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AMO 2027 Grades 9-11 SET 4 - Self-study Question 15

AMO · AMO 2027 Grades 9-11 SET 4 - Self-study

Question 15

Jessica lies on Wednesdays, Thursdays and Fridays, and tells the truth on every other day. Tim lies on Sundays, Mondays and Tuesdays, and tells the truth on every other day. On what day can both say, “Tomorrow, I will lie”?

Enter the weekday code: Monday = 001, Tuesday = 002, Wednesday = 003, Thursday = 004, Friday = 005, Saturday = 006, Sunday = 007. The original paper asks for shaded digits; here type the code (leading zeros are optional).

Enter one positive integer, without units.