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If P is the product of all of the 100 different numbers of the form $$\frac{m+1}{m}$$, where m is an integer and 1 ≤ m ≤ 100, which of the following statements about P is true?
Each copy of a certain textbook in a college bookstore is classified as new or used. The bookstore sells each new copy for $90 and each used copy for another fixed price. For all the copies sold last week, the total revenue from the sales of new copies was equal to the total revenue from the sales of used copies, and the average (arithmetic mean) price per copy was $60. What is the price of each used copy?

Quantity A

The area of a rectangle with a perimeter of 32

Quantity B

The area of a rectangle with a perimeter of 52


A total of $96,000 was invested for one month in a new money market account that paid simple annual interest at the rate of $$r$$ percent. If the investment earned $960 in interest for the month, what is the value of $$r$$?
A box contains 30 marbles of which 6 are red, 7 are blue, 8 are yellow, and the rest are green. Marbles are selected randomly from the box one at a time without replacement. The selection process stops as soon as 2 marbles of different colors have been selected. What is the greatest number of selections that might be needed in order to stop the process?
$$n$$ is a positive integer.

Quantity A

The remainder when $$n(n^{2}-1)$$ is divided by 6

Quantity B

1


A pound of tea makes 210 cups of tea, and a pound of coffee makes 40 cups of coffee. If, on the average, a restaurant serves 12 times as many cups of coffee as tea, what is the ratio of pounds of tea to pounds of coffee used at the restaurant?


Quantity A

y

Quantity B

1


In a local election there are 2 candidates for mayor, 4 candidates for sheriff, and 5 candidates for dogcatcher on the ballot. In each of the three categories a voter may vote for exactly one candidate or none. How many different ways can a vote fill out the ballot?
The sum of two numbers divided by 2, gives a result of 24 and their difference divided by 2 gives a result of 17. The product of these two numbers is divisible by which of the following?
In the xy-plane, which of the following values are x-intercepts of the graph of the equation $$y= \frac{x−1}{x+3}$$?

Indicate all such values.
$$0 < a < b < c$$

Quantity A

The standard deviation of the seven numbers $$-c, -b, -a, 0, a, b, c$$

Quantity B

The standard deviation of the seven numbers $$-c^{2}, -b^{2}, -a^{2}, 0, a^{2}, b^{2}, c^{2}$$




Quantity A

The standard deviation of data set Ⅰ

Quantity B

The standard deviation of data set Ⅱ


In a probability experiment, R and S are independent events such that 0 < P(R) < $$\frac{1}{2}$$ and 0 < P(S) < 1.

Quantity A

The probability that S will occur given that R has occurred

Quantity B

P(R)


Let $$k$$ be a positive integer, and let $$n$$ be a random variable whose values are the integers from 1 to $$k$$. The probability distribution of $$n$$ is defined by $$P(n)=\frac{2n-1}{d}$$, where $$d$$ is a constant.

Quantity A

$$d$$

Quantity B

$$k^2$$




A town library held a reading drive, in which 20 elementary school students were asked to record the number of books they read over the summer. Only whole numbers of books were recorded. The table above shows the results of the reading drive. The average (arithmetic mean) number of books read by the students was 2 books per student.

Which of the following statements individually provide(s) sufficient additional information to conclude that only one student read only 5 books?

Indicate all such statements.


In the figure shown, AB is parallel to EC and the length of ED is $$\frac{1}{3}$$ od the length of AD.

Quantity A

The ratio of the area of triangle ECD to the area of quadrilateral ABCE

Quantity B

$$\frac{1}{8}$$




The table above lists the rainfall, in centimeters, for June, July, and August in selected cities. Based on the information given,which of the following statements are true?

Indicate all such statements.


Quantity A

The standard deviation of the distribution of X

Quantity B

The standard deviation of the distribution of Y


In a certain corporation,an employee council will consist of 3 employees who will be selected from 20 eligible employees. If each of the 3 positions on the council has a different role on the council,then there are 6,840 possible 3-employee selections from the 20 eligible employees. How many possible 3-employee selections are there if the 3 positions all have the same role?

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