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Conundrums, Puzzles, Logic Problems (1 Viewer)

Some Tolkien riddles while we wait for a proper conundrum.

This thing all things devours:

Birds, beasts, trees, flowers;

Gnaws iron, bites steel;

Grinds hard stones to meal;

Slays king, ruins town

And beats high mountain down.
Water?
No, sorry, the answer is bears. Actually, it isn't bears or water, according to the riddle as asked in the Hobbit.
Time?
Yup.
 
You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.

There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.

You can, however, ask one robot one question. The problem is one robot always tells the truth ,the other always lies and you don't know which is which.

What is the question you ask?
Point to a door: If I were to ask you if that door leads to freedom, would you say "Yes"?If it's the honest robot and the freedom door, he says "Yes", otherwise, "No."

If it's the lying robot and the freedom door, he says, "Yes", otherwise, "No." Double negatives cancel out.

 
You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.

There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.

You can, however, ask one robot one question. The problem is one robot always tells the truth ,the other always lies and you don't know which is which.

What is the question you ask?
Point to a door: If I were to ask you if that door leads to freedom, would you say "Yes"?If it's the honest robot and the freedom door, he says "Yes", otherwise, "No."

If it's the lying robot and the freedom door, he says, "Yes", otherwise, "No." Double negatives cancel out.
I need some help here....why would the lying robot tell the truth?
 
You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.

There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.

You can, however, ask one robot one question. The problem is one robot always tells the truth ,the other always lies and you don't know which is which.

What is the question you ask?
Point to a door: If I were to ask you if that door leads to freedom, would you say "Yes"?If it's the honest robot and the freedom door, he says "Yes", otherwise, "No."

If it's the lying robot and the freedom door, he says, "Yes", otherwise, "No." Double negatives cancel out.
I need some help here....why would the lying robot tell the truth?
If you were to ask the lying robot "If I were to ask you if that door leads to freedom, would you say yes?", and you pointed to the 'Freedom Door' he would reason:"That door leads to Freedom. If he were to ask me "does that door leads to freedom?", I would lie and answer 'No.' But he's asking me if I 'would say yes.' I would not. But I must lie about that, so I must answer "Yes".

 
Sarnoff said:
biggamer3 said:
You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.

There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.

You can, however, ask one robot one question. The problem is one robot always tells the truth ,the other always lies and you don't know which is which.

What is the question you ask?
Point to a door: If I were to ask you if that door leads to freedom, would you say "Yes"?If it's the honest robot and the freedom door, he says "Yes", otherwise, "No."

If it's the lying robot and the freedom door, he says, "Yes", otherwise, "No." Double negatives cancel out.
I need some help here....why would the lying robot tell the truth?
If you were to ask the lying robot "If I were to ask you if that door leads to freedom, would you say yes?", and you pointed to the 'Freedom Door' he would reason:"That door leads to Freedom. If he were to ask me "does that door leads to freedom?", I would lie and answer 'No.' But he's asking me if I 'would say yes.' I would not. But I must lie about that, so I must answer "Yes".
huh?
 
Sarnoff said:
biggamer3 said:
You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.

There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.

You can, however, ask one robot one question. The problem is one robot always tells the truth ,the other always lies and you don't know which is which.

What is the question you ask?
Point to a door: If I were to ask you if that door leads to freedom, would you say "Yes"?If it's the honest robot and the freedom door, he says "Yes", otherwise, "No."

If it's the lying robot and the freedom door, he says, "Yes", otherwise, "No." Double negatives cancel out.
I need some help here....why would the lying robot tell the truth?
If you were to ask the lying robot "If I were to ask you if that door leads to freedom, would you say yes?", and you pointed to the 'Freedom Door' he would reason:"That door leads to Freedom. If he were to ask me "does that door leads to freedom?", I would lie and answer 'No.' But he's asking me if I 'would say yes.' I would not. But I must lie about that, so I must answer "Yes".
huh?
Try it yourself. Pretend you're a lying robot. How would you answer the question?
 
