Consider the following statements in square of opposition:
(A) If 'A' is true; 'E' is false
(B) If 'E' is false; 'O' is undetermined
(C) If 'I' is false; 'A' is true
(D) If 'O' is true; 'I' is true
(E) If 'I' is true; 'A' is false

Choose the correct answer from the options given below:

Correct option is A

(B) If 'E' is false, 'O' is undetermined: E and O are subcontraries; both can’t be false simultaneously, but if E is false, O may be true or false, so it’s undetermined. So, (B) is correct.

Information booster 

1. The square of opposition represents logical relations like contradiction, contrariety, subcontrariety, and subalternation between propositions.

2. Contradictories (A and E, I and O): cannot both be true or both be false simultaneously.

3. Contraries (A and E): cannot both be true but can both be false.

4. Subcontraries (I and O): cannot both be false but can both be true.

5. Subalternation: truth flows downward from universal to particular; falsity flows upward.

6. Understanding these relations helps in evaluating the truth values of categorical propositions in syllogistic logic.