Paper 1 · Logical Reasoning
UGC NET June 2024 Cancelled (18.06.2024) Shift-II
Which of the following statements is logically equivalent to the statement 'No cats are non-feline'?
ANo felines are cats
BAll non-cats are feline
CAll cats are feline ✓ Correct
DAll felines are cats
Correct answer: (C) All cats are feline — The equivalent statement is 'All cats are feline', so that is the answer.
Explanation
★The equivalent statement is 'All cats are feline', so that is the answer.
★The original says no cats are non-feline.
★Denying that anything is non-feline is the same as affirming it is feline.
★So saying no cats are non-feline means every cat is feline.
★This is the operation of obversion in logic.
★So 'All cats are feline' is the logically equivalent statement.
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