Question: If all cats are animals and some animals are not pets, can we conclude that some cats are not pets?
Options:
Yes
No
Cannot be determined
All cats are pets
Correct Answer: Cannot be determined
Solution:
The information does not allow us to conclude anything about cats being pets.
If all cats are animals and some animals are not pets, can we conclude that some
Practice Questions
Q1
If all cats are animals and some animals are not pets, can we conclude that some cats are not pets?
Yes
No
Cannot be determined
All cats are pets
Questions & Step-by-Step Solutions
If all cats are animals and some animals are not pets, can we conclude that some cats are not pets?
Step 1: Understand that all cats belong to the group of animals.
Step 2: Recognize that some animals are not pets, meaning there are animals that do not live with humans as pets.
Step 3: Realize that just because some animals are not pets, it does not mean that any specific group of animals (like cats) must also include non-pets.
Step 4: Conclude that we cannot definitively say that some cats are not pets based on the information given.
Logical Deduction – The question tests the ability to deduce conclusions from given premises using logical reasoning.
Quantifiers in Logic – Understanding the implications of universal ('all') and existential ('some') quantifiers in logical statements.
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