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

$A$ heap of stones can be made up into groups of $21$. When made up into groups of $16, 20, 25$ and $45$,there are $3$ stones left in each case. How many stones at least can there be in the heap?

Five bells begin to toll together and toll at intervals of $36, 45, 72, 81$ and $108$ seconds. After what interval of time will they keep on tolling together? (in $seconds$)

What is the least number which,when divided by $5, 6, 7, 8$ gives the remainder $3$ but is divisible by $9$?

Find the two largest numbers of four digits having $531$ as their $H.C.F$.

$A$ number, when divided successively by $4, 5$ and $6$, leaves remainders $2, 3$ and $4$ respectively. The least such number is

Vedclass Test Series

Exam Paper Generator

Online Exam Module