Chhattisgarh Board Solutions for Chapter: Factors and Multiples, Exercise 13: EXERCISE 6.2

On a field of $55 \mathrm{m}$ long and $22 \mathrm{m}$ wide square-shaped mattresses have to be spread out. Find out the minimum number of same size mattresses, that would be needed to cover the field.

If six bells start ringing together and if they ring at intervals of $1, 2, 4, 6, 8, 10, 12$ seconds in a sequence, then how many times would they ring together in $30$ minutes?

A trader goes to Raipur every fourth day while another trader goes to Raipur every tenth day. If both the traders are going to Raipur together on $3^{rd}$ January, what will be the next date on which they would go to Raipur together?

If two numbers $24$ and $36$ have the HCF $12$, find out their LCM.

The HCF of two numbers is $13$ and their LCM is $1989$. If one of the numbers is $117$, find out the other number.

Shashank saves $4.65$ rupees every day. In at least how many days, will he be able to save the complete amount of rupee value?

Can two numbers have a HCF of $14$ and LCM of $204$? Give reason for your answer.

On a particular day buses from Ratanpur to Raipur run at intervals of every $40$ minutes and buses from Raipur to Ratanpur run every $45$ minutes. If buses from two opposite directions cross each other on a bridge at $10:15$ a.m, then at what time at the earliest next buses from opposite directions will cross each other at the bridge.