In a cricket team of $11$ boys, one player weighing $42 \,kg$ is injured and replaced by another player. If the average weight of the team is increased by $100\, gm$ as a result of this, then what is the weight of the new player? (in $kg$)

The average age of $30$ women decreases by $3$ $months$ if a new person Neha is included in place of a $25\, year$ old woman. Calculate the age of Neha in $year$ ?

With an average speed of $40\, km / h ,$ a train reaches its destination on time. If it goes with an average speed of $35 \,Km / h ,$ it reaches late by $15$ minutes. The total journey is (in $km$)

The batting average of a cricket player for $64$ innings is $62$ runs. His highest score exceeds his lowest score by $180$ runs. Excluding these two innings, the average of remaining innings becomes $60$ runs. His highest score was (in $Runs$)

Five years ago, the average age of $P$ and $Q$ was $15 \,year.$ Now, average age of $P , Q$ and $R$ is $20 \,year.$ What whould be the age of $R$ after $10$ $year$ in $year$ ?

What is the age of a class teacher?

$I.$ There are $11$ students in the class.

$II.$ The average age of the students and the teacher is $14$ years.

$III.$ The average age of the teacher and the students is $3$ years more than that of the students.