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Cumbrian Byte Lodge No. 9760




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PUZZLES/ILLUSIONS JUST FOR FUN!
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  SORT YOURSELF OUT!  
This puzzle concerns some Masonic gnomes in the Province of Gnome Man's Land.  These Masonic gnomes lived in a dark forest for so long that their pointy little hats, which were either red or blue, had grown attached to their heads.  No-one knew any longer the colour of his own hat.  Every day, they went along a narrow path in the woods to a big clearing, where the Prov Grand Master gnome would do a head count and see that all 424 gnomes were present.

But, one day the Prov Grand Master gnome said:  "Brethren, I am getting old, and I can't see very well, particularly when all your blue and red hats are so mixed up.  It's all a bit of a blur.  Tomorrow, just to make it easier for your old Grand Master, would you please all stand according to colour."

And the next day, all the gnomes trolled (excuse the unintended pun) down the path to the clearing one by one, and stood exactly as the Prov Grand Master gnome had requested:  all the blue hats on one side of the clearing, all the red hats on the other.  And the chief looked at the red hats, looked at the blue hats, and saw that all were present.

But the question is how they had managed to do it, given that they could not possibly know the colour of their own hats, and they would never dream of asking each other the colour of their own hats or, worse still look in a mirror, they didn't tell each other where to stand and worse still you know what it's like trying to organise a bunch of Masons....


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