Practice Test 2 ANALYTICAL WRITING ASSESSMENT Analysis of an Issue 1 QUESTION • 30 MINUTES Directions: Using a word processor, compose a response to the following statement and directive. Do not use any spell-checking or grammar-checking functions. “No business should sacrifice the quality of its products or services for the sake of maximizing profits.” Discuss the extent to which you agree or disagree with the foregoing statement. Support your perspective using reasons and/or examples from your experience, observation, reading, or academic studies. practice test 2 423 Analysis of an Argument 1 QUESTION • 30 MINUTES Directions: Using a word processor, compose an essay for the following argument and directive. Do not use any spell-checking or grammar-checking functions. The following is excerpted from an editorial appearing in a local newspaper: “In order to prevent a decline of Oak City’s property values and in rents that Oak City property owners can command, the residents of Oak City must speak out against the approval of a new four-year private college in their town. After all, in the nearby town of Mapleton the average rent for apartments has decreased by ten percent since its new community college opened last year, while the average value of Mapleton’s single-family homes has declined by an even greater percentage over the same time period.” Discuss how well reasoned you find this argument. In your discussion be sure to analyze the line of reasoning and the use of evidence in the argument. For example, you may need to consider what questionable assumptions underlie the thinking and what alternative explanations or counterexamples might weaken the conclusion. You can also discuss what sort of evidence would strengthen or refute the argument, what changes in the argument would make it more logically sound, and what, if anything, would help you better evaluate its conclusion. 424 PART VI: Five Practice Tests www.petersons.com QUANTITATIVE SECTION 37 QUESTIONS • 75 MINUTES Directions for Problem Solving Questions: (These directions will appear on your screen before your first Problem Solving question.) Solve this problem and indicate the best of the answer choices given. Numbers: All numbers used are real numbers. Figures: A figure accompanying a Problem Solving question is intended to provide infor- mation useful in solving the problem. Figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. Straight lines may sometimes appear jagged. All figures lie on a plane unless otherwise indicated. To review these directions for subsequent questions of this type, click on HELP. Directions for Data Sufficiency Questions: (These directions will appear on your screen before your first Data Sufficiency question.) This Data Sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering 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), you must indicate whether: (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. Numbers: All numbers used are real numbers. Figures: A figure accompanying a Data Sufficiency problem will conform to the information given in the question, but will not necessarily conform to the additional information in statements (1) and (2). Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straight. You may assume that positions of points, angles, regions, etc., exist in the order shown and that angle measures are greater than zero. All figures lie in a plane unless otherwise indicated. Note: In Data Sufficiency problems that ask you for the value of a quantity, the data given in the statements are sufficient only when it is possible to determine exactly one numerical value for the quantity. To review these directions for subsequent questions of this type, click on HELP. practice test Practice Test 2 425 www.petersons.com 1. What is the sum of = 0.49, 3 4 , and 80%? (A) 0.425 (B) 1.59 (C) 1.62 (D) 2.04 (E) 2.25 2. If the value of XYZ Company stock drops from $25 per share to $21 per share, what is the percent of de- crease? (A) 4 (B) 8 (C) 12 (D) 16 (E) 20 3. How many buses are required to transport 175 students to the museum? (1) No two buses have the same carrying capacity. (2) The average capacity of a bus is 55 students. 