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[Issue 36] Test Your Intellect [2nd Edition]


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Well done to every one who entered! Lot's of correct answers. The first three for each question are listed below.

 

@GoldRock 20,000 crystals
@I.WalkAlone 15,000 crystals
@warnado22 10,000 crystals

Question 1:

There are a few ways to do this, but here is one solution.

Point to the middle tank, and ask "Is the left tank a Viking?". If he answers yes, choose the left tank. If he answers no, choose the right tank.

If the middle tank is a Viking, you know he is answering truthfully, so you can find the location of the other Viking using his information.

If the middle tank is the Dictator, you know either of the other two tanks is a Viking, so you can still be sure you are picking a Viking.


@GoldRock 20,000 crystals
@I.WalkAlone 15,000 crystals
@HUGHIY 10,000 crystals

Question 2:

All 20 white tanks leave on the 20th night.

If there was only 1 white tank on the island, that white tank would not be able to see any other white tanks. And so, knowing that there is at least 1 white tank on the island, he therefore can deduce his colour - he must be that white tank.

However, since the white tanks can see other white tanks, no one leaves on the first night. Thus all tanks know that there are at least two on the island...

On the second night, this means that all the tanks know there are at least two white tanks on the island. Again, any white tank would be able to deduce his own colour now if he could only see one other white tank.

This continues until the 20th night, when all white tanks know that at least 20 white tanks are on the island, and each of them can only see 19 other white tanks. At this point, all of them know they are white, so they all leave the island on the 20th night.

Edited by Hexed
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