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All cars are vehicles. Some vehicles are not trucks. Which of the following conc

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Question: All cars are vehicles. Some vehicles are not trucks. Which of the following conclusions can be drawn?

Options:

  1. All vehicles are cars.
  2. Some cars are not trucks.
  3. All trucks are vehicles.
  4. Some vehicles are cars.

Correct Answer: Some cars are not trucks.

Solution:

Since all cars are vehicles and some vehicles are not trucks, it follows that some cars must not be trucks.

All cars are vehicles. Some vehicles are not trucks. Which of the following conc

Practice Questions

Q1
All cars are vehicles. Some vehicles are not trucks. Which of the following conclusions can be drawn?
  1. All vehicles are cars.
  2. Some cars are not trucks.
  3. All trucks are vehicles.
  4. Some vehicles are cars.

Questions & Step-by-Step Solutions

All cars are vehicles. Some vehicles are not trucks. Which of the following conclusions can be drawn?
  • Step 1: Understand that all cars belong to the category of vehicles.
  • Step 2: Recognize that there are some vehicles that are not trucks.
  • Step 3: Since all cars are vehicles, we need to see if any of those cars could be part of the vehicles that are not trucks.
  • Step 4: Conclude that because some vehicles are not trucks, and all cars are vehicles, it is possible that some cars are included in the vehicles that are not trucks.
  • Step 5: Therefore, we can say that some cars must not be trucks.
  • Logical Deduction – The ability to draw conclusions based on given premises.
  • Categorical Logic – Understanding relationships between categories (e.g., cars, vehicles, trucks).
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