Wiley the official guide for GMAT Episode 1 Part 5 pptx

159 5.3 Problem Solving Sample Questions A B C E D x˚ y˚ Note: Figure not drawn to scale. 48. In the fi gure above, if AB || CE, CE = DE, and y = 45, then x = (A) 45 (B) 60 (C) 67.5 (D) 112.5 (E) 135 49. How many integers n are there such that 1 < 5n + 5 < 25 ? (A) Five (B) Four (C) Three (D) Two (E) One 50. If y is an integer, then the least possible value of |23 – 5y| is (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 51. = (A) 98 (B) 49 (C) 28 (D) 21 (E) 14 52. In a certain population, there are 3 times as many people aged 21 or under as there are people over 21. The ratio of those 21 or under to the total population is (A) 1 to 2 (B) 1 to 3 (C) 1 to 4 (D) 2 to 3 (E) 3 to 4 (2x)° (3x)° (y +30)° 53. In the figure above, the value of y is (A) 6 (B) 12 (C) 24 (D) 36 (E) 42 54. 80 + 125 = (A) 9 5 (B) 20 5 (C) 41 5 (D) 205 (E) 100 55. Kelly and Chris packed several boxes with books. If Chris packed 60 percent of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number of boxes Chris packed? (A) 1 to 6 (B) 1 to 4 (C) 2 to 5 (D) 3 to 5 (E) 2 to 3 08_449745-ch05.indd 15908_449745-ch05.indd 159 2/23/09 10:32:58 AM2/23/09 10:32:58 AM The Offi cial Guide for GMAT ® Review 12th Edition 160 56. Of the following, which is the closest approximation of 50.2 × 0.49 199.8 ? (A) 1 10 (B) 1 8 (C) 1 4 (D) 5 4 (E) 25 2 57. The average (arithmetic mean) of 10, 30, and 50 is 5 more than the average of 20, 40, and (A) 15 (B) 25 (C) 35 (D) 45 (E) 55 y = kx + 3 58. In the equation above, k is a constant. If y = 17 when x = 2, what is the value of y when x = 4 ? (A) 34 (B) 31 (C) 14 (D) 11 (E) 7 59. Each week, Harry is paid x dollars per hour for the fi rst 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per hour for the fi rst 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week? (A) 35 (B) 36 (C) 37 (D) 38 (E) 39 60. A glass was fi lled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period? (A) 0.002% (B) 0.02% (C) 0.2% (D) 2% (E) 20% 61. A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container? (A) 3.00 (B) 5.00 (C) 5.50 (D) 6.50 (E) 6.75 Q R S P 140 º 2y º x º 62. In the figure above, if PQRS is a parallelogram, then y – x = (A) 30 (B) 35 (C) 40 (D) 70 (E) 100 08_449745-ch05.indd 16008_449745-ch05.indd 160 2/23/09 10:32:59 AM2/23/09 10:32:59 AM 161 5.3 Problem Solving Sample Questions 63. If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 2 miles? (A) 10 3 (B) 3 (C) 6 5 (D) 1 3 (E) 3 10 64. Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today? (A) $10,350 (B) $10,395 (C) $10,500 (D) $11,500 (E) $12,705 65. A certain fruit stand sold apples for $0.70 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase? (A) 10 (B) 11 (C) 12 (D) 13 (E) 14 66. At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of fi rst graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of fi rst graders to the number of third graders? (A) 16 to 15 (B) 9 to 5 (C) 5 to 16 (D) 5 to 4 (E) 4 to 5 A = {2, 3, 4, 5} B = {4, 5, 6, 7, 8} 67. Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9 ? (A) 0.15 (B) 0.20 (C) 0.25 (D) 0.30 (E) 0.33 68. At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula N = where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a 1 2 -mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile) (A) 155 (B) 96 (C) 80 (D) 48 (E) 24 08_449745-ch05.indd 16108_449745-ch05.indd 161 2/23/09 10:32:59 AM2/23/09 10:32:59 AM The Offi cial Guide for GMAT ® Review 12th Edition 162 400,000 300,000 200,000 100,000 0 number of shipments 1990 1992 1994 1996 1998 2000 year NUMBER OF SHIPMENTS OF MANUFACTURED HOMES IN THE UNITED STATES, 1990–2000 69. According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive? (A) 250,000 (B) 280,000 (C) 310,000 (D) 325,000 (E) 340,000 70. If y x y 35 2 − ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ = and y ≠ 0, then x = (A) 2 3 (B) 5 3 (C) 7 3 (D) 1 (E) 4 71. If x + 5 > 2 and x – 3 < 7, the value of x must be between which of the following pairs of numbers? (A) –3 and 10 (B) –3 and 4 (C) 2 and 7 (D) 3 and 4 (E) 3 and 10 72. A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class? (A) 20 (B) 24 (C) 36 (D) 48 (E) 96 73. If r = 0.345, s = (0.345) 2 , and t = 0 345. , which of the following is the correct ordering of r, s, and t ? (A) r < s < t (B) r < t < s (C) s < t < r (D) s < r < t (E) t < r < s 74. A total of n trucks and cars are parked in a lot. If the number of cars is 1 4 the number of trucks, and 2 3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot? (A) 1 6 n (B) 5 12 n (C) n (D) 8 15 n (E) 11 12 n 75. At least 2 3 of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greatest number of members who could vote against the resolution and still have it pass? (A) 19 (B) 17 (C) 16 (D) 14 (E) 13 08_449745-ch05.indd 16208_449745-ch05.indd 162 2/23/09 10:32:59 AM2/23/09 10:32:59 AM 163 5.3 Problem Solving Sample Questions 76. In the Johnsons’ monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food? (A) $900 (B) $720 (C) $675 (D) $450 (E) $225 77. There are 4 more women than men on Centerville’s board of education. If there are 10 members on the board, how many are women? (A) 3 (B) 4 (C) 6 (D) 7 (E) 8 78. Leona bought a 1-year, $10,000 certificate of deposit that paid interest at an annual rate of 8 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity? (A) $10,464 (B) $ 864 (C) $ 816 (D) $ 800 (E) $ 480 79. 0 0036 2 8 0 04 0 1 0 003 ()() ()()( ) = (A) 840.0 (B) 84.0 (C) 8.4 (D) 0.84 (E) 0.084 80. Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts? (A) 22 (B) 25 (C) 28 (D) 32 (E) 56 Amount of Bacteria Present Time Amount 1:00 P .M. 10.0 grams 4:00 P.M. x grams 7:00 P.M. 14.4 grams 81. Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M. ? (A) 12.0 (B) 12.1 (C) 12.2 (D) 12.3 (E) 12.4 82. If n is an integer greater than 6, which of the following must be divisible by 3 ? (A) n(n + 1)(n – 4) (B) n(n + 2)(n – 1) (C) n(n + 3)(n – 5) (D) n(n + 4)(n – 2) (E) n(n + 5)(n – 6) 83. The total cost for Company X to produce a batch of tools is $10,000 plus $3 per tool. Each tool sells for $8. The gross profi t earned from producing and selling these tools is the total income from sales minus the total production cost. If a batch of 20,000 tools is produced and sold, then Company X’s gross profi t per tool is (A) $3.00 (B) $3.75 (C) $4.50 (D) $5.00 (E) $5.50 08_449745-ch05.indd 16308_449745-ch05.indd 163 2/23/09 10:33:00 AM2/23/09 10:33:00 AM The Offi cial Guide for GMAT ® Review 12th Edition 164 84. A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold? (A) 3q 200 (B) 3q 2 (C) 150q (D) q 100 + 50 (E) 150 q 85. In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 560. What is the sum of the last 5 integers in the sequence? (A) 585 (B) 580 (C) 575 (D) 570 (E) 565 86. Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes? (A) 30 (B) 25 (C) 20 (D) 15 (E) 7.5 87. A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal (A) 16 (B) 32 (C) 41 (D) 54 (E) 68 88. In the xy-coordinate system, if (a,b) and (a + 3,b + k) are two points on the line defined by the equation x = 3y – 7, then k = (A) 9 (B) 3 (C) 7 3 (D) 1 (E) 1 3 89. If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is in terms of t ? (A) (B) (C) (D) (E) 90. If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake’s present weight, in pounds? (A) 131 (B) 135 (C) 139 (D) 147 (E) 188 08_449745-ch05.indd 16408_449745-ch05.indd 164 2/23/09 10:33:00 AM2/23/09 10:33:00 AM 165 5.3 Problem Solving Sample Questions 91. A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $38.00, and on Tuesday the store sold 20 maps and 15 books for a total of $60.00. At this store, how much less does a map sell for than a book? (A) $ 0.25 (B) $ 0.50 (C) $ 0.75 (D) $ 1.00 (E) $ 1.25 92. A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales? (A) 2% (B) 17% (C) 20% (D) 65% (E) 83% List I: 3, 6, 8, 19 List II: x, 3, 6, 8, 19 93. If the median of the numbers in list I above is equal to the median of the numbers in list II above, what is the value of x ? (A) 6 (B) 7 (C) 8 (D) 9 (E) 10 94. In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ? (A) 50% (B) 53% (C) 54% (D) 55% (E) 57% 95. 1 2 2 3 3 8 4 9 16 +× ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ ÷ ⎡ ⎣ ⎢ ⎤ ⎦ ⎥ −= (A) 29 16 (B) 19 16 (C) 15 16 (D) 9 13 (E) 0 96. Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 144 grams of water? (A) 16 (B) 72 (C) 112 (D) 128 (E) 142 97. If and , then xx x x x ()210 1 2 230+= + ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ − () = = (A) –3 (B) – 1 2 (C) 0 (D) 1 2 (E) 3 2 08_449745-ch05.indd 16508_449745-ch05.indd 165 2/23/09 10:33:00 AM2/23/09 10:33:00 AM The Offi cial Guide for GMAT ® Review 12th Edition 166 98. On a scale that measures the intensity of a certain phenomenon, a reading of n + 1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3 ? (A) 5 (B) 50 (C) 10 5 (D) 5 10 (E) 8 10 – 3 10 99. For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8, the mean is how much greater than the median? (A) 0 (B) 1 (C) n + 1 (D) n + 2 (E) n + 3 100. If T = 5 9 (K – 32), and if T = 290, then K = (A) 1,738 9 (B) 322 (C) 490 (D) 554 (E) 2,898 5 101. The water from one outlet, flowing at a constant rate, can fill a swimming pool in 9 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 5 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool? (A) 0.22 (B) 0.31 (C) 2.50 (D) 3.21 (E) 4.56 102. If a square mirror has a 20-inch diagonal, what is the approximate perimeter of the mirror, in inches? (A) 40 (B) 60 (C) 80 (D) 100 (E) 120 103. The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers? (A) 5 (B) 8 (C) 10 (D) 12 (E) 15 104. What is the smallest integer n for which 25 n > 5 12 ? (A) 6 (B) 7 (C) 8 (D) 9 (E) 10 105. Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer? (A) 0.10 (B) 0.15 (C) 0.27 (D) 0.33 (E) 0.45 08_449745-ch05.indd 16608_449745-ch05.indd 166 2/23/09 10:33:00 AM2/23/09 10:33:00 AM 167 5.3 Problem Solving Sample Questions 106. When positive integer x is divided by positive integer y, the remainder is 9. If x y = 96.12, what is the value of y ? (A) 96 (B) 75 (C) 48 (D) 25 (E) 12 107. If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2 i 3 k 5 m 7 p , then i + k + m + p = (A) 4 (B) 7 (C) 8 (D) 11 (E) 12 108. If t = 1 25 93 × is expressed as a terminating decimal, how many zeros will t have between the decimal point and the fi rst nonzero digit to the right of the decimal point? (A) Three (B) Four (C) Five (D) Six (E) Nine 109. A pharmaceutical company received $3 million in royalties on the fi rst $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the