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Which of the following statements are so related that they cannot both be false, although they…

Paper 1 · Logical Reasoning UGC NET December 2022 (24.02.2023) Shift-II
Which of the following statements are so related that they cannot both be false, although they may both be true?
  • All metals are gases
  • Some metals are gases
  • Some metals are not gases
  • No metals are gases
A1 & 4 only
B2 & 3 only ✓ Correct
C1 & 2 only
D3 & 4 only
Correct answer: (B) 2 & 3 only — The subcontrary pair is Some metals are gases and Some metals are not gases, so the answer is 2 and 3.
Explanation
The subcontrary pair is Some metals are gases and Some metals are not gases, so the answer is 2 and 3.
Two subcontrary statements cannot both be false, though both can be true.
Statement 2 is the particular affirmative, Some metals are gases.
Statement 3 is the particular negative, Some metals are not gases.
These two particulars are subcontraries.
They cannot both be false at once, yet both can be true together.
So the answer is items 2 and 3.

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