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Which of the following statements are contradictory to each other?

Paper 1 · Logical Reasoning UGC NET December 2022 (11.03.2023) Shift-II (Computer)
Which of the following statements are contradictory to each other?
  • All human beings are mortal
  • No human beings are mortal
  • Some human beings are mortal
  • Some human beings are not mortal
A1 & 2 only
B2 & 3 only ✓ Correct
C3 & 4 only
D2 & 4 only
Correct answer: (B) 2 & 3 only — The contradictory pair is No human beings are mortal and Some human beings are mortal, so the answer is 2 and 3.
Explanation
The contradictory pair is No human beings are mortal and Some human beings are mortal, so the answer is 2 and 3.
Two contradictory statements always have opposite truth values.
No human beings are mortal is the universal negative, item 2.
Some human beings are mortal is the particular affirmative, item 3.
The universal negative and the particular affirmative are exact contradictories.
So they cannot both be true and cannot both be false.
So the answer is items 2 and 3.

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