MATH 1113 Precalculus FINAL EXAM REVIEW Directions: This is a final exam review which covers all of the topics of the course. Please use this as a guide to assist you in your studies. Question: 1 QID: 758 1 7 , 13 , 12 12 12 1 5 7 , , 12 12 12 1, 2, 3 1 − Question: 2 QID: 1535 5 11 , , 12 12 12 Ship A is 5.28 nautical miles from port. At the port, the angle between ship A and ship B is 42°. At ship A, the angle between the port and ship B is 63°. At ship B, the angle between the port and ship A is 75°. Question: 3 the distance between the port and ship A the distance between the port and ship B the distance between ship A and ship B the average distance each ship is from port QID: 1601 Which of these ratios defines the cosine function? None of the above Question: 4 QID: 1665 Given the triangle below, find the missing length and compute the cosecant of angle H. None of the above Question: 5 QID: 1753 Which equation could be used to find the height of the lighthouse? None of the above Question: 6 QID: 1768 What is the domain of the inverse tangent function? Question: 7 QID: 1783 Any real number Use your calculator to evaluate y = tan−1 (4.65). Use degree mode, and give your answer to three decimal places. Question: 8 QID: 1794 Question: 9 QID: 1809 Question: 10 QID: 1847 Question: 11 QID: 1873 0.813° 77.863° No such number exists. 1.359° A blue boat and a red boat are on the same side of a lake and are 18 miles apart. The blue boat is 30 miles from a lighthouse on the opposite side of the lake. The angle formed by the boats and the lighthouse, and whose vertex is at the blue boat, measures 120°. Find the distance from the red boat to the lighthouse. Question: 12 QID: 1889 What is the area of a triangle with sides measuring 26 inches, 26 inches, and 17 inches? Question: 13 26.2 miles 42 miles 18.6 miles 38.7 miles 35.6 in2 208.9 in2 629.7 in2 2575.8 in2 QID: 2453 1,808 I 0 563,135,147 I 0 7,500 I 0 31,622,776 I 0 None of the above Question: 14 QID: 2460 1998 2011 1993 1948 None of the above Question: 15 QID: 2509 Write the equation of a line in slope-intercept form that passes through y = 4x + 15 . y = 2x + 7 None of the above Question: 16 QID: 2544 Question: 17 QID: 2610 30° 60° None of the above Question: 18 QID: 2755 8.96 5.49 22.56 0.11 None of the above Question: 19 QID: 2849 None of the above Question: 20 QID: 2950 2 −2 None of the above Question: 21 QID: 3704 The inverse does not exist. Question: 22 QID: 5205 Which of the following functions will have the same graph as w (x) = 3x+2? Question: 23 QID: 5214 a (x) = 9x b (x) = 9 . 3x c (x) = 3x + 2 d (x) = 3x + 2 None of the above $2,000 $2,035 $87,500 $89,500 None of the above A company has a fixed cost of $2000 when it is producing. Each item that it makes has its own cost of $35. How much will it cost the company to produce 2500 of these items? Question: 24 QID: 9279 (x − 4)2 + (y − 2)2 = 3 (x + 4)2 + (y + 2)2 = 3 (x + 4)2 + (y + 2)2 = 9 (x − 2)2 + (y − 4)2 = 9 None of the above Question: 25 QID: 9313 4 Find the distance between the centers of the two circles whose equations are and . None of the above Question: 26 QID: 9327 Question: 27 QID: 9340 Which of the following points is an x-intercept of the function ? Question: 28 (0, 1) (0, 4) (3, 80) (2, 0) None of the above QID: 9356 At what values of x, if any, does the following graph pass the vertical line test for functions? Question: 29 QID: 9359 Which of the following statements is true regarding the graph below? Question: 30 QID: 9393 The graph is a function because it passes the vertical line test. The graph is not a function because it is undefined at x = 0. The graph is not a function because it fails the vertical line test at x = 0. The graph is not a function because it fails the horizontal line test at y = 0. ABC is a right triangle with a hypotenuse of 10 meters and legs of lengths x and y. Express the area of the triangle as a function of x. None of the above Question: 31 QID: 9405 None of the above Question: 32 QID: 9413 None of the above Question: 