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The average (arithmetic mean) of the 4 integers q, r, s and t is 0.

Quantity A

The average of the 4 integers q+10, r, s and t

Quantity B

The average of the 5 integers q, r, s, t, and 10






The circumference of a circle with radius 3 is divided into 4 areas of lengths w, x, y, and z, as shows.

Quantity A

The average (arithmetic mean) of w, x, y, and z

Quantity B




Line segment QT has length 28. Point P is on QT, and line segment PT has length 15. Point X is also on QT, and line segment XP has length 3.

Quantity A

The length of line segment QX

Quantity B

The length of line segment QP


Jim paints $$\frac{1}{5}$$ of a garage, and Katrin paints 1/6 of the remainder of the garage.

Quantity A

The fraction of the garage not painted by Jim and Katrin

Quantity B

19/30




It costs $$d$$ dollars to buy $$s$$ sandwiches. At this rate, what is the cost of $$s+2,850$$ sandwiches, in dollars?
A store is shipping 7 items to a single address. The items can be packed into 1, 2 or 3 different containers for shipping. If a container is used for shipping, it must be packed with at least 2 items. Which of the following statements about the different combinations of packing must be true?

Indicate all such statements.
Club X has 40 members and Club Y has 28 members. If 8 people are members of both clubs, how many people are members of at least one of the two clubs?
In quadrant I of the xy-plane, a triangle has vertices at $$(r, r)$$, $$(4r, r)$$, and $$(r, 3r)$$. For what value of $$r$$ is the area of the triangle equal to $$300$$?
A circle is inscribed in a square. If a point is to be chosen at random from the square region, what is the probability that the point chosen will lie inside the circular region?
How many of the 900 positive 3-digit integers have a units digit of 2 and are the square of an integer?
Each of the people who took a data entry test made 0, 1, 2, 3, or 4 errors. Of those people, 65 percent made fewer than 4 errors, 46 percent made fewer than 3 errors, and 24 percent made fewer than 2 errors.

Quantity A

The percent of the people who took the data entry and made exactly 2 errors

Quantity B

20%




x > 1, $$\frac{1}{\sqrt{x}}$$ < $$\frac{1}{\sqrt{y}}$$

Quantity A

x

Quantity B

y


x ≠ $$\frac{1}{2}$$

Quantity A

$$\frac{(x+\frac{1}{2})^{2}}{(x-\frac{1}{2})^{2}}$$

Quantity B

1




Sequence S has 75 terms. The nth term of S is 2n+5, where n is an integer from 1 to 75, inclusive.

Quantity A

The median of the values of the terms in S

Quantity B

81




The original price of a certain musical instrument was 25 percent, or $150, greater than the discounted price. What was the original price of the instrument?


A typing test was given to 87 people. The table shows the cumulative frequency distribution for the numbers of errors made by this group of people on the test. How many of the 87 people made exactly 3 errors on the test?


For how many of the 12 months shown did the long-term average water level decrease during the month by at least 20 billion gallons?


The time period during which the actual water level was lower than the drought warning water level was approximately what fraction of the one-year period shown?


A date is to be selected at random from the 12 dates labeled on the graph. Which of the following is closest to the probability that the actual water level for the date selected will be at least 40 billion gallons greater than the drought warning water level for that date?
In the xy-plane, the graph of an equation is symmetric with respect to the y-axis if for every point (a, b) on the graph, the point (-a, b) is also on the graph. Which of the following equations have a graph in the xy-plane that is symmetric with respect to the y-axis?

Indicate ALL such equations.

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