If S is a set of four numbers w, x, y, and z, is the range of the numbers in S greater than 2 ?

(1) w - z > 2

(2) z is the least number in S.

M and N are integers such that 6 < M < N. What is the value of N ?

(1) The greatest common divisor of M and N is 6.

(2) The least common multiple of M and N is 36.

Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other's point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?

(1) At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.

(2) Train Q averaged a speed of 55 miles per hour for the entire trip.

In the xy-plane shown, the shaded region consists of all points that lie above the graph of~$ y = x^2 - 4x$~ and below the x-axis. Does the point (a,b) (not shown) lie in the shaded region if b < 0 ?

(1) 0 < a < 4

(2) ~$ a^2 - 4a < b$~

If a and b are positive integers, is~$\sqrt[3]{ab}$~ ab an integer?

(1)~$\sqrt{a}$~ is an integer.

(2)~$ b =\sqrt{a}$~

In the figure shown, point O is the center of the semicircle and points B, C, and D lie on the semicircle. If the length of line segment AB is equal to the length of line segment OC, what is the degree measure of angle BAO ?

(1) The degree measure of angle COD is 60.
(2) The degree measure of angle BCO is 40.

In the coordinate plane above, what is the area of rectangular region MNRS ?

(1) M has coordinates (2, 1).
(2) N has coordinates (2, 5).

In the figure above, lines l₁ and l₂ are parallel. What is the value of x ?

(1) y = 87
(2) z = 93

In the table above, is z = 20q ?

(1) q = 3
(2) Each value in the table other than q is equal to the sum of the value immediately above it in the table and the value immediately to its left in the table.

a₁ , a₂ , a₃ , . . . , a₁₅ 
In the sequence shown, a_n = a_{n - 1} + k, where ~$2\leq n\leq 15$~ and k is a nonzero constant. How many of the terms in the sequence are greater than 10 ?

(1) a₁ = 24
(2) a₈ = 10