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If all cats are mammals and some mammals are not pets, then some cats _____.

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Question: If all cats are mammals and some mammals are not pets, then some cats _____.

Options:

  1. are pets
  2. are not pets
  3. are dogs
  4. are reptiles

Correct Answer: are not pets

Solution: 

The logical deduction is that since some mammals are not pets, it follows that some cats may also not be pets.

If all cats are mammals and some mammals are not pets, then some cats _____.

Practice Questions

Q1
If all cats are mammals and some mammals are not pets, then some cats _____.
  1. are pets
  2. are not pets
  3. are dogs
  4. are reptiles

Questions & Step-by-Step Solutions

If all cats are mammals and some mammals are not pets, then some cats _____.
  • Step 1: Understand that all cats belong to the group of mammals.
  • Step 2: Recognize that some mammals do not fall into the category of pets.
  • Step 3: Since all cats are mammals, we need to consider the possibility that some of these mammals (which include cats) might not be pets.
  • Step 4: Conclude that it is possible for some cats to also not be pets because they are part of the group of mammals that includes non-pets.
  • Logical Deduction – The ability to draw conclusions based on given premises.
  • Categorical Logic – Understanding relationships between categories (e.g., all, some) in logical statements.
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