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BEBRAS 2024 Grade 9-10 Round 2 Ext Question 13

BEBRAS · BEBRAS 2024 Grade 9-10 Round 2 Ext

Question 13

Sixteen beavers play four rounds to determine ranks 1–16. At every round, each group splits into equal winner and loser groups: winners go left and losers right. The process continues as shown.

Question illustration

“Vòng” means round and “Thứ hạng” means rank. A beaver winning rounds 1,2 but losing rounds 3,4 is ranked 4. If Noro loses exactly one round, which ranks could Noro obtain?
  1. 2,3,5 or 9
  2. 2,3,4 or 9
  3. 3,5,9 or 14
  4. 3,5 or 14