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Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
1. All teachers are students.
2. All principal are teachers.
3. Some principals are doctors.
Conclusions:
I. Some students are teachers.
II. No student is a doctor.
III. Some students are principals.
  • a)
    Only conclusions II and III follow
  • b)
    All of the conclusions follow
  • c)
    Only conclusions I and III follow
  • d)
    Only conclusions I and II follow
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Three statements are given followed by three conclusions numbered I, ...
From the given statements, the Venn diagram is
Now we consider the given conclusions:
I. Some students are teachers → Follow → As all teachers are student it is very obvious that some students are teachers, thus the conclusion follows.
II. No student is a doctor → Does not Follow → We have 'all teachers are students', 'all principal are teachers' and 'some principals are doctors' so there is an indirect relation between students and doctors which can be also seen in the diagram and therefore the conclusion does not follow.
III. Some students are principals → Follow → As the information and the diagram we can see students and principals are related & it is safe t say that some students are principals so the conclusion follows.
So only conclusion I and III follow.
Hence the correct answer is option (c)
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Most Upvoted Answer
Three statements are given followed by three conclusions numbered I, ...
Explanation:

Given statements:
- All teachers are students.
- All principals are teachers.
- Some principals are doctors.

Conclusions:
I. Some students are teachers.
II. No student is a doctor.
III. Some students are principals.

Analysis:
- As per the given statements, all teachers are students and all principals are teachers, which implies that some students are teachers.
- Since some principals are doctors, it cannot be concluded that no student is a doctor as there is no direct relationship established between students and doctors in the given statements.
- Finally, as all principals are teachers and all teachers are students, it can be concluded that some students are principals.
Therefore, only conclusions I and III logically follow from the given statements. Hence, the correct answer is option C.
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Community Answer
Three statements are given followed by three conclusions numbered I, ...
From the given statements, the Venn diagram is
Now we consider the given conclusions:
I. Some students are teachers → Follow → As all teachers are student it is very obvious that some students are teachers, thus the conclusion follows.
II. No student is a doctor → Does not Follow → We have 'all teachers are students', 'all principal are teachers' and 'some principals are doctors' so there is an indirect relation between students and doctors which can be also seen in the diagram and therefore the conclusion does not follow.
III. Some students are principals → Follow → As the information and the diagram we can see students and principals are related & it is safe t say that some students are principals so the conclusion follows.
So only conclusion I and III follow.
Hence the correct answer is option (c)
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Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.Statements:1. All teachers are students.2. All principal are teachers.3. Some principals are doctors.Conclusions:I. Some students are teachers.II. No student is a doctor.III. Some students are principals.a)Only conclusions II and III followb)All of the conclusions followc)Only conclusions I and III followd)Only conclusions I and II followCorrect answer is option 'C'. Can you explain this answer?
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