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In a sample of 45 people, 25 are married and 38 are homeowners. The least possible number of people in the sample who are married and homeowners is n.

Quantity A

n

Quantity B

18


1, 2, 3, ......, m

1, 2, 3, ......, n

The first sequence consists of m consecutive integers, and the second sequence consists of n consecutive integers, where m is even and n is odd.

Quantity A

The percent of integers in the first sequence that are odd

Quantity B

The percent of integers in the second sequence that are even




An experiment has five possible outcomes -- A, B, C, D, and E. The table shows the probabilities of three of the five outcomes. The probability of outcome C is twice the probability of outcome E.

Quantity A

The probability of outcome E

Quantity B

$$\frac{1}{9}$$


$$S_1$$, $$S_2$$, $$S_3$$,....., .$$S_k$$,......

The sequence shown is defined by $$S_1$$=5, and $$S_{k+1}$$=2$$S_k$$, for each positive integer k.

Quantity A

$$S_8$$

Quantity B

$${\frac{1}{2^{13}}}S_{21}$$


Each player in a certain chess tournament is categorized as either amateur or expert, and each player is given a rating as a number of points. The average (arithmetic mean) rating of the expert players is 2,050 points, and the average rating of all the players is 1,900 points. If $$\frac{3}{5}$$ of the players are expert players, what is the average rating of the amateur players?
If $$y=(x-2)(x-1)(x+1)$$, which of the following graphs indicates all of the values of $$x$$ for which $$y$$ is positive?
On the first day of work for a certain task, $$\frac{1}{3}$$ of the work was completed. On the second day of work for the task, $$\frac{1}{4}$$ of the work that remained was completed. What fraction of all the work for the task remained to be completed after the second day?
In the xy-plane, a triangle has vertices $$(0, 3)$$, $$(b, 3)$$, and $$(0, 3b)$$, where $$b$$ is a constant. If the area of the triangle is $$18$$. which of the following is a possible value of $$b$$?


Which of the following is closest to the median length of the time periods, in months, during which trees produced pollen in the six regions?


For approximately what fraction of Year X was pollen produced by both grasses and weeds in the Southwest?


For Year X, which of the following is closest to the total length, in months, of the time period during which no pollen was produced by trees or grasses in any of the six regions?


The table shows values of the fucntion 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 table above shows the times, in seconds, that it took each of 5 mechanics to perform a simple task. For the 5 times shown, if the median is greater than the average (arithmetic mean), which of the following could be the value of x?

Indicate all such values.
How many of the multiples of 3 between 100 and 200 are odd integers?
The ratio of the amount of foreign aid spent in Africa to the amount spent in Russia and Eastern Europe was closest to
If United States foreign aid was approximately $$\frac{9}{10}$$ of 1 percent of the federal budget for 1994, then the federal budget was approximately how many billion dollars?
In a group of 50 students, 22 are enrolled in a psychology course, some are enrolled in a sociology course, some are enrolled in both courses, and some are not enrolled in either course.

Which of the following statements individually provide(s) sufficient additional informatioin to determine the number of students enrolled in both courses?

Indicate all such statements.
The primary purpose of the passage is to
According to the passage, which of the following is true of the collisions mentioned in the highlighted sentence?
Which of the following would have been true of the collision that the author of the passage theorizes gave rise to Earth's Moon?

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