Help - Search - Members - Calendar
Full Version: Very Hard Puzzles.
Forums > ABRSM > Forums Cafe > Games Zone
Pages: 1, 2
Mushroom
Hello, I have an incredibly hard puzzle to solve, here it is.

There is a prisoner, and in front of him there are two doors, one leads to freedom, the other to certain death, he doesn't know which one is which. There are two guards , guarding one door each, they know which door leads to death and freedom. One guard always lies, the other always tells the truth, the prisoner doesn't know which one lies and which one is truthful. To ensure he goes for the right door, which ONE question can he ask?
(The guards can only answer yes or no.)
kayladavies
Are you dead?
janexxx
QUOTE(kayladavies @ Jul 19 2006, 01:03 PM) *

Are you dead?

Well you'll know which one lies, but how will you know which is the right door?? You only have ONE question.

I know this one...the two guards know which one of them lies and which one tells the truth. Does that help?
Mushroom
If you'd looked, I've already said that.

I'll give you a clue, ask the guard about the other guard.
bobifier
You ask one guard what the other guard would say, then go through the OTHER door.

I thought EVERYONE knew that... ph34r.gif

Mushroom
You're quite close Bobifier, think about what you just said.
bobifier
QUOTE(Mushroom @ Jul 19 2006, 05:32 PM) *

You're quite close Bobifier, think about what you just said.

Well you turn it into a yes/no question, such as 'Oy, you, would that bloke over theyer tell me to go in this door' and then go through the door opposite to the one implied.

Actually, I once heard another answer to that one, and I can't remember what it was...
Mushroom
Well, since you're so close, I'll tell you, you ask 'Will the other guard tell me this door leads to freedom.' if the guard answers yes, then that is indeed the freedom door, and you go through. If the guard answers no, then the door leads to death, and you go through the other door. tongue.gif
bobifier
QUOTE(Mushroom @ Jul 19 2006, 05:38 PM) *

Well, since you're so close, I'll tell you, you ask 'Will the other guard tell me this door leads to freedom.' if the guard answers yes, then that is indeed the freedom door, and you go through. If the guard answers no, then the door leads to death, and you go through the other door. tongue.gif

That's wrong, in fact. If you were to ask the lying guard 'will blokey over theyer tell me that thissy here door will lead to freedom', he will inevitably say 'no'. Your algorithm would then send you through the door of doom.(Please excuse me writing in accents ph34r.gif )

And, I think you will find, my way works perfectly well.
Mushroom
No, I made a mistake, if the guard says no when you ask the question, then it is the freedom door.

If you ask the guard that lies if 'Blokey' will say this is the freedom door, and he says No, that means it is the freedom door because the other Guard would say it was the freedom door, so the lying guard says he wouldn't.


If you ask the truthful guard if the other guard would say this is the freedom door, and it is, the guard will say no as the other guard would say it is not the freedom door, and so he would tell you that.

O.K then another puzzle.

There is going to be a truel, which is a Duel involving three people.

The three participants:

Jim: A fantastic shooter who always hits the target.
Dave: A reasonable shooter who hits half the time.
Bob: A rubbish shooter who only hits a third of the time.

They are going to take turns shooting in the following order:

Bob,
Dave,
Jim.

Where should Bob shoot first?
superpyroman
behind him to make sure that he doesn't hit either of the other two, next dave will shoot jim as he is a better aim rather than bob as he doesn't hold a grudge against him for shooting him, if he hits then bob will have a 1 in 3 chance of winning and if he misses then he will still have the same odds whereas if he shot either of the others, chances are that he would get killed

that wasn't anywhere near impossible.....
bobifier
QUOTE(Mushroom @ Jul 19 2006, 06:02 PM) *

No, I made a mistake, if the guard says no when you ask the question, then it is the freedom door.

If you ask the guard that lies if 'Blokey' will say this is the freedom door, and he says No, that means it is the freedom door because the other Guard would say it was the freedom door, so the lying guard says he wouldn't.


If you ask the truthful guard if the other guard would say this is the freedom door, and it is, the guard will say no as the other guard would say it is not the freedom door, and so he would tell you that.

I'm sorry, I didn't absorb any of that, it can get quite confusing and I can't be bothered to concentrate tonight.

EDIT: And I agree with my brother's answer to the latest installment
superpyroman
QUOTE(Mushroom @ Jul 19 2006, 05:38 PM) *

Well, since you're so close, I'll tell you, you ask 'Will the other guard tell me this door leads to freedom.' if the guard answers yes, then that is indeed the freedom door, and you go through. If the guard answers no, then the door leads to death, and you go through the other door. tongue.gif



any answer that gives any kind of double negative would work. I can't think of many that haven't been said though

QUOTE(superpyroman @ Jul 19 2006, 07:30 PM) *

behind him to make sure that he doesn't hit either of the other two, next dave will shoot jim as he is a better aim rather than bob as he doesn't hold a grudge against him for shooting him, if he hits then bob will have a 1 in 3 chance of winning and if he misses then he will still have the same odds whereas if he shot either of the others, chances are that he would get killed

that wasn't anywhere near impossible.....



in fact I think a table could be drawn from this

assuming that each participant will always attack someone who has missed them or if none exists, the most threatening person.......

