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If some cars are blue and all blue things are heavy, which of the following statements must be true?*Some heavy things are cars.All cars are heavy.Some blue things are cars.All heavy things are cars.

Question

If some cars are blue and all blue things are heavy, which of the following statements must be true?*Some heavy things are cars.All cars are heavy.Some blue things are cars.All heavy things are cars.

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Solution

The statement that must be true is "Some heavy things are cars." Here's why:

  1. The problem states that "some cars are blue." This means that there is at least one car that is blue.

  2. The problem also states that "all blue things are heavy." This means that anything that is blue is also heavy.

  3. Therefore, if there is at least one car that is blue, and all blue things are heavy, then there must be at least one car that is heavy. So, "some heavy things are cars" must be true.

The other statements are not necessarily true based on the information given:

  • "All cars are heavy" is not necessarily true because the problem only states that some cars are blue (and therefore heavy), not all cars.

  • "Some blue things are cars" is not necessarily true because the problem doesn't state that all blue things are cars, just that some cars are blue.

  • "All heavy things are cars" is not necessarily true because the problem doesn't state that all heavy things are cars, just that all blue things (which includes some cars) are heavy.

This problem has been solved

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