Match List I with List II

List I (In a square of opposition)	List II (Resultant)
(A) 'A' being given false	(I) 'E' is false
(B) E' being given false	(II) E' is true
(C) I being given false	(III) T is undetermined
(D) 'O' being given false	(IV) T is true

Choose the correct answer from the options given below :

Correct option is B

1. Introduction:

 The Square of Opposition shows the logical relationships among the four standard categorical propositions:

These four types are connected by contradictory, contrary, subcontrary, and subalternation relations.

2. Information Booster:

Let’s analyze what happens when each proposition is false

(A) ‘A’ being false → Result: (III) Truth is Undetermined

• A = “All S are P”

• If A is false, “Some S are not P” (O) might be true, but we can’t determine E or I with certainty.
  Resultant: Undetermined truth (III)

(B) ‘E’ being false → Result: (IV) Truth is True

• E = “No S are P”

• If E is false, its contradictory (I = “Some S are P”) must be true.
  Resultant: Truth is True (IV)

(C) ‘I’ being false → Result: (II) E is True

• I = “Some S are P”

• If I is false, its contradictory (E = “No S are P”) must be true.
  Resultant: E is True (II)

(D) ‘O’ being false → Result: (I) E is False

• O = “Some S are not P”

• If O is false, its contradictory (A = “All S are P”) becomes true, and hence E (No S are P) must be false.
  Resultant: E is False (I)

3. Additional Information (Summary Table):