What is the total value of Company H’s stock?

(1) Investor P owns ~$\frac{1}{4}$~ of the shares of Company H’s total stock.
(2) The total value of Investor Q’s shares of Company H’s stock is $16,000.

Each of the 45 boxes on shelf J weighs less than each of the 44 boxes on shelf K.  What is the median weight of the 89 boxes on these shelves?

(1) The heaviest box on shelf J weighs 15 pounds.
(2) The lightest box on shelf K weighs 20 pounds.

What is the median number of employees assigned per project for the projects at Company Z?

(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.

Is the sum of ~$p^{2}$~ and ~$q^{2}$~ greater than 1?

(1) ~$p$~ is greater than ~$\frac{1}{2}$~.
(2) ~$q$~ is greater than ~$\frac{1}{2}$~.

What is the remainder when the two digit, positive integer x is divided by 3?

(1) The sum of the digits of x is 5.
(2) The remainder when x is divided by 9 is 5.

A construction company was paid a total of $500,000 for a construction project.  The company’s only costs for the project were for labor and materials.  Was the company’s profit for the project greater than $150,000?

(1) The company’s total cost was three times its cost for materials.
(2) The company’s profit was greater than its cost for labor.

If ~$xy≠0$~, is ~$\frac{x}{y}= 1$~?

(1) ~$x^{2}=y^{2}$~

(2) ~$xy>0$~

A collection of 36 cards consists of 4 sets of 9 cards each.  The 9 cards in each set are numbered 1 through 9.  If one card has been removed from the collection, what is the number on that card?

(1) The units digit of the sum of the numbers on the remaining 35 cards is 6.
(2) The sum of the numbers on the remaining 35 cards is 176.

If a and b are positive, is~$(a^{-1}+b^{-1})^{-1}$~ less than ~$(a^{-1}b^{-1})^{-1}?$~

(1) ~$a = 2b$~

(2) ~$a + b > 1$~

An integer greater than 1 that is not prime is called composite.  If the two-digit integer n is greater than 20, is n composite?

(1) The tens digit of n is a factor of the units digit of n.
(2) The tens digit of n is 2.