33 QID: 9427 Determine the interval where f (x) = x 2 − 6x is increasing. None of the above Question: 34 QID: 9434 Find the slope of the line through the two points (−2, 4) and (1, 4). Question: 35 QID: 9463 −8 0 Undefined None of the above Artificial Technology was studied for the last 12 months and its stock price is plotted on the graph. Describe the slope of the line. Question: 36 QID: 9477 Positive Negative Undefined 0 None of the above At the gas pump, as the price per gallon increases, the number of customers will decrease. A study at Robbie Robin’s gas station revealed the data below. A plot and a fitted line is made to the data. Use the data to identify the equation of the line in slope-intercept form. Question: 37 QID: 9490 y = −40x + 460 y = −40x + 500 y = 40x + 420 y = 40x + 388 None of the above None of the above Question: 38 QID: 9525 Given the graph, find the matching equation. 1 y=− x 3 1 y= x 3 y = 3x y = −3x None of the above Question: 39 QID: 9549 What is the slope of the line perpendicular to the line y = 2x − 5? −2 5 None of the above Question: 40 QID: 9556 Question: 41 QID: 9626 Which relation is represented by the following graph? x = y 2 y = x 3 Question: 42 QID: 9634 None of the above Question: 43 QID: 9748 Write the equation for the parabola whose graph is shown below. None of the above Question: 44 QID: 9774 Identify the y-intercept of the parabola: y = −3x 2 − 6x − 5. Question: 45 QID: 9782 What can you conclude about equation of the following parabola? Question: 46 y=0 y = −1 y = −3 y = −5 None of the above QID: 9797 The discriminant is zero. The discriminant is negative. The value of a is 0. The constant is 0. None of the above A fence of 200 feet is used to enclose a rectangular garden. Find the maximum area possible for the garden. Question: 47 50 square feet 2,500 square feet 3,000 square feet 4,000 square feet None of the above QID: 9815 Find the vertex of the parabola defined by the function y = 4x 2 + 2x − 3 by completing the square. None of the above Question: 48 QID: 9948 Given that one zero is x = 2, and another zero is x = −3, find the zeros of f(x) = x 4 − 3x 3 − 6x 2 + 28x − 24. Question: 49 x = −3, 1 time; x = −2, 3 times x = −3, 1 time; x = 2, 3 times x = −3, 3 times; x = 2, 1 time x = 3, 1 time; x = 2, 3 times None of the above QID: 9953 2 or 0, positive; 3 or 1, negative 5, positive; 4, negative 3, positive; 2, negative 3 or 1, positive; 2 or 0, negative None of the above Question: 50 QID: 9979 Which graph has x = 2 and y = −2 as asymptotes? Question: 51 QID: 10012 Graph the following rational function: . Question: 52 QID: 10037 Find the vertical asymptote(s), if any, of . Question: 53 No vertical asymptote x=3 x = 1, x = −1 x=1 None of the above QID: 10052 Find the horizontal asymptotes, if any, of the graph of . No horizontal asymptote None of the above Question: 54 QID: 10064 True or false? is a one-to-one function. Question: 55 true false QID: 10106 Find the inverse of the function, f −1(x), if it exists. None of the above Question: 56 QID: 10118 Find the inverse of the function if it exists. , The inverse does not exist. None of the above Question: 57 QID: 10173 −30 −2 Solve. None of the above Question: 58 QID: 10190 None of the above Question: 59 QID: 10193 A banker can lend money at 9.1% compounded monthly or at 9.3% compounded quarterly. If the length of the loan is 15 years, which type of loan profits the banker more? Question: 60 QID: 10213 In 1990 the population of the U.S. was around 250 million and was expected to grow according to the function P (x) = 250,000,000e 0.009x, where x is the number of years after 1990. What will the expected U.S. population be in 2004, according to this model? Question: 61 3.53 billion 283.6 million 2.6 billion None of the above QID: 10226 9 2 −9 None of the above Question: 62 QID: 10235 Which of these two functions, Both increase Neither increases or , increases as x increases? Question: 63 QID: 10269 Solve. None of the above Question: 64 QID: 10292 None of the above Question: 