Question : A room 16 m 5 cm long and 15 m broad is to be fitted with equal square tiles. How many numbers of the largest possible tiles are required so that they exactly fit?
Option 1: 10400
Option 2: 10700
Option 3: 10800
Option 4: 9800
Correct Answer: 10700
Solution :
Length of room = 16m 5 cm = 1605 cm
Width = 1500 cm
1605 = 3 × 5 × 107
1500 = 2 × 2 × 3 × 5 × 5 × 5
The largest side of the square tile = HCF of (1605,1500) = 15 cm
Number of tiles = $\frac{1605×1500}{15×15}$ = 10700
Hence the correct answer is 10700.
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