If the statement 'All lions are carnivorous animals' is given as true, which of the following can be immediately inferred to be false? Choose the correct answer from the options given below.
1.No lions are carnivorous animals.
2.Some lions are carnivorous animals.
3.Some lions are not carnivorous animals.
4.Some carnivorous animals are lions.
A3, 4 only
B1, 3 only ✓ Correct
C1, 2 only
D2, 3 only
Correct answer: (B) 1, 3 only
Explanation
Given "All lions are carnivorous animals" is true, both "No lions are carnivorous animals" and "Some lions are not carnivorous animals" are false.
The given proposition is a true universal affirmative A.
Statement 1 is the contrary universal negative E, and contraries cannot both be true, so it is false.
Statement 3 is the contradictory O of the given A, and contradictories differ in truth value, so it too is false.
The particular affirmative and the converse both stay true under a true A and are not falsified.
So the two forced falsehoods are the universal negative and the particular negative.
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