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MathNet 2006 — Part 02 Question 127

Math Olympiad Vault · MathNet 2006 — Part 02

Question 127

Capitu has one hundred cards numbered from $1$ to $100$. All cards have one side yellow and the other red, and the number of each card is written on both sides. The cards were placed on a table, all with the red side facing up. Capitu turned over all the even-numbered cards and then all the multiple-numbered cards of $3$, placing them with the yellow side facing up. How many cards were red face up?