4. The storage capacity of disk drive A is 85% that of disk drive B. What percentage of drive B’s storage capacity is currently used? (1) Disk drive B holds 3 more gigabytes than disk drive A. (2) 8.5 gigabytes of disk drive B’s storage capacity is currently used. 5. Eight square window panes of equal size are to be pieced together to form a rectangular French door. What is the perimeter of the door, excluding fram- ing between and around the panes? (1) The area of each pane is 1 square foot. (2) The area of the door, excluding framing between and around the panes, is 8 square feet. 6. The denominator of a certain fraction is twice as great as the numerator. If 4 were added to both the numerator and denominator, the new fraction would be 5 8 . What is the denominator of the fraction? (A) 3 (B) 6 (C) 9 (D) 12 (E) 13 7. If 0.2t 5 2.2 2 0.6s and 0.5s 5 0.2t 1 1.1, then s 5 (A) 1 (B) 3 (C) 10 (D) 11 (E) 30 QUESTIONS 8–9 REFER TO THE FOLLOWING GRAPH: 8. By approximately how many square feet does the size of Unit A exceed that of Unit C? (A) 9000 (B) 11,000 (C) 12,600 (D) 15,500 (E) 19,000 426 PART VI: Five Practice Tests www.petersons.com 9. The combined area of Unit B and Unit D is approximately (A) 51,000 square feet. (B) 57,500 square feet. (C) 70,000 square feet. (D) 74,500 square feet. (E) 108,000 square feet. 10. Carrie’s current age is 24 years greater than her son Benjamin’s age. In 8 years, Carrie’s age will be twice Benjamin’s age at that time. What is Carrie’s current age? (A) 32 (B) 40 (C) 48 (D) 52 (E) 66 11. In the figure above, if the length of DC is 12, what is the area of ABCD? (A) 99 (B) 108 (C) 112 (D) 120 (E) 50 = 3 12. = 3 81x 7 = 9x 4 2 = 162x 5 = 3 27x 6 5 (A) 3x 3 2 1 3 (B) = 3 2x 2 3 (C) = 3 3x 2 3 = 2x (D) 3x 2 2 = 2 (E) 9x 2 = 3 13. If the average (arithmetic mean) of the first sixteen positive integers is subtracted from the average (arith- metic mean) of the next sixteen positive integers, what is the result? (A) 0 (B) 16 (C) 32 (D) 64 (E) 128 14. If a . b, and if c . d, then (A) a 2 b . c 2 d (B) a 2 c . b 2 d (C) c 1 d , a 2 b (D) a 2 c , b 1 d (E) b 1 d , a 1 c 15. A closed cardboard box is to be designed for packing the cylindrical tube shown above. Will the entire tube fit inside the box? (1) The empty box contains 3 cubic feet. (2) The total surface area of the box is 14 square feet. practice test Practice Test 2 427 www.petersons.com 16. If x and y are negative integers, and if x 2 y 5 1, what is the least possible value of xy? (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 17. A certain jar contains 20 jellybeans; each jellybean is either black, pink, or yellow. Does the jar contain more pink jellybeans than yellow jellybeans? (1) The jar contains more black jellybeans than pink jellybeans. (2) The jar contains 6 pink jellybeans. 18. Is the value of a 2 2 b 2 greater than the value of (3a 1 3b)(2a 2 2b)? (1) b , a (2) a ,21 19. If b x c 5 (x 1 2) 2 (x 1 1) 2 (x 2 1) 2 (x 2 2), what is the value of b 2100 c 2 b 100 c? (A) 2196 (B) 21 (C) 0 (D) 6 (E) 400 20. In the figure above, if PQRS is a rectangle, and if the length of QR is 12, is PQRS a square? (1) The length of SQ is 12 = 2. (2) The length of PS is 12. 21. If a computer dealer bought a particular computer system for $10,000 and sold the computer system to a customer, how much did the cus- tomer pay for the computer system? (1) The dealer’s profit from the sale was 50%. (2) The amount that the dealer paid for the computer system was two-thirds the amount that the customer paid for the computer system. 22. Which of the following distribution of numbers has the greatest standard deviation? (A) {23, 1, 2} (B) {22, 21, 1, 2} (C) {3,5,7} (D) {21, 2, 3, 4} (E) {0,2,4} 428 PART VI: Five Practice Tests www.petersons.com 23. Patrons at a certain restaurant can select two of three appetizers—fruit, soup, and salad—along with two of three vegetables—carrots, squash, and peas. What is the statistical probability that any patron will select fruit, salad, squash, and peas? (A) 1 12 (B) 1 9 (C) 1 6 (D) 1 3 (E) 1 2 24. If bin A contains exactly twice as many potatoes as bin B, and if bin A contains exactly 11 more potatoes than bin C, does bin B contain more potatoes than bin C? (1) The difference between the number of potatoes in bin A and the number in bin C is greater than the number of potatoes in bin B. (2) If one potato were added to bin A and to bin C,binA would contain exactly twice as many potatoes as bin C. 25. One of two ropes equal in length is cut into three segments to form the largest possible triangular area. The other rope is cut into four segments to form the largest possible rectangu- lar area. Which of the following most closely approximates the ratio of the triangle’s area to the rectangle’s area? (A) 1:2 (B) 2:3 (C) 3:4 (D) 1:1 (E) 4:3 26. Code letters X, Y, and Z each represent one digit in the three-digit prime number XYZ. If neither X nor Y is an odd integer, what is the number represented by XYZ ? (1) The sum of the three digits is 7. (2) X 2 Y . 2 27. If abcd Þ 0, and if 0 , c , b , a , 1, is it true that a 4 bc d 2 , 1? (1) a 5 = d (2) d . 0 28. If x . 