Question

Match the LIST-I with LIST-II. 

LIST-I	LIST-II
A. Two propositions may be true together but never be false together	I. Sub-alternation
B. Two propositions can neither be true together nor false together	II. Sub-contrary
C. Two propositions may be false together but never be true together	III. Contradictory
D. Truth of the universal implies truth of the particular	IV. Contrary

Choose the correct answer from the options given below.

• A. A-III, B-II, C-I, D-IV
• B. A-III, B-II, C-IV, D-I
• C. A-II, B-III, C-IV, D-I
• D. A-II, B-III, C-I, D-IV

Hint:

Square of opposition clue: \[ Contrary = \text{cannot both be true} \] \[ Contradictory = \text{one true and one false} \] \[ Subcontrary = \text{cannot both be false} \]

Answer 1

The Correct Option is C

Concept:
The traditional square of opposition explains relations between categorical propositions. Important relations are: \[ \text{Contrary} \] \[ \text{Contradictory} \] \[ \text{Sub-contrary} \] \[ \text{Sub-alternation} \]

Step 1: Match statement A.
Two propositions which may be true together but cannot be false together are called sub-contraries. So: \[ A \rightarrow II \]

Step 2: Match statement B.
Two propositions which can neither be true together nor false together are contradictories. One must be true and the other must be false. So: \[ B \rightarrow III \]

Step 3: Match statement C.
Two propositions which may be false together but cannot be true together are contraries. So: \[ C \rightarrow IV \]

Step 4: Match statement D.
When truth of universal implies truth of particular, the relation is sub-alternation. So: \[ D \rightarrow I \]

Step 5: Final matching.
The correct matching is: \[ A-II,\ B-III,\ C-IV,\ D-I \] Hence: \[ \boxed{\text{(C)}} \]