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BEBRAS 2025 Grade 7-8 Round 2 Ext Question 12

BEBRAS · BEBRAS 2025 Grade 7-8 Round 2 Ext

Question 12

Two boxes X and Y each have ten numbered compartments containing apples (A) or oranges (O), as shown.

Question illustration

Move[m,n] swaps the fruits between X and Y at every corresponding position m through n. Magic[m,n] changes each fruit in both boxes at positions m through n to the other type. Apply Magic[5,7], then Move[2,5], then Magic[7,10]. How many more apples does X then contain than Y?
  1. 2
  2. 4
  3. 1
  4. 3