An antique dealer bought a coffee table that was then sold for a profit. What was the selling price of the coffee table?

(1) The dealer's cost for the coffee table was $340.
(2) The dealer's gross profit on the coffee table was 15% of the selling price.

If a, b, and c are integers, what is the value of a ?

(1) (a - 7)(b - 7)(c - 7) = 0
(2) bc = 18

Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no member speaks all three languages, how many of the members speak two of the three languages?

(1) 60 of the members speak only English.
(2) 20 of the members do not speak any of the three languages.

If k is an integer greater than 1, is k equal to ~$2^{r}$~ for some positive integer r ?

(1) k is divisible by  ~$2^{6}$~.
(2) k is not divisible by any odd integer greater than 1.

If m is a positive odd integer between 2 and 30, then m is divisible by how many different positive prime numbers?

(1) m is not divisible by 3.
(2) m is not divisible by 5.

If m and r are two numbers on a number line, what is the value of r ?

(1) The distance between r and 0 is 3 times the distance between m and 0 .
(2) 12 is halfway between m and r.

Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out ~$\frac{2}{3}$~ of the chocolate bars and ~$\frac{3}{5}$~ of the toffee bars. How many packages of chocolate bars did Rasheed buy?

(1) Rasheed bought 1 fewer package of chocolate bars than toffee bars.
(2) Rasheed handed out the same number of each kind of candy bar.

What is the value of v³ - k³ ?

(1) vk > 0
(2) v - k = 6

Working independently at their respective constant rates, pumps X and Y took 48 minutes to fill an empty tank with water. What fraction of the water in the full tank came from pump X ?

(1) Working alone at its constant rate, pump X would have taken 80 minutes to fill the tank with water.
(2) Working alone at its constant rate, pump Y would have taken 120 minutes to fill the tank with water.

If x and y are positive integers, is x an even integer?

(1) x (y + 5) is an even integer.
(2) 6y²+ 41y + 25 is an even integer.