As many as it takes for one to just say Yes.

the answer

[tab]A. His number is 12? It adds up to either 24 or 27. Mine is either 15 or 12.

I do not know what my number is.

B. A does not know what his number is. His number is 12 though. He must be thinking

his number is 15 or 12. But if his number is possibly 15, that means my number is not 15.

So my number is 12.

So it should only be after 1 no will the game end.[/tab]

hey i’ve got a riddle, what are the hidden letters of Is_Yde_opN?

I am sorry, but that is false. Please try again.

[tab]If the I and the Y are interchangeable with each other, the missing letters could be E E W E (Eyes wide open)[/tab]

It does read kind of like that.

This one is rather well known -

You are wandering through the wilderness in the middle of the night and come up to a fork in the path.

There you meet two old men sitting on a large wood stump.

Legends tell that one of these old men speaks only the truth and that the other one always lies.

One of these paths leads to certain death while the other grants safe passage home. Both of those old men know about those two paths and which leads to which destiny.

You get to ask one of these two men one question.

Try to figure out, with this one question, asking one of the two men, which path is safe.

[tab]If you not gonna try doing it on your own, at least google it…[/tab]

This one is rather well known -

You are wandering through the wilderness in the middle of the night and come up to a fork in the path.

There you meet two old men sitting on a large wood stump.

Legends tell that one of these old men speaks only the truth and that the other one always lies.

One of these paths leads to certain death while the other grants safe passage home. Both of those old men know about those two paths and which leads to which destiny.

You get to ask one of these two men one question.

Try to figure out, with this one question, asking one of the two men, which path is safe.[tab]If you not gonna try doing it on your own, at least google it…[/tab]

As nobody else is answering:

[tab]I ask one of the men which path the other one would show me as being the safe one. The liar would lie and tell me the wrong path, because this is not what the other man would say. The truth teller would tell the truth and also show me the wrong path, because this is the lie which the other one would tell me. So both would tell me the wrong path and I would take the other one.[/tab]

[tab]I didn’t google it! But I knew the riddle :-" .[/tab]

Is_Yde_opN:This one is rather well known -

You are wandering through the wilderness in the middle…

[tab]If you not gonna try doing it on your own, at least google it…[/tab]

As nobody else is answering:

[tab]I ask one of the men which path the other one would show me as being the safe one. The liar would lie and tell me the wrong path, because this is not what the other man would say. The truth teller would tell the truth and also show me the wrong path, because this is the lie which the other one would tell me. So both would tell me the wrong path and I would take the other one.[/tab]

[tab]I didn’t google it! But I knew the riddle :-" .[/tab]

True.

I tried to reconstruct this riddle with a friend a few years ago and even knowing roughly the key idea behind the solution* it still took quite some time to do so.

- [tab]that the question has to involve the other man in some way or form[/tab]

Six people in two groups.

There are six people A, B, C, D, E, F which are in each case either in group 1 or group 2. The following statements are given:

- Both A and B are in 1.
- F is in 2, and if E is in 2, then C is also in 2.
- D is in 1 and if F is in 2, then A is also in 2.
- A and E are both in 2.
- D is in 2 and E is in 1, and if C is in 2, then B is in 1.
- D and B are both in 2.
- The statements 1-6 are wrong.

Who is in which group?

Perfect Logicians.

Players A and B both have got the number 12 written on her forehead. Everyone sees the number on the front of the other but does not know the own number. The game master tells them that the sum of their numbers is either 24 or 27 and that this numbers are positive integers (thus also no zero).

Then the game master asks repeatedly A and B alternately, if they can determine the number on her forehead.

`A: "No". B: "No". A: "No". B: "No". A: "No". ....`

After how many "no"s does the game end, if at all?

As it is worded, I don’t see how that one can end: “No’s all the way down.”

Up to now nobody has solved my last riddle (“Perfect Logicians”).

You know I haven’t studied logic and I have no good way to annotate, but I will make a start…

Start Moment:

A knows that B has 12, that A has 12 or 15, that B sees either 12 or 15 and no other number.

A says No.

B knows that A has 12 and that A has seen either 12 or fifteen on B. He knows he must have 12 or fifteen. If A has seen 15, then he is thinking either I have 9 or 12. If A has seen 12, then A is thinking I have either 12 or 15. B knows this is what A is thinking.

B says no.

A knows now that if B has seen 12 he is thinking that he either has 12 or 15. While at the same

I can imagine where one takes into account the limited possibilities and what the other must be thinking that at some point an elimination happens. But I cannot hold it in my head.

Arminius:Up to now nobody has solved my last riddle (“Perfect Logicians”).

You know I haven’t studied logic and I have no good way to annotate, but I will make a start…

Start Moment:

A knows that B has 12, that A has 12 or 15, that B sees either 12 or 15 and no other number.

A says No.

B knows that A has 12 and that A has seen either 12 or fifteen on B. He knows he must have 12 or fifteen. If A has seen 15, then he is thinking either I have 9 or 12. If A has seen 12, then A is thinking I have either 12 or 15. B knows this is what A is thinking.

B says no.

