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Data sets X and Y each consist of 4 values, as shown in the table. If the range of dataset X is 21, what is the range of dataset Y?
How many values of x are there such that x is an integer and |3x- 2| < 8?
Amy and Jed are armong the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number of people in front of Amy plus the number of people behind Jed is 24. If there are 15 people behind Amy, including Jed, how many people are in front of Jed?
n is a positive integer.

Quantity A

The remainder when $$3^{4n}$$ is divided by 10

Quantity B

1






The table shows the number of pages in each of 5 textbooks. What is the greatest possible value of x for which the average (arithmetic mean) number of pages of the 5 textbooks is equal to the median number of pages of the 5 textbooks?
Which of the following is most nearly equal to $$\frac{2.5*10^{6}}{2.5*10^{6} - 3.5*10^{-6}}$$?


Quantity A

The number of points in the plane that are equidistant from all the three lines k, m, and p

Quantity B

3






List L consists of 5 different positive integers. If the average (arithmetic mean) of the integers in the list is 8, what is the greatest possible integer that could appear in list L?


Point Q (not shown) is on the number line between -2 and -1. Point R (not shown) is on the number line between 0 and 1. Point S (not shown) is on the number line between 3 and 4

Quantity A

QR

Quantity B

RS




List P consists of the 5 numbers $$3^{n}$$, $$3^{n+1}$$, $$3^{n+2}$$, $$3^{n+3}$$, $$3^{n+4}$$ are five numbers, where n is a positive integer.

Quantity A

The average (arithmetic mean) of the numbers in P

Quantity B

The median of the numbers in P




y > 1,001

Quantity A

$$\sqrt[3]{y}$$

Quantity B

$$\frac{y}{100}$$






The parabola in the xy-plane above is the graph of the equation $$y = ax^{2}$$ + bx+ c, where a, b, and c are constants. Which of the following statements must be true?

Indicate all such statements.
A rectangular floor will be completely covered with square tiles, each of which has sides of length 6 inches. If tiles are laid side by side with no space between them and no tiles are cut, then the number of tiles needed to cover the floor is 1,080. Which of the following could be the dimensions of the floor? (Note12 inches=1 foot.)

In the figure above, a square is inscribed in a circle, if the area of shaded region is 5π, what is the area of the square?
A restaurant has a total of 16 tables, each of which can seat a maximum of 4 people. If 50 people were sitting at the tables in the restaurant, with no tables empty, what is the greatest possible number of tables that could be occupied by just 1 person?
k is a positive integer greater than 1

Quantity A

The remainder when $$k^{2}$$-k is divided by 2

Quantity B

0




If the sum of the degree measures of the interior angles of regular polygon P is 360 degrees more than that of regular polygon Q, then P has how many more sides than Q?

Quantity A

The perimeter of ABCD

Quantity B

The sum of the lengths of diagonals AC and BD






The tick marks shown on the number line are evenly spaced. Points D and E have coordinates of $$4^{10}$$ and $$4^{11}$$, respectively. The point that has a coordinate of $$4^{9}$$ is?
The operation ▼ is defined by $$ n^{▼}=(n-1)^{2} $$ for all numbers n.

Quantity A

$$ \frac{(a+1)^{▼}}{a^{2}}$$

Quantity B

1


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