In the xy-plane, point P has coordinates (a, b) and point Q has coordinates (c, d). What is the distance between P and Q ?

(1) b - d = 4
(2) a - c = 3

If K is a positive three-digit integer, what is the hundreds digit of K ?

(1) The hundreds digit of K + 150 is 4.
(2) The tens digit of K + 25 is 7.

At a certain stand, all soft drinks cost the same and all sandwiches cost the same. How much does 1 sandwich cost at the stand?

(1) At the stand, 1 sandwich and 2 soft drinks cost a total of $3.15.
(2) At the stand, 3 sandwiches and 1 soft drink cost a total of $5.70.

Of the 20 people who each purchased 2 tickets to a concert, some used both tickets, some used only 1 ticket, and some used neither ticket. What percent of the tickets that were purchased by the 20 people were used by those people?

(1) Of the 20 people, 10 used only 1 ticket.
(2) Of the 20 people, 4 used neither ticket.

A manufacturer produced x percent more video cameras in 1994 than in 1993 and y percent more video cameras in 1995 than in 1994. If the manufacturer produced 1,000 video cameras in 1993, how many video cameras did the manufacturer produce in 1995 ?

(1) xy = 20
(2) ~$x+y+\frac{xy}{100}=9.2$~

If machine J, working alone at its constant rate, takes 2 minutes to wrap 60 pieces of candy, how many minutes does it take machine K, working alone at its constant rate, to wrap 120 pieces of candy?

(1) Machine K, working alone at its constant rate, takes more than 5 minutes to wrap 60 pieces of candy.
(2) Machines J and K, working together at their respective constant rates, take 1 minute and 30 seconds to wrap 60 pieces of candy.

If zy < xy < 0, is |x - z| + |x| = |z| ?

(1) z < x
(2) y > 0

If x and y are positive integers, is xy a multiple of 8 ?

(1) The greatest common divisor of x and y is 10.
(2) The least common multiple of x and y is 100.

x, 3, 1, 12, 8

If x is an integer, is the median of the 5 numbers shown greater than the average (arithmetic mean) of the 5 numbers?

(1) x > 6
(2) x is greater than the median of the 5 numbers.

How many more first-time jobless claims were filed in week P than in week T ?

(1) For weeks P, Q, R, and S, the average (arithmetic mean) number of first-time jobless claims filed was 388,250.
(2) For weeks Q, R, S, and T, the average (arithmetic mean) number of first-time jobless claims filed was 383,000.