Paper 1 · Paper 1
UGC NET June 2024 Re-Exam (29.08.2024) Shift-I
If the statement 'Some rectangles are squares' is given as true, then which of the following statements can be inferred as false? Choose the correct answer from the options given below.
- 1. All rectangles are squares.
- 2. Some rectangles are not squares.
- 3. Some squares are not rectangles.
- 4. No rectangles are squares.
A2, 3, 4 only
B4 only ✓ Correct
C2, 3 only
D1, 2, 3, 4
Correct answer: (B) 4 only — Only statement 4 can be inferred as false, so that is the answer.
Explanation
★Only statement 4 can be inferred as false, so that is the answer.
★The given truth is the particular affirmative 'some rectangles are squares'.
★Its contradictory is the universal negative 'no rectangles are squares'.
★If the particular is true, the contradictory must be false.
★The other statements are not necessarily false.
★Hence statement 4 only is correct.
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