If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4.
(2) k is divisible by exactly four different prime numbers.

Is m > k ?

(1) 3m > 3k
(2) 2m > 2k

Is 4z > -6 ?

(1) z < 7
(2) z > -1

Is x < y ?

(1) 2x < 3y
(2) xy > 0

If Bob produces 36 or fewer items in a week, he is paid x dollars per item. If Bob produces more than 36 items in a week, he is paid x dollars per item for the first 36 items and 1.5 times that amount for each additional item. How many items did Bob produce last week?

(1) Last week Bob was paid a total of $480 for the items that he produced that week.
(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.

The cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick?

(1) The cost of a square slab that is 2 meters long and 0.2 meter thick is $160 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.
(2) The cost of a square slab that is 3 meters long and 0.1 meter thick is $200 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.

If a and b are positive numbers, what are the coordinates of the midpoint of line segment CD in the xy-plane?

(1) The coordinates of C are (a, 1 - b).
(2) The coordinates of D are (1 - a, b).

This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease?

(1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container.
(2) Six cups of sugar from the container were used to make the cookies.

If k is a positive integer, then 20k is divisible by how many different positive integers?

(1) k is prime.
(2) k = 7

Is m + z > 0 ?

(1) m - 3z > 0
(2) 4z - m > 0