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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 (03.09.2024) Shift-I
Which of the following statements are logically equivalent? Choose the correct answer from the options given below.
  • 1. Some drinks are not liquids.
  • 2. Some drinks are liquids.
  • 3. Some non-liquids are not non-drinks.
  • 4. Some drinks are non-liquids.
A1, 2 only
B2, 3, 4 only
C2, 3 only
D1, 3, 4 only ✓ Correct
Correct answer: (D) 1, 3, 4 only — Statements 1, 3 and 4 are logically equivalent, so that is the answer.
Explanation
Statements 1, 3 and 4 are logically equivalent, so that is the answer.
'Some drinks are not liquids' is a particular negative.
'Some drinks are non-liquids' is its obverse, saying the same thing.
'Some non-liquids are not non-drinks' reduces to the same content.
So statements 1, 3 and 4 share identical logical meaning.
Hence 1, 3 and 4 is correct.

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