Question

If all cars are vehicles, and some vehicles are electric, which of the following must be true?

• A. All cars are electric.
• B. Some cars are electric.
• C. Some vehicles are not cars.
• D. No cars are electric.
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Hint:

In critical reasoning questions, focus on what must be true based on the premises. Use subset-superset relationships or Venn diagrams to deduce logical conclusions.

Answer 1

The Correct Option is C

- Step 1: Break down the premises. The question provides two premises:
- All cars are vehicles (cars are a subset of the broader vehicle category).
- Some vehicles are electric (at least one vehicle is electric).
- Step 2: Analyze logical implications. Since cars are a subset of vehicles, the vehicle category is broader, implying there are vehicles that are not cars (e.g., trucks, buses). The fact that some vehicles are electric does not necessarily involve cars.
- Step 3: Evaluate the options.
- Option (1): "All cars are electric" is not guaranteed, as the electric vehicles may not include cars.
- Option (2): "Some cars are electric" is possible but not certain, as the electric vehicles could be other types.
- Option (3): "Some vehicles are not cars" must be true, as the vehicle category includes non-car vehicles.
- Option (4): "No cars are electric" is not guaranteed, as some cars could be electric.
- Step 4: Confirm with a Venn diagram. Vehicles are a large circle, with cars as a smaller circle inside. The larger circle includes other vehicles, confirming some vehicles are not cars.
- Step 5: Verify necessity. Option (3) is the only statement that must be true, as the broader vehicle category ensures non-car vehicles exist.
- Step 6: Final conclusion. Option (3) Some vehicles are not cars is the correct answer, as it logically follows from the premises.
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