In an annual function event, each group's overall points is calculated by$\frac{\mathrm{s}}{{\mathrm{n}}^2}+\mathrm{n}$, where s is the total sum of score they received in each event and n be the number of events. Group A and group B had total scores $32$and $36$. We need to calculate the number of events that A and B participated in

Statement 1: A and B had their overall points in ratio $6:7$

Statement 2: Any group cannot participate in more than $4$events

A box contains one rupee, fifty paisa and twenty five paisa coins. The total number of coins are $378$. The ratio of values of the above coins is $13:11:7$. The number of twenty five paise coins was:

In a mixture of $165$ litres, the ratio of liquids $X$ and $Y$ is $6:5$. If $5$ litres of liquid $Y$ is added in the mixture, then what is the ratio of $X$ and $Y$ in the new mixture ?

If we divide 184 kg in the ratio 2 : 3 : 3, the relevant measures in kg are:

(A) 26, 79 and 79 

(B) 6, 89 and 89 

(C) 46, 79 and 79 

(D) 46, 69 and 69