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How many two-digit positive integers are equal to the product of two different prime numbers greater than 2?
A certain sign is in the shape of a regular octagon where the distance between any two opposite sides is 79 centimeters. Approximately what is the perimeter, in centimeters, of the sign?
The sequence shown is defined by $$Q_1=6$$ and $$Q_{n+1}=\frac{1}{3}Q_n$$, for each positive integer n.

$$Q_1, Q_2, Q_3, ......, Q_n,.....$$

Quantity A

$$Q_{11}$$

Quantity B

$$(3^{17})Q_{28}$$


List S: 21, 22, 23, 25, 27, 32

List T: 221, 222, 223, 225, 227, 232

The standard deviation of the numbers in list S is x. In terms of x, what is the standard deviation of the numbers in list T?
List R: 2, 4, 7, 10, 12

List T: 2, 5, 7, 9, 12

Quantity A

The standard deviation of the numbers in list R

Quantity B

The standard deviation of the numbers in list T


Set A: {20, 30, 40, 50, 60}

Set B: {20, 35, 40, 45, 60}

Quantity A

The standard deviation of the 5 numbers in set A

Quantity B

The standard deviation of the 5 numbers in set B




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.
The letters R, W, S, T, M, and P are to be arranged from left to right in a sequence such that each of the 6 letters occurs exactly once. For example, PMRSTW is one such sequence. Of all possible sequences of this type, how many have S as the left-most letter and T as the right-most letter?
How many different four-digit integers contain each of the four digits 3, 4, 5, and 6 exactly once?
A dinner menu offers 8 different entrees and 6 different vegetables. How many different combinations of 1 entrée and 2 different vegetables are possible?
Of the 7 guests at a party, 3 are close friends of the host and 4 are acquaintances of the host. At the end of the party,the host will randomly select 2 different guests to win prizes. What is the probability that both of the prizewinners will be among the 3 close friends of the host?
For all bookstores in 1996, approximately what was the average (arithmetic mean) book sales per store?
In 1996, companies G, H, and K owned a total of 110 bookstores. If beginning in the first half of 1997, these three companies were to purchase a total of 15 of the remaining 1996 bookstores every half year, what is the first year in which all of the 1996 bookstores would be owned by these three companies?
If the total annual booksales in 1992 was $50.0 million and if this total increased by at least $1.0 million annually from 1992 to 1996, what was the greatest possible annual increase in this total from 1992 to 1996?
A monument is constructed on level ground in the shape of a pyramid with a square base. If each edge of the monument is 10 meters long, how many meters above the ground is the tip of the monument?
Positive integers m and k are to be chosen such that $$\frac{m}{5} < k < \frac{m}{3}$$

Quantity A

The least possible value of k

Quantity B

1


An applicant for a certain job will take a skills test. An applicant who scores 80 percent

Quantity A

The probability that an applicant who scores less than 80 percent on the test will be hired

Quantity B

0.35


The average (arithmetic mean) of integers from 1 to n, inclusive, is 12.

Quantity A

n

Quantity B

24


Quantity A

The average (arithmetic mean) of the positive odd integers less than or equal to 50

Quantity B

The average (arithmetic mean) of the positive even integers less than or equal to 50


A number is to be randomly selected from the numbers that are factors of 48, including 1 and 48. What is the probability that the number selected will be a multiple of 3?

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