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The average (arithmetic mean) of 6 different positive integers is 12, and x is the greatest of these integers. What is the greatest possible value of $$x$$?

Quantity A

The number of different positive odd factors of 10

Quantity B

The number of different positive even factors of 10


When the integer $$n$$ is divided by 33, the remainder is 18. Which of the following must be a divisor of $$n$$?
Bank $$X$$ calculates a customer satisfaction index for the Web site after the redesign. Responses of "very satisfied" are each assigned a value of 3, responses of "somewhat satisfied" are each assigned a value of 2, responses of "somewhat dissatisfied" are each assigned a value of 1, and responses of “very dissatisfied" are each assigned a value of 0. The customer satisfaction index is the average (arithmetic mean) of the values. Which of the following is closest to the customer satisfaction index for the Web site after the redesign?
One of the 200 customers is to be selected at random. What is the probability that the customer will be one who was very satisfied with the Web site after the redesign and whose favorite feature was easy transfers?
The number of customers who were very satisfied with the Web site after the redesign is approximately what percent greater than the number of customers who were very satisfied with the Web site before the redesign? Give your answer to the nearest whole percent.
Let a represent the increase from 1992 to 1999 in the total value of public and private construction, let b represent the corresponding increase from 1999 to 2006, and let c represent the corresponding increase from 2006 to 2013. Which of the following statements is true?
In 2013 the value of construction for highways was approximately how much greater than the value of construction for industrial buildings?
Of the following pairs of types of construction in 2013, where the first type is a public type and the second type is a private type, which pair had dollar values that were closest to each other?
The average (arithmetic mean) of 6 different positive integers is 12, and $$x$$ is the greatest of these integers. What is the greatest possible value of $$x$$?
When the integer $$n$$ is divided by 33, the remainder is 18. Which of the following must be a divisor of $$n$$?
When the integer $$n$$ is divided by 36, the remainder is 15. Which of the following must be a divisor of $$n$$?
If $$M=(3,875)^2+(5,843)^3$$, then the units digit of $$M$$ is
For a certain television show, $$\frac{1}{4}$$ of each $$\frac{1}{2}$$ hour episode is taken up by commercials. What is the total number of hours in a 24-episode season of the show that are not taken up by commercials?
Each time a certain coin is tossed, the coin lands either heads up or tails up, and the probability that the coin will land heads up is equal to the probability that the coin will land tails up. $$N$$ is the greatest number of consecutive tosses of the coin for which the coin will land head up on every toss is greater than $$0.01$$.

Quantity A

$$N$$

Quantity B

$$6$$


When filled to capacity, canisters I, II, and III hold $$R$$, $$S$$ and $$T$$ pounds of sugar, respectively. Currently, canister I is $$\frac{5}{8}$$ full of sugar, canister II is $$\frac{1}{4}$$ full of sugar, and canister III is empty. If the sugar in canisters I and II is poured into canister III, canister III will be $$\frac{3}{4}$$ full. Which of the following expresses $$T$$ in terms of $$R$$ and $$S$$?
An art supply store will cut a rectangular mat to be used for a picture frame. The outside width of the mat will be from 9 inches to 12 inches, and the outside length of the mat will be from 10 inches to 15 inches. Which of the following could be the ratio of the outside width to the outside length of the mat? Indicate all such ratios.
$$\frac{3}{a} - \frac{b}{14}$$ =$$\frac{1}{7}$$ and $$\frac{a}{15}=\frac{2}{b}$$ If a and b satisfy the equations above, what is the value of $$\frac{a}{b}$$?

Give your answer as a fraction. $$\frac{a}{b}$$=_________

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