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.
Idk said:
1 decade ago
Can anyone explain the logic why HCF is used ?
Divya said:
1 decade ago
Why HCF is used?
Shanthi said:
1 decade ago
Length and breath are given.
So area of rectangle is lxb.
Also they are askin to find the least no. of square tiles.
For square tiles we need the area.
In a square al the sides are equal.
Hcf is the highest common factor of 1517 and 902.
So 41 is the hcf n area of square is 41^2.
So divide area of rect by area of square.
So area of rectangle is lxb.
Also they are askin to find the least no. of square tiles.
For square tiles we need the area.
In a square al the sides are equal.
Hcf is the highest common factor of 1517 and 902.
So 41 is the hcf n area of square is 41^2.
So divide area of rect by area of square.
Vivek jain said:
1 decade ago
Hi divya!
I am also not getting why hcf is used.
If you have got the answer then reply me please.
I am also not getting why hcf is used.
If you have got the answer then reply me please.
Shashank said:
1 decade ago
Since hcf is a prime no. , how we can find the hcf of such big numbers.
For those who want to know why hcf::.
As we have to set square tiles in a rect. Floor that's why we need a comman factor for both length and breadth so that the no. Of tiles is a natural number but not a fraction!
For those who want to know why hcf::.
As we have to set square tiles in a rect. Floor that's why we need a comman factor for both length and breadth so that the no. Of tiles is a natural number but not a fraction!
Vinod mishra said:
1 decade ago
Hi I m not getting the hcf of 1517 and 902 is 41.
How it has calculated ?
How it has calculated ?
Ibrahimsha said:
1 decade ago
902)1517(1
902
------
615)902(1
615
---
287)615(2
574
---
41)287(7
287
---
0
By this method of successful division, remainder goes 0. Last divisor forms your req. HCF....
So 41 is ur HCF :-)
902
------
615)902(1
615
---
287)615(2
574
---
41)287(7
287
---
0
By this method of successful division, remainder goes 0. Last divisor forms your req. HCF....
So 41 is ur HCF :-)
(3)
Sara said:
1 decade ago
Why we require hcf here?
Balajisingh said:
1 decade ago
Imbrhimsha now I'm clear with HCF thank you.
Vani varma said:
1 decade ago
Thank you shanthi, shasank and Ibrahimsha.
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