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

Three pieces of timber $42 \ m$,$49 \ m$,and $63 \ m$ long have to be divided into planks of the same length. What is the greatest possible length of each plank (in $m$)?

The least number, which when divided by $48, 60, 72, 108$ and $140$ leaves $38, 50, 62, 98$ and $130$ as remainders respectively is

Find the smallest number of five digits exactly divisible by $12, 16, 18$ and $27$.

The $LCM$ of two prime numbers $x$ and $y$ $(x > y)$ is $161$. Find the value of $(3y - x)$.

The traffic lights at three different road crossings change after $24$ seconds,$36$ seconds,and $54$ seconds,respectively. If they all change simultaneously at $10:15:00$ am,then at what time will they again change simultaneously?

Vedclass Test Series

Exam Paper Generator

Online Exam Module