The average value of the numbers $15,21,32,35,$ $46$ $, x, 59,65,72$ should be greater than or equal to $43$ but less than or equal to $44 .$ Then the value of $x$ should be

Visitors to a show were charged $Rs.\,15.00$ each on the first day, $Rs.\, 7.50$ on the second and $Rs.\, 2.50$ on the third day. Visitors total attendance for three days were in the ratio $2: 5: 13$ . Find out the average charge per visitor for the entre show. (in $Rs.$)

The average of five consecutive odd integers is $27 .$ What is the product of the first and the last number?

The average age of $24$ boys and their teacher is $15 \,years.$ When the teacher's age is excluded, the average age decreases by $1\, year.$ The age of the teacher is in $years$ ?

A cricketer, whose bowing average was $12.4$ runs/wicket takes $5$ wickets for $22$ runs in a match, thereby decreases his average by $0.4$ The number of wickets, taken by him before this match was

If the mean of $a, b, c$ is $M$ and $a b+b c+c a=0,$ then the mean of $a^{2}, b^{2}, c^{2}$ is