manhattan test 1

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manhattan test 1

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Opening Exam Directions Welcome to Manhattan GMAT's simulated exam platform! This platform is designed specifically for the Internet Explorer web browser. (Other browsers may work but are not explicitly supported.) In order to ensure an optimal simulated experience, please adjust your browser window so that you can see all of the buttons on the bottom of the exam interface without needing to scroll down. You should NOT see an active vertical scroll bar on the right of your browser window. If you do see an active vertical scroll bar on the right side of your browser window, go to the VIEW menu at the top of the Internet Explorer window, then select TOOLBARS, and uncheck as many toolbars as necessary to eliminate the active vertical scroll bar. After doing this, you will no longer need to scroll down to see the buttons on the bottom of the exam interface. At the end of the exam, you may go back and re-check these toolbars to return to your normal view. If you have any questions, please contact us at techsupport@manhattangmat.com or call 800-576-GMAT (4628). Good luck practicing! Note: GMAT is a registered trademark of the Graduate Management Admission Council which neither sponsors nor endorses this test preparation service. AWA Essays In the Analytical Writing Assessment, you will be asked to write 2 essays. You will have exactly 30 minutes to write each essay. In the first essay, you are requried to analyze an argument. Your task is to critique the argument, not to present your own view on the given subject. In the second essay, you are required to analyze an issue. Your task is to present and support your particular view on the given issue. AWA ESSAYS: ANALYSIS OF AN ARGUMENT ESSAY QUESTION: The following appeared in an article in a human resources magazine: "Six months ago, in an experiment aimed at boosting worker productivity, Company Z started providing free gourmet lunches to its employees. The Company hoped that these office lunches would encourage employees to remain in the building during lunch- hour and motivate employees to work harder throughout the day. A survey found that soon after the lunch program was implemented, the average number of hours worked by most Company Z employees i ncreased dramatically. During this same period, the Company's profits also increased substantially. Thus, it is safe to say that the lunch program was a huge success and that Company Z should make the program permanent." YOUR RESPONSE: AWA ESSAYS: ANALYSIS OF AN ISSUE ESSAY QUESTION: "Although the modern information age has opened up channels of communication that never before existed, it, paradoxically, has destroyed the foundation of community by isolating individuals in a technological world that involves little real human interaction." Discuss the extent to which you agree or disagree with the position stated above. Support your viewpoint using reasons and examples from your own experience, observations, or reading. YOUR RESPONSE: Problem Solving Each Problem Solving question consists of a quantitative question and 5 answer choices. Solve the problem and select the best of the given answer choices. Note that all numbers given are real numbers. Figures are drawn as accurately as possible, except when explicitly stated otherwise. 1. How many integers are there between 51 and 107, inclusive? • 51 • 55 • 56 • 57 • 58 2. Which of the following is the second greatest? • .000008 • 8 × 10 -8 • 8 ÷ 10 5 • .0008 1000 • 88 ÷ 10 6 3. The number of passengers on a certain bus at any given time is given by the equation P = -2(S – 4) 2 + 32, where P is the number of passengers and S is the number of stops the bus has made since beginning its route. If the bus begins its route with no passengers, how many passengers will be on the bus two stops after the stop where it has its greatest number of passengers? • 32 • 30 • 24 • 14 • 0 Data Sufficiency Each Data Sufficiency question 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. In questions that ask you to find a numerical quantity, data provided in the statements are considered sufficient only if it is possible to determine exactly one numerical value for the quantity. You must answer each question by choosing from 5 Data Sufficiency answer choices: (A) Statement 1 ALONE is sufficient, but statement (2) alone is not sufficient. (B) Statement 2 ALONE is sufficient, but statement (1) alone is not sufficient. (C) BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. (D) EACH statement ALONE is sufficient. (E) Statements (1) and (2) TOGETHER are NOT sufficient. These 5 answer choices are presented (in this exact order) for every Data Sufficiency question. Note that all numbers given are real numbers. Figures are not necessarily drawn to scale. 4. At a charity fundraiser, 180 of the guests had a house both in the Hamptons and in Palm Beach. If not everyone at the fundraiser had a house in either the Hamptons or Palm Beach, what is the ratio of the number of people who had a house in Palm Beach but not in the Hamptons to the number of people who had a house in the Hamptons but not in Palm Beach? (1) One-half of the guests had a house in Palm Beach. (2) Two-thirds of the guests had a house in the Hamptons • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. • Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient. • EACH statement ALONE is sufficient. • Statements (1) and (2) TOGETHER are NOT sufficient. (1) s is even (2) p = 4t • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. • Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient. • EACH statement ALONE is sufficient. • Statements (1) and (2) TOGETHER are NOT sufficient. 