Question

If ALL DOGS are ANIMALS and SOME ANIMALS are CATS, which of the following conclusions is definitely true?

• A. Some dogs are cats.
• B. All cats are animals.
• C. Some animals are not dogs.
• D. All animals are dogs.

Hint:

Remember: "All A are B" means A is a subset of B; "Some A are B" means there is an overlap between A and B.

Answer 1

The Correct Option is B

Step 1: Provided Premises
All dogs are animals.
Some animals are cats.
Step 2: Evaluation of Options
(A) Some dogs are cats: This is not guaranteed, as dogs and cats could be mutually exclusive groups within the set of animals.
(B) All cats are animals: Given that some animals are cats, it logically follows that cats are a subset of animals. Therefore, this statement is true.
(C) Some animals are not dogs: This statement's truth value is indeterminate based on the given information.
(D) All animals are dogs: This is false, as evidenced by the fact that cats are animals but are not dogs.
Step 3: Determination
Option (B) is the only statement that is unequivocally true.