If r, s, and t are positive integers, is r + s + t even?

(1)   r + s is even.

(2)   s + t is even.

Is |x|=|y|?

(1)   x - y = 6
(2)   x + y = 0

In the figure shown, what is the area of the circular region with center O and diameter BC?

(1)   BC/AB = 3/4
(2)   BD = 25

In a survey of 200 college graduates, 30 percent said they had received student loans during their college careers, and 40 percent said they had received scholarships.  What percent of those surveyed said that they had received neither student loans nor scholarships during their college careers?

(1)   25 percent of those surveyed said that they had received scholarships but no loans.
(2)   50 percent of those surveyed who said that they had received loans also said that they had received scholarships.

If the symbol ▼ represents either addition, subtraction, multiplication, or division, what is the value of 6 ▼ 2?

(1)   10 ▼ 5 = 2
(2)   4 ▼ 2 = 2

What is the value of ~$\frac{3^{-(x + y)}}{3^{-(x - y)}}$~ ?

(1)   ~$x=2$~
(2)   ~$y=3$~

If x and y are integers, is x + y greater than 0?

(1)   x is greater than 0.
(2)   y is less than 1.

What is the remainder when the positive integer n is divided by 3?

(1)   The remainder when n is divided by 2 is 1.
(2)   The remainder when n + 1 is divided by 3 is 2.

For a certain play performance, adults’ tickets were sold for $12 each and children’s tickets were sold for $8 each.  How many children’s tickets were sold for the performance?

(1)   The total revenue from the sale of adults’ and children’s tickets for the performance was $5,040.

(2)   The number of adults’ tickets sold for the performance was 1/3 the total number of adults’ and children’s tickets sold for the performance.

What is the value of ~$|x + 7|$~?

(1)   ~$|x + 3|=14$~
(2)   ~$(x + 2)^2 = 169$~