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Thread: Daily puzzles/problems.

  1. #106
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    That's right, billl - over to you.

  2. #107
    Registered User billl's Avatar
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    OK, I'm gonna try and come up with something. Maybe I'll have to check out a puzzle website or something, because I can't remember any...

    In the meantime, please, if anyone else has a good one, go right ahead and post it!

    (EDIT: I will be back online and will at the very least cut and paste something from a website probably between 7 and 12 hours from now, if no one else has a good one...)
    Last edited by billl; 10-28-2010 at 02:13 PM.

  3. #108
    Registered User billl's Avatar
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    Which wartime U.S. president is famous for:

    1) side-burns
    2) top hat
    3) blonde hair
    4) not finishing his term

  4. #109
    Registered User billl's Avatar
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    OK, I am gonna just give the answer to that latest puzzle that I made up by myself. The answer is:

    Abe Lincoln

  5. #110
    Registered User billl's Avatar
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    HERE IS THE NEXT PUZZLE!

    This is copy and pasted from Wikipedia

    Three guests check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 for himself.

    Now that each of the guests has been given $1 back, each has paid $9, bringing the total paid to $27. The bellhop has $2. If the guests originally handed over $30, what happened to the remaining $1?
    I'm sorry, I feel cheap for doing this.... But I wanted to give you guys an interesting, PROFESSIONAL, brain-teaser...

  6. #111
    Registered User Leland Gaunt's Avatar
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    You don't need to add the 2 and 27 because the 2 is already included within the 27...I think.
    Nothing, nothing is certain, except the insignificance of everything I can comprehend and the grandeur of something incomprehensible but most important" -Andrei Bolkonsky
    "But, I didn't do anything"- Professor Lawrence Gopnik
    "Cat in the wall, eh? Okay, now you're talking my language. I know this game." -Charlie Kelly

  7. #112
    Registered User billl's Avatar
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    Yep--for the guests, that $2 that the bellhop is holding is an overpayment on their part, and it is included in the $27. Good work--people can check the Wikipedia link up there for the fleshed-out answer...

    ...but it is just a trick going on when it is suggested that the $2 be added to the $27 for some reason. The $2 is actually just what is left over from the $5, after the customers got their $3. If the bellhop, in a fit of honesty, went back and gave the $2 to one of the guests (or divied it up somehow, e.g. $o.66 each), then we would see that the guests had no longer overpaid the two dollars. Their $27 total payment would finally be reduced to the $25 that they actually owed.
    Last edited by billl; 10-29-2010 at 10:00 PM. Reason: italics frenzy

  8. #113
    Registered User prendrelemick's Avatar
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    Here's a quick easy one while we're waiting for billl

    8 9 6 3 2 1 4 ?

  9. #114
    Registered User billl's Avatar
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    I have to do another (non-researched) one? I will keep trying, because this is a great thread, but I am having trouble remembering another one. I like the more social/conversational mood here, where we are posting from our memory of these puzzles, but I might have reached my limit. But I will keep trying, because I probably will come up with something eventually

  10. #115
    Registered User billl's Avatar
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    Quote Originally Posted by prendrelemick View Post
    Here's a quick easy one while we're waiting for billl

    8 9 6 3 2 1 4 ?
    I find this one neither quick nor easy.

  11. #116
    Registered User billl's Avatar
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    7!

    Re-arranging the sequence as consecutive top-to-bottom columns, we get:
    8 2
    9 1
    6 4
    3 ?
    Paired thusly, it seems that adding 7 to 3 will give us 10, just as the other pairs do. Nice one, did you make that one up yourself?

    Assuming that I am correct (and there might very well be some other solution you had in mind...), I will next post a classic 'puzzle' that I finally managed to remember.

  12. #117
    Registered User billl's Avatar
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    Game Show Problem

    You have been called down from the audience to participate on a game show. The host stands with you before three large curtains, numbered 1, 2, and 3. Behind one of the curtains, there is a check for $10,000. The other two curtains have nothing behind them. You must decide which curtain you think conceals the prize.

    After you have chosen (for example, curtain number 1), the host gives you one more chance to change your mind. But before you decide whether or not to change, the host will pull aside one of the curtains that you have not chosen (for example, curtain number 2), in order to show that there is nothing behind it.

    So, what should you do:

    1) choose the other curtain (in the example, curtain number 3)
    or
    2) keep to your original choice (e.g. curtain number 1)

    and Why?


    (I hope I explained this one well, please ask if anything needs clarification...)

  13. #118
    Dreaming away Sapphire's Avatar
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    I know you have to change, but I always thought it went against all common sense No matter how good the explination It's a bit like the hare and the turtle...

    The first time you have a 1 in 3 chance to get it right. The second time, when you choose the other curtain, you have a 1 in 2 chance. BUT that goes for both doors, so that wasn't the explination
    Erm...
    The chance you have it right the first time, is 1/3. So you probably have it wrong (2/3). After the curtain with nothing behind it is opened, you better switch to the one that is left (neither chosen the first time or openend). But what the chances are for that one, I'm not sure. I just know they're better

    If anybody knows how to explain this more clearly, please do!
    It is not too late, to be wild for roundabouts - to be wild for life
    Wolfsheim - It is not too late

  14. #119
    Registered User prendrelemick's Avatar
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    Quote Originally Posted by billl View Post
    7!

    Re-arranging the sequence as consecutive top-to-bottom columns, we get:
    8 2
    9 1
    6 4
    3 ?
    Paired thusly, it seems that adding 7 to 3 will give us 10, just as the other pairs do. Nice one, did you make that one up yourself?

    Assuming that I am correct (and there might very well be some other solution you had in mind...), I will next post a classic 'puzzle' that I finally managed to remember.
    I just went clockwise round the number pad on my keyboard but 7 is right.

  15. #120
    www.markbastable.co.uk
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    This is a maddening one, actually - because the odds are completely dependent on when you assess them.

    You could say that once you're down to two curtains, it's fifty-fifty which is the prize curtain, so why change.

    But actually, that's not quite true - and it's because you've been made to choose before you get to that point.

    Imagine there are a million curtains. You choose one. They take away all but one of the others.

    At that point it's pretty obvious that the chances of you having picked the right one are one-in a-million. And pretty obviously, you'd swap, because they know which is the right one, so you'd tend to believe that they've got it right because you got it wrong.

    The same principle applies with three curtains, but the odds are shorter. The fact remains, however, that it's absolutely certain they've picked the right one of two if you haven't already picked it, but only one in three that you picked the right one in the first place.

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