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Interesting Puzzle......

This is a discussion on Interesting Puzzle...... within the Mathematical Puzzles forums, part of the Brain Gym category; 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 ...

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  #1 (permalink)  
Old 06-14-2009
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rijus is just really nicerijus is just really nicerijus is just really nicerijus is just really nicerijus is just really nice
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.
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Old 06-18-2009
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Join Date: May 2009
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rijus is just really nicerijus is just really nicerijus is just really nicerijus is just really nicerijus is just really nice
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 (Simple & Interesting puzzle......)

All t Best


Thanks,
Riju.

Last edited by rijus; 06-18-2009 at 03:25 PM.
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