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Australian AMC 2024 - Junior Question 24

AMC AUSTRALIA · Australian AMC 2024 - Junior

Question 24

A totally even number is a positive integer in which all the digits are even. The list of all totally even numbers begins as follows: 2, 4, 6, 8, 20, 22, 24, 26, 28, 40, … . The number 40 is in the 10 th position in this list. In which position is the totally even number 2024?
  1. 57
  2. 132
  3. 257
  4. 512
  5. 1012