Poisoned Bottle
Logic
Level
2
You have 3 water bottles sealed and one of them is poisoned. A sentence is written on each bottle incorrectly. If you know that one of the three sentences is correct. Find the poisoned bottle number?
1
2
3
Impossible to tell
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
If Bottle 3 has the correct sentence, then from Bottle 3's true sentence we know that Bottle 3 is poisoned and from Bottle 2's false sentence we know that Bottle 2 is also poisoned, but there should only be one bottle that is poisoned, so Bottle 3 does not have the correct sentence.
If Bottle 2 has the correct sentence, then from Bottle 3's false sentence we know that Bottle 3 is not poisoned but from Bottle 1's false sentence we know that Bottle 3 is poisoned, which is a contradiction, so Bottle 2 does not have the correct sentence.
Bottle 3 and Bottle 2 do not have correct sentences, so Bottle 1 must have the correct sentence. From Bottle 3's false sentence we know that Bottle 3 is not poisoned, from Bottle 2's false sentence we know that Bottle 2 is poisoned, and from Bottle 1's true sentence we can confirm that Bottle 3 is not poisoned. Since there is only one bottle that is poisoned, we can deduce that Bottle 2 is the poisoned bottle.