Question

Three statements are given followed by four conclusions I, II, III and IV. 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
All books are boxes.
All boxes are pens.
All pens are papers.

Conclusions
I. Some papers are books.
II. All books are papers.
III. All boxes are books.

• A. Only conclusions I and III follow
• B. Either conclusion II or IV follows
• C. Only conclusions I, II and III follow.
• D. Either conclusion III or III follows

Answer 1

The correct option is C Only conclusions I, II and III follow.

All the three premises are universal affirmative (A-type).
All books are boxes.
All boxes are pens.
$A+A\Rightarrow A$-type of conclusion
All books are pens.
Conclusion III is the converse of it.
All books are pens.
All pens are papers.
$A+A\Rightarrow A$-type of conclusion
All books are papers.
This is conclusion II.
Conclusion I is the converse of it.
All boxes are pens.
All pens are papers.
$A+A\Rightarrow A$-type of Conclusion
All boxes are papers.