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If a person is randomly chosen from Country M, approximately what is the probability that the person will have one of the two most common of the eight blood types?
In region $$R_3$$, for how many of the eight blood types are there fewer than 100,000 people with that blood type?
Approximately how many people who live in region $$R_4$$ have blood type B-Rh+?
If the sum of two numbers is 9, what is the greatest possible value of the product of the two numbers?
In the xy-plane, line segment RS is a side of a square. The coordinates of R are (2, 10) and the coordinates of the midpoint of RS are (7, 12). Which of the following CANNOT be the coordinates of a vertex of the square?
In the xy-plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.
In the four quarters of 2013, denoted by Q1, Q2, Q3 and Q4, Company C hired the same number of employees in Q2 as in Q1 and twice as many employees in Q3 as in Q2. The number of employees hired by the company in Q4 was greater than the number of hired in Q3; however, the number hired in Q4 was also less than 3 times the number hired in Q3. All of the employees were hired only once. If an employee is to be selected at random from all the employees hired during the four quarters, which of the following values could be the probability that the employee will be one who was hired in Q4?

Indicate all such values.


In the sum above, if X and Y each denote one of the digits from 0 to 9, inclusive, then X+Y=?


In the sum above, if X and Y each denote one of the digits from 0 to 9, inclusive, then X=?
In the decimal number 1,375.2648, which digit has a place value that is 1,000 times the place value of the digit 6?
$$n \gt 10,000$$

Quantity A

The thousands digit of $$\frac{n}{8}$$

Quantity B

$$7$$


If the units digit of a two-digit integer n is 5, while then tens digit is k, then which of the following could express the result when the square of n is divided by 25?
If a two-digit number that has x as the tens digit and y as the units digit is multiplied by 5, then the value of the product is
N is an integer between 200 and 300, with tens digit x and units digit 5.

Quantity A

$$\frac{N}{5}$$

Quantity B

40+2x


x and y are integers such that $$0 \lt y \lt x$$.

H=100x+10x+4

G=100y+10y+2

M=(H-G)(H+G)

Quantity A

The units digit of M

Quantity B

2


x and y are positive integers, and x=10y+2

Quantity A

The value of the tens digit of x

Quantity B

The value of the units digit of y


In each round of a certain game, either 1, 3, 7, or 10 points are awarded to the winner of the round. Which of the following CANNOT be the total number of points awarded to the winner of three rounds?
Several teams will play in a tournament. Each game in the tournament will be played by two teams, where one team will win or the teams will tie. Each team will earn 3 points for each win, 1 point for each tie, and 0 points for each loss. If a team plays only four games in the tournament, which of the following could be the total number of points that the team will earn in the tournament?

Indicate all such numbers.
Carlene played in two chess tournaments, each consisting of a number of chess games, and she played more games in the second tournament than in the first tournament. In each tournament, she won at least one game and won twice as many games as she lost. She scored 1 point for each game she won, 0 points for each game she lost, and $$\frac{1}{2}$$ point for each game she neither won nor lost.

Quantity A

Carlene's total score in the first tournament divided by the number of games she played in that tournament

Quantity B

Carlene's total score in the second tournament divided by the number of games she played in that tournament


For each value x in a list of values with mean m, the absolute deviation of x from the mean is defined as |x-m|. Let Q consists of 5 positive integers greater than 10, and the mean of the integers is 20.

Which of the following statements individually provide(s) sufficient additional information to determine, for the integers in Q, the sum of the absolute deviation from the mean?

Indicate all such statements.

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