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In a square of opposition of propositions, which of the following is correct?

Paper 1 · Logical Reasoning UGC NET December 2023 (11.12.2023) Shift-II
In a square of opposition of propositions, which of the following is correct?
AIf A is given as false, O is undetermined
BIf E is given as false, I is false
CIf I is given as false, A is false ✓ Correct
DIf O is given as false, E is true
Correct answer: (C) If I is given as false, A is false — If I is false then A is false, so the answer is the option about I and A.
Explanation
If I is false then A is false, so the answer is the option about I and A.
In the square of opposition, A is the universal affirmative and I is the particular affirmative.
A implies I, since if all are, then some are.
So if the particular I is false, the universal A must also be false.
A false universal cannot make its own particular true.
So the correct relation is that if I is false, A is false.

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