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题目内容
P, Q, and R are three points in a plane that are not all on the same line. Which of the following describes the set of all points in the plane that are equally distant from points P, Q and R?
All of the 80 science students at a certain school are enrolled in at least one of three science courses: biology, chemistry, and physics. There are 60 students enrolled in biology, 50 students enrolled in chemistry, and 35 students enrolled in physics. None of the students are enrolled in all three courses. Which of the following could be the number of students enrolled in both chemistry and physics?
Indicate all such numbers.
Professor Lopez is teaching three different courses with an average (arithmetic mean) enrollment of 32 students per course. If 5 students are taking two of these courses, 3 other students are taking all three courses, and all of the others are taking only one of the courses, what is the total number of different students enrolled in the three courses?
Sequence $$S$$: $$a_{1}, a_{2}, a_{3},......,a_{n}$$........

In sequence $$S$$, $$a_{1}$$ is an integer and $$a_{n}=2a_{n-1}$$ for all integers n greater than 1. If no term of sequence S is a multiple of 100, which of the following could be the value of $$a_{1}$$?

Indicate all such values.
On a bookshelf, Pat arranges 7 different books: 2 history books, 3 philosophy books, and 2 science books. If Pat arranges the books so that the history books are next to each other, the science books are next to each other, and the philosophy books are next to each other, how many different arrangements are possible?


In the sum above, if X and Y each denote one of the digits from 0 to 9, inclusive, then X=?

Quantity A

The tens digit of

($$4^{100}$$)($$5^{99}$$)

Quantity B

The tens digit of

($$4^{100}$$)($$5^{101}$$)
N copies of a certain health magazine cost a total of $64.

R copies of a certain news magazine cost a total of $80.

Quantity A

The ratio of the cost of 1 of the health magazines to the cost of 1 of the news magazines

Quantity B

$$\frac{4}{5}$$
In a certain university, 60 percent of all sophomores are liberal arts majors, 24 percent are education majors, and the rest are majoring in other subjects or have not yet chosen a major. At the university, 55 percent of all sophomores are currently taking a psychology course. If x percent of all sophomores are liberal arts majors who are currently taking a psychology course, what is the least possible value of x?
On May 5, 2004, the closing price of Stock A was $60.00, which was a decrease of 8 percent from the closing price of the stock on the previous day, May 4, 2004. On May 6, 2004, the closing price of the stock was exactly the same as the closing price on May 4, 2004. What was the percent increase in the closing price of the stock from May 5, 2004 to May 6, 2004?

Give your answer to the nearest whole percent.

_____%
Three variables, x, y, and z, in a scientific experiment are related by the equation $$z=x^{2}y$$. In the experiment, if the value of x decreases by 40 percent while the value of y increases by 50 percent, what is the percent decrease in the value of z?
The total revenue that firm P receives from the sale of a particular item is determined by multiplying the number of the items it sells by the price of the item. If the price of the item is to be decreased by 20 percent, by what percent must the number of the items sold increase to keep the total revenue unchanged?
One day in 1997 at a gas station in the United States near the border of Canada, gasoline was selling for $1.20 per gallon (United States dollars). On that day, 1 United States dollar could be exchanged for 1.25 Canadian dollars. If gasoline was being sold at an equivalent rate at a gas station across the border in Canada, which of the following calculations gives an approximate price, in Canadian dollars, for a liter of gasoline at the Canadian gas station that day? (1 gallon is approximately 3.785 liters.)
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?
x ≠ 0

$$(a+\frac{1}{a})^{2}$$=5

Quantity A

$$a^{2}$$+$$(\frac{1}{a})^{2}$$

Quantity B

3
Which of the following is an odd integer?
The function f is defined by f(x) = $$2^{-x^{2}}$$ for all integers x. Which of the following could be the value of f(x)?

Indicate all such values.
($$2.82*10^{-51}$$) - ($$3.96*10^{-49}$$)=
An apartment building contains 60 apartments. Of the apartments in the building,$$\frac{3}{5}$$ have one bedroom and the rest have 2 or 3 bedrooms. If the 60 apartments have a total of 94 bedrooms, how many of the apartments have 3 bedrooms?
A customer purchased n items at Store F. If 5 of the n items cost $7 each and the remaining items cost $9 each, then in terms of n, what was the total cost, in dollars, of the items purchased by the customer at Store F?

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