Of the 75 houses in a certain community, 48 have a patio. How many of the houses in the community have a swimming pool?

(1) 38 of the houses in the community have a patio but do not have a swimming pool.
(2) The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimming pool nor a patio.

If the product of the three digits of the positive integer k is 14, what is the value of k ?

(1) k is an odd integer.
(2) k < 700

If the operation △ is one of the four arithmetic operations addition, subtraction, multiplication, and division, is (6 △ 2) △ 4 = 6 △ (2 △ 4) ?

(1) 3 △ 2 > 3
(2) 3 △ 1 = 3

Is p + pz = p ?

(1) p = 0
(2) z = 0

Jack and Mark both received hourly wage increases of 6 percent. After the wage increases, Jack's hourly wage was how many dollars per hour more than Mark's?

(1) Before the wage increases, Jack's hourly wage was $5.00 per hour more than Mark's.
(2) Before the wage increases, the ratio of Jack's hourly wage to Mark's hourly wage was 4 to 3.

The positive integers x, y, and z are such that x is a factor of y and y is a factor of z. Is z even?

(1) x is even.
(2) y is even.

In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year?

(1) Jim's annual salary was $30,000 that year.
(2) Kate's annual salary was $40,000 that year.

If there are more than two numbers in a certain list, is each of the numbers in the list equal to 0 ?

(1) The product of any two numbers in the list is equal to 0.
(2) The sum of any two numbers in the list is equal to 0.

If x and y are positive integers, what is the value of xy ?

(1) The greatest common factor of x and y is 10.
(2) The least common multiple of x and y is 180.

If x and y are positive integers, is the product xy even?

(1) 5x - 4y is even.
(2) 6x + 7y is even.