Chests of logic 3 - Revision history

Oscarlevin at 01:19, 15 July 2013

2013-07-15T01:19:53Z

← Older revision		Revision as of 19:19, 14 July 2013
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	{{Hint\| The guard will either answer yes, no, or not at all (if he does not know the right answer). That's three possible responses to your question.}}		{{Hint\| The guard will either answer yes, no, or not at all (if he does not know the right answer). That's three possible responses to your question.}}

	{{Solution\| There are many possible solutions. One of them is this: ask the guard, "If I were to think of either the number 1 or 2, would the number on the chest containing the key be greater than the number I am thinking of?" Now if the key is in chest 1, then the guard will say "no," since 1 is not greater than either 1 or 2. If the key is in chest 2, then the guard will not answer, since it is impossible for him to know whether you were thinking of the number 1 or 2. If the key is in chest 3, then the guard will answer "yes," since 3 is greater than both 1 and 2. In any case, you know which chest contains the key.}}		{{Solution\| There are many possible solutions. One of them is this: ask the guard, "If I were to think of either the number 1 or 2, would the number on the chest containing the key be greater than the number I am thinking of?" Now if the key is in chest 1, then the guard will say "no," since 1 is not greater than either 1 or 2. If the key is in chest 2, then the guard will not answer, since it is impossible for him to know whether you were thinking of the number 1 or 2. If the key is in chest 3, then the guard will answer "yes," since 3 is greater than both 1 and 2. In any case, you know which chest contains the key.}}

Oscarlevin: moved Three chests to Chests of logic 3: Bring in line with the series of similar puzzles.

2011-01-29T16:33:23Z

moved Three chests to Chests of logic 3: Bring in line with the series of similar puzzles.

← Older revision	Revision as of 10:33, 29 January 2011
(No difference)

Oscarlevin at 16:32, 29 January 2011

2011-01-29T16:32:50Z

← Older revision		Revision as of 10:32, 29 January 2011
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	{{Hint\| The guard will either answer yes, no, or not at all (if he does not know the right answer). That's three possible responses to your question.}}		{{Hint\| The guard will either answer yes, no, or not at all (if he does not know the right answer). That's three possible responses to your question.}}

	{{Solution\| There are possible solutions. One of them is this: ask the guard, "If I were to think of either the number 1 or 2, would the number on the chest containing the key be greater than the number I am thinking of?" Now if the key is in chest 1, then the guard will say "no," since 1 is not greater than either 1 or 2. If the key is in chest 2, then the guard will not answer, since it is impossible for him to know whether you were thinking of the number 1 or 2. If the key is in chest 3, then the guard will answer "yes," since 3 is greater than both 1 and 2. In any case, you know which chest contains the key.}}		{{Solution\| There are many possible solutions. One of them is this: ask the guard, "If I were to think of either the number 1 or 2, would the number on the chest containing the key be greater than the number I am thinking of?" Now if the key is in chest 1, then the guard will say "no," since 1 is not greater than either 1 or 2. If the key is in chest 2, then the guard will not answer, since it is impossible for him to know whether you were thinking of the number 1 or 2. If the key is in chest 3, then the guard will answer "yes," since 3 is greater than both 1 and 2. In any case, you know which chest contains the key.}}

	==See also==		==See also==

			*[[Chests of logic]]
			*[[Chests of logic 4]]
	*[[Two guards]]		*[[Two guards]]
	*[[Three princesses]]		*[[Three princesses]]

Oscarlevin at 18:25, 1 July 2010

2010-07-01T18:25:07Z

← Older revision		Revision as of 12:25, 1 July 2010
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	==See also==		==See also==

	[[Two guards]]		*[[Two guards]]
	[[Three princesses]]		*[[Three princesses]]

	==References==		==References==

Oscarlevin at 18:24, 1 July 2010

2010-07-01T18:24:48Z

← Older revision		Revision as of 12:24, 1 July 2010
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	[[Two guards]]		[[Two guards]]
			[[Three princesses]]

	==References==		==References==

Oscarlevin: Created page with 'Another puzzle inspired by Richard Wiseman's Blog. ==Puzzle== You awake in a locked dungeon containing three chests, numbered 1, 2, and 3. The guard tells you that he has plac…'

2010-05-24T20:48:35Z

Created page with 'Another puzzle inspired by Richard Wiseman's Blog. ==Puzzle== You awake in a locked dungeon containing three chests, numbered 1, 2, and 3. The guard tells you that he has plac…'

New page

Another puzzle inspired by Richard Wiseman's Blog.

==Puzzle==

You awake in a locked dungeon containing three chests, numbered 1, 2, and 3. The guard tells you that he has placed the key to the dungeon on one of the three chests, but in the other two, there are thousands of poisonous scorpions, all very hungry for prisoners. The guard says he will allow you one yes/no question, which he will answer truthfully. What should you ask him in order to locate the chest containing the key?

==Help==

{{Hint| The guard will either answer yes, no, or not at all (if he does not know the right answer). That's three possible responses to your question.}}

{{Solution| There are possible solutions. One of them is this: ask the guard, "If I were to think of either the number 1 or 2, would the number on the chest containing the key be greater than the number I am thinking of?" Now if the key is in chest 1, then the guard will say "no," since 1 is not greater than either 1 or 2. If the key is in chest 2, then the guard will not answer, since it is impossible for him to know whether you were thinking of the number 1 or 2. If the key is in chest 3, then the guard will answer "yes," since 3 is greater than both 1 and 2. In any case, you know which chest contains the key.}}

==See also==

[[Two guards]]

==References==

[http://richardwiseman.wordpress.com/2010/05/21/its-the-friday-puzzle-60/ Friday puzzle on Richard Wiseman's Blog]

[[Category: Logic]]
[[Category: Computer science]]
[[Category: Cases]]