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MathNet 2026 — Part 02 Question 183

Math Olympiad Vault · MathNet 2026 — Part 02

Question 183

Rosa, Margarida and Dália are three constellations in the form of bouquets of flowers. We know that:
a. The number of stars of Dalia, which is the smallest of the three, is the square of a square;
b. The number of stars of rose is also the square of a square;
c. Daisy has 28561 stars;
d. Dália and Rosa have the same number of stars together as Daisy. How many stars have Dalia and pink each?