fi rst $20 million in sales to the next $108 million in sales? (A) 8% (B) 15% (C) 45% (D) 52% (E) 56% 110. If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3 k is a factor of p ? (A) 10 (B) 12 (C) 14 (D) 16 (E) 18 111. If candy bars that regularly sell for $0.40 each are on sale at two for $0.75, what is the percent reduction in the price of two such candy bars purchased at the sale price? (A) 2 1 2 % (B) 6 1 4 % (C) 6 2 3 % (D) 8% (E) 12 1 2 % 112. If and , what is in terms of s r s sr s>=0 ? (A) 1 s (B) s (C) ss (D) s 3 (E) s 2 – s 08_449745-ch05.indd 16708_449745-ch05.indd 167 2/23/09 10:33:00 AM2/23/09 10:33:00 AM The Offi cial Guide for GMAT ® Review 12th Edition 168 6 ft. 8 ft. 113. The front of a 6-foot-by-8-foot rectangular door has brass rectangular trim, as indicated by the shading in the figure above. If the trim is uniformly 1 foot wide, what fraction of the door’s front surface is covered by the trim? (A) 13 48 (B) 5 12 (C) 1 2 (D) 7 12 (E) 5 8 114. If a = –0.3, which of the following is true? (A) a < a 2 < a 3 (B) a < a 3 < a 2 (C) a 2 < a < a 3 (D) a 2 < a 3 < a (E) a 3 < a < a 2 115. Mary’s income is 60 percent more than Tim’s income, and Tim’s income is 40 percent less than Juan’s income. What percent of Juan’s income is Mary’s income? (A) 124% (B) 120% (C) 96% (D) 80% (E) 64% City A City B City C City D City E City A • • • • City B • • • City C • • City D • City E 116. Each • in the mileage table above represents an entry indicating the distance between a pair of the five cities. If the table were extended to represent the distances between all pairs of 30 cities and each distance were to be represented by only one entry, how many entries would the table then have? (A) 60 (B) 435 (C) 450 (D) 465 (E) 900 117. If n is positive, which of the following is equal to 1 1nn+ − ? (A) 1 (B) 21n+ (C) n n +1 (D) nn+ −1 (E) nn++1 118. The ratio of the length to the width of a rectangular advertising display is approximately 3.3 to 2. If the width of the display is 8 meters, what is the approximate length of the display, in meters? (A) 7 (B) 1 1 (C) 13 (D) 16 (E) 26 08_449745-ch05.indd 16808_449745-ch05.indd 168 2/23/09 10:33:01 AM2/23/09 10:33:01 AM [...]... C 59 D 89 D 11 9 D 30 18 6 A B 60 D 90 E 12 0 C 5. 4 Problem Solving Answer Key 12 1 C 15 1 B 18 1 A 211 A 12 2 E 15 2 E 18 2 A 212 B 12 3 B 15 3 D 18 3 C 213 D 12 4 B 15 4 B 18 4 D 214 E 12 5 E 15 5 D 18 5 C 2 15 C 12 6 C 15 6 D 18 6 C 216 B 12 7 A 15 7 B 18 7 A 217 D 12 8 A 15 8 E 18 8 E 218 D 12 9 D 15 9 D 18 9 B 219 E 13 0 E 16 0 D 19 0 E 220 B 13 1 E 16 1 E 19 1 C 2 21 D 13 2 D 16 2 B 19 2 E 222 C 13 3 E 16 3 E 19 3 D 223 B 13 4 B 16 4 D 19 4... 99 B 10 D 40 C 70 C 10 0 D 11 E 41 A 71 A 10 1 D 12 A 42 E 72 B 10 2 B 13 C 43 B 73 D 10 3 E 14 A 44 D 74 D 10 4 B 15 B 45 B 75 E 10 5 C 16 D 46 C 76 D 10 6 B 17 D 47 C 77 D 10 7 D 18 E 48 C 78 C 10 8 B 19 E 49 B 79 A 10 9 C 20 A 50 B 80 B 11 0 C 21 B 51 C 81 A 11 1 B 22 A 52 E 82 A 11 2 D 23 B 53 E 83 C 11 3 D 24 D 54 A 84 A 11 4 B 25 E 55 E 85 A 11 5 C 26 B 56 B 86 A 11 6 B 27 E 57 A 87 E 11 7 E 28 B 58 B 88 D 11 8 C... 13 5 C 16 5 A 19 5 C 2 25 D 13 6 A 16 6 D 19 6 D 226 A 13 7 E 16 7 E 19 7 B 227 A 13 8 E 16 8 E 19 8 C 228 D 13 9 B 16 9 C 19 9 D 229 14 0 D 17 0 A 200 A 230 C 14 1 C 17 1 E 2 01 B 14 2 E 17 2 C 202 E 14 3 A 17 3 E 203 C 14 4 C 17 4 D 204 E 14 5 C 17 5 D 2 05 B 14 6 C 17 6 C 206 E 14 7 A 17 7 A 207 E 14 8 D 17 8 C 208 A 14 9 E 17 9 E 209 D 15 0 A 18 0 B 210 C B 18 7 The Official Guide for GMAT Review 12 th Edition 5. 