Let 50 distinct positive integers be chosen such that the highest among them is 100, and the average of the largest 25 integers among them exceeds the average of the remaining integers by 50. Then the maximum possible value of the sum of all the 50 integers is _________.

The possible values of $x$ in the set $\{1, 5, 13\}$ for which the mean of eight observations $5, 8, 3x + 2, 15, 27, 29, 36, 5x - 2$ equals their median are

The following table shows the number of employees and their median age in eight companies located in a district.

It is known that the age of all employees are integers. It is known that the age of every employee in A is strictly less than the age of every employee in B, the age of every employee in B is strictly less than the age of every employee in C, ..., the age of every employee in G is strictly less than the age of every employee in H.

In company F, the lowest possible sum of the ages of all employees is:

Suppose $a, b$ and $c$ are three real numbers such that Max$(a, b, c) \ +$ Min$(a, b, c) = 15$, and Median$(a, b, c) \ -$ Mean$(a, b, c) = 2.$ Then the median of $a, b$ and $c$ is

The following table shows the number of employees and their median age in eight companies located in a district.

It is known that the age of all employees are integers. It is known that the age of every employee in A is strictly less than the age of every employee in B, the age of every employee in B is strictly less than the age of every employee in C, ..., the age of every employee in G is strictly less than the age of every employee in H.

The median age of employees across the eight companies is:

The average of five distinct integers is 110 and the smallest number among them is 100. The maximum possible value of the largest integer is

The average marks of $6$ students in a test is $64$. All the students got different marks, one of the students obtained $70$ marks and all other students scored $40$ or above. The maximum possible difference between the second highest and the second lowest marks is