The average of three consecutive odd numbers is $52$ more than $\frac{1}{3}$$^{rd}$ of the largest of these numbers. What is the smallest of these numbers ?

The average weight of all the $11$ players of Indian cricket team is $50\, kg.$ If the average of first six lightest weight players is $49\, kg$ and that of the six heaviest players is $52\, kg$. The average weight of the player which lies in the sixth position in the list of players when all the $11$ $players$ are arranged in the order of $increasing$ or $decreasing$ $weights$ (in $kg$)

A library has an average of $510$ $visitors$ on Sundays and $240$ on other days. The average number of visitors per day in a month of $30 \,days$ beginning with a Sunday is 

The sum of five numbers is $260 .$ The average of the first two numbers is $30$ and the average of the last two numbers is $70 .$ What is the third number ?

The average monthly expenditure of a family for the first four months is $Rs.\,2750$ for the next three months is $Rs.\,2940$ and for the last five months is $Rs.\,3130.$ If the family saves $Rs.\,5330$ throughout year, find the average monthly income of the family for that year. (in $Rs.$)