65 QID: 10307 None of the above Question: 66 QID: 10407 0.799 Solve for x. Impossible to solve. None of the above Question: 67 Solve for x. QID: 10419 0.2662 −0.4196 No solution −0.087 None of the above Question: 68 QID: 10423 x = −3 and x = 4. x = 4. x = 5. Question: 69 QID: 10447 0.095 10.53 158.49 2,377.34 None of the above Question: 70 QID: 10464 12% 88% 0.12P0 0.88P0 None of the above Question: 71 QID: 10475 21 minutes 52 minutes 425 minutes The turkey will never reach a temperature of 425 degrees. None of the above Question: 72 QID: 11257 Quadrant I Quadrant II Quadrant III Quadrant IV Question: 73 QID: 11265 Suppose that you are told that two angles measuring 2a + 7 and 3a + 4 degrees are complementary. What are the two angles? Question: 74 15.8° and 74.2° 20.2° and 69.8° 38.6° and 51.4° 47.4° and 64.6° QID: 11274 None of the above Question: 75 QID: 11285 What is the length of the arc intercepted by an angle of 10° on a circle with a radius of 10 meters? Round the answer to the nearest hundredth. Question: 76 QID: 11322 Question: 77 QID: 11330 Simplify the expression without using a calculator. 0.17 meters 0.87 meters 1.75 meters 100 meters None of the above 17 4 13 12 15 4 Question: 78 QID: 11333 Which of these statements accurately describes the amplitude of a trigonometric function? The amplitude is the number that describes the width of a single repetition of the function. The amplitude is an expression that is used to calculate the period of the function. The amplitude is twice the height of the function from the x-axis to its highest point. The amplitude is a real number value used to help determine the lowest point on the curve and the highest point. Question: 79 QID: 11337 4 Question: 80 QID: 11345 5 hours 10 hours 7000 hours Question: 81 QID: 11355 Question: 82 QID: 11359 What is the amplitude of the function y = 3 sin x + 2? Question: 83 3 2 2 π 0 QID: 11364 The temperature of a particular patient in a hospital is modelled by the following function where t is the time in hours: 3.5 hours 14 hours 7 hours How long will it take for the patient’s temperature to reach its first maximum? Question: 84 QID: 11370 In which quadrant is cos θ > 0 and tan θ < 0? Question: 85 QID: 11375 Quadrant I Quadrant II Quadrant III Quadrant IV Which of the following is a graph of one period of y = cot 2x ? Question: 86 QID: 11379 Determine an equation for the graph below. The graph shows one complete period. Question: 87 y = sec x y = − sec x y = csc x y = − csc x QID: 11394 Determine the exact value of Question: 88 QID: 11396 Solve the following equation for x: Question: 89 QID: 11400 −2 −1 0 2 5.3 mi 8.8 mi 7.5 mi 3.9 mi Question: 90 QID: 11414 Question: 91 QID: 11423 1 Question: 92 QID: 11440 Question: 93 QID: 11443 Question: 94 QID: 11446 Question: 95 QID: 11484 Question: 96 QID: 11495 AB is a line 652 feet long on one bank of a stream. C is a point on the opposite bank. ∠BAC = 50° and ∠ABC = 48°. 374.78′ 363.61′ 504.32′ 489.28′ Find the width of the stream from C to AB. Question: 97 QID: 11496 Question: 98 QID: 11500 Question: 99 QID: 11512 No solution – impossible Question: 100 QID: 13854 Determine the domain for the function: The answer is not shown. Question: 101 QID: 14007 Beginning with the function y = (x − 1)2 + 2, what function would represent the same curve 4 times wider? y = 4 (x − 1)2 + 2 y = −4 (x − 1)2 + 2 None of the above Question: 102 QID: 14872 Determine the distance between the two points (−3, 11) and (4, −15). Round your answer to the nearest hundredth, if needed. Question: 103 QID: 15305 For two angles to be described as “coterminal”, which of the following must be the difference in their measures? Question: 104 4.12 23.60 26.93 725 None of the above 360° 720° A multiple of 360° A multiple of 720° None of the above QID: 16278 1.922, 2.791, 5.064, and 5.933 radians. 3.470 and 5.954 radians. 3.844 and 5.581 radians. 