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

(1) 7x – 2y > 0
(2) -y < x

~$(n-x)+(n-y)+(n-c)+(n-k)$~

What is the value of the expression above?

(1)   The average (arithmetic mean) of ~$x, y, c$~, and ~$k$~ is ~$n$~.
(2)   ~$x, y, c$~, and ~$k$~ are consecutive integers.

On a recent trip, Mary drove 50 miles.  What was the average speed at which she drove the 50 miles?

(1)  She drove 30 miles at an average speed of 60 miles per hour and then drove the remaining 20 miles at an average speed of 50 miles per hour.
(2)  She drove a total of 54 minutes.

In the triangle above, is ~$x>90$~?

(1) ~$a^2+b^2<15$~
(2) ~$c>4$~

If n is a positive integer and r is the remainder when (n-1)(n+1) is divided by 24, what is the value of r?

(1) 2 is not a factor of n.
(2) 3 is not a factor of n.

If n and k are positive integers, is n/k an even integer?

(1) n is divisible by 8.
(2) k is divisible by 4.

A certain dealership has a number of cars to be sold by its salespeople.  How many cars are to be sold?

(1) If each of the salespeople sales 4 of the cars, 23 cars will remain unsold.
(2) If each of the salespeople sales 6 of the cars, 5 cars will remain unsold.

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.

If r is a constant and ~$a_n=r·n$~ for all positive integers ~$n$~, for how many values of n is ~$a_n<100$~?

(1) ~$a_{50}=500$~
(2) ~$a_{100}+a_{105}=2,050$~

If ~$(y+3)(y-1)–(y-2)(y-1)=r(y-1)$~, what is the value of ~$y$~?

(1) ~$r^{2}=25$~

(2) ~$r=5$~