Is xy > 0 ?

(1) x - y > -2(2) x - 2y < -6

Is the positive integer j divisible by a greater number of different prime numbers than the positive integer k ?

(1) j is divisible by 30.(2) k = 1,000

The numbers of books read by 7 students last year were 10, 5, p, q, r, 29, and 20. What was the range of the numbers of books read by the 7 students last year?

(1) 5 < p < q(2) p < r < 15

In the xy-plane, the line k passes through the origin and through the point (a,b), where ~$ab\neq 0$~. Is b positive?

(1) The slope of line k is negative.(2) a < b

Is x^{4} + y^{4} > z^{4} ?

(1) x^{2} + y^{2} > z^{2}(2) x + y > z

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.