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Part ACSIR NET September 2022must-be-true-vs-can-be

Must be true vs can be

The arithmetic mean of five numbers is zero. The numbers may not be distinct. Which of the following must be true?

  1. A.The product of the numbers is zero
  2. B.At most two of these numbers are positive
  3. C.There cannot be exactly one zero
  4. D.There cannot be exactly one non-zero number✓

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

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