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MathNet 2021 — Part 03 Question 46

Math Olympiad Vault · MathNet 2021 — Part 03

Question 46

The integers $1$ to $n$ are written on the board. One of the numbers is wiped out. The average of the remaining numbers is $11\frac{1}{4}$.
Which number has been wiped out?
  1. $6$
  2. $7$
  3. $11$
  4. $12$
  5. $21$