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 chains are cycles.
Some cycles are wheels.
All wheels are mirrors.

Conclusion
I.Some cycles are mirrors.
II. Some wheels are chains.
III. Some mirrors are cycles.

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

Answer 1

The correct option is D Only I and III follow

The first and third premises are universal affirmative (A-type).The second premise is particular affirmative (I-type).
Some cycles are wheels.
All wheels are mirrors.
$I+A\Rightarrow I$-type conclusion.
Conclusion, some cycles are mirrors.
This is conclusion I.
Conclusion III is the converse of this conclusion.
Therefore, conclusions I and III follow.