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MathNet 2026 — Part 01 Question 130

Math Olympiad Vault · MathNet 2026 — Part 01

Question 130

Difference of squares - If the difference of squares of two consecutive integers is $2000$, then the two numbers are:
  1. smaller than $100$.
  2. less than $1000$, but larger than $99$.
  3. less than $10000$, but larger than $999$.
  4. less than $100000$, but larger than $9999$.
  5. There are no two numbers.