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AMC10 2027 - Self-practice Set 5 Question 21

AMC10 · AMC10 2027 - Self-practice Set 5

Question 21

Steve writes a list of $10000$ digits by repeatedly writing $1,2,3,4,5$: $123451234512345\ldots$. He erases every third digit, counting from the left. He then erases every fourth digit of the remaining list, and finally every fifth digit of the new list. What is the sum of the digits in positions $2019,2020,2021$ of the final list?
  1. $7$
  2. $9$
  3. $10$
  4. $11$
  5. $12$