*starts drawing table*
superpyroman
IPB Image

here it is


I have declined to put any calculation on it yet and I'm not completely sure about the middle column, but it conveys clearly that my suggestion is best?
lizbun
You can ask "Is 1+1,2?" (question at the top)
superpyroman
do you have any more 'nearly impossible' puzzles?
Mushroom
O.K then, they were the hardest two, but there is another one.

You have a cylinder tin, and you ahve to fill it EXACTLY half full, you can't accurately measure it, and you have no means of meassuring it. What do you do?
superpyroman
tip it on its side and fill it so that the water reaches the rim and the top of the bottom(here is a diagram as it probably doesn't make sense)IPB Image



do you have anything a bit harder?
Mushroom
Well done, O.K I haven't got any more. tongue.gif
superpyroman
you got my hopes up and everything, try tricky's riddles, they're hard
Mushroom
I only use my own riddles, and I know it's weird I haven't got the sunglasses smiley at the top, but I couldn't be botherewd to use a proper reply, and so I used a fast reply. tongue.gif
Car Expert
QUOTE(Mushroom @ Jul 21 2006, 04:54 PM) *
I used a fast reply. tongue.gif
That's what most cafe users use wink.gif

Car Expert
Mushroom
Well that's because they're the best, erm... Car expert, how do you get such a long signature? tongue.gif It won't let me have any longer than mine is.
Car Expert
QUOTE(Mushroom @ Jul 21 2006, 04:58 PM) *
Well that's because they're the best, erm... Car expert, how do you get such a long signature? tongue.gif It won't let me have any longer than mine is.
That's because your signature is one l - o - n - g line wink.gif

Car Expert
Mushroom
Perhaps. tongue.gif
Car Expert
At last we're getting somewhere rolleyes.gif

Car Expert
Mushroom
Maybe. tongue.gif
bobifier
I've just changed my signature, and I don't know why, because now I think it's worse sad.gif
superpyroman
I change mine frequently
Car Expert
QUOTE(bobifier @ Jul 21 2006, 05:06 PM) *
I've just changed my signature, and I don't know why, because now I think it's worse sad.gif
Make your signature into a cake then wink.gif

Car Expert
Mushroom
I can't see any difference Bobifier.
superpyroman
QUOTE(Car Expert @ Jul 21 2006, 05:08 PM) *

QUOTE(bobifier @ Jul 21 2006, 05:06 PM) *
I've just changed my signature, and I don't know why, because now I think it's worse sad.gif
Make your signature into a cake then wink.gif

Car Expert



I never thought of that

*turns signature into cake*
Mushroom
???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Car Expert
Were you trying to hide something behind those question marks, Mushroom? Maybe it's an extended version of your signature? wink.gif

Notice that we are going way off-topic wink.gif

Car Expert
Mushroom
There's nothimg more to say on the topic, I've ran out of Puzzles, maybe I'll have to start a new thread, maybe I should start Pick Up Sticks.
Devil_Fiddler
OK, here's a couple -

1. How far can a dog run in to a forest?

2. A house has four southern aspects. A bear walks past. What colour is the bear?
Allannah
I know the answer to No. 2 - the bear is white because the house is at the north pole.
janexxx
And a dog can run half way into the centre of the forest, after he will be running out of the forest.

Devil_Fiddler
Oh dear... you're all just too clever.
Mushroom
Those were easy I've heard them both before, I've got another variation on The house one, it goes...
A Man walks ten miles south, ten miles east, and takes a photo of a bear, he then walks ten miles north and arrive back at his original starting point, what colour was the bear?

but I've got another one...

A boat is sat on a beach and the tida is just covering a millimetre layer of the bottom, the tide is rising at a rate of three feet an hour, and there is a rope ladder hanging of the boat, just touching the water, the rungs are exactly 1 foot apart. How many rungs willl be covered in two hours? smile.gif
asgirl
The same as at the start because the boat will rise with the tide.
Mushroom
Well done. smile.gif
lucietake2
i have two friends from ncwo...who have the same birthday, same parents and also share a brother...but they're not twins. how?
ben_walker446
They were born on different years??
asgirl
QUOTE(lucietake2 @ Jul 28 2006, 08:48 AM) *

i have two friends from ncwo...who have the same birthday, same parents and also share a brother...but they're not twins. how?


They are two of triplets, their brother is the third triplet!
ben_walker446
oh yeh smile.gif
lucietake2
QUOTE(kayladavies @ Jul 28 2006, 02:09 AM) *

QUOTE(lucietake2 @ Jul 28 2006, 08:48 AM) *

i have two friends from ncwo...who have the same birthday, same parents and also share a brother...but they're not twins. how?


They are two of triplets, their brother is the third triplet!


yea well done smile.gif it always stuns people - they're identical...and people go "wow are you twins?" and so they say no...and people think its amazing that they're such similar sisters!
lucietake2
A man was outside taking a walk when it began to rain. He did not have an umbrella and he wasn't wearing a hat. His clothes were soaked, yet not a single hair on his head got wet. How could this happen?
Allannah
He was bald?
Mushroom
I've got one.

Someone told me (Can't think of a sensible name.) that two days ago they were 13, but next year they'll be 16, what date is their birthday and what date did they tell me this?
This is a "lo-fi" version of our main content. To view the full version with more information, formatting and images, please click here.