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The positive numbers a, b, c, d, e, and f are different from each other.

Quantity A

The range of the numbers a, b, c, d, e, and f

Quantity B

The range of the numbers $$a^{2}$$, $$b^{2}$$, $$c^{2}$$, $$d^{2}$$, $$e^{2}$$ and $$f^{2}$$




A researcher recorded the amount of time, rounded to the nearest second, that it took each of 14 people to complete a certain task. The recorded times are summarized in the boxplot shown. Which of the following statements must be true?

Indicate all such statements.
$$x^{2}-y^{2}$$=25

x-y=5

Quantity A

x+y

Quantity B

5


The units digit of 2!+4!+6!+8!+10! Is
In a local election there are 2 candidates for mayor, 4 candidates for sheriff, and 5 candidates for dogcatcher on the ballot. In each of the three categories a voter may vote for exactly one candidate or none. How many different ways can a vote fill out the ballot?
When the positive integer p is divided by 7, the remainder is 3. When p is divided by 6, the remainder is 4. Which of the following could be the value of p?

Indicate all such values.
The least and greatest values in data set $$X$$ are $$j$$ and $$k$$. respectively, and the least and greatest values in data set $$Y$$ are $$p$$ and $$r$$, respectively, where $$j < k < p < r$$. The least value in data set $$Z$$ is the average (arithmetic mean) of $$j$$ and $$k$$, and the greatest value in data set $$Z$$ is the average of $$p$$ and $$r$$.

Quantity A

The average of the range of the values in data set $$X$$ and the range of the values in data set $$Y$$

Quantity B

The range of the values in data set $$Z$$


a, b, c, and d are numbers that are greater than 0 and less than 1.

Quantity A

(a+b)(c+d)

Quantity B

a+b(c+d)


a < b < c < d < e

List S: a, b, c, d, e

List T: a-2, b-1, c, d+1, e+2

Quantity A

The standard deviation of the numbers in list S

Quantity B

The standard deviation of the numbers in list T


A group of n people is categorized as follows.

9 people are taller than 6 feet.

14 people are shorter than $$5\frac{1}{2}$$ feet.

12 people are under 21 years old.

If each person in the group is in at least one of the three categories, then n can be any integer between
A dog show features four breeds consisting of 3 poodles, 3 German shepherds, 3 boxers, and 2 Irish setters. If the winning group will consist of one dog from each breed, how many different winning groups are possible?
In an art history class, 70 percent of the students submitted their assignments on time, and of those who did not, 40 percent submitted their assignments one day late.

Quantity A

The percent of the class who neither submitted their assignments on time nor submitted them one day late

Quantity B

18%


The sum of the digits of a two-digit integer is 6 more than the tens digit minus the units digit. What is the units digit?


To the nearest billion dollars, what was the median of the amounts of advertising expenses in the five television markets?
The sequence shown is defined by $$Q_1=6$$ and $$Q_{n+1}=\frac{1}{3}Q_n$$, for each positive integer n.

$$Q_1, Q_2, Q_3, ......, Q_n,.....$$

Quantity A

$$Q_{11}$$

Quantity B

$$(3^{17})Q_{28}$$


Astronomers affiliated with larger scientific institutions are often seen by their peers as ___________________: successful practice of astronomy today is contingent upon easy access to sizeable and costly instruments.
Which of the following best describes the function of the highlighted sentence?
It can be inferred from the passage that the author would probably agree with which of the following claims about animals and temperature change?
Whereas water on Mars could plausibly have been delivered by repeated comet impacts in the geologically recent past, the ice on smaller bodies is more difficuIt to attribute to _______________ source.
The passage suggests that by the end of the nineteenth century,many publishers of newspapers in the United States

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