Paper 1 · Logical Reasoning
UGC NET 25th June 2025 Shift 2
Which of the following statements are logically equivalent?
- 1. All poems are artworks.
- 2. No non-poems are non-artworks.
- 3. Some poems are artworks.
- 4. All non-artworks are non-poems.
A1, 3 & 4 only
B1 & 2 only
C3 & 4 only
D1 & 4 only ✓ Correct
Correct answer: (D) 1 & 4 only — All poems are artworks is an A type proposition. Its contrapositive, all non artworks are non poems, says exactly the same thing and so is logically equivalent. The other statements…
Explanation
★All poems are artworks is an A type proposition. Its contrapositive, all non artworks are non poems, says exactly the same thing and so is logically equivalent. The other statements change the quantity or the relation and are not equivalent.
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