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IKMC 2009 - Grades 7-8 - Self-study Question 29

IKMC · IKMC 2009 - Grades 7-8 - Self-study

Question 29

Friday writes different positive whole numbers, all less than 11, next to each other in the sand. Robinson Crusoe notices that adjacent numbers are always divisible by each other. What is the maximum number of numbers Friday could have written?

Editorial reading: for each adjacent pair, one number is divisible by the other; they are not required to divide each other in both directions.
  1. 6
  2. 7
  3. 8
  4. 9
  5. 10