If p and q are positive integers and pq = 24, what is the value of p ?

(1) ~$q \over 6$~is an integer.

(2) ~$p \over 2$~is an integer.

If Q is an integer between 10 and 100, what is the value of Q ?

(1) One of Q's digits is 3 more than the other, and the sum of its digits is 9.

(2) Q < 50

What is the area of rectangular region R ?

(1) Each diagonal of R has length 5.

(2) The perimeter of R is 14.

A certain list consists of 400 different numbers. Is the average (arithmetic mean) of the numbers in the list greater than the median of the numbers in the list?

(1) Of the numbers in the list, 280 are less than the average.

(2) Of the numbers in the list, 30 percent are greater than or equal to the average.

If abc ≠ 0, is ~$\frac{\frac{a}{b}}{c}=\frac{a}{\frac{b}{c}}$~?

(1) a = 1

(2) c = 1

Can the positive integer p be expressed as the product of two integers, each of which is greater than 1 ?

(1) 31 < p < 37

(2) p is odd.

What is the value of a - b ?

(1) a = b + 4

(2) (a - b)² = 16

If w + z = 28, what is the value of wz ?

(1) w and z are positive integers.

(2) w and z are consecutive odd integers.

If p, q, x, y, and z are different positive integers, which of the five integers is the median?

(1) p + x < q

(2) y < z

Last year, if Elena spent a total of $720 on newspapers, magazines, and books, what amount did she spend on newspapers?

(1) Last year, the amount that Elena spent on magazines was 80 percent of the amount that she spent on books.

(2) Last year, the amount that Elena spent on newspapers was 60 percent of the total amount that she spent on magazines and books.