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Quantity A

|a|

Quantity B

|b|


If 15 ≤ r ≤ 18 and 30 ≤ s ≤ 36, what is the greatest possible value of the average (arithmetic mean) of $$\frac{1}{r}$$ and $$\frac{1}{s}$$?
Today is Willy and Jake's birthday. Willy is 6 years older than Jake. On their birthday 4 years from today, Willy's age will be twice Jake's age. What will Jake's age be on his birthday 4 years from today?

_____years


Based on the information given, which of the following statements are true?

Indicate all such statements.


Of the commuters in the sample from City B in 2000, $$\frac{1}{3}$$ commuted by train, If the daily round-trip commute time for those in the sample who did not commute by train was 90 minutes, what was the daily round-trip commute time, in minutes, for those in the sample by train?


On the number line, Z is the midpoint of line segment XY.

Quantity A

The coordinate of Z

Quantity B

2.3


In a barrel, there are in ping-pong balls labeled with consecutive integers from 1 to n, where n is an odd integer greater than 50. If a ball is to be randomly selected from the barrel, what is the probability that the ball selected will be a ball that is labeled with an odd integer?
It can be inferred from the passage that the Chinese emperor and the bureaucracy differed with respect to the
The integer m is the product of four different prime numbers. If the result when m is divided by 35 is a multiple of 3, which of the following could be the result when m divided by 5?
In a poll of 200 people who answered either yes or no to each of two questions, 170 people answered yes to the first question and 10 people answered yes to the second question. Which of the following could be the number of people polled who answered no to both questions?

Indicate all such numbers.
Experiments with animal behavior have sometimes been handicapped by scientists' ____________ approach: the animals are tested in ways that work fine with humans but not so well with other species.


In the figure shown, the small circle is tangent to the large circle and passes through the center O of the large circle. If the area of the shaded region is 1, what is the diameter of the small circle?
Scholars of the civil rights movement have often characterized it as springing from social, political, and economic structures ____________ the South, thus overlooking the tradition of civil rights activism in other regions of the country.
Pine stumps have been found in discrete layers in peat deposits throughout western Europe and thus represent brief but distinct episodes of bog colonization by pine. Their occurrence implies conditions on the bog surface suitable for colonization, followed by inhospitable conditions for trees that nevertheless facilitated preservation of stumps. Thus, the (i)____________ of pine stumps can (ii)____________ climate change, by (iii)____________ the inference that bog surfaces had dried sufficiently to allow colonization and then became too wet to support the trees.


A homeowner wants to pour concrete for a new patio and walkway according to the layout shown above. If the concrete is to be $$\frac{1}{3}$$ foot thick, how many cubic feet of concrete will be needed to form the patio and walkway?
Myth and orality are ___________ in Africa: the former is ubiquitous in the African oral literary tradition, while the latter is almost always based on the former.
The primary purpose of the passage is to
An exercise ball is made from soft elastic that has uniform thickness of 2 millimeters, and the interior of the ball is filled with air. The ball is in the shape of a sphere and has an exterior diameter of 65 centimeters. What is the radius of the interior of the ball, in millimeters?
In 2014 the price of one share of a certain stock increased by 20 percent from January 1 to February 1 decreased by n percent from February 1 to March 1, and increased by 25 percent from March 1 to April 1. If the price of one share of the stock increased by 5 percent from January 1 to April I in 2014, what is the value of n?
Darrell has a collection of 40 DVDs, each of which contains one movie. There are 17 comedy movies, 14 fantasy movies, and 9 historical movies, where each historical movie takes place in a separate time period. The movies will be ordered on a shelf from left to right so that the movies of each type comedy, fantasy and historical are in a single group of consecutive movies. In addition, the historical movies will be ordered from earliest time period to latest time period. How many possible orderings of the movies are there?

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