1 to 12!
Twelve men are in a room, some of them always tell lies, while the others always tell the truth.
The first man says: "None of us is a truth teller."
The second man says: "At most one of us is a truth teller."
The third man says: "At most two of us are truth tellers."
The twelfth and last man says: "At most eleven of us are truth tellers."
How many of them are liars ?
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
When using the phrase "at most", the bigger the number, the truer it becomes. So, if the twelfth man is a Knight, then the first man's statement would be inevitably became a lie. Therefore, with any additional Knight, another knave would have to appear to counter the balance.
Answer = 12/2 = 6 knaves.