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Australian AMC 2010 - Upper Primary Question 23

AMC AUSTRALIA · Australian AMC 2010 - Upper Primary

Question 23

My birthday is 18 November. Four of my friends’ birthdays are 1 November, 12 November, 21 November and 1 December. The five of us decide to hold a birthday party on the date closest to all the birthdays. (This means that the sum of the days from the chosen date to each birthday is as small as possible.) Which date should this be?
  1. 12 November
  2. 19 November
  3. 15 November
  4. 18 November
  5. 17 November