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IKMC 2027 - Grades 5-6 - Self-study SET 9 - Thematic Batch 3 Question 22

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 9 - Thematic Batch 3

Question 22

Jenny makes the bead-and-string grid shown. What is the smallest number of string segments she must cut to leave one closed necklace containing every original bead?

Question illustration

Cutting convention: remove whole connections between adjacent beads, without adding or rejoining strings. The result is one cycle through every bead.
  1. 18
  2. 19
  3. 20
  4. 21
  5. Such a necklace is impossible.