A mason has to fit a bathroom with square marble tiles filled of the largest possible size. The size of bathroom is feet. The size of the tiles in inches that has to be cut and how many such tiles are required ____ tiles.

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Detailed Solution

Concept- 24 tiles are required.
We will start by converting the given data to inches in order to answer this question. Following that, we shall measure the H.C.F. to obtain the tile dimensions. Then, using the appropriate formula, we will determine the quantity of tiles needed for it.
Size of bathroom

. by

.
As we know that,

inches
Therefore,
Size of the bathroom

inch by

inch

inch by 96 inch
The largest size of tile required

of 120 and 96
By applying Euclid's division lemma

Largest size of tile required

inches by 24 inches
Now,
No. of tiles required

No. of tiles required

tiles
Thus the no. of tiles required is 24 .
Hence, the correct answer is 24 tiles.

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