AMO 2027 Grades 4-5 SET 6 - Self-study Question 14

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.