Question

Statements:
I. All books are pencils.
II. Some pencils are sharpeners.
Conclusions:
A) All sharpeners are books.
B) Some books are sharpeners.
C) No sharpener is a book.
D) None of the above follows.

• A. A
• B. B
• C. C
• D. D

Hint:

In logical deduction problems, be careful not to make assumptions that are not directly supported by the given statements.

Answer 1

The Correct Option is D

Step 1: Analyzing the statements.
- Statement I says all books are pencils, but this does not mean that all pencils are books.
- Statement II says some pencils are sharpeners, but it doesn’t indicate that sharpeners are books.
Step 2: Analyzing the conclusions.
- Conclusion A: All sharpeners are books. This does not follow from the statements.
- Conclusion B: Some books are sharpeners. This does not follow either.
- Conclusion C: No sharpener is a book. This is also not supported by the statements.
- Conclusion D: None of the above conclusions follow, which is correct.
Step 3: Conclusion.
The correct answer is (4) D.