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In the argument given. the two highlighted portions play which of the following roles?
Which of the following can be inferred about the action mentioned in the highlighted portion of the passage?
In a game, the cards in a certain deck are distributed to players one at a time until each player has the same number of cards and there are not enough cards left in the deck to distribute one more card to each player. The number of cards in the deck is between 60 and 100. If the cards in the deck are distributed to 5 players, 2 cards will be left in the deck. If the cards in the deck are distributed to 6 players, 4 cards will be left. If the cards in the deck are distributed to 7 players, how many cards will be left in the deck?
An engineer draws two concentric circles on a blueprint. If the diameter of the outer circle is 6 centimeters greater than the diameter of the inner circle, how much greater, in centimeters, is the circumference of the outer circle than the circumference of the inner circle?


The figure ABCDOE above consists of a large semicircle ABC with center O and two small semicircles AEO and ODC. If the area of figure ABCDOE is 48π, what is the length of diameter AC?
A box contains 100 purple balls, 100 red balls, and 100 white balls. What is the minimum number of balls that must be chosen to ensure that at least 4 of the balls chosen have the same color?


The table shows values of the function $$f$$ for selected values of $$x$$. The graph of $$y=f(x)$$ is a line in the $$xy$$-plane. What is the value of $$f(1)$$?

Give your answer as a fraction.
The argument is most vulnerable to which of the following criticism?
n > 1

Quantity A

The product of ($$\sqrt{n+1}-\sqrt{n-1}$$) and ($$\sqrt{n+1}+\sqrt{n-1}$$)

Quantity B

2






The line with equation $$y=3x-2$$ will be translated $$4$$ units to the right and $$5$$ units up in the xy-plane. Which of the following is the equation of the resulting line?
Early natural history collections in eighteenth-century Europe were ____________: a bear's tooth might sit incongruously alongside a piece of silverwork or, in the menagerie, a South American capybara might be housed next to an African baboon.
-1 < x < 0 < y < z < 1

Quantity A

The median of x, y and z

Quantity B

The median of $$x^{2}$$, $$y^{2}$$, and $$z^{2}$$




If $$y^{-1}$$=$$x^{3}$$ and $$w^{-1}$$=$$y^{3}$$, which of the following is an expression for w in terms of x?
The average (arithmetic mean) of a set of n test scores is 70. If a new score of 90 is added to the set, the average of the set of scores will be 72. What is the value of n?
If p≠1, which of the following must be negative?
A certain box is in the shape of a cube. If the total surface area of the box is 384 square feet, what is the total length, in feet, of all the edges of the box?
$$a$$ and $$b$$ are consecutive positive integers and $$a$$ is less than $$b$$.

Quantity A

$$a^{b}$$

Quantity B

$$b^{a}$$


A certain list has 5 entries and each entries is an integer between 55 and 70, inclusive. The median of the 5 entries is 60. If m is the average (arithmetic mean) of the 5 entries, which of the following must be true?
In a club composed of 30 members, $$\frac{2}{5}$$ of the members are older than 24 years and $$\frac{5}{6}$$ of the members are right-handed.

Quantity A

The number of members in the club who are older than 24 years and right-handed

Quantity B

10






What is the area of the shaded region shown in the xy-plane?

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