The question as it appears in the 10/30 edition of Specs & Techs from GlobalSpec:
A rectangular floor is laid out made up of square tiles of the same size. 81 tiles are laid out in the long direction and 63 in the other.
The question is: If a straight line is drawn diagonally across the floor from one corner to the other, how many tiles will it cross?
If the floor is 472 x 296 tiles, what is the answer?
(Update: Nov 6, 8:45 AM EST) And the Answer is...
Every time it crosses a grout line
it has just passed through a tile, but when it crosses a vertical and horizontal
at the same time it has just passes through one tile and not two. Answer will
therefore be: (number of vertical lines crossed) + (number of horizontal lines
crossed) – (the number of times the horizontal and vertical are crossed at the
same time). The last bracket is the highest common factor of the numbers of
horizontal and vertical grout lines.
The answer for this case is (81+ 63
 9) = 135
For a 472 x 296 floor, the answer is
(472 + 296  8) = 760

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