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IMAS 2021–2022 Junior — Round 1 Question 15

IMAS · IMAS 2021–2022 Junior — Round 1

Question 15

Let $a$ be a positive integer, where the positive difference of every two digits of $a$ in base 10 are all written on a board. If some of the numbers are erased and only the numbers 2, 0, 2 and 2 are left, what is the least possible value of $a$?
  1. 1011
  2. 1112
  3. 1113
  4. 2000
  5. 2022