Problem:
Tiles and are translated so one tile coincides with each of the rectangles and . In the final arrangement, the two numbers on any side common to two adjacent tiles must be the same. Which of the tiles is translated to Rectangle
Answer Choices:
A.
B.
C.
D.
E. cannot be determined
Solution:
Because Tile has a on the bottom edge and there is no on any other tile, Tile must be placed on or . Because Tile has a on the right edge and there is no on any other tile, Tile must be placed on the right, on . Because Tile has a on the left edge and only Tile has a on the right edge, Tile must be placed to the left of Tile , that is, on .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions