Question

This question contains two statements followed by two conclusions numbered I and II. You have to consider the two statements to be true, even if they seem to be at variance with commonly known facts, and decide which of the given conclusions definitely follow from the given statements.
Statements:
Some chairs are glasses.
All trees are chairs.
Conclusions:
I. Some trees are glasses.
II. Some glasses are trees.

• A. if only I follows
• B. if only II follows
• C. if either I or II follows
• D. if neither I nor II follows

Hint:

In syllogisms, “some” cannot be assumed unless it is explicitly stated or logically unavoidable.

Answer 1

The Correct Option is D

Step 1: Let’s diagram the statements: - “Some chairs are glasses” → partial overlap between Chairs and Glasses.
- “All trees are chairs” → Trees are a subset of Chairs.
Step 2: Conclusion I: “Some trees are glasses.” We cannot be certain about this from the given information because although Trees are part of Chairs, the portion of Chairs that are Glasses may or may not include any Trees. Hence, it does not definitely follow.
Step 3: Conclusion II: “Some glasses are trees.” Similarly, we cannot confirm that any Glasses are Trees without more information. Hence, this also does not definitely follow.
Step 4: Since neither conclusion is guaranteed, the correct answer is $\mathbfneither\ I\ nor\ II\ follows$.