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IKMC 2016 - Grades 11-12 - Self-study Question 19

IKMC · IKMC 2016 - Grades 11-12 - Self-study

Question 19

Each of the ten points in the diagram is labelled 0, 1 or 2. The corner sum of every small white triangle is divisible by 3; the corner sum of every black triangle is not. Three labels are given. What values can label the inner point “?”?

Question illustration
  1. Only 0
  2. Only 1
  3. Only 2
  4. Only 0 or 1
  5. Either 0,1 or 2