If ax + b = 0, is x > 0 ?

(1) a + b > 0
(2) a - b > 0

What is the value of xy ?

(1) y = x + 1
(2) y = x² + 1

What is the value of xy ?

(1) y = x + 1
(2) y = x² + 1

Are positive integers p and q both greater than n ?

(1) p - q is greater than n .
(2) q > p

If a > 0, b > 0, and c > 0, is a(b - c) = 0 ?

(1) ~$b-c=c-b$~

(2) ~$\frac{b}{c}=\frac{c}{b}$~

Is positive integer n divisible by 3 ?

(1) ~$\frac{n^{2}}{36}$~ is an integer.
(2) ~$\frac{144}{n^{2}}$~ is an integer.

If a wire 27 meters long is cut into three pieces of three different lengths, what is the length of the longest piece?

(1) The length of the longest piece is twice the length of the shortest piece.
(2) The sum of the lengths of the two shorter pieces is 15 meters.

If n is an integer, is ~$\frac{n}{7}$~ an integer?

(1) ~$\frac{3n}{7}$~ is an integer.
(2) ~$\frac{5n}{7}$~ is an integer.

Is the positive integer n odd?

(1) n = 2k + 1, where k is a positive integer.
(2) 2n + 1 is an odd integer.

A certain movie depicted product A in 21 scenes, product B in 7 scenes, product C in 4 scenes, and product D in 3 scenes. The four product manufacturers paid amounts proportional to the number of scenes in which their product was depicted in the movie. If each manufacturer paid x dollars per scene, how much did the manufacturer of product D pay for this advertising?

(1) The manufacturers of products A and B together paid a total of $560,000 for this advertising.
(2) The manufacturer of product B paid $60,000 more for this advertising than the manufacturer of product C paid.