48 of 100: Knights, Knaves, and Werewolves

The problem can be solved by only considering Zander.

Possibility 1: Zander is a knight. If this were true, then Zander could not say that he is a werewolf*, so there is a contradiction.

Possibility 2: Zander is a werewolf. If this were true, he could not say he is a werewolf.

That leaves possibility 3: Zander is a knave. This is consistent because saying that he is a werewolf is a lie.

* - edited to correct for point made by Tom Verhoeff

Since all of them are only speaking about themselves, the knight among them will always speak the truth, i.e. the knight will reveal it's identity, which in this case, is Yvette.

The remaining two always lie, so

$\Rightarrow$ Xavier is not a knave and Zander is not a werewolf.

$\Rightarrow$ Xavier is a werewolf and Zander is a knave. (As given in the question, that there is one knight, one knave and one werewolf amongst these three)

The only person that can say: "I am a knave" is a werewolf "I am a werewolf" is a knave

Anyone can say "I am a knight"

But a knight must say "I am a knight"

Since Zander says "I am a werewolf", he must be a knave.

Yvette is a knight. Since knights tell the truth, the only knight present has to say she is a knight. And no one else is claiming to be a knight.

The others both lie, since there are no more knights left in the group.

Zander says I am werewolf. So Zander is a knave, the only other option being taken.

Xavier can be neither a knight nor a knave - so he is the werewolf. Which implies Zander is lying - so Zander is the knave!

If Zander was a knight he would tell the truth and say that he was a knight, if he was a werewolf then he would lie and say he was't a werewolf so he must be a knave who is lying about being a werewolf.

LaTeX: $\Large \text {Zander is a knave.}$

1.Yvette says- he is a knight.as knight never tell lie and without him nobody is claiming him as a knight ,so Yvette must be true.

secondly, knave never tell true ,they always lie. so, a knave will never concede himself as a knave in front of people as people hate knaves.

again, werewolves also can only lie.

so, the knave and werewolf both lied and hided their identity. so, the knave is actually a werewolf and the werewolf is actually a knave as there are only 2 options for them. .

thirdly, so the werewolf or Zander will be the knave

If either of Xavier or Zander were knights, then they would be lying. Therefore, Yvette must be a knight.

Hence Xavier and Zander are both lying (it is given that there is are 2 liars and 1 truth teller).

Zander says he is a werewolf but we know he is lying, so therefore he must be a knave.

how u know is he does not even look like a wearwolf

You can find out what Zander is just by his own statement. If he is a knight, he would say he is a knight, so under is either a knave or a werewolf. If Zander is a werewolf he would say he is either a knave or knight, so he can't be a werewolf. That only leaves out one possibility: knave, and if he is a knave, then he would lie, and he did because he said he was a werewolf. So Zander is a knave.

First, anyone saying "I'm a Knave" or "I'm a Werewolf" can't be a knight.

That means Zander is either a Knave, or a Werewolf.

That also leaves Yvette with the only person possible of being a Knight.

Next, since we found the face that Xavier and Zander always lie, that means Zander is a Knave and Xavier is a Werewolf

First let's look at Zander.

Fact 1: Zander says he is a werewolf.

Fact 2: If Zander says he is a werewolf, then he can't be a knight because a knight would truthfully say that he/she is a knight.

Fact 3: Since, Zander says he is a werewolf, he can't be one because a werewolf would lie and say that it was either a knave or a knight.

Fact 4: Zander then must be a knave.

The knights can't lie, so they can't say they're a knave or werewolf. So, we know that Yvette is a knight. Werewolfs and knaves can only lie, and there are one of each,so Zander is a knave and Xavier a werewolf

only knaves can say i am a werewolf since knights are not werewolves so they cannot lie and werewolves could not say that since they always lie

Zander can only be a knave since if he is a knight, he lies, therefore is a knave. If he is a werewolf, he says he is a knave, so he is a knave. Therefore he is a knave.

A knight can only tell the truth.

A knave has to lie and so, can claim that s/he is either a knight or a werewolf.

A werewolf also has to lie and can claim that s/he is a knight or a knave.

But a knight is forced to tell the truth and can only say, " I am a knight".

According to the question, there is only one knight in the group. And there is only one person claiming to be a knight - Yvette. So, Yvette is the knight.

Zander is either a werewolf or a knave (since the question says that the group has a knight, a werewolf and a knave).

In both cases, he is lying, since both werewolves and knaves only lie.

So, since Zander claims that he is a werewolf, he is actually a knave.

Xavier and Zander must both be lying since they cannot say that they are a knave and a werewolf. Yvette, then, must be the knight. Since both Xavier and Zander are lying about their respective identities, Zander then must be a knave.

You can actually identify all three.

The only location that the Knight can occupy is 'Yvette' since a Knight uttering any of the other two phrases would be a lie. The only location that the Werewolf can occupy is 'Xavier' since the Knight's spot is taken and the Werewolf must lie The only location that the Knave can occupy is 'Zander' since the Knight's spot is taken and the Knave must lie.

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Xavier and Zander are lying.

We know this because they are saying "I can only lie", which if a true statement, would be a paradox. Therefore we can conclude that they are liers.

Zander is lying about being a werewolf but he is not honest so we know he is a knave.

As there is one of each type, only one can be telling the truth (and two must be lying):

If the truthful one is Xavier or Zander, then their statement must be true, so they are what they say they are. However, what they say they are is a werewolf and a knave which both lie, which is contradictory.

Therefore, Yvette is telling the truth, and she is the knight. This leaves Xavier and Zander as the werewolf and the knave. As both of their statements must be false, they are the opposite of what they say, meaning that Xavier is a werewolf and Zander is a knave

A Knave cant say "I am a Knave" and Knight too. So Xavier must be Werewolf. A Knight can only say, he is a Knight. Therefore Zander is a Knave.

As the knight always tells the truth, he must admit his identity. So: Yvette is the knight.

As both werewolf and knaves are liars and Zander is one of them, he must be lying. Hence, he is not a werewolf. He is a knave.

A Knight tells true and we have only 1 knight in the island. So, Yvette is the Knight. As he speaks truth, so rest two tells lies. Zander tells lie and he is not a knight already. So he is also not werewolf. Only option left is Knave, so he is a knave.

Xavier definitely lied because neither a knave nor a knight can make such a statement therefore he is a werewolf .
According to the fact that Xavier is a werewolf , Zander has lied and he is a knave .

Zander says, "I am a werewolf." If the statement is true, then as a werewolf he must lie, then he is not a werewolf, which contradict with our assumption that the statement is true. Therefore, the statement is false and Zander lies and he is not a werewolf. Since he lies and not a werewolf, he must be a knave .

• Xavier is a werewore who lies that he is a knave.
• Yvette is a knight who tells the truth.
• Zander is a knave who lies that he is a werewolf,

You can figure out this problem by trying to figure out what Xavier is first. Xavier has to be a werewolf. Why? Because he says that he is a knave. He is lying, because if he told the truth he would be a knight, but if he were a knight, then "I am a knave" would be a lie. Point being that he is lying. But, because of the fact he is lying, he has to be a werewolf. A knave would lie and say something else. That means that Zander is a knave or a knight. He says that he is a werewolf, but Xavier is one. That means that he is lying. So, the only other kind that lies is knaves. That means that Zander must me a knave.