Which of the following statements are logically equivalent?

A. Some animals are not carnivorous organisms.

B. Some animals are not non-carnivorous organisms.

C. Some non-carnivorous organisms are not non-animals.

D. Some animals are non-carnivorous organisms.

Choose the correct answer from the options given below:

The correct answer is A, C and D only .
Key Points

Statement A: "Some animals are not carnivorous organisms" means that there are animals that do not eat meat. This is equivalent to statement D: "Some animals are non-carnivorous organisms" which also means that there are animals that do not eat meat.

Statement C: "Some non-carnivorous organisms are not non-animals" means that there are non-carnivorous organisms that are also animals. This is not exactly the same as statement A and D, but it is logically equivalent because if some animals are not carnivorous, then some non-carnivorous organisms must be animals.

Statement B: "Some animals are not non-carnivorous organisms" is the logical opposite of statement D, but it does not mean the same thing as statement A. It means that there are animals that are not non-meat eaters, which is equivalent to saying that there are animals that are meat eaters. This is not logically equivalent to statement A, which simply means that there are animals that do not eat meat.

Therefore, the correct answer is A, C, and D only.