5. If r, s, and t are all positive integers, what is the remainder of 2 p , if p = rst? 10 6. If 2 2x – 1 = 8 y then x in terms of y equals: • 2y – 1 • 3y + 1 2 • y - 1 2 • y + 1 2 • 3y - 1 2 7. When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters? • / 2 • • 4 • 5 • 10 8. 8 cities, including Memphis, compete in a national contest to host a political convention. Exactly one city wins the competition. What is the probability that Memphis does not win the competition? (1) The probability that any one of the 8 cities does not win the competition is 7/8. (2) The probability that Memphis wins the competition is 1/8. • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. • Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient. • EACH statement ALONE is sufficient. • Statements (1) and (2) TOGETHER are NOT sufficient. (2) ab 4 < 0 • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. • Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient. • EACH statement ALONE is sufficient. • Statements (1) and (2) TOGETHER are NOT sufficient. 10. Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, Quentin's new income would be what fraction of Sam's new income? • 11/12 • 13/17 • 13/19 • 12/19 • 11/19 a 9. Is b < 0 ? a 2 1) b 3 > 0 11. It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in 1/x hours. If machine A operates alone for y hours and is then joined by machine B until 100 decks are finished, for how long will the two machines operate simultaneously? • 100y – x x 2 + 1 • 100x – y x 2 + 1 • 100y – x 3 – x x 2 + 1 • 100y – x 2 y – y x 2 + 1 • 100x x 2 + 1 12. If 5a = 3b = 25, then 30ab = • 50 • 100 • 625 • 1000 • 1250 13. If x is an integer, is x 3 even? (1) 2x + 2 is even (2) 3x + 1 is even • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. [...]... (1) alone is not sufficient • Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient • EACH statement ALONE is sufficient • Statements (1) and (2) TOGETHER are NOT sufficient 28 A sphere is inscribed in a cube with an edge of 10 What is the shortest possible distance from one of the vertices of the cube to the surface of the sphere? • • • • • 10 ( 5 10 ( 5( 5( – 1) – 1) – 1) – 1) ... the shaded region (inside the hexagon but outside the circles)? • 10 8 – 18 • –9 • – 18 • 10 8 – 27 • – 27 2 ? 21 If r and q are integers, what is the value of (5r)(3q +1) ? (1) (5r)(3q) = 729 (2) r + q = 6 • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient • Both statements TOGETHER are sufficient,... is not sufficient • Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient • EACH statement ALONE is sufficient • Statements (1) and (2) TOGETHER are NOT sufficient 1 19 What is the average of • 8 , 3 1 and 8 1 8 • 1 4 • 1 3 • 1 2 • 1 20 Regular hexagon ABCDEF has a perimeter of 36 O is the center of the hexagon and of circle O Circles A, B, C, D, E, and F have centers at A, B,... least one event? • • • • • 3 4 5 6 7 24 400% of (1/ 2)4 = • • • • • 0.025 0.0625 0 .12 5 0.25 25 25 Which of the following equations represents a line that is perpendicular to the line described by the equation 3x + 4y = 8 ? • • • • • 3x + 4y = 18 3x – 4y = 24 4y – 3x = 26 1. 5y + 2x = 18 8x – 6y = 24 26 Is a + b > c + d ? (1) a > c (2) d < b • Statement (1) ALONE is sufficient, but statement (2) alone... (1) and (2) TOGETHER are NOT sufficient 14 If x is not equal to 0, is |x| less than 1? x x • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient • Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient • EACH statement ALONE is sufficient • Statements (1) ... sufficient • Statements (1) and (2) TOGETHER are NOT sufficient 33 8a (1/ 4)b = ? (1) b = 1. 5a (2) a = 2 • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient • Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient • EACH statement ALONE is sufficient • Statements (1) and (2) TOGETHER... ALONE is sufficient • Statements (1) and (2) TOGETHER are NOT sufficient 18 In a sequence of terms in which each term is three times the previous term, what is the fourth term? (1) The first term is 3 (2) The second to last term is 310 • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient • Both... 600 31 Which of the following is a possible length for side AB of triangle ABC if AC = 6 and BC = 9? I 3 II 9 III 13 .5 • • • • • I only II only III only II and III I, II and III a–b 32 If a is not equal to b, what is the value of a2 – b2 ? (1) a + b = 8 (2) a – b = 6 • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient • Statement (2) ALONE is sufficient, but statement (1) alone... Statements (1) and (2) TOGETHER are NOT sufficient 22 If r + s > 2t, is r > t ? (1) t > s (2) r > s • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient • Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient • EACH statement ALONE is sufficient • Statements (1) and (2) TOGETHER... to attract females 10 Before its independence in 19 47, Britain ruled India as a colony and they would relinquish power only after a long struggle by the native people • Before its independence in 19 47, Britain ruled India as a colony and they would relinquish power • Before independence in 19 47, Britain had ruled India as a colony and relinquished power • Before its independence in 19 47, India was ruled . what fraction of Sam's new income? • 11 /12 • 13 /17 • 13 /19 • 12 /19 • 11 /19 a 9. Is b < 0 ? a 2 1) b 3 > 0 11 . It takes machine A x hours to manufacture. x 2 + 1 • 10 0x – y x 2 + 1 • 10 0y – x 3 – x x 2 + 1 • 10 0y – x 2 y – y x 2 + 1 • 10 0x x 2 + 1 12 . If 5a = 3b = 25, then 30ab = • 50 • 10 0 • 625 • 10 00 • 12 50. • 10 8 – 18 • – 9 • – 18 • 10 8 – 27 • – 27 1 8 , and 1 2 ? 19 . What is the average of 3 8 21. If r and q are integers, what is the value of (5 r )(3 q +1 )?

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