Question:
Statements: All pens are books. All books are tables. Conclusions: I. All pens are tables. II. Some tables are pens. Which conclusion follows?
Statements: All pens are books. All books are tables. Conclusions: I. All pens are tables. II. Some tables are pens. Which conclusion follows?
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Two 'All' statements in a chain make the end relation certain, and its converse gives a 'Some'.
Updated On: Jul 8, 2026
- Only conclusion I follows
- Only conclusion II follows
- Both I and II follow
- Neither I nor II follows
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The Correct Option is C
Solution and Explanation
Step 1: Chain the universals.
All pens are books and all books are tables, so every pen is a table. Conclusion I (All pens are tables) follows.
Step 2: Convert.
Since all pens are tables and pens exist, some tables are pens. Conclusion II follows.
Step 3: Conclude.
Both conclusions follow.
All pens are books and all books are tables, so every pen is a table. Conclusion I (All pens are tables) follows.
Step 2: Convert.
Since all pens are tables and pens exist, some tables are pens. Conclusion II follows.
Step 3: Conclude.
Both conclusions follow.
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