Paper 1 · Logical Reasoning
UGC NET December 2023 (14.12.2023) Shift-I
Which of the following statements is logically equivalent to the statement 'All rectangles are polygons'?
ASome rectangles are polygons
BNo rectangles are non-polygons ✓ Correct
CNo non-rectangles are non-polygons
DAll non-polygons are rectangles
Correct answer: (B) No rectangles are non-polygons — The equivalent statement is no rectangles are non-polygons, so that is the answer.
Explanation
★The equivalent statement is no rectangles are non-polygons, so that is the answer.
★All rectangles are polygons is a type A universal affirmative.
★By obversion, a type A statement equals an E statement with a negated predicate.
★So all rectangles are polygons becomes no rectangles are non-polygons.
★Obversion keeps the same meaning while changing quality and negating the predicate.
★The other options alter the logical relation and are not equivalent.
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