Which of the following statement is logically equivalent to the statement "All tigers are hunting animals"?

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UGC NET Paper 1: Held on 11th Mar 2023 Shift 2
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  1. Some hunting animals are tigers.
  2. No tigers are non-hunting animals. 
  3. No hunting animals are tigers.
  4. Some hunting animals are not tigers.

Answer (Detailed Solution Below)

Option 2 : No tigers are non-hunting animals. 
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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The correct answer is No tigers are non-hunting animals. 

Key Points The statement "No tigers are non-hunting animals" is logically equivalent to the statement "All tigers are hunting animals."

Both statements express the same relationship between tigers and non-hunting animals, but they present it in a different form. The original statement asserts that there are no tigers that belong to the category of non-hunting animals. In logical terms, it can be represented as:

No tigers → Non-hunting animals.
To make it logically equivalent, we can rephrase the statement using the principle of contraposition:

All non-hunting animals → Not tigers.
By using the contrapositive, we can see that the two statements express the same idea. They both convey that every member of the non-hunting animal category cannot be found within the category of tigers.

Hence, the correct answer is No tigers are non-hunting animals. 

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