In a certain senior class, 72 percent of the male students and 80 percent of the female students have applied to college. What fraction of the students in the senior class are male?

(1) There are 840 students in the senior class.
(2) 75 percent of the students in the senior class have applied to college.

A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

(1) The distance between point P and point X is 4.5.
(2) The distance between point X and point Y is 9.

If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of p²t ?

(1) m has more than 9 positive factors.
(2) m is a multiple of p³.

If x and y are points on the number line, what is the value of x + y ?

(1) 6 is halfway between x and y.
(2) y = 2x

If mv < pv < 0, is v > 0 ?

(1) m < p
(2) m < 0

In a certain election, 240 men and 280 women voted for the winning candidate. What was the total number of men and women who voted in the election?

(1) The number of women who voted was ~$\frac{7}{8}$~ the number of men who voted.
(2) Of the men and women who voted, 30 percent of the men and 40 percent of the women voted for the winning candidate.

If n is a positive integer and r is the remainder when n² - 1 is divided by 8, what is the value of r ?

(1) n is odd.
(2) n is not divisible by 8.

In the xy-coordinate plane, line m and line k intersect at the point (4, 3). Is the product of their slopes negative?

(1) The product of the x-intercepts of lines m and k is positive.
(2) The product of the y-intercepts of lines m and k is negative.

All the clients that Company X had at the beginning of last year remained with the company for the whole year. If Company X acquired new clients during the year, what was the ratio of the number of clients that Company X had at the end of last year to the number of clients that it had at the beginning of last year?

(1) The ratio of the number of clients that Company X had at the beginning of last year to the number of new clients that it acquired during the year was 12 to 1.
(2) Company X had 144 clients at the beginning of last year.

Beth and Jim each received a salary increase. If Jim's salary was increased by the same percent as Beth's salary, did Beth receive a greater dollar increase in salary than Jim?

(1) Before the increases, Jim's salary was greater than $25,000.
(2) Before the increases, Jim's salary was ~$\frac{4}{5}$~ of Beth's salary.