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Identify the following propositions which are logically equivalent. Choose the correct answer from the options given…

Paper 1 · Logical Reasoning UGC NET June 2024 Re-Exam (29.08.2024) Shift-I
Identify the following propositions which are logically equivalent. Choose the correct answer from the options given below.
  • 1. Some books are novels.
  • 2. Some books are not non-novels.
  • 3. Some novels are not non-books.
  • 4. Some novels are books.
A3, 4 only
B1, 4 only
C1, 3 only
D1, 2, 3, 4 ✓ Correct
Correct answer: (D) 1, 2, 3, 4 — All four propositions are logically equivalent, so that is the answer.
Explanation
All four propositions are logically equivalent, so that is the answer.
'Some books are novels' is a particular affirmative.
Its obverse is 'some books are not non-novels'.
Its converse is 'some novels are books'.
By obversion and conversion all four say the same thing.
Hence all of 1 to 4 is correct.

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