Question 121
There are 2024 cards of the same size, face-down on a table, on which the integers $1$, $2$, $3$, $\dots$, $2024$ are written. We say that a card is a *winner* if it has a number divisible by $13$ or by $100$. What is the minimum number of cards we need to turn face up to make sure that we obtain at least one winner?