1.922 and 2.791 radians. Question: 105 QID: 16371 x y 2x 2y Write an expression for the horizontal leg of the triangle. Question: 106 QID: 16455 −933 −5 −2 −50 None of the above Question: 107 QID: 16472 None of the above Question: 108 QID: 18429 The distance between two points can be found __________ . Question: 109 QID: 18449 Any point (x, y) that is the square root of the distance away from the point (h, k) is on the circle whose radius is r. Question: 110 true false QID: 18453 Identify the center and radius of the circle. (x 2 − 4x + 4) + ( y 2 + 6y + 9) = 16 Question: 111 Using an averaging formula Using a formula derived from the Pythagorean Theorem. By finding the length of a parallel line. By dividing by the negative inverse of the length of a perpendicular line. QID: 18459 (−3, 4), 4 (2, −3), 4 (3, −1), 16 (−2, 3), 8 None of the above Graph. (x + 3)2 + ( y + 4)2 = 36 Question: 112 QID: 19670 The Law of Sines states that for any triangle ABC with sides a, b, and c and opposite angles A, B, and C, a sin A = b sin B = c sin C. Question: 113 QID: 20309 true false 19.85 m 12.12 m 17.03 m 20.81 m None of the above Question: 114 QID: 20495 Sketch the graph of the function without recourse to a graphic calculator. g(x) = 3x Graph A Graph B Graph C Graph D Question: 115 QID: 20496 For which x values does the graph of y = 4x cross the x-axis? Question: 116 QID: 21740 The formula relating arc length, radius and a central angle is θ = sr. Question: 117 None Negative values of x x values less than 1 Positive values of x true false QID: 21750 true false Question: 118 QID: 21783 What is the equation for this graph? Question: 119 y = sin x y = cos x y = 2 sin x y = 2 cos x None of the above QID: 21815 true false Question: 120 QID: 21819 The function y = sec 2x has zeros at x = π / 4 and x = 3π / 4. Question: 121 QID: 21823 Which of the following is equal to tan 340°? Question: 122 true false cot 40° tan 20° − tan 70° − tan 20° None of the above QID: 21846 true false Question: 123 QID: 24095 sin2 x − 1 1 + tan2 x sin2 x + 1 None of the above Question: 124 QID: 24881 The distance r to a star is measured in parsecs, but astronomers like to use the Distance Modulus M given by the formula M = 5 log r − 5. If a star is 52 parsecs away, what is its distance modulus? Round your answer to the nearest hundredth. −16.42 3.58 7.53 8.58 None of the above Question: 125 QID: 24950 None of the above Question: 126 QID: 25057 Beginning with the function y = x 2, which of the following shows the changes you would make so that the vertex lies at (2, − 4) and the parabola opens in a positive direction? Question: 127 QID: 25097 The function y = 2x 2 + x + 3 has a maximum value. Question: 128 true false QID: 25455 f (x) = 3x 3 − 5x 2 + 6x − 4 has 3 or 1 negative real zeros. Question: 129 y = (x + 2)2 − 4 y = (x − 2)2 − 4 y = (x + 4)2 − 2 y = −(x − 4)2 + 2 None of the above true false QID: 25457 Find a polynomial of degree 3 with zeros x = −1, 8, −8, and f (1) = −126 x 3 − x 2 − 64x − 64 x 3 + x 2 − 64x − 64 x 3 + x 2 + 64x + 64 −x 3 + x 2 + 64x + 64 None of the above Question: 130 QID: 25458 Find all real zeros and their multiplicities. f (x) = (x − 4) (x + 5) (x 2 − 9) None of the above Question: 131 QID: 25552 Write this full statement (equation) in mathematical shorthand: "The power to which 6 must be raised in order to get 36 is 2." Question: 132 log2 36 = 6 log6 2 = 36 log6 36 = 2 log2 6 = 36 QID: 25557 None of the above Question: 133 QID: 25578 −4 4 −16 −3 None of the above Question: 134 QID: 25771 True or false? log1 512 is an expression that cannot be evaluated. Question: 135 QID: 25778 Use the change of base formula to approximate the value of log 15 420. Question: 136 true false QID: 25832 0.1749 1.4472 2.2305 −1.4472 None of the above Sketch the graph of . Question: 137 QID: 26167 4 8 5 11 None of the above Question: 138 QID: 26479 Question: 139 QID: 26676 Using the compound interest formula, approximately how many years would it take for an investment of $10,000 at 6% interest, compounded quarterly, to have a value of $20,000? Question: 140 QID: 26797 9 years, 1 month 10 years, 6 months 11 years, 11 months 11 years, 8 months Which transformation occurs when y = x 2 becomes y = x 1/2? Question: 141 QID: 26817 If you want to invest $6,000 and have it increase to $7,500 in 3 years, what rate of interest rounded to the nearest tenth of a percent is necessary if your investment is compounded continuously? 