Question 5
After the MYTS examination, Long, Ly, Quy and Phượng discuss their predicted results. All four are excited and believe they will win medals. Long makes three statements:
- My medal and Ly’s medal will be the same colour.
- My medal and Phượng’s medal will be the same colour.
- I will win a gold medal.
Quy makes one statement to each of the other three friends. His three statements are:
- You and I will both win silver medals.
- I will win a silver medal.
- You will win a silver medal.
When the results arrive, each of the four has won either a gold or a silver medal. Long and Quy each made exactly two true statements and one false statement. How many of the four won gold medals? Explain why.
- My medal and Ly’s medal will be the same colour.
- My medal and Phượng’s medal will be the same colour.
- I will win a gold medal.
Quy makes one statement to each of the other three friends. His three statements are:
- You and I will both win silver medals.
- I will win a silver medal.
- You will win a silver medal.
When the results arrive, each of the four has won either a gold or a silver medal. Long and Quy each made exactly two true statements and one false statement. How many of the four won gold medals? Explain why.