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If the statement ‘All men are honest’ is given as false, which of the following could…

Paper 1 · Logical Reasoning UGC NET December 2021 June 2022 (22.09.2022) Shift-I
If the statement 'All men are honest' is given as false, which of the following could be inferred immediately from it?
  • 'Some men are honest' is false
  • 'No men are honest' is true
  • 'No men are honest' is undetermined
  • 'Some men are not honest' is true
A1 and 2 only
B3 and 4 only ✓ Correct
C1 and 4 only
D2 and 4 only
Correct answer: (B) 3 and 4 only — The answer is 3 and 4.
Explanation
The answer is 3 and 4.
If 'All men are honest' is false, its contradictory 'Some men are not honest' is true, which is item 4.
The falsity of the universal affirmative leaves 'No men are honest' undetermined, which is item 3.
The claim that 'Some men are honest' is false does not follow, so item 1 is excluded.
The claim that 'No men are honest' is true does not follow either, so item 2 is excluded.
So the immediate inferences are items 3 and 4.
So the answer is 3 and 4.

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