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题目内容
In a group of people, 30 people speak French, 40 speak Spanish, and $$\frac{1}{2}$$ of the people who speak Spanish do not speak French. If each person in the group speaks French, Spanish, or both, which of the following statements are true?

Indicate all such statements.
Each paperback copy of a certain book costs $5 and a hardback copy of the book costs $8. The average (arithmetic mean) cost of x paperback copies and y hardback copies is 6.

Quantity A

x

Quantity B

y
The length of line segment RS is 6. P is a point on RS, and T is a point that is not on the line through points R and S. The length of line segment PT is greater than 1 and less than 2.

Quantity A

The area of triangular region RST

Quantity B

6
n is the number of three-digit positive integers in which at least two of the digits are equal to 1.

Quantity A

n

Quantity B

29
Each of a, b, c, and d is a positive integer less than 10, and the product of a, b, c and d is 945.

Quantity A

The sum of a, b, c and d

Quantity B

24
$$a_{1}$$, $$a_{2}$$, $$a_{3}$$, ......, $$a_{n}$$......

In the sequence shown, $$a_{1}$$=6 and for each integer n greater than 1, $$a_{n}$$ is defined by

$$a_{n}$$=

2+$$a_{n-1}$$ if n is even

-8+$$a_{n-1}$$ if n is odd

Quantity A

$$a_{7}$$

Quantity B

-12
-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 $$z^{2}$$
A college student purchased textbooks in three subjects-biology, calculus, and economics. The price of the biology textbook was 25 percent less than the price of the calculus textbook and 5 percent greater than the price of the economics textbook. The price of the calculus textbook was what percent greater than the price of the economics textbook?
A certain rectangular painting is 1.5 feet high and 3 times as wide as it is high. The painting is to be framed by a wood frame that is 3 inches wide, as shown in the figure.



Which of the following is closest to the minimum number of feet of 3-inch-wide wood framing that will be needed to frame the painting? (1 foot = 12 inches)
The area of rectangular region R is 50 percent greater than the area of rectangular region S. If the length of R is 25 percent greater than the length of S, then the width of R is what percent greater than the width of S?
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?
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?


The figure above shows two circles with centers O and P. The measure of angle AOB is 60°, and the measure of angle APB is 120°. What is the ratio of the radius OA to the radius PA?
What percent of all the presidents and vice presidents are less than 50 years old?
Two organizations will be selected at random, one at a time and without replacement, from the 30 organizations. Approximately what is the probability that the age of the vice president of at least one of the two organizations will be at least 1 year greater than the age of the corresponding president?
For how many of the organizations does the age of the president exceed the age of the corresponding vice president by 15 years?


The two-sided stem-and-Ieaf plot shows the heights, in centimeters, of 20 players on Team A and 20 players on Team B. Each height is represented by a stem in the center and a leaf in the same row, according to the key. What is the median of the heights, in centimeters, of the 40 players combined?

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