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Thread: Daily puzzles/problems.

  1. #1006
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    Well done, folks - down to you now, Mick, I think.....

  2. #1007
    www.markbastable.co.uk
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    A bit more on 'Bristol fashion', suggesting a practical reason for ships in Bristol Harbour having to be well-organised.

  3. #1008
    Registered User billl's Avatar
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    Yes, the difference in the clothes she wears--down to Mick...
    Last edited by billl; 06-28-2011 at 02:34 AM.

  4. #1009
    Registered User Calidore's Avatar
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    Thanks for the education, prendrelemick!
    You must be the change you wish to see in the world. -- Mahatma Gandhi

  5. #1010
    Registered User prendrelemick's Avatar
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    You have a 6 inch tall cylindrical glass with some water in it. You know the glass holds 12 fl oz when full. When you tilt the glass untill the water is just at the brim on one side, it is 4 inches below the rim on the other. How much water is in the glass.?

  6. #1011
    Ecurb Ecurb's Avatar
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    Quote Originally Posted by prendrelemick View Post
    You have a 6 inch tall cylindrical glass with some water in it. You know the glass holds 12 fl oz when full. When you tilt the glass untill the water is just at the brim on one side, it is 4 inches below the rim on the other. How much water is in the glass.?
    I haven't taken a math class in many decades. However, 8 oz. seems the obvious answer. In other words, 1/3 of the original in the 2" of cylinder at the bottom (4 oz.) + 1/2 of the remaining 2/3 volume (another 4 oz.).

  7. #1012
    Registered User prendrelemick's Avatar
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    Well, that was treated with the contempt it deserved. Probably the fastest ever correct answer.

    Your turn to post something Ecurb.

  8. #1013
    Ecurb Ecurb's Avatar
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    How many times must a man look up before he can see the sky?

    (OK, that one's too easy. I'll come up with something else.)

    Here's one from Lewis Carrol:

    1) There are no pencils of mine in this box.
    2) No sugar-plumbs of mine are cigars.
    3) The whole of my property, that is not in the box, consists of cigars

    Assuming these three axioms, what can we conclude?

  9. #1014
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    Quote Originally Posted by Ecurb View Post
    How many times must a man look up before he can see the sky?

    (OK, that one's too easy. I'll come up with something else.)

    Here's one from Lewis Carrol:

    1) There are no pencils of mine in this box.
    2) No sugar-plumbs of mine are cigars.
    3) The whole of my property, that is not in the box, consists of cigars

    Assuming these three axioms, what can we conclude?
    If he owns any sugar-plums, they're in the box. He owns no pencils. The fetishistically narrow investment in cigars is unlikely to turn out well, even if he resists smoking his assets.

  10. #1015
    Registered User billl's Avatar
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    You only own cigars. And things that aren't pencils, but are in that box (which belongs to someone else).

  11. #1016
    Registered User prendrelemick's Avatar
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    Quote Originally Posted by billl View Post
    You only own cigars. And things that aren't pencils, but are in that box (which belongs to someone else).



    Notice "sugar-plumbs" not "plums" which has leadey and therefore pencily conotations. (Plumbagoi is a name for the graphite used in pencils)


    I think we can assume that he has some sugar-plumbs from the second statement, and (a weaker assumption) that there are some pencis in the box from the first statement. So we have to assume the sugar plumbs are in the box from the third. BUT because of the wording these are assumpions only


    To sum up:

    It is likely that the box contains someone else's pencils and his own sugar-plumbs. He also owns more than one cigar.
    Last edited by prendrelemick; 06-29-2011 at 12:03 PM. Reason: logic failure

  12. #1017
    Ecurb Ecurb's Avatar
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    According to Charles Dodgson (aka Lewis Carroll), the answer is: "No pencils of mine are sugar-plumbs."

    Here's an explanation:
    http://www.mathorama.com/geom/lessons/puzzle2.html

  13. #1018
    Registered User prendrelemick's Avatar
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    We have gone to where logic slips the surly bonds of reality, where I struggle to follow.


    I wonder what Sherlock Holmes would've come up with?

  14. #1019
    Ecurb Ecurb's Avatar
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    OK, I'll grant that was a hard one. Here's another Lewis Carroll puzzle that's a little easier:

    No kitten that loves fish is unteachable.
    No kitten without a tail will play with a gorilla.
    Kittens with whiskers always love fish.
    No teachable kitten has green eyes.
    No kittens have tails unless they have whiskers.

    What can we conclude?

  15. #1020
    Registered User billl's Avatar
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    Quote Originally Posted by Ecurb View Post
    OK, I'll grant that was a hard one. Here's another Lewis Carroll puzzle that's a little easier:

    No kitten that loves fish is unteachable.
    No kitten without a tail will play with a gorilla.
    Kittens with whiskers always love fish.
    No teachable kitten has green eyes.
    No kittens have tails unless they have whiskers.

    What can we conclude?
    Is the answer short and snappy, or lengthy? One short answer would maybe be:

    No green-eyed kittens will play with gorillas.

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