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All cars are vehicles. Some vehicles are electric. Therefore, some cars are elec

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Question: All cars are vehicles. Some vehicles are electric. Therefore, some cars are electric. Is this conclusion valid?

Options:

  1. Yes
  2. No
  3. Only if all vehicles are cars
  4. Only if some cars are electric

Correct Answer: No

Solution: 

The conclusion is not valid because while all cars are vehicles, it does not mean that any specific cars are electric.

All cars are vehicles. Some vehicles are electric. Therefore, some cars are elec

Practice Questions

Q1
All cars are vehicles. Some vehicles are electric. Therefore, some cars are electric. Is this conclusion valid?
  1. Yes
  2. No
  3. Only if all vehicles are cars
  4. Only if some cars are electric

Questions & Step-by-Step Solutions

All cars are vehicles. Some vehicles are electric. Therefore, some cars are electric. Is this conclusion valid?
  • Step 1: Understand that all cars belong to the group of vehicles.
  • Step 2: Recognize that some vehicles are electric, but this does not specify which vehicles are electric.
  • Step 3: Realize that just because all cars are vehicles, it does not mean that any of those cars are electric.
  • Step 4: Conclude that the statement 'some cars are electric' cannot be confirmed based on the information given.
  • Syllogism – A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).
  • Logical Fallacy – An error in reasoning that renders an argument invalid.
  • Quantifiers in Logic – Understanding the implications of universal and particular quantifiers in logical statements.
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