Results 1 to 4 of 4

Math Help - Logic puzzle for tomorrow :-(

  1. #1
    Senior Member
    Joined
    Apr 2006
    Posts
    290

    Logic puzzle for tomorrow :-(

    Hi,

    Could someone please help me with this logic puzzle

    At a recent athletics meeting, five old acquaintances: Fred, Greta, Hans,
    Iolo and Jan met together for the first time since leaving school, so they
    had a lot of news to catch up on.
    It seemed they all lived in different towns: Acton, Buswick, Coalford,
    Derby and Eccles; and that they all had different jobs which were, in no
    particular order: an engineer, a lawyer, a teacher, a doctor and a
    shopkeeper.
    To round it off, each one was the winner in just one event at the meeting.
    These were: 100 metres, 400 metres, 1500 metres, High Jump and
    Javelin.

    The following facts were also known:
    1. Hans the shopkeeper from Derby won the High Jump.
    2. The lawyer was from Eccles and said he was not a runner.
    3. Greta was P.E. teacher from Buswick and won the 1500 metres
    4. The doctor, who came from Acton, did not win the 100 metres.
    5. The person from Derby was not an engineer.
    6. Iolo was an engineer from Coalford and did not win the 400 metres.
    7. Jan was not a lawyer, but did win the the 400 metres.
    8. Fred did not come from Acton and was not a runner.

    (a) Which event did the person from Coalford win?
    (b) Which town did Jan come from?
    (c) What was the name of the lawyer?
    (d) Which event did the engineer win?
    (e) Which event did Fred win?


    Please help asap,

    Many thanks

    Natasha
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Dec 2008
    Posts
    152
    a) 100m
    b) Acton
    c) Fred
    d) 100m
    e)
    Javelin

    See the picture for explanation :P
    There is no real logic in it. It's pretty much connecting the dots.

    by the way, A,B,C... are the first letters of the towns.
    F,G,H... are the first letters of the people's names.


    Attached Thumbnails Attached Thumbnails Logic puzzle for tomorrow :-(-p1260284.jpg  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    DCC
    DCC is offline
    Newbie DCC's Avatar
    Joined
    Jan 2009
    From
    San Francisco
    Posts
    6
    Natasha,

    Let me walk you through the steps. First, line up everything you know from the statements in a matrix. Names are F-J, cities are A-E, others are self explanatory.

    Can't make a table in here, but it's pretty simple. Make the first line names, second line towns, third line events, fourth profession (or however you want to.)

    Then it's time to fill in the blanks. Per 7, J can't be a lawyer, so must be a doctor. Then you know that F is a lawyer, because there's nothing left. That solves the professions.

    Now we do towns. Per 2, the lawyer (F) is from E. Which means J must be from A, since it's the only one left. That takes care of the towns.

    Finallly, the events. per 8, F isn't a runner, so must have won the Javelin (since the high jump is already solved.) That leaves I, who must have won the 100 as that's all that's left.

    Now you've got a completed table with all the information, so just pull your answers out of it.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member
    Joined
    Apr 2006
    Posts
    290
    Thanks metlx!

    It's simple now :-)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Logic Puzzle, can any one solve this?
    Posted in the Math Puzzles Forum
    Replies: 5
    Last Post: October 22nd 2011, 11:49 PM
  2. Logic Puzzle
    Posted in the Math Puzzles Forum
    Replies: 1
    Last Post: October 12th 2010, 07:39 PM
  3. Logic Puzzle
    Posted in the Math Challenge Problems Forum
    Replies: 3
    Last Post: August 10th 2009, 02:00 PM
  4. A very difficult logic puzzle
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: June 24th 2009, 02:09 AM
  5. Logic Puzzle
    Posted in the Math Challenge Problems Forum
    Replies: 5
    Last Post: January 22nd 2006, 11:51 AM

Search Tags


/mathhelpforum @mathhelpforum