- There are 3 boxes
- Only one of them contains gold
- Every box has a message written on it and only one message is true.
- On box 1 is written: "This box is empty"
- On box 2 is written: "Box 3 contains the gold"
- On box 3 is written: "The other boxes are empty"
Originally posted by LordOfTheChessboard - There are 3 boxes
- Only one of them contains gold
- Every box has a message written on it and only one message is true.
- On box 1 is written: "This box is empty"
- On box 2 is written: "Box 3 contains the gold"
- On box 3 is written: "The other boxes are empty"
Which box contains the gold?
The message on both box 2 and 3 say that box 3 contains the gold, they both can't be write so box 3 doesn't contain the gold.
Box 1's message must be true because the other two are false. This means that box 1 doesn't contain gold, neither does box 3.
Thus box 2 must contain the gold.
Originally posted by LordOfTheChessboard - There are 3 boxes
- Only one of them contains gold
- Every box has a message written on it and only one message is true.
- On box 1 is written: "This box is empty"
- On box 2 is written: "Box 3 contains the gold"
- On box 3 is written: "The other boxes are empty"
Which box contains the gold?
It could be box 3, if box one contains a rock or something.
Or it could be box 2. There's not enough information to tell which.
Originally posted by iamatiger It could be box 3, if box one contains a rock or something.
Or it could be box 2. There's not enough information to tell which.
That's true. I think you have to assume that each box can only contain either gold or nothing at all, in which case the labels point to box 2 as containing the gold.
Originally posted by Bad wolf The message on both box 2 and 3 say that box 3 contains the gold, they both can't be write so box 3 doesn't contain the gold.
Box 1's message must be true because the other two are false. This means that box 1 doesn't contain gold, neither does box 3.
Thus box 2 must contain the gold.
Originally posted by LordOfTheChessboard nope it does not matter...
Originally posted by LordOfTheChessboard - There are 3 boxes
- Only one of them contains gold
- Every box has a message written on it and only one message is true.
- On box 1 is written: "This box is empty"
- On box 2 is written: "Box 3 contains the gold"
- On box 3 is written: "The other boxes are empty"
Which box contains the gold?
If there is a rock in box 1 and the gold is in box 3, how many messages are true?
It has to be 2:
Box 3 has to be empty, because only one message is true, and both 2 and 3 say that it is in 3. Both must be lying. That leaves 1, and it says that 1 is empty. So, you know 1 tells the truth about being empty, and that it is not in 3, so it must be 2.
Read carefully:
box 1 contains a ROCK, this has not been excluded by the original question.
Box 3 Contains the GOLD
On box 1 is written: "This box is empty" FALSE - There is a rock in it
On box 2 is written: "Box 3 contains the gold" TRUE - It does
On box 3 is written: "The other boxes are empty" FALSE - There is a rock in box one
Hence 1 true statement, therefore box 3 could contain the gold.
Sorry about the Caps, getting a bit too excited.
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