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The highlighted sentence serves primarily to
The passage suggests that the Dorset Paleo-Inuit people


Quantity A

The radius of the circle

Quantity B

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


On a scaled map, the point for the geographical center of City A is 4 inches from the point for the geographical center of City B, and the point for the geographical center of City B is 2 inches from the point for the geographical center of City C. The actual distance from the geographical center of City A to the geographical center of City B is 500 miles. Which of the following values could be the actual distance, in miles, from the geographical center of City A to the geographical center of City C?

Indicate all such values.
A restaurant has a total of 16 tables, each of which can seat a maximum of 4 people. If 50 people were sitting at the tables in the restaurant, with no tables empty, what is the greatest possible number of tables that could be occupied by just 1 person?
Brand A cheese is sold at a cost of $$$4.00$$ per pound. Brand B cheese is sold at a cost of $6.00 per pound.

Quantity A

The cost of $$\frac{1}{2}$$ pound of Brand A cheese at this rate

Quantity B

The cost of $$\frac{1}{4}$$ pound of Brand B cheese at this rate


The function $$f$$ and $$g$$ are defined for all numbers $$x$$ by $$f(x)=1-2x$$ and $$g(x)=x^2-1$$.

Quantity A

$$f(g(f(-2)))

Quantity B

$$g(f(g(-2)))


List L consists of 1,349 different positive values, and list K consists of the reciprocals of the 1,349 values in L.

Quantity A

The median of L

Quantity B

The reciprocal of the median of K


$$n$$ is a positive two-digit integer.

Quantity A

The greatest prime factor of $$n$$

Quantity B

The greatest prime factor of $$2n+1$$


$$n=(2^a)(3^a)$$, where $$a$$ is a positive integer.

Quantity A

The number of different positive factors of $$n$$

Quantity B

$$a^2$$


A manager oversees 7 employees, including 1 new employee, assigning one or more of them to work on various tasks. The manager will assign 2 employees to work together on a certain task. Of all 21 possible pairs of employees that the manager can choose from the 7 employees to work on the task, the number of pairs that will not include the new employee is how many greater than the number of pairs that will include the new employee?
The remainder is 1 when the integer $$n$$ is divided by 5.

Quantity A

The remainder when the integer $$2n$$ is divided by 5

Quantity B

3


A group consisting of 4 adults and 3 children wil occupy 7 adjacent seats in one row of a theater, one person per seat. How many different arrangements of the 7 people are possible such that no two adults and no two children sit next to each
Let $$p$$ be theproduct of the integers from 1 to 200. What is the exponent of the prime number 7 in the prime factorization of $$p$$?
Let A be the set of integers between 1and 100 that, when divided by 5, have a remainder of 2. Let B be the set of integers between 1 and 100 that, when divided by 6, have a remainder of 1. How many integers are in the set A∩B?


The figure shows a circle with center O and radius $$r$$. If the length of line segment AB is $$\sqrt{2}r$$, what is the area of the shaded region?
The circumference of circle P is 9, and the circumference of circle T is 36.

Quantity A

The ratio of the radius of circle P to the radius of circle T

Quantity B

$$\frac{1}{2}$$


Quantity A

The greatest integer $$n$$ such that $$360^n$$ is a factor of $$2^{37}3^{25}2^{41}$$

Quantity B

11




The circles with centers P and O have radii 6 and 2, respectively, and are tangent to each other. Line $$l$$ is tangent to the circles at points A and B, as shown. What is the length of line segment AB ?

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