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Three lists contain 17, 35, and 41 measurements, respectively. The median of the measurements in each of the three lists is 52.

Quantity A

The median of the 93 measurements in the three lists combined

Quantity B

52


Let $$S_8$$ represents the set of integers from 1 to 8, and let $$S_9$$ represents the set of integers from 1 to 9.

Quantity A

The number of the subsets of $$S_8$$

Quantity B

The number of the subsets of $$S_9$$ that contain the integer 9


At a certain dealership, $$\frac{2}{5}$$ of the trucks have four-wheel drive, and $$\frac{1}{3}$$ of the vehicles that have four-wheel drive are trucks. Of the vehicles that are trucks or have four-wheel drive, what fraction are trucks that have four-wheel drive?

Give your answer as a fraction.
In a sample of n people, 80 percent of the people filled out a questionnaire. If 65 percent of those who filled out the questionnaire are college graduates, what is the greatest possible percent of college graduates in the sample of n people?

Quantity A

x

Quantity B

y+z


In a certain scale drawing of a rectangular garden, 1 inch represents 3 feet. The scale drawing of the garden has an area of 6 square inches.

Quantity A

The total area of the garden

Quantity B

50 square feet


A rectangular floor will be completely covered with square tiles, each of which has sides of length 6 inches. If tiles are laid side by side with no space between them and no tiles are cut, then the number of tiles needed to cover the floor is 1,080. Which of the following could be the dimensions of the floor? (Note12 inches=1 foot.)

The figure above represents the surface of a wall with an irregular shape, where all measurements are in meters and point P is 10 meters from the bottom edge and 10 meters from the left edge. The surface is to be painted, and one bucket of paint will cover 170 square meters of the surface. If the bucket of paint will cover the part of the surface from the left edge to a vertical line that is x meters from the left edge, which of the following is true?


If 20 red cubes and 7 white cubes, all of equal size, are fitted together to form one large cube, as shown above, what is the greatest fraction of the surface area of the large cube that could be red?

x=y

BD∥AE

Quantity A

The area of △ACE

Quantity B

The area of △BDF


If z=$$\frac{x}{y}$$, w= $$\frac{x}{x+y}$$, and 0 < x < y, what is w in terms of z?
Each of the numbers m, n, and p is greater than 0 and less than 1..

Quantity A

m(n+p)

Quantity B

mn+p


1 < x < 2

Quantity A

$$\frac{1}{x}$$+$$\frac{2}{x}$$+ $$\frac{3}{x}$$

Quantity B

x +$$\frac{x}{2}$$+ $$\frac{x}{3}$$


If a=$$(-\frac{1}{37})^{12}$$, which of the following equals to $$37^{-12}$$?
n is an integer

Quantity A

$$(\frac{1}{2})^{n}$$

Quantity B

$$(\frac{1}{3})^{n}$$


If $$r=p^{n}$$, where $$p$$ is a prime number, and $$n$$ is a positive integer, then define $$r△=(r)(n)$$. For example, $$25=5^{2}$$, then 25△=(25)(2)=50. Therefore, what is the value of 32△?
List R={x, y, z, 2.7, 3.8, 5.5}

List S={x, y, z, -2.7, -3.8, -5.5}

If the average (arithmetic mean) of the 6 numbers in list R is r and the average of the 6 numbers in list S is s, then r-s is the average of which of the following lists?

Quantity A

The standard deviation of numbers 12, 13, 16, 19, 20

Quantity B

The standard deviation of numbers 12, 15, 16, 17, 20


There are 5!, or 120, ways of arranging 5 different solid-colored flags side by side. If the colors of the flags are red, blue, yellow, green, and orange, how many of those arrangements have either the red flag or the blue flag in the middle position?
The probability that a person will succeed at a particular task is p.

Quantity A

p(1-p)

Quantity B

0.4


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