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Australian AMC 2024 - Upper Primary Question 25

AMC AUSTRALIA · Australian AMC 2024 - Upper Primary

Question 25

Kiko and 5 of her friends are seated around a restaurant table. Each person introduces themself, telling everyone how many of the people at the table they’ve previously met. Naturally, Kiko has met all 5. Coincidentally, the other 5 have all met the same number as each other. Which of the following is not a possibility for this number that all 5 of Kiko’s friends have met?

Question illustration
  1. 1
  2. 3
  3. 4
  4. 5
  5. All of (A) to (D) are possible.