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Australian AMC 2016 - Upper Primary Question 21

AMC AUSTRALIA · Australian AMC 2016 - Upper Primary

Question 21

I have five coloured discs in a pile as shown.

I take the top two discs and put them on the bottom (with the red disc still on top of the blue disc).

Then I again take the top two discs and put them on the bottom.

If I do this until I have made a total of 21 moves, which disc will be on the bottom?

Question illustration
  1. red
  2. blue
  3. green
  4. yellow
  5. orange