5.5% 6.8% 7.4% 8.7% None of the above Question: 142 QID: 27198 y = mx + b is the ____________ form of a line. Question: 143 QID: 27229 Is the following function odd, even, both or neither? f (x) = x 3 + 2. Question: 144 true false QID: 28275 Given r (x) = 7x − 22 and t (x) = x 2 + 3, express the sum (r + t) (x). Question: 146 odd even both odd and even neither odd nor even QID: 28274 True or false? Question: 145 ____________________ QID: 39523 x 2 + 7x − 19 x 2 + 7x + 25 8x − 19 7x 2 − 25 None of the above Set up the composite when and . Simplify. Question: 147 QID: 40279 Given f (x) = |2x + 8|, find the value of f (7) + f (−5). Question: 148 QID: 40556 20 22 12 24 None of the above Graph: (x) = Question: 149 QID: 40637 None of the above Question: 150 QID: 40643 Use a calculator to evaluate the expression. Question: 151 QID: 40724 0.0668 −0.6899 1.711 −1.711 None of the above Question: 152 QID: 45946 Find a point-slope form of an equation of the line that passes through the point and has the slope None of the above Question: 153 QID: 46254 Find the graph of the function. Question: 154 QID: 47073 5 units to the right and 7 units down 5 units to the left and 7 units up 5 units to the left and 7 units down 5 units to the right and 7 units up None of the above Question: 155 QID: 47136 Beginning with the graph of the function which of the following shows the changes you would make to the function so that the vertex lies at and the parabola becomes 4 times more compressed and it opens in a positive direction? None of the above Question: 156 QID: 48846 Given that a function is reflected across the x-axis and we know the points and are on the curve, what points must lie on the reflection? Question: 157 QID: 48870 A parabola reflected over the x-axis would have the equation: Question: 158 QID: 49427 Find all the real zeros of: None of the above Question: 159 QID: 49696 Identify the graph that is represented by a polynomial function that has one negative real root with even multiplicity. Question: 160 QID: 50333 What are the coordinates of point A ? None of the above Question: 161 QID: 50544 If f (−6) = 19, then f −1 (19) = ? −6 −19 None of the above Question: 162 QID: 50678 Are the following functions inverses of each other? yes no Question: 163 QID: 50923 Which of the following is not an exponential function? All of the above are exponential functions. Question: 164 QID: 52284 0.82 No Solution 1.37 4.28 None of the above Solve for a. log (log a) = −0.2 Question: 165 QID: 78657 Choose the function that best corresponds with the graph. Question: 166 QID: 79136 Choose the asymptotes for the function. Question: 167 QID: 82051 Describe the end behavior of the graph of the following function. Question: 168 x = −3 y=x x=3 y = −x x=3 y=x+6 x = −3 y=x+6 None of the above The graph points up on both ends. The graph points down on both ends. The graph points down on the left end and up on the right end. The graph points up on the left end and down on the right end. None of the above QID: 82151 2 1 3 −1 None of the above Question: 169 QID: 82179 Suppose f (x) is a polynomial function with real coefficients and zeros . Find three additional zeros of f (x). None of the above MATH 1113 Precalculus FINAL EXAM REVIEW ANSWERS Question: 1. ID: 758 B Question: 2. ID: 1535 C Question: 3. ID: 1601 C Question: 4. ID: 1665 C Question: 5. ID: 1753 C Question: 6. ID: 1768 A Question: 7. ID: 1783 B Question: 8. ID: 1794 A Question: 9. ID: 1809 A Question: 10. ID: 1847 B Question: 11. ID: 1873 B Question: 12. ID: 1889 B Question: 13. ID: 2453 D Question: 14. B ID: 2460 Question: 15. ID: 2509 B Question: 16. ID: 2544 C Question: 17. ID: 2610 C Question: 18. ID: 2755 A Question: 19. ID: 2849 B Question: 20. ID: 