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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


x is the radius of a circular region with circumference 14$$\pi$$, and y is the radius of a circular region with area 16$$\pi$$.

Quantity A

x

Quantity B

y


An amount of 10,000 dollars invested for one year at y percent simple annual interest will earn m dollars in interest, where m > 0. An amount of x dollars invested for one year at 2y percent simple annual interest will earn $$\frac{m}{2}$$ dollars in interest.

Quantity A

x

Quantity B

5,000


When the positive integer n is divided by 3, the remainder is 2, and when n is divided by 7, the remainder is 5.

Quantity A

n

Quantity B

29


Quantity A

The length of the fourth side of a quadrilateral if the length of each of the other three sides is 3

Quantity B

3


n is the greatest integer for which $$252^{5}$$ is divisible by $$ 6^{n} $$.

Quantity A

n

Quantity B

10


In a group of 50 students, 15 students enjoy board games and 20 students enjoy video games. Which of the following could be the number of students who enjoy both board games and video games?

Indicate all such numbers.
Machines G and H cut sheets of plastic into pieces that are used in car manufacturing. Working alone at its constant rate, machine G cuts 10 sheets of plastic in 8 minutes. Working alone at its constant rate, machine H cuts 20 sheets of plastic in 24 minutes. How many minutes does it take machines G and H, working simultaneously at their respective constant rates, to cut a total of 30 sheets of plastic?
List L consists of 50 different values. The average (arithmetic mean) of the values in L is 10. List K is created by adding 3 to each value in L. List G is created by multiplying each value in K by 4 and then subtracting 12 from each product. How much greater is the average of the values in G than the average of the values in L?
If $$x^{2}$$=b and $$ y^{2}$$=q, where x and y are greater than 0, which of the following is equal to $$(x+y)^{2}$$?
The standard deviation of m numerical data $$ x_{1}, x_{2}, x_{3}, ..., x_{n}$$, With mean $$\bar{x}$$ is equal to $$\sqrt{\frac{S}{n}}$$, where S is the sum of the squared differences $$(x_{i}-\tilde{x})^{2}$$, for 1 ≤ i ≤ n.

On a certain examination, 7 students received scores of 85, 90, 70, 90, 75, 90, and 95. For the 7 scores, the mode was approximately how many standard deviations above the mean?


A square with sides of length 12 is partitioned into three regions, two of which are triangles and one of which is a trapezoid, as shown in the figure. One base of the trapezoid is a diagonal of the square, and the other base of the trapezoid connects the midpoints of two adjacent sides of the square. Which of the following is closest to the height of the trapezoid?
The maximum depth of water in Lake Superior is approximately how many times the maximum depth of water in Lake Erie?
If the surface area of Lake Huron were estimated by computing the area of a circular region with a 200-mile diameter, this area would overestimate the actual surface area of Lake Huron by approximately what percent?
If the sum of six consecutive odd integers is 252, what is the least of the six integers?
If a is a positive integer and x ≠ 0, which of the following expressions are equivalent to the expression $$x^{-3a}$$?

Indicate all such expressions.
x, y, and z are positive integers and x+y=z.

Quantity A

The average (arithmetic mean) of x, y, and z

Quantity B

$$\frac{z}{2}$$




After her graduation, Elena attended her class reunion once every year. The first reunion she attended was in year F and the last was in year L.

Quantity A

The number of reunions Elena attended

Quantity B

L-F


In the xy-plane, the center of a circle is (4, 0) and the area of the circle is 36π. The point (s, 0) is on the circle, where s > 0.

Quantity A

s

Quantity B

10


0 < x < y < z

Quantity A

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

Quantity B

$$\frac{y}{z}$$


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