Question

In a tournament, many teams participated. All teams in the tournament have 5 to 15 players. If a team has more than 10 players, then they have reversible t-shirts. Based only on the information above, which of the following must be true?

• A. Teams that have 13 players have reversible t-shirts.
• B. Teams that have 12 players do not have reversible t-shirts.
• C. Teams with 8 players do not have reversible t-shirts.
• D. Only people on teams can have reversible t-shirts.

Hint:

Pay attention to the conditions provided to ensure correct logical reasoning.

Answer 1

The Correct Option is A

Step 1: Analyze the given condition.
We are told that if a team has more than 10 players, then they have reversible t-shirts. This means: Teams with 11, 12, 13, 14, and 15 players will have reversible t-shirts. 
Step 2: Check the truth of each option.
Option (1): Teams that have 13 players have reversible t-shirts. This is true because teams with more than 10 players (including 13) have reversible t-shirts.
Option (2): Teams that have 12 players do not have reversible t-shirts. This is false because teams with more than 10 players have reversible t-shirts.
Option (3): Teams with 8 players do not have reversible t-shirts. This is true but not related to the given condition since 8 players is not more than 10.
Option (4): Only people on teams can have reversible t-shirts. This is not supported by the given information. Thus, the correct answer is: \[ \boxed{1}. \]