# Which pot contains the treasure?

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You have a silver pot and a golden pot. One of these pots contains a treasure and the other one is empty. Assume that you can determine from the text prints which pot contains the treasure.

The text prints on the pots are the following:
The silver pot: "This pot is empty."
The golden pot: "Exactly one of these texts is true."

Which pot contains the treasure?

posted May 1, 2014

Silver pot contains the treasure
Explanation :
Scenario 1: Let's assume that the second label is True.
Then, since we have already assumed that 2nd is True and only 1 can be True, So 1st label must be false, Hence the Silver Pot has the Treasure.

Scenario 2: Second Label is False.
If Second Label is false i.e. the statement "Exactly on is True" is false.
This can mean 2 things:
1. Both are True
If this is the case, then the current scenario that "Second Label is False" is itself contradicted. Hence, this case is not feasible.
2. Both labels are False
If both labels are False , then First label - "This pot is empty" is False. i.e. the 1st pot contains the treasure.

Conclusion: The silver pot contains the treasure!

answer Oct 9, 2017

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