



 
Hi Grace, I can get you started on these problems. For the first problem suppose that the treasure is in the silver chest.
Hence if the treasure is in the silver chest all three statements are true. But you know that one of the statements is false so the treasure is not in the silver chest. Now suppose the treasure is in the gold chest. Which of the statements are true and which are false. For the second problem A says he can not tell what colour hat he is wearing. He can see what colour hats B and C are wearing. There are only two white hats so if B and C were wearing white hats then A would know his was black. Thus either B or C or perhaps both is wearing a black hat. Have fun with this,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 