some students are teachers and some teachers are Principals
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Answer:
Only I and IV follow
Explanation:
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Complete Question:
Direction: Consider the given statements to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statements.
Statements:
1. Some principals are teachers.
2. All teachers are students.
Conclusions:
I. All principals are students.
II. Some students are principals.
Only Conclusion I follows
Only Conclusion II follows
Both Conclusion I and Conclusion II follow
Neither Conclusion I nor Conclusion II follows
Answer:
Neither Conclusion I nor Conclusion II follows.
- While we know that all teachers are students, we do not know that all principals are teachers. Therefore, we cannot come to a definite conclusion that all principals are students.
- While we know that all teachers are students and some principals are teachers, we neither know that all students are teachers, nor that all teachers are principals. Hence, we cannot know for sure that all students are principals.
- Hence, neither Conclusion I nor Conclusion II can be drawn definitely.
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