Question

Two statements are given followed by four conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions if any, follow from the given statements.

Statements
Some teachers are students.
All students are girls.

Conclusions
I. All teachers are girls.
II. Some girls are teachers.
III. Some girls are students.
IV. All students are teachers.

• A. Only conclusion I follows
• B. Only conclusions I, II and III follow
• C. Only conclusions III and IV follow
• D. All follow
• E. None of the above

Answer 1

The correct option is C Only conclusions III and IV follow

The first premise is particular affirmative (I-type).
The second premise is universal affirmative (A-type).
Some teachers are students.
All students are girls.
$I+A\Rightarrow I$-type of conclusion
Some teachers are girls.
Conclusion II is the converse of it.
Conclusion III is the converse of the second premise.