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:
57 comments Page 2 of 6.
Rohit said:
9 years ago
HCF is taken because we want the least no.of tiles in this question. If we want least no of tiles then we have to maximise the dimensions of tiles.
So HCF (Higher Common Factor) is used to maximise the dimensions of tiles.
So HCF (Higher Common Factor) is used to maximise the dimensions of tiles.
Shashi said:
1 decade ago
To calculate least no.of square we need largest tiles so that it can cover it in less no of tiles so we need a highest number out of (1517 & 902) which can divide the area entirely and it can only be obtained by HCF.
SUKUMAR SATYEN said:
1 decade ago
For same type of Questions, we can also use different formula:
Number of Squares inside Rectangle:
= Square of (LCM of Length and Width of Rectangle)/(Area of Rectangle).
= (33374*33374)/(1517*902) = 814.
Number of Squares inside Rectangle:
= Square of (LCM of Length and Width of Rectangle)/(Area of Rectangle).
= (33374*33374)/(1517*902) = 814.
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)
Faraz said:
1 decade ago
Here they are telling least number of square tiles not least area of square tile, so we need big tile thats why hcf otherwise we take lcm. I hope you understand least number of tile.
Suresh said:
1 decade ago
Friends HCF have taken because we need square tiles, so we need to divide length and breadth of floor in equal parts, that's why we are taking HCF.
Koushik kallamadi said:
1 decade ago
Hi friends,
We can also use the dimensions (9.02*9.02) + (6.15*6.15) +2(2.87*2.87) +7(0.41*0.41) and totally 11 square tiles of different lengths.
We can also use the dimensions (9.02*9.02) + (6.15*6.15) +2(2.87*2.87) +7(0.41*0.41) and totally 11 square tiles of different lengths.
Sumi said:
1 decade ago
@Shashi. Well said.
To calculate least no.of square we need largest tiles. That means we need to have highest common factor for 1517 & 902.
To calculate least no.of square we need largest tiles. That means we need to have highest common factor for 1517 & 902.
Pradeep said:
1 decade ago
The highest no that can divide both length and breadth so that the tiles used can occupy all the available space exactly.
Abhi said:
10 years ago
Please tell me how many tiles will be used in that room whose length or breath is 20 m and 16 cm or 15 m 60 cm.
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