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IKMC 2027 - Grades 5-6 - Self-study SET 11 - Thematic Batch 3 Question 13

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 11 - Thematic Batch 3

Question 13

An exhibition centre has 25 equilateral-triangle rooms arranged as shown. Each room has a door on each of its three sides leading to a neighbouring room or outside. A visitor wants to see as many rooms as possible while passing through each room at most once. What is the maximum number of rooms the visitor can see?

Question illustration

Source-intended route convention: one entrance and one exit, with no leaving the building and re-entering during the visit.
  1. 10
  2. 15
  3. 19
  4. 21
  5. 25