M. Tyra Solutions for Chapter: HCF and LCM, Exercise 1: Exercises

Find the least number from which $12, 18, 32$ or $40$may be subtracted, each an exact number of times.

Find the least number that, being increased by $8$, is divisible by $32, 36$ and $40$.

The sum of two numbers is $528$, and their HCF is $33$. How many pairs of such numbers can be formed?

In a school, $391$boys and $323$girls have been divided into the largest possible equal classes, so that each class of boys numbers the same as each class of girls. What is the number of classes ?

Is it possible to divide $1000$into two parts such that their HCF may be $15$?

Show that $2205$and $4862$are prime to each other.

WTiat least number must be subtracted from $1294$so that the remainder, when divided by $9, 11, 13$ will leave in each case the same remainder 6?

Three friends J, K and L jog around a circular stadium and complete one round in $12, 18$ and $20$seconds respectively. In how many minutes will all the three meet again at the starting point?