2950 B Question: 21. ID: 3704 B Question: 22. ID: 5205 B Question: 23. ID: 5214 D Question: 24. ID: 9279 E Question: 25. ID: 9313 B Question: 26. ID: 9327 B Question: 27. ID: 9340 D Question: 28. ID: 9356 D Question: 29. ID: 9359 A Question: 30. A ID: 9393 Question: 31. ID: 9405 D Question: 32. ID: 9413 D Question: 33. ID: 9427 D Question: 34. ID: 9434 C Question: 35. ID: 9463 A Question: 36. ID: 9477 B Question: 37. ID: 9490 A Question: 38. ID: 9525 D Question: 39. ID: 9549 B Question: 40. ID: 9556 D Question: 41. ID: 9626 B Question: 42. ID: 9634 B Question: 43. ID: 9748 B Question: 44. ID: 9774 D Question: 45. ID: 9782 D Question: 46. B ID: 9797 Question: 47. ID: 9815 B Question: 48. ID: 9948 B Question: 49. ID: 9953 D Question: 50. ID: 9979 D Question: 51. ID: 10012 B Question: 52. ID: 10037 B Question: 53. ID: 10052 A Question: 54. ID: 10064 B Question: 55. ID: 10106 A Question: 56. ID: 10118 A Question: 57. ID: 10173 D Question: 58. ID: 10190 C Question: 59. ID: 10193 B Question: 60. ID: 10213 C Question: 61. ID: 10226 C Question: 62. D ID: 10235 Question: 63. ID: 10269 B Question: 64. ID: 10292 D Question: 65. ID: 10307 D Question: 66. ID: 10407 A Question: 67. ID: 10419 C Question: 68. ID: 10423 D Question: 69. ID: 10447 A Question: 70. ID: 10464 B Question: 71. ID: 10475 D Question: 72. ID: 11257 D Question: 73. ID: 11265 C Question: 74. ID: 11274 D Question: 75. ID: 11285 C Question: 76. ID: 11322 D Question: 77. ID: 11330 D Question: 78. D ID: 11333 Question: 79. ID: 11337 B Question: 80. ID: 11345 A Question: 81. ID: 11355 A Question: 82. ID: 11359 A Question: 83. ID: 11364 A Question: 84. ID: 11370 D Question: 85. ID: 11375 D Question: 86. ID: 11379 B Question: 87. ID: 11394 A Question: 88. ID: 11396 A Question: 89. ID: 11400 A Question: 90. ID: 11414 A Question: 91. ID: 11423 D Question: 92. ID: 11440 C Question: 93. ID: 11443 C Question: 94. D ID: 11446 Question: 95. ID: 11484 A Question: 96. ID: 11495 A Question: 97. ID: 11496 C Question: 98. ID: 11500 D Question: 99. ID: 11512 C Question: 100. ID: 13854 C Question: 101. ID: 14007 C Question: 102. ID: 14872 C Question: 103. ID: 15305 C Question: 104. ID: 16278 A Question: 105. ID: 16371 C Question: 106. ID: 16455 D Question: 107. ID: 16472 C Question: 108. ID: 18429 B Question: 109. ID: 18449 B Question: 110. B ID: 18453 Question: 111. ID: 18459 A Question: 112. ID: 19670 B Question: 113. ID: 20309 B Question: 114. ID: 20495 B Question: 115. ID: 20496 A Question: 116. ID: 21740 B Question: 117. ID: 21750 B Question: 118. ID: 21783 A Question: 119. ID: 21815 A Question: 120. ID: 21819 B Question: 121. ID: 21823 D Question: 122. ID: 21846 B Question: 123. ID: 24095 D Question: 124. ID: 24881 B Question: 125. ID: 24950 A Question: 126. B ID: 25057 Question: 127. ID: 25097 B Question: 128. ID: 25455 B Question: 129. ID: 25457 B Question: 130. ID: 25458 B Question: 131. ID: 25552 C Question: 132. ID: 25557 D Question: 133. ID: 25578 D Question: 134. ID: 25771 A Question: 135. ID: 25778 C Question: 136. ID: 25832 A Question: 137. ID: 26167 D Question: 138. ID: 26479 B Question: 139. ID: 26676 D Question: 140. ID: 26797 D Question: 141. ID: 26817 C Question: 142. slope-intercept,slope intercept ID: 27198 slope-intercept,slope intercept Question: 143. ID: 27229 D Question: 144. ID: 28274 B Question: 145. ID: 28275 A Question: 146. ID: 39523 B Question: 147. ID: 40279 D Question: 148. ID: 40556 C Question: 149. ID: 40637 D Question: 150. ID: 40643 E Question: 151. ID: 40724 C Question: 152. ID: 45946 C Question: 153. ID: 46254 B Question: 154. ID: 47073 B Question: 155. ID: 47136 D Question: 156. ID: 48846 C Question: 157. ID: 48870 C Question: 158. ID: 49427 A Question: 159. ID: 49696 A Question: 160. ID: 50333 C Question: 161. ID: 50544 A Question: 162. ID: 50678 A Question: 163. ID: 50923 D Question: 164. ID: 52284 D Question: 165. ID: 78657 A Question: 166. ID: 79136 C Question: 167. ID: 82051 B Question: 168. ID: 82151 A Question: 169. E ID: 82179
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