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AMO 2027 Grades 8-9 SET 13 - Self-study Question 6

AMO · AMO 2027 Grades 8-9 SET 13 - Self-study

Question 6

Exercise 10. A fruiterer has a certain number of apples. If he arranges them in groups of 2, 3, 4, 5, 6, 7, 8 or 9, he will always have one left over for each group. What is the least number of apples he can possibly have?

**Editorial input convention:** Both minima are accepted: the literal remainder-only reading, or the reading requiring at least one full group of every size. The solution explains each.