Brain Teasers
Diagony and Allumup
Someone is a diagony if all they say is a lie; likewise, someone is an allumup if all they say is the truth.
You have three friends (Fynudi, Mortimer, and Chloe) and you want to know whether or not Fynudi is a diagony. You ask him and he answers the question, but you are unable to hear him because he mumbled the answer. But the person next to Fynudi (Mortimer) screams, "He said that he was a diagony!" and the person next to Mortimer (Chloe) said, "Mortimer, you are lying."
Now the question is, what is Chloe?
You have three friends (Fynudi, Mortimer, and Chloe) and you want to know whether or not Fynudi is a diagony. You ask him and he answers the question, but you are unable to hear him because he mumbled the answer. But the person next to Fynudi (Mortimer) screams, "He said that he was a diagony!" and the person next to Mortimer (Chloe) said, "Mortimer, you are lying."
Now the question is, what is Chloe?
Hint
What did Fynudi say?Answer
Chloe is an allumup.You can find this by simple logic. First of all, you know that Fynudi said that he is an allumup (he would never say that he is a diagony, because he would lie about it). So then you know that Mortimer is lying, which shows that Chloe is telling the truth, making her an allumup.
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Comments
FIRST OF ALL YOU SAID I COULD HEAR
WHAT FYNUDI SAID SO HOW DO I KNOW HE
TOLD THE TRUTH.I MIGHT BE MISSING IT HERE
BUT I THINK YOUR LOGIC IN THIS ONE IS
A LITTLE OFF.MOST OF YOU TEASTER ARE
REALLY GOOD BUT I THINK YOU NEED TO
EXPLAIN THIS ONE A LITTLE BETTER.
WHAT FYNUDI SAID SO HOW DO I KNOW HE
TOLD THE TRUTH.I MIGHT BE MISSING IT HERE
BUT I THINK YOUR LOGIC IN THIS ONE IS
A LITTLE OFF.MOST OF YOU TEASTER ARE
REALLY GOOD BUT I THINK YOU NEED TO
EXPLAIN THIS ONE A LITTLE BETTER.
if you truly want me to explain this, you should be able to tell what Fynudi said. You should be able to tell this, since a diagony is someone that always lie, so if you asked them, they would say that they were an allumup. Likewise, an allumup always tells the truth, so you know that they would say that they were an allumup.
paranoid is right, Chloe has to be an Allumup, no matter what. Fynudi would not say he was a diagony under both circumstances, so then Mortimer would be lying, and Chloe would have to be telling the truth.
Wrong, Chloe (or Chole) just must have been telling the truth for that one statement. There is no requirement that if you tell the truth you must be an allumup - it just means you're not a diagony.
What I get is (and I could be confused!) that it needs tidying up. Firstly, it doesn't seem to be stated that they are all diagonies/allumups, in which case no.1 could say he is a diagony while actually being an ordinary person, hence lying. In that case No.2 tells the truth and Chloe is lying.
But we will assume all three are d/a as is normal in knight/knave puzzles. No.1 cannot say he is diagony, but as we can't hear him he might not have said he was allumup: he might have said " I can't hear you". However, it is still true that no.2 must be lying and so Chloe is telling the truth, and if all are d/a she is allumup.
But I confess to being a bit confused so perhaps I am wrong.
But we will assume all three are d/a as is normal in knight/knave puzzles. No.1 cannot say he is diagony, but as we can't hear him he might not have said he was allumup: he might have said " I can't hear you". However, it is still true that no.2 must be lying and so Chloe is telling the truth, and if all are d/a she is allumup.
But I confess to being a bit confused so perhaps I am wrong.
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