Question: If all cats are animals and some animals are not dogs, which of the following statements is true?
Options:
All cats are dogs.
Some cats are not animals.
Some animals are cats.
No cats are animals.
Correct Answer: Some animals are cats.
Solution:
The statement \'Some animals are cats\' is true based on the premises given.
If all cats are animals and some animals are not dogs, which of the following st
Practice Questions
Q1
If all cats are animals and some animals are not dogs, which of the following statements is true?
All cats are dogs.
Some cats are not animals.
Some animals are cats.
No cats are animals.
Questions & Step-by-Step Solutions
If all cats are animals and some animals are not dogs, which of the following statements is true?
Step 1: Understand the first premise: 'All cats are animals.' This means every cat belongs to the group of animals.
Step 2: Understand the second premise: 'Some animals are not dogs.' This means there are animals that do not belong to the group of dogs.
Step 3: Since all cats are animals, and we know that some animals are not dogs, it is possible that some of those animals that are not dogs could be cats.
Step 4: Therefore, we can conclude that 'Some animals are cats' is a true statement based on the information given.
Logical Deduction – The ability to draw conclusions from given premises.
Categorical Logic – Understanding relationships between categories (e.g., all, some) in logical statements.
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