A room is 12 1/4 m long and 7 m wide. The maximum length of a square tile to fill the floor of the room with… · ABC26GN4388
Subject: General Aptitude · Chapter: Area · Exam: R.R.B. 2008
A room is $12 \frac{1}{4} \mathrm{m}$ 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 cm
(d)200 cm
Answer
Answer (as printed): C
Explanation
Length of largest tile = H.C.F. of $12 \frac{1}{4} \mathrm{m}$ and $7 \mathrm{m}=$ H.C.F. of 12.25 m and 7 m = H.C.F. of 1225 cm and $700 \mathrm{cm}=175 \mathrm{cm}$.