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Which of the following statements are so related that if one of them is true the…

Paper 1 · Logical Reasoning UGC NET December 2022 (12.03.2023) Shift-II (Management)
Which of the following statements are so related that if one of them is true the other must be false and vice-versa?
  • All human beings are mortal
  • Some human beings are mortal
  • Some human beings are not mortal
  • No human beings are mortal
A1 & 3 only ✓ Correct
B2 & 3 only
C3 & 4 only
D1 & 4 only
Correct answer: (A) 1 & 3 only — The answer is 1 and 3.
Explanation
The answer is 1 and 3.
Statement 1 is a universal affirmative, an A type proposition.
Statement 3 is a particular negative, an O type proposition.
An A proposition and its O proposition are contradictories.
If one is true the other must be false and vice-versa.
So statements 1 and 3 are the contradictory pair.
So the answer is 1 and 3.

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