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What must be true if A sits next to B and B does not sit next to C?

  1. A sits next to C

  2. C sits next to B

  3. C does not sit next to A

  4. Cannot be determined

The correct answer is: C does not sit next to A

If A sits next to B and B does not sit next to C, then it follows that C does not sit next to A. This is because if A is next to B and B is not next to C, then C cannot be sitting next to A. This is the only option that directly follows from the given information provided in the question stem. Option A cannot be true because it contradicts the information given that B does not sit next to C. Option B is incorrect as it does not necessarily follow from the information given. Option D, "Cannot be determined," is incorrect because based on the information provided, it is possible to determine that C does not sit next to A.