Statements:Some lecturers are teachers.Some teachers are professors.Conclusions:I. Some lecturers are professors.II. No lecturer is a professor.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Question
Statements:Some lecturers are teachers.Some teachers are professors.Conclusions:I. Some lecturers are professors.II. No lecturer is a professor.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Solution
The answer is "If neither conclusion I nor conclusion II follows".
Here's why:
The statements given are:
- Some lecturers are teachers.
- Some teachers are professors.
From these statements, we cannot definitively conclude that "Some lecturers are professors" (Conclusion I) or "No lecturer is a professor" (Conclusion II).
The first conclusion
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