Sarnoff said:
biggamer3 said:
Point to a door: If I were to ask you if that door leads to freedom, would you say "Yes"?

If it's the honest robot and the freedom door, he says "Yes", otherwise, "No."

If it's the lying robot and the freedom door, he says, "Yes", otherwise, "No." Double negatives cancel out.
I need some help here....why would the lying robot tell the truth?
If you were to ask the lying robot "If I were to ask you if that door leads to freedom, would you say yes?", and you pointed to the 'Freedom Door' he would reason:"That door leads to Freedom. If he were to ask me "does that door leads to freedom?", I would lie and answer 'No.' But he's asking me if I 'would say yes.' I would not. But I must lie about that, so I must answer "Yes".
huh?
Try it yourself. Pretend you're a lying robot. How would you answer the question?
I'm pretty sure I would answer it in the opposite manner as the truth telling robot, meaning the guy looking for freedom hasn't figured anything out. You only get to ask one robot one question...
 
Sarnoff said:
If you were to ask the lying robot "If I were to ask you if that door leads to freedom, would you say yes?", and you pointed to the 'Freedom Door' he would reason:

"That door leads to Freedom. If he were to ask me "does that door leads to freedom?", I would lie and answer 'No.' But he's asking me if I 'would say yes.' I would not. But I must lie about that, so I must answer "Yes".
huh?
Try it yourself. Pretend you're a lying robot. How would you answer the question?
I'm pretty sure I would answer it in the opposite manner as the truth telling robot, meaning the guy looking for freedom hasn't figured anything out. You only get to ask one robot one question...
It doesn't matter which robot you ask. There are two conditions, and the truth-telling robot will answer Yes to both and give a Yes answer. The lying robot will answer No (to be contradictory) to the first part, then have to reverse his position on the second part.Just because you are always lying, does not mean your answer will always be the opposite of the truth-telling robot.

Pretend you're a lying robot, and I ask: "Is the sky dark at night?" You would lie and answer "No."

If, however, I ask: "If I were to ask you 'Is the sky dark at night?' would you say 'Yes'?", you cannot answer 'No', because that would be the truth, since I did, at first, ask that question and you already answered 'No'. Therefore, your answer must be 'Yes'.

If I asked the exact same question of the truth-telling robot, he would also have to answer Yes.

The trick is to not ask a direct question, but a question about the question, which forces the double responses to cancel out the liar's answer.

Edit: more info here. It's not the only way to answer the puzzle, the one upthread also works. However, this one works if there is only one robot, not two, and you don't know which kind he is. It also works if he randomly switches from truthteller to liar. In the "hardest logic puzzle ever" variant, it also works if he speaks a weird language in which you don't know what the words for Yes or No actually are (say you know that the words for yes and no are "ja" and "da" but you're not sure which is which... you can ask "If I were to ask you if this door leads to freedom, would you say 'Ja'?" and if he replies "Ja" it's good, if he says "Da" go the other way).

 
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Re: robot question

Ask either Robot "Which door would the other robot say leads to freedom?"

They both would answer with the door that leads to death - thus you then choose the opposite door.

 
You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.

There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.

You can, however, ask one robot one question. The problem is one robot always tells the truth ,the other always lies and you don't know which is which.

What is the question you ask?
I need an answer, it's been 4 years.

 
You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.

There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.

You can, however, ask one robot one question. The problem is one robot always tells the truth ,the other always lies and you don't know which is which.

What is the question you ask?
I need an answer, it's been 4 years.
"Which door will the other robot tell me is the door to freedom?"

Then you go through the opposite door.
 
You are trapped in a room with two doors. One leads to certain death and the other leads to freedom. You don't know which is which.There are two robots guarding the doors. They will let you choose one door but upon doing so you must go through it.You can, however, ask one robot one question. The problem is one robot always tells the truth ,the other always lies and you don't know which is which.What is the question you ask?
Which door will the other robot tell me to take. Then take the opposite.
:goodposting:
Bump

 
Do you know what the numbers 4, 10, 13, and 19 all have in common?

They are all significantly less than 50.
 
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