If w and c are integers, is w > 0?

(1) w + c > 50
(2) c > 48

In the xy-plane, point~$ (r, s)$~ lies on a circle with center at the origin.  What is the value of ~$r^{2}+s^{2}$~?

(1) The circle has radius ~$2$~.
(2) The point~$ (\sqrt{2}, -\sqrt{2})$~ lies on the circle.

A total of $60,000 was invested for one year.  But of this amount earned simple annual interest at the rate of ~$x$~ percent per year, and the rest earned simple annual interest at the rate of y percent per year.  If the total interest earned by the $60,000 for that year was $4,080, what is the value of ~$x$~?

(1) ~$x=\frac{3}{4}y$~

(2) The ratio of the amount that earned interest at the rate of ~$x$~percent per year to the amount that earned interest at the rate of ~$y$~ percent per year was 3 to 2.

If J, S, and V are points on the number line, what is the distance between S and V?

(1) The distance between J and S is 20.
(2) The distance between J and V is 25.

If x and y are positive, is 3x > 7y?

(1) x > y + 4

(2) -5x < -14y

If n is an integer and 2 < n < 6, what is the value of n?

(1) n is a factor of 15.
(2) n is a factor of 21.

In 1997 there were 300 female employees at Company C.  If the number of female employees at Company C increased by 60 percent from 1977 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?

(1) From 1977 to 1997 the number of female employees increased by 200 percent at Company C.
(2) In 1977 there were 100 female employees at Company C.

If ~$x$~ and ~$y$~ are positive, what is the value of ~$x – y$~?

(1) ~$\frac{(x^{2} – y^{2}) }{(x + y)} = 4$~

(2) ~$x + y = 7$~

Is ~$x > k?$~

(1) ~$2^{x} • 2^{k}= 4$~
(2) ~$9^{x} • 3^{k}= 81$~

If x and y are positive, is 4x > 3y?

(1) x > y - x
(2) x/y < 1