Question Table

List I (Statement)	List II (Resultant)
A. If 'Some girls are shy' is True	I. 'E' and 'I' propositions are Undetermined
B. If 'All men are Tall' is False	II. 'A' and 'O' are Undetermined
C. If 'No crows are white' is True	III. 'E' proposition is False; 'I' proposition is True
D. If 'some flowers are not fragrant' is False	IV. 'A' proposition is False; 'O' proposition is True

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Correct option is B

AIII, BIV, CI, DII​

he Square of Opposition deals with the logical relationships between four types of categorical propositions:

• A (Universal Affirmative): All S are P (e.g., All men are tall)
• E (Universal Negative): No S are P (e.g., No crows are white)
• I (Particular Affirmative): Some S are P (e.g., Some girls are shy)
• O (Particular Negative): Some S are not P (e.g., Some flowers are not fragrant)

The relationships are:

• Contradictories: A and O, E and I (They cannot both be true, and they cannot both be false)
• Contraries: A and E (They cannot both be true, but they can both be false)
• Subcontraries: I and O (They cannot both be false, but they can both be true)
• Subalternation: A to I, E to O (If the universal is true, the particular is true. If the particular is false, the universal is false)

Analyzing Each Statement

• A. If 'Some girls are shy' is True (I is True):

  • Since I is true, its contradictory (E) must be false.
  • Since I is true, its subaltern (A) is undetermined.
  • Since I is true, its subcontrary (O) is undetermined.
  • Therefore, the resultant is "E is false; 'I' is true." (III)

• B. If 'All men are tall' is False (A is False):

  • Since A is false, its contradictory (O) is true.
  • Since A is false, its contrary (E) is undetermined.
  • Since A is false, its subaltern (I) is undetermined.
  • Therefore, the resultant is "A is false; O is true." (IV)

• C. If 'No crows are white' is True (E is True):

  • Since E is true, its contradictory (I) is false.
  • Since E is true, its contrary (A) is false.
  • Since E is true, its subaltern (O) is true.
  • Therefore, the resultant is "E is false; I is true." (III)

• D. If 'Some flowers are not fragrant' is False (O is False):

  • Since O is false, its contradictory (A) is true.
  • Since O is false, its subcontrary (I) is true.
  • Since O is false, its subaltern (E) is false.
  • Therefore, the resultant is "A is false; O is true." (IV)

Matching the Lists

• A matches with III
• B matches with IV
• C matches with I
• D matches with II