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IKMC 2027 - Grades 11-12 - Self-study SET 6 - Thematic Batch 3 Question 15

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 6 - Thematic Batch 3

Question 15

The pictured solid has 12 regular pentagonal faces; its other faces are equilateral triangles and squares. Each pentagon is surrounded by five squares, and each triangle by three squares. John writes 0 on triangles, 5 on pentagons, and −1 on squares. What is the sum of all labels?

Question illustration
  1. 0
  2. 30
  3. 40
  4. 60
  5. 120