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Australian AMC 2019 - Intermediate Question 17

AMC AUSTRALIA · Australian AMC 2019 - Intermediate

Question 17

Asha chooses a whole number from 1 to 5 and announces it. Then Richy chooses a whole number from 1 to 5 and announces it. Finally, Asha chooses a whole number from 1 to 5 and announces it.
If the sum of the three numbers announced is a multiple of 7, then Asha wins; otherwise, Richy wins.
What number should Asha choose on her first turn to guarantee that she can win?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5