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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 (23.02.2023) Shift-II
Which of the following statements are so related that they cannot both be false, although they may both be true?
  • All mushrooms are fungi
  • No mushrooms are fungi
  • Some mushrooms are fungi
  • Some mushrooms are not fungi
A3 & 4 only ✓ Correct
B1 & 2 only
C1 & 3 only
D2 & 4 only
Correct answer: (A) 3 & 4 only — The subcontrary pair is Some are fungi and Some are not fungi, so the answer is 3 and 4.
Explanation
The subcontrary pair is Some are fungi and Some are not fungi, so the answer is 3 and 4.
Two subcontrary statements cannot both be false, though both can be true.
Statement 3 is the particular affirmative, Some mushrooms are fungi.
Statement 4 is the particular negative, Some mushrooms are not fungi.
These two particulars are subcontraries.
They cannot both be false at once, yet both can be true together.
So the answer is items 3 and 4.

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