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Each employee in two separate groups of 15 employees, group I and group II, was given a job-performance rating. The standard deviation of the ratings for group I was 8.5 and the standard deviation for group II was also 8.5.

Quantity A

The standard deviation of the 30 ratingss

Quantity B

17


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.
A line in the xy-plane has the equation y=mx+6, where m is a constant and 3 ≤ m ≤ 4. Which of the following could be the x-intercept of the line?

Indicate all such values.
A large cube consists of 216 small identical cubes. What is the number of small cubes that do not have a face that is part of a face of the large cube?


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?
If 15 percent of the students in a class are 16 years old or older, what is the least possible number of students in the class?
$$x^{4}$$$$y^{3}$$$$z^{2}$$ < 0

Quantity A

$$xyz$$

Quantity B

0


Quantity A

The remainder when $$10^{8}$$+$$10^{9}$$+$$10^{10}$$+$$10^{11}$$ is divided by 11

Quantity B

0


$$d$$ is the greatest common divisor of 36 and 60, $$m$$ is the least common multiple of 36 and 60.

Quantity A

$$\frac{36}{d}$$

Quantity B

$$\frac{m}{60}$$



The hexagon is both equilateral and equiangular.

Quantity A

P

Quantity B

Q


A caterer has 20 liters of fruit punch that is 12 percent grape juice, by volume. How many liters of fruit punch that is 20 percent grape juice, by volume, must be added to the original 20 liters of fruit punch in order to create fruit punch that is 15 percent grape juice, by volume?

_____liters
1 < x < 2

Quantity A

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

Quantity B

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


a > 0, x≠0

Quantity A

a$$x^{4}$$

Quantity B

$$(ax)^{4}$$


The operation ▼ is defined by $$ n^{▼}=(n-1)^{2} $$ for all numbers n.

Quantity A

$$ \frac{(a+1)^{▼}}{a^{2}}$$

Quantity B

1


For all numbers x and y, the operation ▼ is defined by x ▼ y=x-2y.

Quantity A

1▼(2▼3)

Quantity B

(1▼2) ▼3


40 < r < s < t < 60
r, s and t are even integers. What is the range of all the possible values of r+s+t?
Which of the following CANNOT be the sum of 6 consecutive odd integers?
Let a be the greatest integer such that $$5^{a}$$ is a factor of 1,500, and let b be the greatest integer such that $$3^{b}$$ is a factor of 33,333,333. Which of the following statements are true?

Indicate all such statements.

Quantity A

The remainder when $$2^{32}$$ is divided by 3

Quantity B

1


Quantity A

The remainder when $$7^{22}$$ is divided by 5

Quantity B

4


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