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BEBRAS 2024 Grade 9-10 Round 2 Ext Question 3

BEBRAS · BEBRAS 2024 Grade 9-10 Round 2 Ext

Question 3

Alex’s farm has different crops arranged as shown.

Question illustration

Each installed pump waters a fixed square region of size 4×4, 2×2 or 1×1. A pump may water only one crop type. When all pumps are on, every plant must receive water from exactly one pump. What is the minimum number of pumps needed?
  1. 27
  2. 25
  3. 21
  4. 19