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$$r$$ is a positive integer.

Quantity A

The remainder when the product $$(r+1)(r+2)(r+3)$$ is divided by $$5$$

Quantity B

$$1$$


The closing price of a stock on a certain day was p dollars. For the next 8 consecutive trading days, the closing price changed as follows. For the 1st, 3rd, 5th, and 7th days, the closing price of the stock was 10 percent less than its closing price on the preceding day. For the 2nd, 4th, 6th, and 8th days, the closing price of the stock was 10 percent greater than its closing price on the preceding day. Which of the following represents the closing price, in dollars, of the stock on the 8th day?
Evan, lrene, and Juanita collected glass bottles for recycling. Evan collected twice as many bottles as lrene, and Juanita collected more bottles than the total number of bottles collected by Evan and lrene. lf Juanita collected 60 bottles, which of the following could be the number of bottles Evan collected?

Indicate all such numbers.


The table above shows four categories of methods of transportation to work, including the category None for people who work at home. For each category and for the years 2000 and 2010, the table shows the percent of workers in a certain city who used that method most of the time during the year. Based on the information given, which of the following statements must be true?

Indicate all such statements.
Organizations F and G have 20,000 and 30,000 members, respectively. The combined membership of the two organizations is 45,000. If one member of organization F is to be randomly selected, what is the probability that the member selected will also be a member of organization G?
List S consists of all multiples of 3 that are positive and have two digits and all multiples of 5 that are positive and have two digits. What is the range of the numbers in list S?
A list consists of 25 different positive integers that are ordered from least to greatest. The average (arithmetic mean) of the integers in the list is 75, and the average of the first 12 integers in the list is 50.

Quantity A

The average of the last 12 integers in the list

Quantity B

100


A rectangular coordinate grid was created to represent the location of three campsites in a certain flat region. The centers of the three campsites are located at the points (0, 0), (0, 600), and (450, 300) on the grid, where 1 unit on each axis represents 1 meter. The center of a water fountain in the region is equidistant from the centers of the three campsites. What point on the grid represents the location of the center of the water fountain?
The number 50 can be expressed as the sum of different prime numbers; for example, as a sum of four different prime numbers: 3+7+17+23=50.

Quantity A

The least possible number of different prime numbers whose sum is 50

Quantity B

$$3$$


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 $$n$$?
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.

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