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Which of the following statements are so related that they cannot both be true, nor can…

Paper 1 · Logical Reasoning UGC NET December 2023 (14.12.2023) Shift-I
Which of the following statements are so related that they cannot both be true, nor can they both be false? Choose the correct answer from the options given below.
  • 1. All mammals are vertebrates
  • 2. Some mammals are vertebrates
  • 3. Some mammals are not vertebrates
  • 4. No mammals are vertebrates
A1 and 2 only
B2 and 4 only ✓ Correct
C3 and 4 only
D1 and 4 only
Correct answer: (B) 2 and 4 only — The contradictory pair is some mammals are vertebrates and no mammals are vertebrates, so the answer is 2 and 4.
Explanation
The contradictory pair is some mammals are vertebrates and no mammals are vertebrates, so the answer is 2 and 4.
Contradictories cannot both be true and cannot both be false.
Some mammals are vertebrates is the particular affirmative, type I.
No mammals are vertebrates is the universal negative, type E.
Type I and type E are exact contradictories of each other.
The A and O pair would also contradict, but the option given here is the I and E pair, that is 2 and 4.

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