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All cars require fuel. Some vehicles are cars. Therefore, some vehicles require

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

Options:

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

Correct Answer: Yes

Solution:

The conclusion is valid because if some vehicles are cars and all cars require fuel, then those vehicles must require fuel.

All cars require fuel. Some vehicles are cars. Therefore, some vehicles require

Practice Questions

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

Questions & Step-by-Step Solutions

All cars require fuel. Some vehicles are cars. Therefore, some vehicles require fuel. Is this conclusion valid?
  • Step 1: Understand that all cars need fuel. This means every car requires fuel to operate.
  • Step 2: Recognize that some vehicles are classified as cars. This means there are certain vehicles that fall into the category of cars.
  • Step 3: Since all cars require fuel, and some vehicles are cars, it follows that those specific vehicles (which are cars) also require fuel.
  • Step 4: Conclude that because some vehicles are cars and all cars need fuel, it is valid to say that some vehicles require fuel.
  • Logical Deduction – The ability to draw conclusions based on given premises.
  • Syllogism – A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).
  • Quantifiers in Logic – Understanding the use of 'all' and 'some' in logical statements.
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