Jharne De and Ranjana Kumar Solutions for Chapter: HCF and LCM, Exercise 3: Revision Exercise

The $\mathrm{H}\mathrm{C}\mathrm{F}$ and $\mathrm{L}\mathrm{C}\mathrm{M}$ of two numbers are $11$ and $693$, respectively. If one number is $77$, find the other number.

Find the least number of flowers so that bunches of $12,15$ or $20$ flowers can be made.

A room measures $450 \mathrm{c}\mathrm{m}$ by $350 \mathrm{c}\mathrm{m}$. Find the size of the largest square tile that can be used to tile the floor without cutting any tile.

The length, breadth, and height of a room are $783 \mathrm{c}\mathrm{m}$, $513 \mathrm{c}\mathrm{m}$, and $405 \mathrm{c}\mathrm{m}$, respectively. If the length of the longest tape which can measure the dimensions of the room exactly is $k \mathrm{cm}$, find $k$.

Rajat purchased oranges to distribute among his friends. If he gave $15,20$ or $25$ oranges to each of his friends, he would be left with no oranges. What is the least number of oranges he purchased?

Two buckets can hold $250$ litres and $175$ litres of water, respectively. If the capacity of the largest bucket that can be filled an exact number of times using each bucket is $k$ litres, find $k$.

Rohan, Amit, and Kapil walk around a circular path. Their steps measure $24 \mathrm{c}\mathrm{m}$, $30 \mathrm{c}\mathrm{m}$ and $36 \mathrm{c}\mathrm{m}$, respectively. If the distance they will cover from the starting point so that they meet again is $k \mathrm{cm}$, find $k$.

The students of two sections of Class $\mathrm{V}\mathrm{I}$ have to stand in rows. Each row has an equal number of students. If there are $24$ and $36$ students in the two sections, find the maximum number of students in each row.