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The gold riddle

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The gold riddle

Riddle

(1)
On your quest you find 3 treasure chests. 1 chest is the gold chest. You need to find the gold chest. But the wrong chests has a deadly gas. And to make matters worse all of the chests look identical. All 3 chests have a note. 1 is true and 2 are lies. Chest A says there is no gold there. Chest B says the same thing. And chest C says the gold is in chest B. Which chest includes the gold?

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About Riddle
mathematics
mathematics
problem solving
 Recommended age: 9 years old
102 times made

Created by

Cody Nakajima
Cody Nakajima
United States

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The gold riddleOnline version

On your quest you find 3 treasure chests. 1 chest is the gold chest. You need to find the gold chest. But the wrong chests has a deadly gas. And to make matters worse all of the chests look identical. All 3 chests have a note. 1 is true and 2 are lies. Chest A says there is no gold there. Chest B says the same thing. And chest C says the gold is in chest B. Which chest includes the gold?

by Cody Nakajima
1

We know that two of the messages are false and one is true. We consider cases based on which message is true.

Hints

Explanation Correct answer: Chest We know that two of the messages are false and one is true. We consider cases based on which message is true. If message A is true, then A does not contain the treasure. This means either B or C contains the treasure. Checking each case: If B contains the treasure then message C is also true which contradicts the statement that only one message is true. If C contains the treasure, then message B is also true which again contradicts that only one message is true. It follows that message ? must be false.

If message C is true, then the gold is in chest B, and so message A is true and message B is false. This contradicts the statement that only one message is true.

If message B is true then B does not contain the treasure. If A contains the treasure then message A is false and message C is also false. This is consistent with exactly two of the messages being false so we can conclude that message B is true, and more importantly that chest ? contains the treasure.

 
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