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 3 of 6.
Anuj Chhetri said:
9 years ago
We need that size of square which must occupy the entire space. If we take side of some other square, then 100% some space gona left as we can't bread the last tile. If we take the hcf, then we can get the side of square which is divisible by length and breadth both exactly.
Naqi Zaidi said:
9 years ago
HCF of any two or more numbers tells the highest possible no that can divide all the numbers. Since the question asks the minimum no of tiles, so it means you need a maximum possible size of the tile. Which will ensure minimum no of tiles?
If the question says that maximum tiles then you will calculate LCM.
If the question says that maximum tiles then you will calculate LCM.
Soniya said:
9 years ago
Why hcf is taken? Please explain.
Anc said:
9 years ago
Where does the 1517comes from?
Arpan jadhao said:
9 years ago
How 1517 comes from?
I didn't understand it. Please explain me.
I didn't understand it. Please explain me.
Richa said:
9 years ago
Thanks @Ibrahimsha.
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.
Tina said:
9 years ago
I am not getting the solution properly. Please, could anyone explain me?
Roop said:
9 years ago
Hcf is calculated because for least tiles we need area of the square be maximum.
Bhavishya said:
9 years ago
Thank you so much for the explanation.
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