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No fish are mammals. Some mammals are not dogs. Therefore, some fish are not dog

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Question: No fish are mammals. Some mammals are not dogs. Therefore, some fish are not dogs. Is this conclusion valid?

Options:

  1. Yes
  2. No
  3. Only if all mammals are dogs
  4. Cannot be determined

Correct Answer: No

Solution: 

The conclusion is not valid because the relationship between fish and dogs is not established.

No fish are mammals. Some mammals are not dogs. Therefore, some fish are not dog

Practice Questions

Q1
No fish are mammals. Some mammals are not dogs. Therefore, some fish are not dogs. Is this conclusion valid?
  1. Yes
  2. No
  3. Only if all mammals are dogs
  4. Cannot be determined

Questions & Step-by-Step Solutions

No fish are mammals. Some mammals are not dogs. Therefore, some fish are not dogs. Is this conclusion valid?
  • Logical Reasoning – The question tests the ability to analyze syllogistic reasoning and determine the validity of conclusions based on given premises.
  • Categorical Logic – It involves understanding the relationships between different categories (fish, mammals, dogs) and how they interact.
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