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AMO · 2027 · Grades 6-7 · Self-study SET 23 Question 13

AMO

Question 13

I have a set of four numbers $P,Q,R,S$ in ascending order. The average of $P,Q,R$ is 22, and the average of $Q,R,S$ is 24. The largest number is 27. Then the smallest number in this set:

**Input:** Choose one option.
  1. is prime
  2. is a multiple of 9
  3. is a multiple of 11
  4. is a multiple of 7
  5. cannot be determined with this information