Chemistry
D | History |
E | Physics | Mathematics
F
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There are six teachersA, B, C, D, EandFin a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject.Ds optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.Fs compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areAs subjects but in terms of compulsory and optional subjects, they are reverse of those ofDs. 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.Q. What isCs compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer?
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There are six teachersA, B, C, D, EandFin a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject.Ds optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.Fs compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areAs subjects but in terms of compulsory and optional subjects, they are reverse of those ofDs. 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.Q. What isCs compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about There are six teachersA, B, C, D, EandFin a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject.Ds optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.Fs compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areAs subjects but in terms of compulsory and optional subjects, they are reverse of those ofDs. 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.Q. What isCs compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are six teachersA, B, C, D, EandFin a school. Each of the teachers teaches two subjects, one compulsory subject and the other optional subject.Ds optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.Fs compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areAs subjects but in terms of compulsory and optional subjects, they are reverse of those ofDs. 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.Q. What isCs compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer?.
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