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If all mammals have lungs and some whales are mammals, can we conclude that some

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Question: If all mammals have lungs and some whales are mammals, can we conclude that some whales have lungs?

Options:

  1. Yes
  2. No
  3. Only if all mammals are whales
  4. Only if some whales are not mammals

Correct Answer: Yes

Solution:

The conclusion is valid because if all mammals have lungs and some whales are mammals, then those whales must have lungs.

If all mammals have lungs and some whales are mammals, can we conclude that some

Practice Questions

Q1
If all mammals have lungs and some whales are mammals, can we conclude that some whales have lungs?
  1. Yes
  2. No
  3. Only if all mammals are whales
  4. Only if some whales are not mammals

Questions & Step-by-Step Solutions

If all mammals have lungs and some whales are mammals, can we conclude that some whales have lungs?
  • Step 1: Understand that all mammals have lungs. This means every single mammal, without exception, has lungs.
  • Step 2: Recognize that some whales are classified as mammals. This means there are certain whales that belong to the group of animals known as mammals.
  • Step 3: Since all mammals have lungs, and we know that some whales are mammals, we can say that those specific whales that are mammals must also have lungs.
  • Step 4: Therefore, we can conclude that some whales have lungs because they are part of the group (mammals) that always have lungs.
  • Logical Deduction – The ability to draw conclusions based on given premises.
  • Categorical Logic – Understanding relationships between categories (e.g., mammals and whales) and their properties.
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