Paper 1 · Logical Reasoning
UGC NET December 2021 June 2022 (10.10.2022) Shift-I
Which of the following propositions are logically equivalent to 'No women are dishonest human beings'?
- No dishonest human beings are women
- All women are non-dishonest human beings
- No women are non-dishonest human beings
- All non-women are non-dishonest
A1 & 2 only ✓ Correct
B3 & 4 only
C1 & 3 only
D1, 2 & 3 only
Correct answer: (A) 1 & 2 only — The answer is 1 and 2.
Explanation
★The answer is 1 and 2.
★'No dishonest human beings are women' is the converse of the original and says the same thing, which is item 1.
★'All women are non-dishonest human beings' is the obverse of the original and is also equivalent, which is item 2.
★'No women are non-dishonest human beings' actually means all women are dishonest, so item 3 differs.
★The statement about non-women in item 4 is not equivalent either.
★So only items 1 and 2 are logically equivalent.
★So the answer is 1 and 2.
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