GK 2016 Q13
13. Ivor writes down the results of the quarter-finals, the semi-finals and the final of a knock-out tournament. The results are (not necessarily in this order): Bart beat Antony, Carl beat Damian, Glen beat Harry, Glen beat Carl, Carl beat Bart, Ed beat Fred and Glen beat Ed. Which pair played in the final?
- A Glen and Carl
- B Glen and Harry
- C Carl and Bart
- D Glen and Ed
- E Carl and Damian
Grey Kangaroo 2016, Question 13. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: A Glen and Carl
The pair who play in the final will have played three matches. Only Glen and Carl play three matches so they are the pair who play in the final.
Solution © UK Mathematics Trust, from the GK 2016 solutions.