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IMAS 2025-2026 Junior Division - First Round Question 19

IMAS · IMAS 2025-2026 Junior Division - First Round

Question 19

A perfect square greater than 1 is called a “good number” if it can be expressed as a sum of consecutive positive integers starting from 1. For example, 36 is a good number since $36=6^2=1+2+3+4+5+6+7+8$. Including 36, how many good numbers are less than or equal to 2025?
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$