The $HCF$ of two numbers is $11$ and their $LCM$ is $7700.$ If one of the numbers is $275,$ then the other is:

Find the greatest number of five digits which becomes exactly divisible by $10, 12, 15$ and $18$ when $3769$ is added to it.

Three different containers contain different quantities of a mixture of milk and water,measuring $403 \ kg$,$434 \ kg$,and $465 \ kg$. What is the largest measure that can measure all these quantities exactly? (in $kg$)

The $H.C.F.$ of two numbers is $12$ and their difference is $12$. The numbers are:

The greatest number that divides $411, 684,$ and $821$ and leaves $3, 4,$ and $5$ as remainders,respectively,is

How many numbers are there from $300$ to $700$ which are divisible by $2, 3,$ and $7$?