Three numbers are in the ratio of $3:2:5$ and the sum of their squares is $1862$. The smallest of these numbers is:

The fourth proportional to $0.2, 0.12$ and $0.3$ is

$A$ sum of money is divided among $C, A$ and $B$ in the ratio of $4:5:6$ and another sum of money is divided between $M$ and $N$ equally. If $B$ got $2000$ more than $M$,then how much does $C$ get (in $Rs.$)?

If $x: y = 2: 1,$ then $(x^{2} - y^{2}) : (x^{2} + y^{2})$ is

If $A: B = 3: 4$ and $B: C = 8: 9$,then find the value of $A: B: C$.

$A$ mixture of milk and water is kept in two separate containers. The ratio of milk to water in one container is $5:1$ and in the other container is $7:2$. In what ratio should the mixtures from these two containers be mixed so that the quantity of milk in the new mixture becomes $80\%$?