Statements:Some teachers are Lectures.
All professors are lecturers.
All lecturers are students.
Conclusions:I. Some students are teachers.
II. Some lecturers are teachers.
III. All lecturers are professors
Some teachers are professors (I) + All professors are lecturers (A)= Some teachers are lecturers.(I) +All lecturers are students.(A)= Some teachers are students (I) ⇒ conversion ⇒ Some students are teachers (I). Hence, conclusion I will follow. Some teachers are professors (I) + All professors are lecturers (A)= Some teachers are lecturers.(I) ⇒ conversion ⇒ Some lecturers are teachers.(I) Hence, conclusion II will also follow. All professors are lecturers (A) ⇒ conversion ⇒ Some lecturers are professors (I). Hence, conclusion III will not follow. Alternative method:
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