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Some cars are fast. All fast vehicles are expensive. Therefore, some cars are ex

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

Options:

  1. Yes
  2. No
  3. Only if all cars are fast
  4. Only if some cars are expensive

Correct Answer: No

Solution: 

The conclusion is not valid because while some cars are fast, it does not imply that those fast cars are among the expensive vehicles.

Some cars are fast. All fast vehicles are expensive. Therefore, some cars are ex

Practice Questions

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

Questions & Step-by-Step Solutions

Some cars are fast. All fast vehicles are expensive. Therefore, some cars are expensive. Is this conclusion valid?
  • Logical Reasoning – The question tests the ability to evaluate the validity of conclusions drawn from premises.
  • Quantifiers in Logic – Understanding the implications of 'some' and 'all' in logical statements.
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