Difference between revisions of "Chests of logic 4"

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(Created page with "I made this one up for my discrete math students. I'm not sure if it is easy or not. ==Puzzle== As you enter the chamber, your eyes immediately fall on the four chests. One ...")
 
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As you enter the chamber, your eyes immediately fall on the four chests.  One is made of solid gold, another out of silver, the third out of brick and the last out of wood.  Legend states that one of the four boxes contains a priceless treasure, however all the others are filled with angry scorpions (also known as ''scorpions'').  Luckily, attached to each box is a sign.  Unluckily, you do not know which signs are true. The signs read:
 
As you enter the chamber, your eyes immediately fall on the four chests.  One is made of solid gold, another out of silver, the third out of brick and the last out of wood.  Legend states that one of the four boxes contains a priceless treasure, however all the others are filled with angry scorpions (also known as ''scorpions'').  Luckily, attached to each box is a sign.  Unluckily, you do not know which signs are true. The signs read:
  
:Gold box: ``If the treasure is in the brick box, then the sign on the wood box is false.''
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:Gold box: "If the treasure is in the brick box, then the sign on the wood box is false."
:Silver box: ``The treasure is in either the brick box or the wood box.''
+
:Silver box: "The treasure is in either the brick box or the wood box."
:Brick box: ``Only one of these four signs is true.''
+
:Brick box: "Only one of these four signs is true."
:Wood box: ``The signs on the metal boxes are either both true or both false.''
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:Wood box: "The signs on the metal boxes are either both true or both false."
  
 
Which box should you open?
 
Which box should you open?
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==See also==
 
==See also==
  
[[Chests of logic]]
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*[[Chests of logic]]
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*[[Chests of logic 3]]
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*[[Detective Merlin]]
  
 
[[Category:Logic]]
 
[[Category:Logic]]

Revision as of 10:36, 29 January 2011

I made this one up for my discrete math students. I'm not sure if it is easy or not.

Puzzle

As you enter the chamber, your eyes immediately fall on the four chests. One is made of solid gold, another out of silver, the third out of brick and the last out of wood. Legend states that one of the four boxes contains a priceless treasure, however all the others are filled with angry scorpions (also known as scorpions). Luckily, attached to each box is a sign. Unluckily, you do not know which signs are true. The signs read:

Gold box: "If the treasure is in the brick box, then the sign on the wood box is false."
Silver box: "The treasure is in either the brick box or the wood box."
Brick box: "Only one of these four signs is true."
Wood box: "The signs on the metal boxes are either both true or both false."

Which box should you open?

See also