GATE Overflow Test Series | Spatial and Analytical Aptitude | Test 1 | Question: 12

Question

The least number of square bricks required (no partial bricks allowed) to make a floor of $300\:\text{cm}$ long and $250\:\text{cm}$ broad is __________

Answer 1

Length of floor $ = 300\:\text{cm}$, Breadth of floor $ = 250\:\text{cm}.$
 
The HCF of $300\:\text{cm}$ and $250\:\text{cm}$ will be the side of square bricks. HCF of $300$ and $250 = 50\;\text{cm}.$

Area of floor $ = 300 \times 250 = 75000\:\text{cm}^{2}$

Area of one square brick $ = 50 \times 50 = 2500\:\text{cm}^{2}$

Therefore, the number of square bricks required $ = \dfrac{75000}{2500} = 30.$

So, the correct answer is $30.$

Comments

But sir won’t it work if we take 1 square bricks of size 250 x 250 and 5 of size 50 x 50, as nowhere it is mentioned to be of similar size.

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All bricks being of the same size is implied.