0, and if x 1 3 is a multiple of 3, which of the following is not a multiple of 3? (A) x (B) x 1 6 (C) 3x 1 5 (D) 2x 1 6 (E) 6x 1 18 29. If one dollar can buy m pieces of paper, how many dollars are needed to buy p reams of paper? (Note: 1 ream 5 500 pieces of paper.) (A) p 500m (B) m 500p (C) 500 p 1 m (D) 500p m (E) 500m(p 2 m) practice test Practice Test 2 429 www.petersons.com QUESTIONS 30–31 REFER TO THE FOLLOWING CHART: 30. At the end of September, the com- bined share price of Ardent stock and Biofirm stock exceeded the share price of Compuwin stock by approxi- mately (A) 20% (B) 35% (C) 50% (D) 100% (E) 150% 31. During which of the following months did the aggregate share price of stock in all three companies change the LEAST? (A) July (B) August (C) October (D) November (E) December 32. On the xy-plane above, if the equa- tion of l 1 is y5 1 2 x and if point B is defined by the xy-coordinate pair (5,0), what is the area of DOAB ? (A) 4 (B) 3 = 2 (C) 2 = 5 (D) 5 (E) 7 33. In a group of 30 students, 18 are enrolled in an English class and 16 are enrolled in an Algebra class. How many students are enrolled in both an English and Algebra class? (1) 20 are enrolled in exactly one of these two classes. (2) 3 are not enrolled in either of these classes. 34. Total revenue from the sale of adult and student tickets was $180. If twice as many student tickets as adult tickets were sold, and if 27 tickets were sold altogether, what was the total revenue from the sale of student tickets? (1) The price of each adult ticket was $10. (2) The price of each student ticket was 50% of the price of each adult ticket. 430 PART VI: Five Practice Tests www.petersons.com 35. If a, b, c, and d are integers, is the sum of ab and cd an odd integer? (1) a and c are both even integers. (2) b is an even integer and d is an odd integer. 36. As shown in the figure above, from runway 1, airplanes must turn either 120° to the right onto runway 2 or 135° to the left onto runway 3. Which of the following does NOT indicate a complete turn from one runway to another? (A) 30° (B) 55° (C) 60° (D) 75° (E) 105° 37. A legislature passed a bill into law by a 5:3 margin. No legislator abstained. What part of the votes cast were cast in favor of the motion? (A) 3 8 (B) 2 5 (C) 8 15 (D) 3 5 (E) 5 8 practice test Practice Test 2 431 www.petersons.com VERBAL SECTION 41 QUESTIONS • 75 MINUTES Directions for Sentence Correction Questions: (These directions will appear on your screen before your first Sentence Correction question.) This question presents a sentence, all or part of which is underlined. Beneath the sentence you will find five ways of phrasing the underlined part. The first of these repeats the original; the other four are different. If you think the original is best, choose the first answer; otherwise choose one of the others. This question tests correctness and effectiveness of expression. In choosing your answer, follow the requirements of Standard Written English; that is, pay attention to grammar, choice of words, and sentence construction. Choose the answer that produces the most effective sentence; this answer should be clear and exact, without awkwardness, ambiguity, redundancy, or grammatical error. Directions for Critical Reasoning Questions: (These directions will appear on your screen before your first Critical Reasoning question.) For this question, select the best of the answer choices given. Directions for Reading Comprehension Questions: (These directions will appear on your screen before your first group of Reading Comprehension questions.) The questions in this group are based on the content of a passage. After reading the passage, choose the best answer to each question. Answer all the questions following the passage on the basis of what is stated or implied in the passage. 1. Either interest rates or the supply of money can, along with the level of government spending, be factors contributing to the amount of monetary inflation. (A) can, along with the level of government spending, be factors contributing to (B) along with the level of govern- ment spending, can one or the other be contributing factors in (C) can, along with the level of gov- ernment spending, contribute as factors to (D) can be a contributing factor to, along with the level of govern- ment spending (E) can contribute, along with the level of government spending, to 2. During his prolific career, Beethoven composed dozens of symphonies, out of which he never completed some of them. (A) out of which he never completed some of them (B) of which some of them were never completed by him (C) which some he never completed (D) some of which he never com- pleted (E) but some were not completed by him 432 PART VI: Five Practice Tests www.petersons.com . question.) This question presents a sentence, all or part of which is underlined. Beneath the sentence you will find five ways of phrasing the underlined part. The first of these repeats the original;. more logically sound, and what, if anything, would help you better evaluate its conclusion. 424 PART VI: Five Practice Tests www.petersons.com QUANTITATIVE SECTION 37 QUESTIONS • 75 MINUTES Directions. size of Unit A exceed that of Unit C? (A) 9000 (B) 11,000 (C) 12,600 (D) 15,500 (E) 19,000 426 PART VI: Five Practice Tests www.petersons.com 9. The combined area of Unit B and Unit D is