【正文】 ling the two presentation‐ modes apart. Readers using audio alone can safely ignore the graphical presentations, and readers using visual presentations may ignore the verbal presentations. Introduction The revised Quantitative Reasoning section contains four types of questions: Multiple‐ choice Questions — Select One Answer Choice Multiple‐ choice Questions — Select One or More Answer Choices Numeric Entry Questions Quantitative Comparison Questions Each question appears either independently as a discrete question or as part of a set of questions called a Data Interpretation set. All of the questions in a Data Interpretation set are based on the same data presented in tables, graphs, or other displays of data. Below are descriptions, directions, and samples of each type of question. Multiple‐ Choice Questions — Select One Answer Choice These questions are multiple‐ choice questions that ask you to select only one answer choice from a list of five choices. Sample Questions Directions: Select a single answer choice. Sample question 1 below is based on figure 1. Figure 1 Begin skippable figure description. Figure 1 is a circle with center diameters of the circle are drawn, dividing the circle into 4 sectors. Two nonadjacent sectors are shaded, and the central angle of one of the unshaded sectors measures 160 degrees. End skippable figure description. 1. Figure 1 above shows a circle with center C and radius 6. What is the sum of the areas of the two shaded regions? A. pi B. 6 pi C. pi D. 4 pi E. 3 pi Answer: D ( 4 pi) Sample question 2 below is based on figure 2. Figure 2 Begin skippable figure description. Figure 2 shows the graph in the x y plane of the function f of x = the absolute value of 2x, end absolute value, + 4. There are equally spaced tick marks along the x axis and along the y axis. The first tick mark to the right of the origin, and the first tick mark above the origin, are both labeled 1. The graph of the function f is in the shape of the letter V. It is above the x axis and is symmetric with respect to the y axis. The lowest point on the graph of f is the point 0 ma 4 on the y axis. Going leftward from the point 0 ma 4 the graph of fis a line that slants upward, passing through the point negative 2 ma 8. Going rightward from the point 0 ma 4 the graph of f is a line that slants upward, passing through the point 2 ma 8. End skippable figure description. 2. Figure 2 above shows the graph of a function f, defined by f of x = the absolute value of 2x, end absolute value, + 4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f? A. g of x = x minus 2 B. g of x = x + 3 C. g of x = 2x minus 2 D. g of x = 2x + 3 E. g of x = 3x minus 2 Answer: E ( g of x = 3x minus 2) Multiple‐ Choice Questions — Select One or More Answer Choices These questions are multiple‐ choice questions that ask you to select one or more answer choices from a list of choices. A question may or may not specify the number of choices to select. Sample Questions Directions: Select one or more answer choices according to the specific question directions. If the question does not specify how many answer choices to select, select all that apply. The correct answer may be just one of the choices or may be as many as all of the choices, depending on the question. No credit is given unless you select all of the correct choices and no others. If the question specifies how many answer choices to select, select exactly that number of choices. 1. Each employee of a certain pany is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and is $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees in the pany? Indicate all such amounts. A. $26,000 B. $28,000 C. $29,000 D. $30,000 E. $31,000 F. $32,000 G. $34,000 Answer: A ($26,000) and B ($28,000) 2. If f, g, and h are positive integers, f is a factor of g, and g is a factor of h, which of the following statements must be true? Indicate all such statements. A. f is a factor of g squared. B. f is a factor of gh. C. f is a factor of h minus g. Answer: A (f is a factor of g squared), B (f is a factor of gh.), and C (f is a factor of h minus g) Numeric Entry Questions Questions of this type ask you either to enter the answer as an integer or a decimal in a single answer box or to enter it as a fraction in two separate boxes — one for the numerator and one for the denominator. In the puter‐ administered test, the puter mouse and keyboard are used to enter the answer. Sample Questions Directions: Enter your answer in the answer box(es) below the question. Equivalent forms of the correct answer, such as and , are all correct. Fractions do not need to be reduced to lowest terms. Enter the exact answer unless the question asks you to round your answer. 1. If x = 10 to the power negative 1, what is the value of open parenthesis, x + the fraction 1 over x, close parenthesis, times, open parenthesis, 1 over x, close parenthesis? Answer Box Answer: 101 2. A university admitted 100 students who transferred from other institutions. Of these students, 34 transferred from two‐ year munity colleges, 25 transferred from private four‐ year institutions, and the rest transferred from public four‐ year institutions. If two different students are to be selected at random from the 100 students, what is the probability that both students selected will be students who transferred from two‐ year munity colleges? Give your answer as a fraction. Fraction answer boxes