If all cats are mammals and some mammals are not dogs, can we say that some cats

₹0.0

Question: If all cats are mammals and some mammals are not dogs, can we say that some cats are not dogs?

Options:

Correct Answer: Cannot be determined

Solution:

The information does not allow us to conclude that some cats are not dogs, as there could be cats that are dogs.

If all cats are mammals and some mammals are not dogs, can we say that some cats are not dogs?

If all cats are mammals and some mammals are not dogs, can we say that some cats are not dogs?

Step 1: Understand that all cats belong to the group called mammals.
Step 2: Recognize that some mammals (which include cats) are not dogs.
Step 3: Realize that the statement does not specify whether the cats that are mammals are also dogs.
Step 4: Consider the possibility that there could be cats that are also dogs, which means we cannot conclude that some cats are not dogs.
Step 5: Therefore, based on the information given, we cannot definitively say that some cats are not dogs.

Logical Deduction – The ability to draw conclusions based on given premises.
Categorical Logic – Understanding relationships between different categories (e.g., cats, mammals, dogs).