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IMAS 2025–2026 — Junior Division — Round 2 Question 5

IMAS · IMAS 2025–2026 — Junior Division — Round 2

Question 5

Students are divided into many teams to participate in a contest in two different halls. If 120 students have exactly two teammates in the other hall, 160 students have at least one other teammate in each of the two halls and no three teammates are in the same hall, how many students have exactly one other teammate in each hall?
  1. $32$
  2. $40$
  3. $60$
  4. $64$
  5. $80$