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

  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.

(Option $1 [39809]) 1$
(Option $2 [39810]) 2$
(Option $3 [39811]) 3$
(Option $4 [39812]) 4$

1 Answer

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Correct Answer is option A.
A:
 No tigers are non-hunting animals

This is logically equivalent because if all tigers are hunting animals, then it's impossible for any tiger to be a non-hunting animal. This is called the contrapositive, and it always holds the same truth value as the original statement.

Other options are incorrect:

B: Some hunting animals are tigers
This could be true, but it's not equivalent. It only says some hunting animals are tigers — not all tigers are hunting animals.

C: No hunting animals are tigers
This directly contradicts the original statement. If all tigers are hunting animals, then clearly some hunting animals (the tigers) must exist.

D: Some hunting animals are not tigers
This might be true in reality, but it says nothing about whether all tigers are hunting animals. It's unrelated to the original statement's logic.

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