Problem 14 · 2016 Math Kangaroo
Medium
Logic & Word Problems
caseworkwork-backward
Igor writes down all the results of the quarter-finals, semi-finals and final of a tennis tournament. They are listed here in random order: Bert beats Anton, Carl beats Damien, Glen beats Henry, Glen beats Carl, Carl beats Bert, Edon beats Fred, Glen beats Edon. Who plays in the final?
Show answer
Answer: B — Glen and Carl
Show hints
Hint 1 of 2
Use the listed results to rebuild the knockout bracket.
Still stuck? Show hint 2 →
Hint 2 of 2
The final is between the two semifinal winners.
Show solution
Approach: reconstruct the knockout bracket
- Quarterfinals from the results: Bert beats Anton, Carl beats Damien, Edon beats Fred, Glen beats Henry.
- Semifinals: Carl beats Bert and Glen beats Edon, so Carl and Glen advance.
- The final is played by Glen and Carl.
Mark:
· log in to save