Orcs, Elves, and Men
Orcs always lie, elves always tell the truth, and humans can do anything they want. A human, an orc, and an elf are hiding behind a wall.
One voice behind the wall says: "Tee hee! 1+1 = 3!"
A different voice responds: "You're wrong, human. Stop acting like an orc."
And, finally, a third voice pipes in, "Hmm... actually, 1+1 = 2."
If each of the 3 creatures spoke exactly once, who said that 1+1=3?
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
scenario 1:
"Tee hee! 1+1 = 3!" = Human (✔)
"You're wrong, human. Stop acting like an orc." = Elf (✔)
"Hmm... actually, 1+1 = 2." = orc (✘)
Conclusion : scenario 1 : wrong. (an orc cannot have spoken the truth)
scenario 2:
"Tee hee! 1+1 = 3!" = orc (✔)
"You're wrong, human. Stop acting like an orc." = human (✔)
"Hmm... actually, 1+1 = 2." = elf (✔)