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x = z = 122

Quantity A

t

Quantity B

3




PQ is a diameter of the circle.

Quantity A

The length of arc QRS

Quantity B

The length of arc STP


An urn contains 1 red disc, 4 purple discs, and 95 orange discs. Two discs are to be chosen from the urn, simultaneously and at random.

Quantity A

The probability that one of the discs chosen will be red

Quantity B

The probability that both discs chosen will be purple


The median annual salary of the 267 employees in a certain department of Company X is $28,500. Which of the following must be true?
When the integer n is divided by 35, the remainder is 14. Which of the following must be a divisor of n?


The points indicated on rectangle ABCD above are equally spaced, and each of the lines k, l, and m passes through two of the points. Which of the lines, taken individually, divide(s) rectangular region ABCD into two regions that have areas in the ratio of 2 to 1?
The price of c cookies is d dollars. At this rate, what is the price of c+3,350 cookies, in dollars?


The graph above shows the numbers of students at College X, by gender and class. The total number of female students exceeds the total number of male students at College X by how many students?

Give your answer to the nearest 1,000 students.

_____ students
In the xy-plane, line p has the equation $$y=\frac{3}{2}x+8$$, and line l has the equation $$y=-\frac{2}{3}x+c$$, where c is a constant. The two lines intersect at a point with x-coordinate 6. What is the x-intercept of line l?

_____
The number of different subsets of 4 elements that can be selected from a set of 6 elements is 15. How many different subsets of 3 elements can be selected from a set of 7 elements?


In the figure shown, the small circle is tangent to the large circle and passes through the center O of the large circle. If the area of the shaded region is 1, what is the diameter of the small circle?


Quantity A

The slope of line l

Quantity B

$$-\frac{3}{4}$$


The random variable Y is normally distributed with a mean of 50 and a standard deviation of 5.4.

Quantity A

The probability that Y is between 44.6 and 48.2

Quantity B

The probability that Y is between 55.4 and 59.0


x is a member of the set {-3, 0, 1, 4, 7}

y is a member of the set {-4, -1, 2, 6, 8}

Quantity A

The least possible value of xy

Quantity B

-26




ABCD is a square, as shown above.

Quantity A

$$\frac{BC+CD}{BD}$$

Quantity B

2


2x+3y=1

4x-y=2

The respective equations of lines k and m in the xy-plane are shown above.

Quantity A

The x-coordinates of the point of intersection of lines k and m

Quantity B

The y-coordinates of the point of intersection of lines k and m


The retail price of a certain skirt was x percent greater than its wholesale price, where 20 ≤ x ≤ 80. The discount price of the skirt was x percent less than its retail price.

Quantity A

The wholesale price of the skirt

Quantity B

The discount price of the skirt


When the positive integer n is divided by 3, the remainder is 1.

Quantity A

The remainder when n is divided by 5

Quantity B

2


Ted sold two houses. He sold one of the houses for a profit of 20 percent of its purchase price, and he sold the other house for a loss of 20 percent of its purchase price. If the selling price of each house was $192,000, by what amount did the sum of the purchase prices of the two houses exceed $384,000?


If one Corporation R restaurant is to be randomly selected from those in the southeast region, what is the probability that the restaurant selected will be located in a city with a population under 50,000?

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