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Quantity A

$$3^{-8}-3^{-9}-3^{-10}$$

Quantity B

$$3^{-9}$$


Set S consists of 8 positive integers, 3 of which are odd, and 5 of which are even.

Set T consists of all numbers of the form $$x+x^2$$, where x is a member of set S.

Quantity A

The number of even integers in set S

Quantity B

The number of even integers in set T


Event E and event F are independent. $$p$$ is the probability that event E will occur. $$q$$ is the probability that event F will occur.

Quantity A

The probability that both events E and F will occur

Quantity B

$$pq$$


List L consists of 82 consecutive odd integers.

Quantity A

The range of the integers in list L

Quantity B

164


If the average (arithmetic mean) of 4 consecutive odd integers is $$m$$, what is the greatest of these integers?
If the sum of five consecutive even integers is $$y$$, what is the least of the five integers, in terms of $$y$$?
When asked what their major staffing issues were, 42 percent of the companies in a survey said "finding competent staff" and 18 percent of the companies in the survey said “training staff." If 15 percent of the companies in the survey said that both of the issues were major staffing issues, what percent of the companies in the survey said that neither of the two issues was a major staffing issue?
What is the greatest possible percent of people surveyed who use all of the methods listed?
If 30 percent of the people surveyed use both of the methods "exercise near home or work" and "exercise outdoors", what percent of people surveyed use at least one of the two methods?
The number of people surveyed who use the method "join a health club" is what percent greater than the number who use the method"exercise with friends or family"?

_____%

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