The $H.C.F.$ and $L.C.M.$ of two numbers are $8$ and $48,$ respectively. If one of the numbers is $24,$ then the other number is

The product of two $2$-digit numbers is $2160$ and their $H.C.F.$ is $12$. The numbers are:

What is the smallest number by which $625$ must be divided so that the quotient is a perfect cube?

Seema,Meena,and Reena start jogging around a circular stadium and complete one round in $54 \text{ seconds}$,$42 \text{ seconds}$,and $63 \text{ seconds}$ respectively. Approximately after how many minutes will they meet again at the starting point?

The smallest number which when diminished by $7,$ is divisible by $12, 16, 18, 21$ and $28$ is

What is the smallest number which when increased by $3$ is divisible by $16, 24, 30$ and $32$?