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BEBRAS 2026 Grade 11-12 Round 2 Ext Question 13

BEBRAS · BEBRAS 2026 Grade 11-12 Round 2 Ext

Question 13

Bob's mosaic uses grey or white shapes described as having 3,4,5 or 6 vertices. In every row and every column, both the number of white shapes and the total vertex count are odd. A wave replaced exactly two original shapes. The damaged mosaic is shown.

Question illustration

These five loose pieces were found nearby.

Question illustration

Which two are the original pieces that were replaced?

Editorial counting convention: count a star's five outer tips as 5 for this puzzle, rather than its ten boundary vertices. The five labelled loose pieces are individual objects, each usable at most once.
  1. A and B
  2. A and C
  3. B and D
  4. B and E