A knows now that if B has seen 12 he is thinking that he either has 12 or 15. While at the sameI can imagine where one takes into account the limited possibilities and what the other must be thinking that at some point an elimination happens. But I cannot hold it in my head.

You are on the right way. Go on, please!

Write it down, if you can not hold it in your head, as you said.

You are on the right way. Go on, please!

Write it down, if you can not hold it in your head, as you said.

Though I suspected such to be the intent of the puzzle, I also suspect the proposed solution to be fallacious. I currently don’t think that it can be solved that way, although misleading into the illusion of a solution. We’ll see.

Six people in two groups.

There are six people A, B, C, D, E, F which are in each case either in group 1 or group 2. The following statements are given:

- Both A and B are in 1.
- F is in 2, and if E is in 2, then C is also in 2.
- D is in 1 and if F is in 2, then A is also in 2.
- A and E are both in 2.
- D is in 2 and E is in 1, and if C is in 2, then B is in 1.
- D and B are both in 2.
- The statements 1-6 are wrong.
Who is in which group?

- A and B cannot both be in 1. Either A is in 1, B is in 1, or Neither are in one

Either A or B, or both A and B is in group 2. - F is undefined. E is undefined. C is undefined.
- D is undefined. F is undefined. A is undefined.
- Either A or E, or both A and E are in group 1.
- D is undefined. E is undefined. C is undefined. B is undefined.
- Either D or B, or both D and B are in group 2.

No solution.

If a statement is wrong, only one component may be wrong. Therefore, F is undefined.

For instance, in 2. F may be in 2, because only the end of the statment may be wrong. Therefore F is undefined

Solution to (“Perfect Logicians”)

[tab]A: Since he has 12, that means I do not have 9.

Case 1. I have 15. This means he thinks he has 12 or 9.

Case 2. I have 12. This means he thinks he has 12 or 15.

If I say no, that will tell him that he does not have nine, and that I know he does not have nine. Because if he had nine, that would mean I have 15. But I am unsure if I have 15.

“No.”

B: Him saying no means I do not have 9. Because if I had nine, he would know that his is 15. So he knows i do not have nine.

Case 1. I have 15. This means he thinks he has 12 or 9.

Case 2. I have 12. This means he thinks he has 12 or 15.

If I say no, that will tell him that he does not have nine, and that I know he does not have have nine, and that I know he does not have nine. Because if he had nine that would mean I know I have 15. But I am unsure if I have 15.

“No.”

A: Case 1. I have 15. Since I already made him know he doesn’t have 9, this means he would think he has twelve. Since he doesn’t know if he has twelve, this means Case 2 is true, that I have twelve.

“I have twelve.”

Three turns[/tab]

Arminius:Six people in two groups.

There are six people A, B, C, D, E, F which are in each case either in group 1 or group 2. The following statements are given:

- Both A and B are in 1.
- F is in 2, and if E is in 2, then C is also in 2.
- D is in 1 and if F is in 2, then A is also in 2.
- A and E are both in 2.
- D is in 2 and E is in 1, and if C is in 2, then B is in 1.
- D and B are both in 2.
- The statements 1-6 are wrong.
Who is in which group?

- A and B cannot both be in 1. Either A is in 1, B is in 1, or Neither are in one

Either A or B, or both A and B is in group 2.- F is undefined. E is undefined. C is undefined.
- D is undefined. F is undefined. A is undefined.
- Either A or E, or both A and E are in group 1.
- D is undefined. E is undefined. C is undefined. B is undefined.
- Either D or B, or both D and B are in group 2.
No solution.

Sorry, but there is a solution.

Solution to (“Perfect Logicians”)

[tab]A: Since he has 12, that means I do not have 9.

Case 1. I have 15. This means he thinks he has 12 or 9.

Case 2. I have 12. This means he thinks he has 12 or 15.

If I say no, that will tell him that he does not have nine, and that I know he does not have nine. Because if he had nine, that would mean I have 15. But I am unsure if I have 15.

“No.”

B: Him saying no means I do not have 9. Because if I had nine, he would know that his is 15. So he knows i do not have nine.

Case 1. I have 15. This means he thinks he has 12 or 9.

Case 2. I have 12. This means he thinks he has 12 or 15.

If I say no, that will tell him that he does not have nine, and that I know he does not have have nine, and that I know he does not have nine. Because if he had nine that would mean I know I have 15. But I am unsure if I have 15.

“No.”

A: Case 1. I have 15. Since I already made him know he doesn’t have 9, this means he would think he has twelve. Since he doesn’t know if he has twelve, this means Case 2 is true, that I have twelve.

“I have twelve.”

Three turns[/tab]

Sorry, but that is false.

Perfect Logicians.

Players A and B both have got the number 12 written on her forehead. Everyone sees the number on the front of the other but does not know the own number. The game master tells them that the sum of their numbers is either 24 or 27 and that this numbers are positive integers (thus also no zero).

Then the game master asks repeatedly A and B alternately, if they can determine the number on her forehead.

`A: "No". B: "No". A: "No". B: "No". A: "No". ....`

After how many "no"s does the game end, if at all?

You need to learn to write. This makes no sense.