If ~$\frac{x+y}{z}=-2$~, is x positive?

(1) z is negative.
(2) y is positive.

In a certain year the United Nations' total expenditures were $1.6 billion. Of this amount, 67.8 percent was paid by the 6 highest-contributing countries, and the balance was paid by the remaining 153 countries. Was Country X among the 6 highest-contributing countries?

(1) 56 percent of the total expenditures was paid by the 4 highest-contributing countries, each of which paid more than Country X.
(2) Country X paid 4.8 percent of the total expenditures.

If m and n are positive integers and mn = k, is m + n = k + 1 ?

(1) m = 1
(2) k is a prime number.

A state legislature had a total of 96 members. The members who did not vote on a certain bill consisted of 25 who were absent and 3 who abstained. How many of those voting voted for the bill?

(1) Exactly ~$\frac{1}{3}$~ of the total membership of the legislature voted against the bill.
(2) The number of Legislators who voted for the bill was 8 more than the total number who were absent or abstained.

If x and y are integers and x > 0, is y > 0 ?

(1) 7x - 2y > 0
(2) -y < x

Marta bought several pencils. If each pencil was either a 23-cent pencil or a 21-cent pencil, how many 23-cent pencils did Marta buy?

(1) Marta bought a total of 6 pencils.
(2) The total value of the pencils Marta bought was 130 cents.

If ~$\frac{x}{2}=\frac{3}{y}$~ , is x less than y ?

(1) ~$y\geq 3$~
(2) ~$y\leq 4$~

Is 2x - 3y < x² ?

(1) 2x - 3y = -2
(2) x > 2 and y > 0.

Robin split a total of $24,000 between two investments, X and Y. If investment Y earns 7 percent simple annual interest, how much of the total did Robin put into investment Y ?

(1) Each investment earns the same dollar amount of interest annually.
(2) Investment X earns 5 percent simple annual interest.

If b is positive, is ab positive?

(1) a²b > 0
(2) a² + b = 13