Results 1 to 4 of 4

Thread: Interesting Puzzle......

  1. #1
    Expert Member
    Join Date
    May 2009
    Answers
    1,374

    Smile Interesting Puzzle......

    Guys,


    A cubic piece of cheese has been subdivided into 27 subcubes (so that it looks like a Rubik's Cube).


    A mouse starts to eat a corner subcube. After eating any given subcube it goes on to another adjacent subcube.

    Then guys.............


    Is it possible for the mouse to eat all 27 subcubes and finish with the center cube?

    Try u r best.....

    All t best.
    Thanks ,

    Riju.


  2. #2
    Expert Member
    Join Date
    May 2009
    Answers
    1,374

    Re: Interesting Puzzle......

    Guys,

    The answer is very simple.... NO


    Bcoz.....


    Consider the subcubes to form a three dimensional checkerboard composed of subcubes of swiss and cheddar cheese.


    Assume the corners and centers of each face are swiss cheese and the rest of the subcubes, including the center, are cheddar cheese.

    Assume the mouse eats two subcubes an hour.

    At the beginning of every hour the mouse will be starting on a swiss subcube and will end the hour with a subcube of cheddar cheese.

    After 13 hours the mouse will have just finished a cheddar subcube. However the center subcube is also cheddar.

    Since two adjacent cubes must be of different kinds of cheese the mouse can not eat the center cube last.


    Dont worry...........

    Try u r best in next puzzle.......

    The link is here............

    http://www.geekinterview.com/talk/15...ng-puzzle.html

    All t Best


    Thanks,
    Riju.

    Last edited by rijus; 06-18-2009 at 02:25 PM.

  3. #3
    Junior Member
    Join Date
    Dec 2009
    Answers
    2

    Unhappy Re: Interesting Puzzle......

    no possible to eat all


  4. #4
    Junior Member
    Join Date
    Mar 2008
    Answers
    11

    Re: Interesting Puzzle......

    The puzzle clearly indicates the cheese is in the form of rubik cube.

    A rubik Cube consists of 8 Three faced pieces(Corner Pieces, lets call as '3f'), 12 two faced pieces('2f'), and 6 one face pieces(1f). Now the center piece, which is the final target of the mouse, is not visible in rubik cube, so we call it as zero faced piece('0f'). We have totally 27 pieces.

    Now each of the Odd faced piece(3f,1f) is always adjacent to an even faced piece(2f,0f).

    In the puzzle, the mouse starts from 3f - an odd faced piece. So after completing 26 pieces(omitting 0f) it should be at an even faced piece. And its position cant be adjacent to 0f, since 0f is also an even faced piece.


    So, Mouse Cant end at center cube!!!


  5.  Sponsored Ads
    Ad


     

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  
About us
Applying for a job can be a stressful and frustrating experience, especially for someone who has never done it before. Considering that you are competing for the position with a at least a dozen other applicants, it is imperative that you thoroughly prepare for the job interview, in order to stand a good chance of getting hired. That's where GeekInterview can help.
Interact