In front of you are 3 chests:
Chest A has been labelled with “100 gold coins”,
Chest B has been labelled with “50 gold and 50 silver coins”,
Chest C has been labelled with “100 silver coins”.
You are told that all of the labels are incorrectly placed, as they describe the contents of another chest. To help you determine which is the chest which contains “100 gold coins”, you are allowed to randomly pick a coin from any chest,
See here is the thing:
It says "each chest is wrongly labelled"
So chest 'A' is out of question.
Now that leaves chest 'B' and 'C'.
I would pick it from chest 'B'
Why? Cuz if its a silver coin, it means chest 'C' has 100 gold. and if its a gold coin then chest 'B' itself has 100 gold since we know its currently wrongly labelled so it cannot have 50 gold & 50 silver.
From 50 gold and 50 silver. Since this is either 100 gold and 100 sikver. If gold comes up this is the box.
If sikver comes up, then gold is in one of tow other boxes. It is definitely in box labeled silver.
What I have stated is correct. But if you must get technical, choose from chest B which is labeled 50 silver and 50 gold. If gold comes up this is the box. If sikver comes up, then 100 gold is in chest a or chest c. Chest C is labeled 100 silver. It could be 50 sikver 50 gold or 100 gold. Chest a is leveled 100 gold. It could be 50 silver 50 gold or 100 silver. But 100 silver is taken. So chest a is 50 silver 50 gold. Chest c is 100 gold.
Chest A has been labelled with "100 gold coins",
Chest B has been labelled with "50 gold and 50 silver coins",
Chest C has been labelled with "100 silver coins".
If I pick from box B, you know it's not 50 silver/gold as it's wrongly labelled. So therefore if I pick a coin from B and it's gold, that means chest B has 100 gold coins, C has 50/50 and A has silver. Another way, I pick a coin from chest B and it's a silver coin, that means gold is chest C, B is silver and A is 50/50.
So therefore 100 gold coins are either in box B or C depending on what coin you pick from B.
Suppose you are travelling in a train. There are only 4 other people in your berth. They are named 1, 2, 3 and 4 . Your wallet is stolen. Assume that the wallet was stolen by one of these 4 people and that only 3 of them lie.
Here are their statements:
- 1: 2 stole the wallet.
- 2: 3 didn't steal.
- 3: I didn't steal.
- 4: 3 stole your wallet.
Suppose you are travelling in a train. There are only 4 other people in your berth. They are named 1, 2, 3 and 4 . Your wallet is stolen. Assume that the wallet was stolen by one of these 4 people and that only 3 of them lie.
Here are their statements:
- 1: 2 stole the wallet.
- 2: 3 didn't steal.
- 3: I didn't steal.
- 4: 3 stole your wallet.
Suppose you are travelling in a train. There are only 4 other people in your berth. They are named 1, 2, 3 and 4 . Your wallet is stolen. Assume that the wallet was stolen by one of these 4 people and that only 3 of them lie.
Here are their statements:
- 1: 2 stole the wallet.
- 2: 3 didn't steal.
- 3: I didn't steal.
- 4: 3 stole your wallet.
Who actually stole your wallet?
I was incorrect first time. Condition is onky one speaks truth. Hadn't seen 3 s reply.
So both 2 and 3 say 3 didn't steal. Both can't say the truth. Hence both lie. Now 1 says 2 stole the wallet. If that is true, then both 2 and 3 are also speaking truth. Not possible.