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HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 02 Question 1

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 02

Question 1

Michael has $n$ balls labelled with consecutive natural numbers $1,2,\ldots,n$. His brother removes one ball without telling him. The labels on the remaining balls sum to 210. Find $n$.
  1. 20
  2. 21
  3. 19
  4. 22