5 Answer Explanations The. .. packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package Which method is cheaper, and how much money is saved? (E) 290 12 .5 2 95 12 2 85 12 2 85 12 .5 2 95 12 .5 and and and and and 11 .5 2 85 11 .5 2 95 12 2 95 11 .5 2 85 11 .5 5 –4 –3 –2 1 0 1 2 3 4 5 x 13 0 Which of the following inequalities is an algebraic expression for the shaded part of the number line above? (A)... of 5, 8, 12 , and 15 is equal to the sum of 3, 4, x, and x + 3, what is the value of x ? A 10 0 + 1 1 01 = = 10 1 1 1 Integer (A) 14 B 15 10 0 + 2 10 2 = = 51 2 2 Integer (B) (C) 16 C 17 10 0 + 3 10 3 = = 34.333 3 3 NOT an integer (D) (E) 2 18 D 10 0 + 4 10 4 = = 26 4 4 Integer E 10 0 + 5 10 5 = = 21 5 5 Integer Algebra First-degree equations Convert the words into symbols and solve the equation: 18 8 5. 5 Problem... Therefore, the only possible remainders when a prime number n greater than 3 is divided by 6 are 1 and 5 Thus, n has the form 6q + 1 or 6q + 5, where q is an integer, and, therefore, n2 has the form 36q2 + 12 q + 1 = 12 (3q2 + q) + 1 or 36q2 + 60q + 25 = 12 (3q2 + 5q + 2) + 1 In either case, n2 has a remainder of 1 when divided by 12 = = 1 12 The correct answer is D y 5 5 V The correct answer is B 24 1 1+ 1 3... following gives all the different lengths of the pieces, in fractions of a yard? (A) (B) 50 to 13 0 (D) 224 If n is a positive integer, then n(n + 1) (n + 2) is 11 0 to 15 0 (C) (D) (E) 222 If 5 – 6 = x, then x has how many possible values? 1 6 1 4 and and 1 4 1 3 only only 1 1 1 , , and 6 4 3 1 , 1 12 6 1 , 1 12 6 , and , and 1 4 1 3 x (A) None 226 If 0.0 0 15 × 10 m 0.03 × 10 k (B) Two (A) (D) A finite number greater... (D) 50 (A) 39 51 (B) 40 (E) (C) 14 2 If y is the smallest positive integer such that 3 , 15 0 multiplied by y is the square of an integer, then y must be (A) 2 (B) 5 (C) 6 (D) 7 (E) 14 42 (D) 45 (E) 46 .5 14 6 In a certain sequence, the term xn is given by the 1 formula xn = 2xn – 1 – (xn – 2) for all n ≥ 2 If x0 = 3 and 2 x1 = 2, what is the value of x3 ? (A) 2 .5 (B) 3 .12 5 (C) 5 (E) 17 2 4 (D) 6. 75 5.3 Problem... days? (D) (A) 13 (B) 13 (C) 15 (D) 15 (E) 16 (E) Arithmetic Probability There are 250 integers from 10 1 to 350 inclusive, 10 0 of which (that is, 200 through 299) have a hundreds digit of 2 Therefore, the probability that a ticket selected from the box at random 19 1 The Official Guide for GMAT Review 12 th Edition Arithmetic Statistics 17 sum of values , number of values the information about the two shipments... Q, and R are to be integers that satisfy the inequalities –4 ≤ x ≤ 5 and 6 ≤ y ≤ 16 How many different triangles with these properties could be constructed? (A) 11 0 (B) 1, 100 (C) 9,900 (D) 10 ,000 (E) 12 ,10 0 18 5 The Official Guide for GMAT Review 12 th Edition 5. 4 Answer Key 1 31 B 61 E 91 B 2 B 32 B 62 A 92 C 3 C 33 C 63 A 93 B 4 E 34 A 64 B 94 B 5 C 35 B 65 B 95 E 6 C 36 A 66 E 96 D 7 B 37 A 67 B 97 . between (A) 290 12 .5 and 290 11 .5 (B) 2 95 12 and 2 85 11 .5 (C) 2 85 12 and 2 95 12 (D) 2 85 12 .5 and 2 95 11 .5 (E) 2 95 12 .5 and 2 85 11 .5 x 12 34 1 2–4 5 –3 5 0 13 0. Which of the following. 16 108_4497 45- ch 05. indd 16 1 2/23/09 10 :32 :59 AM2/23/09 10 :32 :59 AM The Offi cial Guide for GMAT ® Review 12 th Edition 16 2 400,000 300,000 200,000 10 0,000 0 number of shipments 19 90 19 92 19 94 19 96 19 98. –9 (B) –3 (C) – 1 9 (D) 1 9 (E) 9 08_4497 45- ch 05. indd 17 50 8_4497 45- ch 05. indd 17 5 2/23/09 10 :33:02 AM2/23/09 10 :33:02 AM The Offi cial Guide for GMAT ® Review 12 th Edition 17 6 16 5. Lois has x dollars