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AMO 2027 Grades 6-7 SET 16 - Self-study Question 11

AMO · AMO 2027 Grades 6-7 SET 16 - Self-study

Question 11

Find how many three-digit numbers satisfy all the following conditions:
• if it is divided by 2, the remainder is 1,
• if it is divided by 3, the remainder is 2,
• if it is divided by 4, the remainder is 3,
• if it is divided by 5, the remainder is 4,
• if it is divided by 8, the remainder is 7.