The ratio of the numbers of boys and girls of a school with $504$ students is $13: 11$. What will be the new ratio if $12$ more girls are admitted?

If $a: b: c = 3: 4: 7,$ then the ratio $(a+b+c): c$ is equal to

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

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

If $50$ fewer candidates had applied and $25$ fewer had been selected,the ratio of selected to unselected candidates would have been $9:4$. How many candidates had applied if the initial ratio of selected to unselected candidates was $2:1$?

Marks of $X$ and $Y$ are in the ratio $3: 11$ respectively. If the marks of $X$ are $9$,then find the marks of $Y$.