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MathNet 2026 — Part 02 Question 135

Math Olympiad Vault · MathNet 2026 — Part 02

Question 135

The school principal decided to take a picture of the 2008 graduates. He placed the students in parallel queues, all with the same number of students, but this arrangement was too wide for the field of view of his camera. To solve this problem, the director noticed that it was enough to take a student per queue and put them in a new queue. This provision did not please the director because the new queue had 4 students unless the others. He then decides to take 1 more student per queue by placing them in the new queue he created, and finds that all queues are left with the same number of students, and finally take the picture. How many students appeared in the photo?