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If ‘Some men are vegetarians’ is given as false, which of the following can be inferred…

Paper 1 · Logical Reasoning UGC NET December 2021 June 2022 (29.09.2022) Shift-II
If 'Some men are vegetarians' is given as false, which of the following can be inferred to be true from it?
  • All men are vegetarians
  • No men are vegetarians
  • Some men are not vegetarians
  • All non-vegetarians are men
A1, 2 & 3 only
B2, 3 & 4 only
C2 & 3 only ✓ Correct
D3 only
Correct answer: (C) 2 & 3 only — The answer is 2 and 3.
Explanation
The answer is 2 and 3.
If 'Some men are vegetarians' is false, then its contradictory 'No men are vegetarians' must be true, which is item 2.
From 'No men are vegetarians' it follows that 'Some men are not vegetarians' is true, which is item 3.
The claim that all men are vegetarians contradicts the falsity given, so item 1 is excluded.
The statement about all non-vegetarians being men does not follow, so item 4 is excluded.
So statements 2 and 3 can be inferred.
So the answer is 2 and 3.

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