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Scholars have ______________ the notion that women in ancient Greece attended dramatic performances: although many think it is probable that they did, others contend that most women could not attend because of their child-care responsibilities.
Dobbs is __________ writer but a conventional thinker: her first-rate prose keeps stumbling over her second-rate ideas.
A number is to be selected from the set {1, 3, 5, 7, 9}, and a number is to be selected from the set {2, 4, 6, 8, 10}. P is the product of the two numbers selected.

Quantity A

The number of different possible values of P

Quantity B

25


Quantity A

The area of the region enclosed by the polygon

Quantity B

42x


-4 < $$x$$ < 2 and -2 < $$x$$ < 4

Quantity A

$$|x|$$

Quantity B

2


A tour group in an art museum consisted of 40 people, some of whom were art students. Of the art students who were in the tour group, 5 were studying sculpting and the rest were studying painting.

Which of the following statements individually provide(s) sufficient additional information to determine the number of art students who were in the tour group?

Indicate all such statements.
A train engine, traveling at a constant rate, passed Station A on its way to Station B. Thirty minutes after the engine passed Station A, it was 40 miles from Station B, and 45 minutes after it passed Station A, it was 23 miles from Station B, where these distances were measured along the train route between the two stations. How fast was the train engine traveling, in miles per hour?

_____miles per hour
Sixty-eight people are sitting in 20 cars, and each car contains at most 4 people. What is the maximum possible number of cars that could contain exactly 1 of 68 people?
11, 12, 13, 14, 15

Which of the following changes to the list of numbers above would increase the average (arithmetic mean) of the numbers but not affect their standard deviation?
$$2 < x < 5$$

Quantity A

$$x^2-7x+10$$

Quantity B

0


Last month a certain contractor received $350,000 for each home in a group of 8 homes sold. Additionally the contractor received a total of $2,150,000 for all 7 homes sold in another group of homes. For the 15 homes sold how much less was the average (arithmetic mean) selling price than the median selling price?

Quantity A

The greatest possible value of the product of two positive integers whose sum is 9

Quantity B

18


0 < x < 1

Quantity A

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

Quantity B

0


n is a positive integer.

Quantity A

$$(-1)^{2n}+(-1)^{2n-1}$$

Quantity B

0


If an integer x is to be randomly selected from among the integers between 1 and 10, inclusive, what is the probability that 2|x-3| < 4 ?
Polygon P has more than 5 sides. Polygon Q has twice as many sides as polygon P.

Quantity A

Twice the sum of the interior angles of polygon P

Quantity B

The sum of the interior angles of polygon Q


If $$t=h^2 +2$$ and $$h$$ is an integer from -5 to 2, inclusive, then the greatest possible value of $$t$$ is how much more than the least possible value of $$t$$?


The perimeter of the rectangle in the figure above is 20 and its length and width are integers. Which of the following could be the area of the shaded region?


Square GBDF is inscribed in the isosceles right triangle ACE.

Quantity A

The area of triangular region ABG

Quantity B

$$\frac{1}{4}$$ of the area of triangular region ACE


The integer $$n$$ is the product of four different prime numbers. If $$n$$ divided by 35 is a multiple of 13, which of the following could be equal to $$n$$ divided by 7?

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