Find the least number of square tiles require | vedclass

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

Question

(A) To find the least number of square tiles,we must first determine the maximum size of a square tile that can perfectly fit the dimensions of the ha

Vedclass · Accepted Answer

$78$

Vedclass · Answer

(A) To find the least number of square tiles,we must first determine the maximum size of a square tile that can perfectly fit the dimensions of the hall.The maximum side length of the square tile is the $HCF$ of the length and breadth of the hall.Length $= 17 \, m \, 55 \, cm = 1755 \, cm$.Breadth $= 8 \, m \, 10 \, cm = 810 \, cm$.Now,find the $HCF$ of $1755$ and $810$:$1755 = 135 	imes 13$$810 = 135 	imes 6$So,$HCF = 135 \, cm$.The number of tiles required $= \frac{	ext{Area of the hall}}{	ext{Area of one tile}} = \frac{1755 	imes 810}{135 	imes 135}$.$= \frac{1755}{135} 	imes \frac{810}{135} = 13 	imes 6 = 78$.

Find the least number of square tiles required to pave the ceiling of a hall $17 \, m \, 55 \, cm$ long and $8 \, m \, 10 \, cm$ broad.

Similar Questions

Two numbers are in the ratio $3:4$. Their $L.C.M.$ is $84$. The greater number is

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

Two pipes of length $1.5\, m$ and $1.2\, m$ are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be (in $metre$)

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

The product of two numbers is $6760$ and their $H.C.F.$ is $13.$ How many such pairs can be formed?

Vedclass Test Series

Exam Paper Generator

Online Exam Module