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?
814
820
840
844
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 6 of 6.

Abc said:   1 decade ago
I am unable to find the LCM I tried it a lot can you give me a guess how did it come?

Sheetal said:   1 decade ago
I couldn't understand why HCF is taken?

Suresh said:   10 years 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.

Isha said:   10 years ago
Hey where did we get 1517 and 902 from?

Bhavna said:   10 years ago
We are converting metres to centimetres.

Narayanan said:   9 years ago
The least number is asked that means a single tile with the maximum dimension.

For this try LCM , you will get the maximum number of tiles with minimum dimensions whereas, in HCF, you will get the largest dimension possible. So that only HCF is used to find the answer.


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