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Puzzles, Jokes, Anecdotes, and Thoughts

Discussion in 'General' started by pianolady, Dec 14, 2007.

  1. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    That sounds nice, Raymond. I've always felt that somehow (and maybe a little magically) things usually work out.
     
  2. juufa72

    juufa72 New Member Piano Society Artist

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    Time for a puzzle:

    Laura said to Tim, "Two days ago I was 7, but next year I'll be ten!" She was telling the truth! How is this possible and what day was it?
     
  3. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    hmmm....leap year?
     
  4. rsmullyan

    rsmullyan New Member Piano Society Artist

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    I also thought of Leap Year, but I don't see how that helps. I give up!
     
  5. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    wait...wait...wait...

    (good time of the year for this one, JG)

    The day must be January 1st. You were 7 years old two days ago on Dec. 30th. Then on December on Dec. 31st you turned 8. Since it is now the start of a new year, you will be 9, and so the following year you will be 10.
     
  6. rsmullyan

    rsmullyan New Member Piano Society Artist

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    That's an excellent problem, Joufa. Where did you get it?
     
  7. juufa72

    juufa72 New Member Piano Society Artist

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    I found it in a child's book about mathematics and fun with numbers. Though, I tweaked the problem to make it a little more difficult for our adult minds! (The original started with "On January 1st....")
     
  8. rsmullyan

    rsmullyan New Member Piano Society Artist

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    An!That was clever of you, Joufa!
     
  9. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    Clever of me to have found the answer!
     
  10. juufa72

    juufa72 New Member Piano Society Artist

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    Found? Or used your noggin?
     
  11. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    Found, is the key word, J. I've never been able to lie - even on a forum.
     
  12. rsmullyan

    rsmullyan New Member Piano Society Artist

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    Here is a little puzzle of mine that you might like:


    The Case of the Smithsonian Clocks
 Raymond Smullyan
    Two friends, whom we will call Arthur and Robert, were curators at the Smithsonian Museum. Both were born in the month of May, one in 1932 and the other a year later. Each was in charge of a beautiful antique clock. Both of the clocks worked pretty well, considering their ages, but one of them lost ten seconds an hour and the other gained ten seconds an hour. On one bright day in January, the two friends set both clocks right at exactly 12 noon. ``You realize,'' said Arthur, ``that the clocks will start drifting apart, and they won't be together again until---let's see---why, on the very day you will be 47 years old. Am I right?'' Robert then made a short calculation. ``That's right!'' he said.

    Who is older, Arthur or Robert?
     
  13. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    hmmmm.......
     
  14. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    I'm still not sure about this, and I'm not even looking it up on the internet, but I will answer in a simple form:

    Arthur is older because his clock is going backwards by 10 seconds at a time, and Robert's clock is going ahead by 10 seconds at a time. So then Robert's clock will meet up with Arthur - who is already 47 and so at the time when the two clocks meet, it will be Robert's birthday and he will turn 47.
     
  15. rsmullyan

    rsmullyan New Member Piano Society Artist

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    Sorry, that's not right!
     
  16. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    Ok, then the answer has to be Robert but I cannot say why.
     
  17. rsmullyan

    rsmullyan New Member Piano Society Artist

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    SOLUTION TO THE SMITHSONIAN CLOCK PUZZLE

    Each hour the two clocks drift 20 seconds apart. We must first determine in how many days they will come together again. Well, they will be together
    again after they have drifted 12 hours apart, which is 43,200 seconds ( 12x60x60). Since they drift apart 20 seconds each hour, they drift apart
    43,200 seconds in 2160 hours (43,200 divided by 20), which is 90 days (2160 divided by 24).Thus they will be together again in 90 days.

    Now, how can one fit 90 days between some day in Jan. and some day in May? Only from the last day in Jan. to the first day in May, and provided
    IT IS NOT A LEAP YEAR ! [You can check this on a calender.] On a leap year it is impossible for any day in Jan. to be exactly 90 days away from any day in May. Thus the year of the story is not a leap year! Now, since on the year of the story Robert is 47, had he been born in 1933, the year would be 1980, which IS a leap year, hence Robert was not born in 1933. Thus he was born in 1932 and is therefore the older one.
     
  18. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    That one was too tough for me :!:
     
  19. rsmullyan

    rsmullyan New Member Piano Society Artist

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    Never lend books, for no one ever returns them; the only books I have in my library are books that other folks have lent to me”
     Anatole France quote
     
  20. pianolady

    pianolady Monica Hart, Administrator Staff Member Piano Society Artist Trusted Member

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    That's just like my sister. Anything I lend her, I never see again... :x
     

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