Aptitude - Area - Discussion
Discussion Forum : Area - General Questions (Q.No. 10)
10.
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Answer: Option
Explanation:
Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) cm2.
 Required number of tiles = |
 |
1517 x 902 |  |
= 814. |
| 41 x 41 |
Discussion:
56 comments Page 1 of 6.
Sudarshan jain said:
6 years ago
Thanks all.
Raghuvansh said:
6 years ago
Thanks for your explanation of HCF @Ibrahimsha.
(1)
Shekarreddy said:
7 years ago
Why we use HCF here?
(1)
Richy said:
7 years ago
@All.
If we want to get the least number of tiles, the largest tiles must be used. This is why hcf is used. If you want to get the most number of tiles, then, the smallest tiles will be used, which is lcm.
If we want to get the least number of tiles, the largest tiles must be used. This is why hcf is used. If you want to get the most number of tiles, then, the smallest tiles will be used, which is lcm.
(8)
Harish said:
7 years ago
Here 41 * 37=1517 and 41 * 22=902.
So, 41 comes in both the no. (which is called hcf).
Now the area of the floor is 1512 * 902.
So least no. of tiles to cover the floor = n * 41^2 (as square tile can be taken of length 41).
Therefore n =37*22 =814.
So, 41 comes in both the no. (which is called hcf).
Now the area of the floor is 1512 * 902.
So least no. of tiles to cover the floor = n * 41^2 (as square tile can be taken of length 41).
Therefore n =37*22 =814.
(2)
Sakshi said:
8 years ago
Thank you @Srivalli.
Srivalli said:
8 years ago
1m=100 Cms, so convert 15meters *100=1500+17cms=1571,
Like wise 9meters*100=900+2cms=902cms.
Like wise 9meters*100=900+2cms=902cms.
(4)
Bhavishya said:
8 years ago
Thank you so much for the explanation.
Roop said:
8 years ago
Hcf is calculated because for least tiles we need area of the square be maximum.
Siddharth said:
8 years ago
@Tina.
The dimensions of the room is 1517cm X 902cm.
Square tiles of the same side are only to be used. So dimensions of the square tiles should not be in integral metres. Since no. of square tiles to be paved are whole numbers, 1517 and 902 should be divisible by a number which gives the number of square tiles to be paved along length and breadth.
Thus hcf is used.
Area of room / Area of 1 tile = No. of tiles.
= ( 1517 X 902 ) / ( 41 X 41 ) = 37 X 22 = 814 tiles.
The dimensions of the room is 1517cm X 902cm.
Square tiles of the same side are only to be used. So dimensions of the square tiles should not be in integral metres. Since no. of square tiles to be paved are whole numbers, 1517 and 902 should be divisible by a number which gives the number of square tiles to be paved along length and breadth.
Thus hcf is used.
Area of room / Area of 1 tile = No. of tiles.
= ( 1517 X 902 ) / ( 41 X 41 ) = 37 X 22 = 814 tiles.
(4)
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