Time: 75 Minutes

37 Questions

General Directions: Your score on the quantitative section will be based on how well you do on the questions presented and on the number of questions you answer. You should try to pace yourself so that you have sufficient time to consider every question. If possible, answer all 37 questions in this section and guess if necessary. Select the best answer choice for each question. Use a blank sheet of paper to record your answers. Use scratch paper for any necessary calculations.

Note: Some problems may be accompanied by figures or diagrams. These figures are drawn as accurately as possible except when it is stated in a specific problem that the figure is not drawn to scale. The figure is meant to provide information useful in solving the problem. Unless otherwise stated or indicated, all figures lie in a plane and angle measures are greater than zero. All numbers used are real numbers.

Data Sufficiency Directions: Each of the data sufficiency questions below consists of a question and two statements, labeled (1) and (2), in which certain data are given. You must decide whether the data given in the statements are sufficient to answer the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), choose the best answer choice.

           A.     Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

            B.     Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

            C.     BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

           D.     EACH statement ALONE is sufficient to answer the question asked.

            E.     Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Problem Solving Directions: Answer each problem-solving question in this section by using the information given and your own mathematical calculations. Then select the correct answer of the five choices given.