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If the first two statements are true, is the final statement true? 1. All cats a

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Question: If the first two statements are true, is the final statement true? 1. All cats are mammals. 2. Some mammals are not dogs. 3. Therefore, some cats are not dogs.

Options:

  1. True
  2. False
  3. Cannot be determined
  4. Only if stated

Correct Answer: True

Solution: 

Since all cats are mammals and some mammals are not dogs, it follows that some cats are not dogs.

If the first two statements are true, is the final statement true? 1. All cats a

Practice Questions

Q1
If the first two statements are true, is the final statement true? 1. All cats are mammals. 2. Some mammals are not dogs. 3. Therefore, some cats are not dogs.
  1. True
  2. False
  3. Cannot be determined
  4. Only if stated

Questions & Step-by-Step Solutions

If the first two statements are true, is the final statement true? 1. All cats are mammals. 2. Some mammals are not dogs. 3. Therefore, some cats are not dogs.
  • Step 1: Understand that all cats belong to the group called mammals.
  • Step 2: Recognize that there are some mammals that are not dogs.
  • Step 3: Since all cats are mammals, and some mammals are not dogs, it means that those cats that are mammals could also be part of the group that is not dogs.
  • Step 4: Therefore, we can conclude that some cats are not dogs.
  • 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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