The least number of square tiles required to | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) First,convert the dimensions of the room into centimeters:Length $= 15\, m\, 17\, cm = 1517\, cm$Breadth $= 9\, m\, 2\, cm = 902\, cm$To find the

Vedclass · Accepted Answer

$814$

Vedclass · Answer

(C) First,convert the dimensions of the room into centimeters:Length $= 15\, m\, 17\, cm = 1517\, cm$Breadth $= 9\, m\, 2\, cm = 902\, cm$To find the least number of square tiles,the side of each square tile must be the $H.C.F.$ of the length and breadth of the room.$H.C.F.$ of $1517$ and $902$:$1517 = 41 	imes 37$$902 = 41 	imes 22$Thus,$H.C.F. = 41\, cm$.The side of each square tile is $41\, cm$.The number of tiles required $= \frac{	ext{Area of the ceiling}}{	ext{Area of one tile}} = \frac{1517 	imes 902}{41 	imes 41} = 37 	imes 22 = 814$.

The least number of square tiles required to cover the ceiling of a room $15\, m\, 17\, cm$ long and $9\, m\, 2\, cm$ broad is:

Similar Questions

Find the least number of five digits which when divided by $63, 56$ and $42$ leaves remainder $1$ in each case.

Three numbers are in the ratio $3: 4: 5$ and their $LCM$ is $2400$. Their $HCF$ is

Three numbers which are co-prime to each other are such that the product of the first two is $551$ and that of the last two is $1073$. The sum of the three numbers is:

The $H.C.F.$ and $L.C.M.$ of two numbers are $44$ and $264,$ respectively. If the first number is divided by $2,$ the quotient is $44.$ The other number is

Find the greatest number of five digits which becomes exactly divisible by $10, 12, 15$ and $18$ when $3769$ is added to it.

Vedclass Test Series

Exam Paper Generator

Online Exam Module