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A mind game for you all....

Quote by banlwales
Ok then, a man has 3 boxes of fruit in front of him:- 1 marked "apples", 1 marked "oranges" and 1 marked "apples and oranges". He knows that the fruits are correct, but the labels are all wrong. He is only allowed to open one box and take out one piece of fruit, without feeling or looking at any others. How does he determine which fruit or fruits are in which box?

Well because ALL the labels are wrong you start with the Apples and Oranges box. Pull out a fruit. If it's an orange, that's gotta be the orange box, so the apple box is apple and oranges and the orange box is apples. The opposite applies if you pull out an apple.
If you pull out a grapefruit you've entered a parallel universe.
cool
Yes indeedy. Give that dude a banana. smile
Quote by jaymar
On the theme of hat colours, here's a puzzle that was on Radio 4 a couple of years ago:
It's Bilbo Baggins's birthday and he decides to throw a huge party which is going to go on for weeks and weeks - but he does like to sleep so the guests go home each evening and return the next day.
The trouble is there is not enough room at Bag End so when they all arrive Bilbo gives everyone a hat. A white hat means that that guest is invited and may stay, a black hat means that he or she may not.
Everyone knows that there is a least one black hat. The guests cannot see their own hats but can see everyone else's. They don't even try to look at their own hats. Even in the evening when they go home they are too proud to peek.
Pride also prevents them from returning to the party once they work out whether they have a black hat as they know they haven't really been invited. It turns out that there are ten black hats although only Bilbo knows this. How long is it before only white hatted people turn up to the party?

Is he not already there? is it Bilbo who has the hat? This is very similar to the one done earlier.. hmm stuck tho!
Did the answer to this one come out???
Quote by banlwales
On the theme of hat colours, here's a puzzle that was on Radio 4 a couple of years ago:
It's Bilbo Baggins's birthday and he decides to throw a huge party which is going to go on for weeks and weeks - but he does like to sleep so the guests go home each evening and return the next day.
The trouble is there is not enough room at Bag End so when they all arrive Bilbo gives everyone a hat. A white hat means that that guest is invited and may stay, a black hat means that he or she may not.
Everyone knows that there is a least one black hat. The guests cannot see their own hats but can see everyone else's. They don't even try to look at their own hats. Even in the evening when they go home they are too proud to peek.
Pride also prevents them from returning to the party once they work out whether they have a black hat as they know they haven't really been invited. It turns out that there are ten black hats although only Bilbo knows this. How long is it before only white hatted people turn up to the party?

That'll be the 11th night surely.....or is that one of Shakespeare's plays...?
rolleyes
Sorry, I had to pop out - Well done, banlwales.
Here's the reasoning for anyone interested:

Suppose there had been just one black hat. The partygoer wearing it would see no other black hat, and knowing that there must be at least one black hat, would deduce that he himself must be wearing it. He would not turn up on the second night.
Suppose there where two black hats. Each black-hatted one would see one black hat only and would be unable to deduce anything about his own hat. On the next day they would therefore both turn up. Seeing one black-hatted one turn up enables the other black-hatted one to deduce his own hat is black, otherwise the other black-hatted one would not have turned up again on the second night. So both black-hatted ones deduce on the second night that they are both wearing black hats and so don't turn up on the third night.
Similarly, if there are three black hats, these three will not turn up on the fourth night. If there were 10 black hats they would realise this on the 10th night and not turn up on the 11th night.
Quote by NLondonJohn
On the theme of hat colours, here's a puzzle that was on Radio 4 a couple of years ago:
It's Bilbo Baggins's birthday and he decides to throw a huge party which is going to go on for weeks and weeks - but he does like to sleep so the guests go home each evening and return the next day.
The trouble is there is not enough room at Bag End so when they all arrive Bilbo gives everyone a hat. A white hat means that that guest is invited and may stay, a black hat means that he or she may not.
Everyone knows that there is a least one black hat. The guests cannot see their own hats but can see everyone else's. They don't even try to look at their own hats. Even in the evening when they go home they are too proud to peek.
Pride also prevents them from returning to the party once they work out whether they have a black hat as they know they haven't really been invited. It turns out that there are ten black hats although only Bilbo knows this. How long is it before only white hatted people turn up to the party?

That'll be the 11th night surely.....or is that one of Shakespeare's plays...?
rolleyes
Sorry, I had to pop out - Well done, banlwales.
Here's the reasoning for anyone interested:

Suppose there had been just one black hat. The partygoer wearing it would see no other black hat, and knowing that there must be at least one black hat, would deduce that he himself must be wearing it. He would not turn up on the second night.
Suppose there where two black hats. Each black-hatted one would see one black hat only and would be unable to deduce anything about his own hat. On the next day they would therefore both turn up. Seeing one black-hatted one turn up enables the other black-hatted one to deduce his own hat is black, otherwise the other black-hatted one would not have turned up again on the second night. So both black-hatted ones deduce on the second night that they are both wearing black hats and so don't turn up on the third night.
Similarly, if there are three black hats, these three will not turn up on the fourth night. If there were 10 black hats they would realise this on the 10th night and not turn up on the 11th night.
aaaaaaaaaah! thank you!

