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Australian AMC 2018 - Upper Primary Question 22

AMC AUSTRALIA · Australian AMC 2018 - Upper Primary

Question 22

Beginning with a row of 20 coins, Anh takes the first coin, then every fourth coin after that.

From the remaining coins, Brenda takes the first coin and every third coin after that.

From the remaining coins, Chen takes the first coin and every second coin after that.

Dimitris takes all the remaining coins.

Does anyone get more coins than all the others?

Question illustration
  1. Yes, Anh does
  2. Yes, Brenda does
  3. Yes, Chen does
  4. Yes, Dimitris does
  5. No, they all get the same number of coins