S K Gupta and Anubhuti Gangal Solutions for Exercise 6: Exercise

The least $5-$ digit number which is exactly divisible by $16, 24, 36$ and $54$ is

Find the greatest $5$-digit number which when divided by $3, 5, 8$ and $12$ will have $2$ as remainder

The H.C.F of two numbers is $11$ and their L.C.M is $7700$. If one of the numbers is $275$, then the other is 

The L.C.M and H.C.F of two numbers are $4125$ and $25$ respectively. One number is $375$. Find by how much is the second number less than the first?

I am the fifth multiple of the L.C.M of $2$ and $7$. What number am I?

The L.C.M of two numbers is $24$. Their sum is $14$. What are the numbers?

I am the square of the number that is $68$ less than the product of the L.C.M of $2$ and $3$ and the L.C.M of $3$ and $4$. What number am I?

What is the least number which when decreased by $4$ is divisible by each of the numbers $10, 15, 20$ and $25$ $?$