Question: If \'ALL CATS ARE ANIMALS\' is true, which of the following is also true?
Options:
Some animals are cats
No cats are animals
All animals are cats
Some cats are not animals
Correct Answer: Some animals are cats
Solution:
If all cats are animals, then it follows that some animals are indeed cats.
If 'ALL CATS ARE ANIMALS' is true, which of the following is also true?
Practice Questions
Q1
If 'ALL CATS ARE ANIMALS' is true, which of the following is also true?
Some animals are cats
No cats are animals
All animals are cats
Some cats are not animals
Questions & Step-by-Step Solutions
If 'ALL CATS ARE ANIMALS' is true, which of the following is also true?
Step 1: Understand the statement 'ALL CATS ARE ANIMALS'. This means every cat belongs to the group of animals.
Step 2: If every cat is an animal, then there must be at least some animals that are cats.
Step 3: This is because if all members of one group (cats) are included in another group (animals), then the second group must contain members from the first group.
Logical Deduction – Understanding the implications of universal statements in logic.
Quantifiers in Logic – Recognizing the difference between universal and existential quantifiers.
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