This will dry you nuts! try it out (maybe in the morning), it's been winding me up all night!
Quote by jaymar
On the theme of hat colours, here's a puzzle that was on Radio 4 a couple of years ago:
It's Bilbo Baggins's birthday and he decides to throw a huge party which is going to go on for weeks and weeks - but he does like to sleep so the guests go home each evening and return the next day.
The trouble is there is not enough room at Bag End so when they all arrive Bilbo gives everyone a hat. A white hat means that that guest is invited and may stay, a black hat means that he or she may not.
Everyone knows that there is a least one black hat. The guests cannot see their own hats but can see everyone else's. They don't even try to look at their own hats. Even in the evening when they go home they are too proud to peek.
Pride also prevents them from returning to the party once they work out whether they have a black hat as they know they haven't really been invited. It turns out that there are ten black hats although only Bilbo knows this. How long is it before only white hatted people turn up to the party?

That'll be the 11th night surely.....or is that one of Shakespeare's plays...?
rolleyes
Sorry, I had to pop out - Well done, banlwales.
Here's the reasoning for anyone interested:

Suppose there had been just one black hat. The partygoer wearing it would see no other black hat, and knowing that there must be at least one black hat, would deduce that he himself must be wearing it. He would not turn up on the second night.
Suppose there where two black hats. Each black-hatted one would see one black hat only and would be unable to deduce anything about his own hat. On the next day they would therefore both turn up. Seeing one black-hatted one turn up enables the other black-hatted one to deduce his own hat is black, otherwise the other black-hatted one would not have turned up again on the second night. So both black-hatted ones deduce on the second night that they are both wearing black hats and so don't turn up on the third night.
Similarly, if there are three black hats, these three will not turn up on the fourth night. If there were 10 black hats they would realise this on the 10th night and not turn up on the 11th night.
aaaaaaaaaah! thank you!
It wouldnt be the 11th night if I was invited and had one of the Ten black hats :rascal:
I would turn up until someone told me to go home, especially if there was brandy at the party! :giggle:
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Quote by jaymar

This will dry you nuts! try it out (maybe in the morning), it's been winding me up all night!

Did it!! :smug:
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Quote by jaymar

This will dry you nuts! try it out (maybe in the morning), it's been winding me up all night!

That as incredibley easy biggrin
Quote by blonde

This will dry you nuts! try it out (maybe in the morning), it's been winding me up all night!

Did it!! :smug:
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx


swot! :jagsatwork: :inlove:
Quote by Drewxcore

This will dry you nuts! try it out (maybe in the morning), it's been winding me up all night!

That as incredibley easy biggrin
hmph, swot too! :jagsatwork: :jagsatwork:
Next???? :giggle:
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
A woman is getting dressed and needs a pair of socks; it's early morning and still dark. She doesn't want to put the light on in case she wakes her partner. In her sock drawer she has 88 pink socks and 96 white socks. What's the minimum amount of socks she has to take out of the drawer to ensure she has a pair.
it's a woman so one pair because she'd have them all neatly folded up into matching pairs when she put them away in the drawer
But if she doesn't have them folded together... 3
Ok another one for you budding brain boxes!
A HECTIC WEEK
When the day after tomorrow is yesterday, today will be as far from Sunday as today was from Sunday when the day before yesterday was tomorrow.
What day is it?

wink
Quote by jaymar
Ok another one for you budding brain boxes!
A HECTIC WEEK
When the day after tomorrow is yesterday, today will be as far from Sunday as today was from Sunday when the day before yesterday was tomorrow.
What day is it?
wink

My birthday?? :smug:
I am right arent I ...... I am ...... I know!
and if I am not ......... I should be!
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Quote by blonde
Ok another one for you budding brain boxes!
A HECTIC WEEK
When the day after tomorrow is yesterday, today will be as far from Sunday as today was from Sunday when the day before yesterday was tomorrow.
What day is it?
wink

My birthday?? :smug:
I am right arent I ...... I am ...... I know!
and if I am not ......... I should be!
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

and what day is your birthday on ?? lol
Jaymar!
When the day after my birthday is yesterday, today will be as far from Sunday as today was from Sunday when the day before yesterday was my birthday.
So ....... you tell me :giggle:
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Is the day Wednesday?
Quote by blonde
When the day after my birthday is yesterday, today will be as far from Sunday as today was from Sunday when the day before yesterday was my birthday.
So ....... you tell me :giggle:
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

wednesday?
Quote by Jemlet
Is the day Wednesday?

Nope petal it is not :high-smile:
Quote by blonde
When the day after my birthday is yesterday, today will be as far from Sunday as today was from Sunday when the day before yesterday was my birthday.
So ....... you tell me :giggle:
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Oh no that would be giving you the answer! hehe, nice try little blonde wink
Quote by jaymar
Is the day Wednesday?

Nope petal it is not :high-smile:
thursday
Quote by blonde
Jaymar!
When the day after my birthday is yesterday, today will be as far from Sunday as today was from Sunday when the day before yesterday was my birthday.
So ....... you tell me :giggle:
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

And if your birthday was Monday, the answer is NO hehe but Happy Birthday if it was! :inlove:
Quote by Drewxcore
Is the day Wednesday?

Nope petal it is not :high-smile:
thursday
You are simply guessing, if the next guess is wrong I tell you the answer because you can have 7 guesses and guess what? one will be right! :crazy:
It wasnt Monday !
or was it? :giggle:
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Quote by Drewxcore
tuesday

NO IT'S SUNDAY!!!!!!!!!!!!
evil
Quote by jaymar
tuesday

NO IT'S SUNDAY!!!!!!!!!!!!
evil
Jaymar .......... you are far too nice ...... you should have made him guess and guess and guess kiss
Sam xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
If you're bored and want to spin your head a bit...and assuming you haven't read the recent popular novel that contains this.....
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?
rolleyes