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Which of the following statements are logically equivalent? Choose the correct answer from the options given…

Paper 1 · Logical Reasoning UGC NET June 2024 Re-Exam (26.08.2024) Shift-II
Which of the following statements are logically equivalent? Choose the correct answer from the options given below.
  • 1. Some non-intelligent animals are non-apes
  • 2. Some apes are not intelligent animals
  • 3. Some apes are non-intelligent animals
  • 4. Some non-intelligent animals are not non-apes
A1, 2 and 3 only
B1 and 3 only
C1 and 4 only
D2, 3 and 4 only ✓ Correct
Correct answer: (D) 2, 3 and 4 only — Statements 2, 3 and 4 are logically equivalent, so the answer is 2, 3 and 4.
Explanation
Statements 2, 3 and 4 are logically equivalent, so the answer is 2, 3 and 4.
Statement 2 says some apes are not intelligent animals.
Statement 3, some apes are non-intelligent animals, expresses the same idea in obverted form.
Statement 4, some non-intelligent animals are not non-apes, reduces to some apes are not intelligent animals.
So these three share the same meaning and truth conditions.
Statement 1 makes a different claim, so it is not equivalent to these.

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