Is y – x positive?

(1)   y > 0
(2)   x = 1 - y

If Antonio bought two half-gallon cartons of ice cream during a special sale, what percent of the total regular price of the two cartons did he save?

(1)   Antonio paid the regular price for the first carton and received the second carton for half the regular price.
(2)   The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton.

Is the integer n even?

(1)   n – 5 is an odd integer.
(2)   n/5 is an even integer.

Development planners determined the number of new housing units needed in a certain area by using the formula H = kJ, where H is the number of new housing units needed in the area, J is the number of new jobs to be created in the area, and k is a constant.  How many new housing units did the planners determine were needed?

(1)   The number of new jobs to be created was 60,000.
(2)   According to the formula used by the planners, if 37,500 jobs were to be created, then 7,500 new housing units would be needed.

If n=3k, is k an integer?

(1)   n is an integer.

(2)   n/6 is an integer.

If ~$ l_1║l_2$~ in the figure above, is x = y?

(1) p║r and r║t

(2) q║s

Of the students in a certain school, 15 percent are enrolled in an art class and 10 percent are enrolled in a music class.  What percent of the students in the school are enrolled in neither an art class nor a music class?

(1)   2/3 of the students who are enrolled in an art class are also enrolled in a music class.
(2)   There are more than 100 students in the school.

What is the total value of Company H’s stock?

(1)   Investor P owns 1/4 of the shares of Company H’s total stock.
(2)   The total value of Investor Q’s shares of Company H’s stock is $16,000.

In the sequence of nonzero numbers ~$t_1, t_2, t_3, \ldots, t_n;  t_{n+1} = t_n / 2$~for all positive integers ~$n$~.  What is the value of ~$t_5$~?

(1)   ~$t_3=\frac{1}{4}$~
(2)   ~$t_1-t_5 = \frac{15}{16}$~

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.