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If the first two statements are true, is the conclusion true? 1. All dogs are an

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Question: If the first two statements are true, is the conclusion true? 1. All dogs are animals. 2. Some animals are cats. Conclusion: Some dogs are cats.

Options:

  1. True
  2. False
  3. Cannot be determined
  4. Only if they are friends

Correct Answer: False

Solution:

The conclusion is false as it does not logically follow from the premises.

If the first two statements are true, is the conclusion true? 1. All dogs are an

Practice Questions

Q1
If the first two statements are true, is the conclusion true? 1. All dogs are animals. 2. Some animals are cats. Conclusion: Some dogs are cats.
  1. True
  2. False
  3. Cannot be determined
  4. Only if they are friends

Questions & Step-by-Step Solutions

If the first two statements are true, is the conclusion true? 1. All dogs are animals. 2. Some animals are cats. Conclusion: Some dogs are cats.
  • Step 1: Understand the first statement: 'All dogs are animals.' This means every dog belongs to the group of animals.
  • Step 2: Understand the second statement: 'Some animals are cats.' This means there are some animals that are specifically cats.
  • Step 3: Analyze the conclusion: 'Some dogs are cats.' This means that there are some dogs that are also cats.
  • Step 4: Check if the conclusion logically follows from the first two statements. Since all dogs are animals and some animals are cats, it does not mean that any dogs are cats.
  • Step 5: Conclude that the conclusion is false because the statements do not provide enough information to say that some dogs are cats.
  • Logical Deduction – The ability to determine the validity of a conclusion based on given premises.
  • Syllogism – A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).
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