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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


If xy ≠ 0, which of the following is equivalent to $$y^{-1}=3x^{-1}$$?


In the xy-plane shown, what is the maximum distance from an endpoint of line segment AB to a vertex of triangle DEF?
In 1970 approximately what percent of United States residents were older than 5 but younger than 65 years old?
Of the 10 selected years, which had the greatest total number of United States residents in the combined age groups of “5 years and younger” and “65 years and older”?
Of the following which best describes how the number of United States residents that were in the age-group"5 years and younger"changed from 1900 to 1940?
List R contains 30 values, and the average (arithmetic mean) of the values in R is m. List S contains 20 values, and the average of the values in S is m+40. List T consists of the vaues in R followed by the values in S.

Quantity A

The average of the values in T

Quantity B

m+16




The primary purpose of the passage is to
A dealer's gross profit on the sale of a car is defined as the selling price of the car minus its cost to the dealer. A car dealer sold $$n$$ cars for $$s$$ dollars each. If the dealer's total gross profit was $$p$$ dollars, what was the dealer's average (arithmetic mean) cost per car, in dollars?
In a quality control study, 200 boxes of brackets were examined; each box contained 50 brackets. For each box, the ratio, f, of the number of defective brackets in the box to the total number of brackets in the box was recorded. The number of defectives per box varied from 1 to 12, inclusive.

Quantity A

The sum of the 200 values of f

Quantity B

The sum of the squares of the 200 values of f


Which student wrote the longest articles as measured by the average (arithmetic mean) number of words per article?
The greatest number of words read by a student exceeded the least number of words read by a student by approximately what percent?
Of all the articles read, students C, D, and E read the same 2 articles. In addition to these 2 articles, C and D read the same 10 articles, C and E read the same 5 articles, and D and E read the same 7 articles. How many articles were read by at least one of the three students, C, D, and E?
The area of square region S is equal to the area of circular region C.

Quantity A

The length of a diagonal of S

Quantity B

The length of a diameter of C




Quantity A

The area of triangular region XYZ

Quantity B

The area of triangular region KLM




$$a_{1}$$, $$a_{2}$$, $$a_{3}$$, ......, $$a_{n}$$, ......

The sequence of numbers shown is defined by $$a_{1}$$=4, $$a_{2}$$=5, and $$a_{n}$$=2$$a_{n-1}$$+$$a_{n-2}$$ for all integers greater than 2. Which of the following is a number in the sequence?
At a constant rate of $$\frac{x}{6}$$ miles for every $$y$$ seconds, how many minutes would it take an aircraft to travel $$z$$ miles? ($$xyz \neq 0$$)
Sam purchased two pictures from an artist and sold each of them for $540. If Sam sold one of the pictures for 20 percent more than he paid for it and sold the other picture for 10 percent less than he paid for it, what was Sam's total profit on the two pictures?
If $$1 \lt r \lt s \lt t \lt 2$$, then, of the following, which is closest to $$r+(s\times10^{6})+(t\times10^{12})$$?
Starting from rest, a certain car travels a distance of Q meters in t seconds, where $$Q=4t^{2}$$ and 0≤ Q ≤ 64. In how many seconds does the car travel 64 meters, starting from rest?

_____seconds

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