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If all cars are vehicles and some vehicles are electric, can we conclude that so

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Question: If all cars are vehicles and some vehicles are electric, can we conclude that some cars are electric?

Options:

  1. Yes
  2. No
  3. Only if all electric vehicles are cars
  4. Cannot be determined

Correct Answer: No

Solution:

The conclusion is not valid because while some vehicles are electric, it does not imply that any cars are electric.

If all cars are vehicles and some vehicles are electric, can we conclude that so

Practice Questions

Q1
If all cars are vehicles and some vehicles are electric, can we conclude that some cars are electric?
  1. Yes
  2. No
  3. Only if all electric vehicles are cars
  4. Cannot be determined

Questions & Step-by-Step Solutions

If all cars are vehicles and some vehicles are electric, can we conclude that some cars are electric?
  • Step 1: Understand that all cars belong to the category 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 some vehicles are electric, it does not mean that any of those vehicles are cars.
  • Step 4: Conclude that we cannot say that some cars are electric based on the information given.
  • 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.
  • Quantifiers in Logic – Understanding the implications of 'all', 'some', and 'none' in logical statements.
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