Lists S and T consist of the same number of positive integers.  Is the median of the integers in S greater than the average (arithmetic mean) of the integers in T?
(1)   The integers in S are consecutive even integers, and the integers in T are consecutive odd integers.
(2)   The sum of the integers in S is greater than the sum of the integers in T.

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

(1)   7x – 2y > 0
(2)   -y < x

When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was 3/7 of the tank’s capacity.  What was the tank’s capacity?

(1)   Before the 200 gallons were removed, the volume of oil in the tank was 1/2 of the tank’s capacity.
(2)   After the 200 gallons were removed, the volume of oil left in the tank was 1,600 gallons less than the tank’s capacity.

If ~$x(x-5)(x + 2)=0$~, is ~$x$~ negative?

(1)   ~$x^2–7x≠0$~
(2)   ~$x^2 –2x–15≠0$~

If the length of a certain rectangle is 2 greater than the width of the rectangle, what is the perimeter of the rectangle?

(1)   The length of each diagonal of the rectangle is 10.
(2)   The area of the rectangular region is 48.

What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y?

(1)   The average height of the students in class X is 120 centimeters.
(2)   The average height of the students in class X and class Y combined is 126 centimeters.

In June 1989, what was the ratio of the number of sales transactions made by Salesperson X to the number of sales transactions made by Salesperson Y?

(1) In June 1989, Salesperson X made 50 percent more sales transactions than Salesperson Y did in May 1989.
(2) In June 1989, Salesperson Y made 25 percent more sales transactions than in May 1989.

If Line k in the xy-plane has equation y=mx + b, where m and b are constants, what is the slope of k?

(1) k is parallel to the line with equation y=(1-m)x+b +1.
(2) k intersects the line with equation y=2x+3 at the point (2, 7).

If S is a set of ten consecutive integers, is the integer 5 in S?

(1) The integer –3 is in S.
(2) The integer 4 is in S.

Each week a certain salesman is made a fixed amount equal to $300 plus a commission equal to 5 percent of the amount of these sales that week over $1,000.  What is the total amount the salesman was paid last week?

(1) The total amount the salesman was paid last week is equal to 10 percent of the amount of these sales last week.
(2) The salesman’s sales last week total $5,000.