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A scientist conducted an experiment and collected three measurements. Each measurement was an integer. The range of the three measurements was 2 and the least value was 1. Which of the following values could be the average (arithmetic mean) of the measurements collected for the experiment?

Indicate all such values.
Last month 200 students, including Jim and Joseph, took a certain test. Jim' s score on the test was 96, which was at the 86th percentile of the 200 scores on the test. Joseph' score on the test was 89, which was at the $$n$$ th percentile of the 200 scores on the test.

Quantity A

$$n$$

Quantity B

$$79$$


If the surface area of a cube is 96, what is its volume?
A list of data values was divided into three smaller lists, where list A contains one-half of the data values, list B contains one-fifth of the data values, and list C contains the rest. The average (arithmetic mean) of the data values in list A is 12, the average of the data values in list B is 15, and the average of the data values in list $$C$$ is 6. What is the average of all of the data values in the original list?
If $$x+y=1$$ and $$xy \neq 0$$, then $$\frac{1}{x}$$+ $$\frac{1}{y}$$=


Three machines, A, B, and C, will work on three different kinds of tasks, respectively, over an 8-hour period. Each machine will work continuously for a constant time per task, as shown in the table, without stopping between consecutive tasks. If the three machines start working on their tasks simultaneously at the beginning of the 8-hour period, how many times during the 8-hour period will all three machines complete a task simultaneously?
$$r=4+\frac{k}{d+500}$$

When a certain lending business loans an amount of $$d$$ dollars for one year, it charges interest equal to $$r$$ percent of the amount of the loan so that the interest rate $$r$$ and the amount $$d$$ are related by the formula shown, where $$k$$ is a constant. When the business loans 1,000 dollars for one year, the interest rate is 4.40 percent. When the business loaned an amount of money to Charles for one year, the interest rate was 4.12 percent. Approximately what was the total amount, including interest, that Charles had to repay the business for the loan?


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.
The price of $$s$$ scarves is $$d$$ dollars. At this rate, what is the price of $$s+2,600$$ scarves, in dollars?
If $$x$$ and $$y$$ are positive integers and $$xy=36$$, then $$(x+y)^2$$ CANNOT be
$$(x+h)(x+j)=x^2+kx+12$$ In the equation above, $$h$$, $$j$$, and $$k$$ are constants. If $$h$$ and $$j$$ are integers, which of the following could be the value of $$k$$?
Indicate all such values.
In a sequence of integers, the first 4 terms are odd integers and each term after the $$4^{th}$$ term is the sum of the previous 4 terms. How many of the first 100 terms are even integers?
A child-care center has a supply of bicycles, each with 2 wheels, and tricycles, each with 3 wheels, for the children to use. The number of bicycles in the supply is odd, and the total number of wheels on all the bicycles and tricycles is 31. Which of the following could be the total number of bicycles and tricycles in the supply?

Indicate all such numbers.


Points A,B,C, D, and E are on the circle with center O, and $$AE=BC=CD$$. The area of triangular region BCD is $$x$$, and the area of triangular region AOE is $$y$$.

Quantity A

$$\frac{x}{y}$$

Quantity B

$$2$$


Of all the applicants for jobs at a certain company last year, $$\frac{1}{3}$$ received a first interview. Of the applicants who received a first interview, $$\frac{1}{4}$$ received a second interview, The applicants who received no interview or only a first interview were not hired. Of the applicants who received a second interview, $$\frac{1}{5}$$ were hired and the rest were not hired. The applicants who received at least one interview and were not hired were what fraction of all the applicants for the jobs?
It can be inferred from the passage that a rise in the recycled content of industrial production
It can be inferred that which of the following approaches to preservation would be unacceptable to “some archivists" but acceptable to the "archivists with a contrary view" as the two groups' positions are described in the passage?
The answer to which of the following questions would be most relevant to an evaluation of the argument?
Which of the following is an assumption on which the argument relies?
Given the point of view expressed in the passage, the author would be most likely to agree with which of the following statements about photographic portraiture?

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