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If the statement ‘Some animals are not ferocious’ is given as true, then which of the…

Paper 1 · Logical Reasoning UGC NET December 2021 June 2022 (12.07.2022) Shift-II
If the statement 'Some animals are not ferocious' is given as true, then which of the following could be immediately inferred from it?
  • 'All animals are ferocious' is undetermined
  • 'Some animals are ferocious' is false
  • 'No animals are ferocious' is undetermined
  • 'All animals are ferocious' is false
A3 and 4 only ✓ Correct
B2 and 4 only
C2, 3 and 4 only
D1, 2 and 3 only
Correct answer: (A) 3 and 4 only — The answer is 3 and 4.
Explanation
The answer is 3 and 4.
If 'Some animals are not ferocious' is true, its contradictory 'All animals are ferocious' is false, which is item 4.
The truth of this particular negative leaves 'No animals are ferocious' undetermined, which is item 3.
It does not fix the truth of 'Some animals are ferocious', so item 2 is not settled and is excluded.
The 'All animals are ferocious' proposition is determined as false, not undetermined, so item 1 is excluded.
So the immediate inferences are the third and fourth.
So the answer is 3 and 4.

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