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Australian AMC 2024 - Upper Primary Question 24

AMC AUSTRALIA · Australian AMC 2024 - Upper Primary

Question 24

A deck of playing cards originally contained 52 cards. Vicki loses some of these. When she deals the cards she has left equally between four people, she has three cards left over. When she deals them equally between six people, she has one card left over. Which of the following could be the number of cards Vicki lost?
  1. 2
  2. 10
  3. 11
  4. 17
  5. 21