Three boxes and gold | logic puzzle

In a party, three boxes are placed at a table. And one of them contains pure gold. Also each box have a message on its top.

1^st Box's message >> “Gold is not here”

2^nd Box's message >> “Gold is not here”

3^rd Box's message >> “Gold is in the 2^nd box”

Only one of the messages are true (other two are lies).

With only one chance, could you find the right box?

Answer:

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only one box tells true. So lets calculate,

If the 1^st box is true, then the 2^nd box tells gold is in it (because says “gold is not here”) and the 3^rd box tells the gold is not in the 2^nd box (because it says “gold is in the 2^nd box”) which will never match.

Now, if the 3^rd box is true, the 1^st box tells it has the gold (because its message will false because the 3rd box is true) and 2^nd box also tells it have the gold (because its message is also false because the 3rd box is true) which is also not match because there is only one gold.

At last, if the 2^nd box is true(gold is not in 2^nd box), then the 3^rd box will also match(it tells the 2^nd box

not contains the gold because it is false) and 1^st box tells it has the gold (because its message is false).

 

 

So the 1st box contains the gold and the 2nd box is true.