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题目内容
Which of the following double inequalities involving $$\sqrt[3]{0.8}$$ is true?
A college professor took attendance for the first 10 days of a class last semester. The professor noticed that Sarah attended class on 8 of those days, Andrew attended class on 7 of those days, Jeff attended class on 6 of those days, and on only 1 of those days did all three students attend class. On how many of the 10 days did at least two of the three students attend class?

_____days

Quantity A

The remainder when $$754$$,$$975$$,$$376$$ is divided by $$4$$

Quantity B

The remainder when $$701$$,$$864$$,$$294$$ is divided by $$4$$
List K consists of 9 positive integers. In list K, the range of the integers is 20, the mode of the integers is 3, and the median of the integers is 7.

Quantity A

The average (arithmetic mean) of the integers in list K

Quantity B

13
A traveler purchased a gift item at a store in Country D, paying only the cost of the item with no taxes or other charges. The traveler paid with 100 United States dollars and received back the correct change in the amount of 203 units of Country D's currency, based on the currency exchange rate that day.

Which of the following statements individually provide(s) sufficient additional information to determine the cost of the item, in United States dollars?

Indicate all such statements.
If a < b, which of the following must be true?
The probability that each toss of a certain coin will result in heads is $$0.5$$. If the probability that $$n$$ tosses of the coin will each result in heads is greater than $$0.0002$$, what is the greatest possible value of $$n$$?
$$x$$, $$y$$, and $$z$$ are negative numbers.

Quantity A

$$x+y+z$$

Quantity B

$$\frac{1}{x+y+z}$$
In the $$xy$$-plane, line $$k$$ has a positive slope and intersects the line $$y=4-x$$ at a point with $$x$$-coordinate $$3$$. Which of the following values could be the y-intercept of $$k$$?

Indicate all such values.
Energy usage for ventilation is included in the "other" category. Annual commercial energy usage for ventilation is 27 percent of annual commercial energy usage in the "other" category. Approximately what percent of all annual commercial energy usage is for ventilation?
If the total amount residential energy usage for water heating and refrigeration combined is r energy units, then the total annual residential energy usage for the remaining six categories combined is how many energy units?
Based on the information give, which of the following statements must be true?

Indicate all such statements.
At a certain high school, 90 percent of seniors who take physics also take calculus and 60 percent of seniors who take calculus also take physics. If 30 percent of seniors at the school take physics, what percent of seniors take calculus?


The graphs above show the distribution of men, women, and children who visited a certain zoo in 2008 and 2009. Which of the following statements must be true?

Indicate all such statements.


The graph above shows the distribution of tickets sold at a local movie theater last Saturday, by type of ticket.

Which of the following statements individually provide(s) sufficient additional information to determine the total number of tickets sold at the theater last Saturday?

Indicate all such statements.


Of the employees in the 2001 workforce who were hired in 1997, 40 percent were hired to fill positions in a new subdivision of Company I. Approximately how many of the employees in the 2001 workforce were hired in 1997 to fill positions in the new subdivision?


If the ratio of the number of employees in the 2001 workforce who were hired in 1996 to the total number of employees hired in 1996 was 2 to 3, approximately what was the total number of employees hired in 1996?


In the 2001 workforce, the average (arithmetic mean) salary of the employees hired prior to 1999 was $39,900, and the average salary of the employees hired in 1999 and 2000 was $30,100. Which of the following is closest to the average salary of all employees in the 2001 workforce?
The average (arithmetic mean) monthly sales at a certain company for the past $$k$$ months was $$m$$ dollars. Which of the following expressions represents the sales, in dollars, for the current month if the average monthly sales for the $$k+1$$ months will be $$10$$ percent greater than the average monthly sales for the $$k$$ months?
Let n be an integer greater than 3. If the remainder is 1 when n is divided by 3, then $$n^{2} + n - 2$$ must be a multiple of what two-digit integer?

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