A room is $$12\frac{1}{4}$$ m long and 7 m wide. The maximum length of a square tile to fill the floor of the room with whole number of tiles should be :

A. 125 cm

B. 150 cm

C. 175 m

D. 200 cm

Answer: Option C

Solution(By Examveda Team)

Length of largest tile :
= H.C.F. of $$12\frac{1}{4}$$ m and 7 m
= H.C.F. of 12.25 m and 7 m
= H.C.F. of 1225 cm and 700 cm = 175 cm