Which of the following statements are so related that they can neither both be true nor can they be false together? 

A. No saints are materialists.

B. All saints are materialists.

C. Some saints are not materialists.

D. Some saints are materialists. 

Choose the correct answer from the options given below: 

This question was previously asked in
UGC NET Official Paper 1: Held On 14 June 2023 Shift 2
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  1. A & C only
  2. B & D only
  3. A & D only
  4. C & D only

Answer (Detailed Solution Below)

Option 3 : A & D only
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

Detailed Solution

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Key Points
  • Statements A and D are logically contradictory.
  • This means that they cannot both be true at the same time. If statement A is true, then statement D must be false. And if statement D is true, then statement A must be false.
  • Statements B and C are not logically contradictory.
  • This means that they could both be true at the same time. For example, it is possible that some saints are materialists, while others are not.

Therefore, the only statements that are logically contradictory are statements A and D.

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