Question

In each of the questions below are given three statements followed by three conclusions numbered, I II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All jackets are trousers.
No trouser is a shirt.
Some shirts are caps.

Conclusions
I. Some caps are jackets.
II. Some shirts are jackets.
III. Some trousers are jackets.

• A. Only I follows
• B. Only II follows
• C. Only III follows
• D. All follow
• E. None of these

Answer 1

The correct option is C Only III follows

The first premise is universal affirmative (A-type).
The second premise is universal negative (E-type).
The third premise is particular affirmative (I-type).
All jackets are trousers.
No trouser is shirt
$A+E\Rightarrow E$-type
Conclusion, no jacket is a shirt.
No trouser is a shirt.
Some shirts are caps.
$E+I\Rightarrow O_1$-type conclusion.
Conclusion, some caps are not trousers.
Conclusion III is the converse of the first premise.