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# Treasure Hunt | ||
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## Introduction | ||
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There are two different approaches to this puzzle. You can assume that: | ||
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•Each chest contains the treasure, or that | ||
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•Each statement is true and consider the four cases that arise. | ||
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The way a student structures their answer will play a big part in how easy they find the answer. | ||
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## Solution | ||
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<ins>Assumption 1<ins> | ||
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The treasure is in chest A. That means that statement A must be the telling the truth. That also means that statement B is telling the truth. Since the treasure is in chest A, the treasure cannot be in chest C and therefore statement C is telling the truth. | ||
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![](../../images/treasure-hunt-3.png) | ||
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There are three chests that are supposedly telling the truth, but there should only be one true statement. So the treasure cannot be in chest A. | ||
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<ins>Assumption 2<ins> | ||
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The treasure is in chest C. That means that statement C must be lying. The treasure is not in chest A or D, making those statements lies as well. Meaning that statement B is also a lie. | ||
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![](../../images/treasure-hunt-4.png) | ||
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None of the chests are telling the truth, but there should be one true statement. So the treasure cannot | ||
be in chest C. | ||
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<ins>Assumption 3<ins> | ||
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The treasure is in chest D. That means that statement B and D are telling the truth. Statement A must be lying since the treasure is not in chest A. Since the treasure is not in chest C, statement C must be telling the truth. | ||
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![](../../images/treasure-hunt-5.png) | ||
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There are three chests that are supposedly telling the truth, but there should only be one true statement. | ||
So the treasure cannot be in chest D. | ||
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<ins>Assumption 4<ins> | ||
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The treasure is in chest B. That means that the treasure is not in A or D, making those statements a lie.Now we know the treasure is not in chest A or D, then statement B must also be a lie. Since the treasure is not in chest C, this statement is true. | ||
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![](../../images/treasure-hunt-6.png) | ||
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Only one statement is telling the truth. **This means that the treasure is in chest B.** | ||
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--- | ||
title: Treasure Hunt | ||
type: problem | ||
order: 34 | ||
--- | ||
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# Treasure Hunt | ||
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Exactly one of these chests contains treasure, | ||
but **only** one of the four statements is true. | ||
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![](../../images/treasure-hunt-1.png) | ||
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![](../../images/treasure-hunt-2.png) | ||
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Which chest must contain the treasure? | ||
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Original file line number | Diff line number | Diff line change |
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# Treasure Hunt | ||
|
||
## Introduction | ||
|
||
There are two different approaches to this puzzle. You can assume that: | ||
|
||
•Each chest contains the treasure, or that | ||
|
||
•Each statement is true and consider the four cases that arise. | ||
|
||
The way a student structures their answer will play a big part in how easy they find the answer. | ||
|
||
|
||
|
||
## Solution | ||
|
||
<ins>Assumption 1<ins> | ||
|
||
The treasure is in chest A. That means that statement A must be the telling the truth. That also means that statement B is telling the truth. Since the treasure is in chest A, the treasure cannot be in chest C and therefore statement C is telling the truth. | ||
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||
|
||
![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-3.png?raw=true) | ||
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There are three chests that are supposedly telling the truth, but there should only be one true statement. So the treasure cannot be in chest A. | ||
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||
<ins>Assumption 2<ins> | ||
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The treasure is in chest C. That means that statement C must be lying. The treasure is not in chest A or D, making those statements lies as well. Meaning that statement B is also a lie. | ||
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![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-4.png?raw=true) | ||
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None of the chests are telling the truth, but there should be one true statement. So the treasure cannot | ||
be in chest C. | ||
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<ins>Assumption 3<ins> | ||
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The treasure is in chest D. That means that statement B and D are telling the truth. Statement A must be lying since the treasure is not in chest A. Since the treasure is not in chest C, statement C must be telling the truth. | ||
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![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-5.png?raw=true) | ||
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There are three chests that are supposedly telling the truth, but there should only be one true statement. | ||
So the treasure cannot be in chest D. | ||
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<ins>Assumption 4<ins> | ||
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The treasure is in chest B. That means that the treasure is not in A or D, making those statements a lie.Now we know the treasure is not in chest A or D, then statement B must also be a lie. Since the treasure is not in chest C, this statement is true. | ||
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![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-6.png?raw=true) | ||
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Only one statement is telling the truth. **This means that the treasure is in chest B.** | ||
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This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
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Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,15 @@ | ||
# Treasure Hunt | ||
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Exactly one of these chests contains treasure, | ||
but **only** one of the four statements is true. | ||
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||
![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-1.png?raw=true) | ||
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![](https://github.com/supportingami/sami-maths-club/blob/master/maths-club-pack/images/treasure-hunt-2.png?raw=true) | ||
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Which chest must contain the treasure? | ||
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