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AMO 2017 Grade 4 Question 16

AMO · AMO 2017 Grade 4

Question 16

Ari, Barry, and Carrie chose a number. Ari said the number was a multiple of 3, 5, and 11. Barry said the number was a multiple of 2 and 7. Carrie said the number had 4 digits, one of which was a 9, but none of which were 6. What are the first three digits of the number they chose?