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The primary purpose of the passage is to
A certain list contains exactly five numbers. The median of the numbers in the list is 7, the mode (most frequently occurring number) of the numbers in the list is 4, and the average (arithmetic mean) of the greatest and second greatest numbers in the list is 20. What is the average of the numbers in this list?
The sum of two numbers divided by 2, gives a result of 24 and their difference divided by 2 gives a result of 17. The product of these two numbers is divisible by which of the following?
Set T is the set of all numbers of the form $$\frac{1}{n(n-1)}$$, where n is an integer and 2 < n < 5.

Quantity A

The sum of all the numbers in T

Quantity B

$$\frac{1}{4}$$




In the figure, line segment RM, SM, and TM bisect the angles of △RST.

Quantity A

$$\frac{x+y}{2}$$

Quantity B

33


$$B_n=\frac{n}{n+1}$$ for all integers $$n$$ > 1.

$$C_n=B_n + B_{n-1}$$ for all integers $$n$$ > 2.

The integer $$k$$ is greater than 2.

Quantity A

$$C_k$$

Quantity B

$$\frac{2k^2-1}{k+k}$$


In a probability experiment, R and S are independent events such that 0 < P(R) < $$\frac{1}{2}$$ and 0 < P(S) < 1.

Quantity A

The probability that S will occur given that R has occurred

Quantity B

P(R)


Quantity A

The remainder when $$35^{12}+63^{17}$$ is divided by 14

Quantity B

3




The interior of the figure shown is divided into two squares and three triangles.

Quantity A

The measure of angle x

Quantity B

56




BC=DC

Quantity A

x

Quantity B

y


a < b < c < d < e

List S: a, b, c, d, e

List T: a-2, b-1, c, d+1, e+2

Quantity A

The standard deviation of the numbers in list S

Quantity B

The standard deviation of the numbers in list T


Data set Q contains 10,000 values. The median of the values is equal to the third quartile of the values.

Quantity A

The 60th percentile of the values in Q

Quantity B

The 70th percentile of the values in Q


If 30 percent of the presidents and 80 percent of the vice presidents are serving their first terms, what is the least possible number of the organizations that have both their president and corresponding vice president serving their first term?


The total number of calories from carbohydrates in a single serving of Trail Mix is approximately what percent of the total number of calories in the serving?
The advertised size of a television is the length of the diagonal of the rectangular viewing screen. For a television advertised as 42-inch, if the ratio of the lengths of the sides of the viewing screen is 16 to 9. approximately what is the area, in square inches, of the viewing screen?
In a group of 13 students, 9 are English majors and 9 are physics minors. Which of the following could be the number of students in the group who are both English majors and physics minors?
$$N$$ is a two-digit integer. The units digit of $$N^2$$ is 9.

Quantity A

The units digit of N

Quantity B

6




In the figure above, all points below the line l satisfy which of the following inequalities?


In the figure shown, AB is parallel to EC and the length of ED is $$\frac{1}{3}$$ od the length of AD.

Quantity A

The ratio of the area of triangle ECD to the area of quadrilateral ABCE

Quantity B

$$\frac{1}{8}$$


The sequence shown is defined by $$Q_1=6$$ and $$Q_{n+1}=\frac{1}{3}Q_n$$, for each positive integer n.

$$Q_1, Q_2, Q_3, ......, Q_n,.....$$

Quantity A

$$Q_{11}$$

Quantity B

$$(3^{17})Q_{28}$$


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