EMNA Q.39

39A tiled floor of a room has dimensions m * m sq.m. Dimensions of the tile used are n * n sq.m. All tiles used are green tiles except diagonal tiles which are red. After some years some green tiles are replaced by red tiles to form an alternate red and green tile pattern. How many green tiles are removed?
(m ≠ n and total number of tiles are odd).

A
B
C
D

Option : B
Explanation : Total red tiles initially
Total number of tiles
As number of red tiles > number of green tiles
(since room has odd number of tiles and corner tiles are red)
Hence total red tiles required to form an alternate pattern
∴ Number of green tiles removed

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