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The primary purpose of the passage is to
Which of the following, if true, provides the most support for the argument?
The units digit of $$7^{n}$$ is r, and the units digit of $$9^{n}$$ is t, where n, r, and t are positive integers. Which of the following could be the value of r+t?

Indicate all such values.
There are n positive integers. The sum of the numbers is greater than 48, while the arithmetic average of the numbers is 1.2. What is the least value of n?
$$a_1, a_2, a_3,-..a_n,--.$$

In the sequence shown, $$a_1$$=6

and for each integer n greater than 1, $$a_n$$ is defined by

If n is even, then $$a_n$$=2+$$a_{n-1}$$ (n≥2)

If n is odd, then $$a_n$$=-8+$$a_{n-1}$$ (n≥2)

What is the value of $$a_7$$?
What is the value of $$\frac{51!-50!}{50!-49!}$$?

Give your answer as a fraction.
If x and y are even integers and xy=-24, what is the greatest possible value of x+y?
What`s the remainder when $$3^{82}$$ is divided by 5?

Quantity A

The number of positive even integers less than 100, each of which is the square of an integer

Quantity B

The number of positive odd integers less than 100, each of which is the square of an integer


Quantity A

x

Quantity B

112




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

Quantity A

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

Quantity B


The average (arithmetic mean) of the values of the homes in Town A is $100,000. The average of the values of the homes in Town B is $150,000. The number of homes in Town A is between 2 times and 3 times the number of homes in Town B. Which of the following values could be the average of the values of the homes in Town A and Town B combined?

Indicate all such values.
x+$$\frac{1}{x}$$=2

Quantity A

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

Quantity B

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




In the xy-plane, S is the set of all points (c, d) for which c and d are both integers.

Quantity A

The number of points in S that are a distance of 2 units from the point (7, 5)

Quantity B

4


n is a positive integer

Quantity A

The remainder when n(n+1)(n+2) is divided by 6

Quantity B

1




The numbers of employees in three regional offices of a company are n, p, and q, respectively. Each employee from each office mailed a card to each employee in the other two offices. Which of the following represents the total number of cards mailed by the employees?
If xy ≠ 0, which of the following is equivalent to $$y^{-1}=3x^{-1}$$?
For two statistics classes, class A and class B, there are more students in class A than in class B. The heights of the students in both classes were measured.

Which of the following statements individually provide(s) sufficient additional information to conclude that the average(arithmetic mean)height of the students in class A is greater than the average height of the students in class B?

Indicate all such statements.
According to the passage, the data on ceramic artifacts

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