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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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Verified Answer
There are six teachersA, B, C, D, EandFin a school. Each of the teache...
The correct option is A.
The given information can be analysed as follows :
Let 'O' denote optional and 'C' denote compulsory
One compulsory subject of F is Mathematics. F has Physics as one of the subjects. So, Physics is optional if F. F has Mathematics as optional and Physics as one subject.
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. Subjects of A and D are reversed in regard to optional and compulsory.
So, A has History as a compulsory subject and English as optional.
Chemistry is the optional subject of only one teacher. So, it is the optional of B, which only 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 having English as her compulsory subject.
So, D is the only female teacher.
A, B and C have History as the compulsory subject.
The given information can be analysed as follows :
Let 'O' denote optional and 'C' denote compulsory
One compulsory subject of F is Mathematics. F has Physics as one of the subjects. So, Physics is optional if F. F has Mathematics as optional and Physics as one subject.
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. Subjects of A and D are reversed in regard to optional and compulsory.
So, A has History as a compulsory subject and English as optional.
Chemistry is the optional subject of only one teacher. So, it is the optional of B, which only 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 having English as her compulsory subject.
So, D is the only female teacher.
A, B and C have History as the compulsory subject.
Most Upvoted Answer
There are six teachersA, B, C, D, EandFin a school. Each of the teache...
Solution:
Given information:
- There are six teachers A, B, C, D, E, and F.
- Each teacher teaches two subjects, one compulsory and one optional.
- D's optional subject is History.
- Three teachers have History as their 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.
- 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.
To find: What is C's compulsory subject?
Explanation:
Compulsory subjects of each teacher:
- A: English (compulsory), History (optional)
- B: History (compulsory), English (optional)
- C: Unknown (compulsory), Unknown (optional)
- D: Unknown (compulsory), History (optional)
- E: Physics (compulsory), Mathematics (optional)
- F: Mathematics (compulsory), Physics (optional)
From the given information, we can deduce the following:
- D's compulsory subject is unknown, so one of D's subjects is History (given).
- Three teachers have History as their compulsory subject, so B and one of C or D have History as their compulsory subject.
- E and F have Physics as one of their subjects, so the third teacher with Physics as their subject must be A or B. But A has English as her compulsory subject, so B has Physics as his optional subject.
- F's compulsory subject is Mathematics, so C and E have Mathematics as their optional subject.
- History and English are A's subjects. Since A has English as her compulsory subject, she must have History as her optional subject. Therefore, D has English as his compulsory subject.
- Chemistry is an optional subject of any one of them. Since we know that C and E have Mathematics as their optional subject, and we already know the compulsory and optional subjects of other teachers, Chemistry must be the optional subject of B.
Therefore, C's compulsory subject is History (because B has History as his compulsory subject and three teachers have History as their compulsory subject). Hence, the correct answer is option A.
Given information:
- There are six teachers A, B, C, D, E, and F.
- Each teacher teaches two subjects, one compulsory and one optional.
- D's optional subject is History.
- Three teachers have History as their 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.
- 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.
To find: What is C's compulsory subject?
Explanation:
Compulsory subjects of each teacher:
- A: English (compulsory), History (optional)
- B: History (compulsory), English (optional)
- C: Unknown (compulsory), Unknown (optional)
- D: Unknown (compulsory), History (optional)
- E: Physics (compulsory), Mathematics (optional)
- F: Mathematics (compulsory), Physics (optional)
From the given information, we can deduce the following:
- D's compulsory subject is unknown, so one of D's subjects is History (given).
- Three teachers have History as their compulsory subject, so B and one of C or D have History as their compulsory subject.
- E and F have Physics as one of their subjects, so the third teacher with Physics as their subject must be A or B. But A has English as her compulsory subject, so B has Physics as his optional subject.
- F's compulsory subject is Mathematics, so C and E have Mathematics as their optional subject.
- History and English are A's subjects. Since A has English as her compulsory subject, she must have History as her optional subject. Therefore, D has English as his compulsory subject.
- Chemistry is an optional subject of any one of them. Since we know that C and E have Mathematics as their optional subject, and we already know the compulsory and optional subjects of other teachers, Chemistry must be the optional subject of B.
Therefore, C's compulsory subject is History (because B has History as his compulsory subject and three teachers have History as their compulsory subject). Hence, the correct answer is option A.
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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.D's optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.F's compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areA's subjects but in terms of compulsory and optional subjects, they are reverse of those ofD'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 isC's 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.D's optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.F's compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areA's subjects but in terms of compulsory and optional subjects, they are reverse of those ofD'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 isC's compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC 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.D's optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.F's compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areA's subjects but in terms of compulsory and optional subjects, they are reverse of those ofD'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 isC's compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 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.D's optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.F's compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areA's subjects but in terms of compulsory and optional subjects, they are reverse of those ofD'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 isC's compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer?.
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.D's optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.F's compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areA's subjects but in terms of compulsory and optional subjects, they are reverse of those ofD'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 isC's compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC 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.D's optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.F's compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areA's subjects but in terms of compulsory and optional subjects, they are reverse of those ofD'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 isC's compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 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.D's optional subject is History while three others have it as compulsory subject.EandFhave Physics as one of their subjects.F's compulsory subject is Mathematics which is an optional subject of bothCandE. History and English areA's subjects but in terms of compulsory and optional subjects, they are reverse of those ofD'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 isC's compulsory subject?a)Historyb)Physicsc)Chemistryd)EnglishCorrect answer is option 'A'. Can you explain this answer?.
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