The median age of company A is 24, so the 16th employee (since there are 32 employees, we take the median at position 16th and 17th) has an age of 24.
The highest possible age of an employee in company A will be the age of the 16th employee, which is 24.
Step 2: Apply the age conditions.Since the age of every employee in company A is strictly less than the age of every employee in company B, the highest possible age of any employee in company A must be strictly less than the lowest possible age in company B.
The median age of company B is 30, and so the highest possible age for company A is 29.
Step 3: Conclude the solution.Thus, the highest possible age of an employee in company A is:
The number of factors of 1800 that are multiple of 6 is …………. .
The number of real solutions of the equation \((x^2 - 15x + 55)^{x^2 - 5x + 6} = 1\) is __________.
Let \( ABC \) be a triangle right-angled at \( B \) with \( AB = BC = 18 \). The area of the largest rectangle that can be inscribed in this triangle and has \( B \) as one of the vertices is _____________.
A fruit seller has oranges, apples, and bananas in the ratio 3:6:7. If the number of oranges is a multiple of both 5 and 6, then the minimum number of fruits the seller has is ______________.
The number of pairs \( (x, y) \) of integers satisfying the inequality \( |x - 5| + |y - 5| \leq 6 \) is ____________.
The following table shows the number of employees and their median age in eight companies located in a district. \[ \begin{array}{|l|l|l|} \hline \textbf{Company} & \textbf{Number of Employees} & \textbf{Median Age} \\ \hline A & 32 & 24 \\ B & 28 & 30 \\ C & 43 & 39 \\ D & 39 & 45 \\ E & 35 & 49 \\ F & 29 & 54 \\ G & 23 & 59 \\ H & 16 & 63 \\ \hline \end{array} \] It is known that the age of all employees are integers. It is also 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, and the age of every employee in G is strictly less than the age of every employee in H. The median age of an employee across the eight companies is …………..
The following table shows the number of employees and their median age in eight companies located in a district. \[ \begin{array}{|l|l|l|} \hline \textbf{Company} & \textbf{Number of Employees} & \textbf{Median Age} \\ \hline A & 32 & 24 \\ B & 28 & 30 \\ C & 43 & 39 \\ D & 39 & 45 \\ E & 35 & 49 \\ F & 29 & 54 \\ G & 23 & 59 \\ H & 16 & 63 \\ \hline \end{array} \] It is known that the age of all employees are integers. It is also 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, and 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 ………….
The number of factors of 1800 that are multiple of 6 is …………. .
The number of real solutions of the equation \((x^2 - 15x + 55)^{x^2 - 5x + 6} = 1\) is __________.
In a group of 150 students, 52 like tea, 48 like juice, and 62 like coffee. If each student in the group likes at least one among tea, juice, and coffee, then the maximum number of students that like more than one drink is _______________.
Let \( ABC \) be a triangle right-angled at \( B \) with \( AB = BC = 18 \). The area of the largest rectangle that can be inscribed in this triangle and has \( B \) as one of the vertices is _____________.
A fruit seller has oranges, apples, and bananas in the ratio 3:6:7. If the number of oranges is a multiple of both 5 and 6, then the minimum number of fruits the seller has is ______________.