If 'All cats are mammals' and 'Some mammals are not cats', which of the followin

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Question: If \'All cats are mammals\' and \'Some mammals are not cats\', which of the following is true?

Options:

Correct Answer: Some mammals are cats

Solution:

The statement \'Some mammals are cats\' is true based on the given premises.

If 'All cats are mammals' and 'Some mammals are not cats', which of the following is true?

If 'All cats are mammals' and 'Some mammals are not cats', which of the following is true?

Step 1: Understand the first statement: 'All cats are mammals'. This means every cat belongs to the group of mammals.
Step 2: Understand the second statement: 'Some mammals are not cats'. This means there are mammals that do not belong to the group of cats.
Step 3: From the first statement, since all cats are mammals, it implies that there are some mammals that are cats.
Step 4: Therefore, we can conclude that 'Some mammals are cats' is true because there are mammals (the cats) that fit into the category of mammals.

Logical Deduction – The ability to derive conclusions from given premises using logical reasoning.
Quantifiers in Logic – Understanding the implications of universal ('All') and particular ('Some') quantifiers in logical statements.