R. D. Sharma Solutions for Chapter: Playing With Numbers, Exercise 14: CCE CHAPTER TEST

The least number exactly divisible by $36$ and $24$ is

Find the $\mathrm{HCF}$of all natural numbers from $200$ to $478$.

The $\mathrm{LCM}$of two numbers is $1024$ and one of them is a prime number. Find their $\mathrm{HCF}$.

The $\mathrm{HCF}$of two numbers is $4$ and their $\mathrm{LCM}$  is $400$. How many pairs of values can the numbers assume?

Find the greatest number that can divide $101$ and $115$ leaving remainders $5$ and $7$ respectively.

Find the least three digit number which when divided by $20, 30, 40$ and $50$ leaves remainder $10$ in each case.

Find the largest number that divides $59$ and $54$ leaving remainders $3$ and $5$ respectively

Find the least $5$-digit number which is exactly divisible by $20, 25$ and $30$.