5. In a chess tournament (played in a round-robin system) with 30 participants, to achieve the 4th category rating, a player needs to score $60 \%$ of the points. What is the maximum number of chess players who can achieve the category rating by the end of the tournament?
5. In total, $30 \cdot 29: 2=435$ games are played in the tournament, and thus 435 points are contested. The number of participants who become rated players cannot exceed $435: 17.5=24$ people. If 24 participants draw all their games against each other and win the rest of their games, they will accumulate the required 17.5 points. Answer: 24 people.