[["Question: If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) \u2265 -1 for all x, what is the greatest possible value of f(0)?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 8\nAnswer:"," 3"],["Question: If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) \u2265 -1 for all x, what is the greatest possible value of f(0)?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 8\nAnswer:"," 4"],["Question: If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) \u2265 -1 for all x, what is the greatest possible value of f(0)?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 8\nAnswer:"," 5"],["Question: If f is a continuously differentiable real-valued function defined on the open interval (-1, 4) such that f(3) = 5 and f'(x) \u2265 -1 for all x, what is the greatest possible value of f(0)?\nChoices:\nA. 3\nB. 4\nC. 5\nD. 8\nAnswer:"," 8"],["Question: A group G in which (ab)^2 = a^2b^2 for all a, b in G is necessarily\nChoices:\nA. finite\nB. cyclic\nC. of order two\nD. abelian\nAnswer:"," finite"],["Question: A group G in which (ab)^2 = a^2b^2 for all a, b in G is necessarily\nChoices:\nA. finite\nB. cyclic\nC. of order two\nD. abelian\nAnswer:"," cyclic"],["Question: A group G in which (ab)^2 = a^2b^2 for all a, b in G is necessarily\nChoices:\nA. finite\nB. cyclic\nC. of order two\nD. abelian\nAnswer:"," of order two"],["Question: A group G in which (ab)^2 = a^2b^2 for all a, b in G is necessarily\nChoices:\nA. finite\nB. cyclic\nC. of order two\nD. abelian\nAnswer:"," abelian"],["Question: If f : (0, 1) \u2192 (0, 1], then which of the following could be TRUE?\nI. f is one-to-one and onto.\nII. The image of f is compact.\nIII. f is continuous, one-to-one, and onto.\nChoices:\nA. I only\nB. II only\nC. I and II only\nD. I and III only\nAnswer:"," I only"],["Question: If f : (0, 1) \u2192 (0, 1], then which of the following could be TRUE?\nI. f is one-to-one and onto.\nII. The image of f is compact.\nIII. f is continuous, one-to-one, and onto.\nChoices:\nA. I only\nB. II only\nC. I and II only\nD. I and III only\nAnswer:"," II only"],["Question: If f : (0, 1) \u2192 (0, 1], then which of the following could be TRUE?\nI. f is one-to-one and onto.\nII. The image of f is compact.\nIII. f is continuous, one-to-one, and onto.\nChoices:\nA. I only\nB. II only\nC. I and II only\nD. I and III only\nAnswer:"," I and II only"],["Question: If f : (0, 1) \u2192 (0, 1], then which of the following could be TRUE?\nI. f is one-to-one and onto.\nII. The image of f is compact.\nIII. f is continuous, one-to-one, and onto.\nChoices:\nA. I only\nB. II only\nC. I and II only\nD. I and III only\nAnswer:"," I and III only"],["Question: Which of the following is true?\nChoices:\nA. Every compact space is complete\nB. Every complete space is compact\nC. Neither (a) nor (b).\nD. Both (a) and (b).\nAnswer:"," Every compact space is complete"],["Question: Which of the following is true?\nChoices:\nA. Every compact space is complete\nB. Every complete space is compact\nC. Neither (a) nor (b).\nD. Both (a) and (b).\nAnswer:"," Every complete space is compact"],["Question: Which of the following is true?\nChoices:\nA. Every compact space is complete\nB. Every complete space is compact\nC. Neither (a) nor (b).\nD. Both (a) and (b).\nAnswer:"," Neither (a) nor (b)."],["Question: Which of the following is true?\nChoices:\nA. Every compact space is complete\nB. Every complete space is compact\nC. Neither (a) nor (b).\nD. Both (a) and (b).\nAnswer:"," Both (a) and (b)."],["Question: Let x and y be positive integers such that 3x + 7y is divisible by 11. Which of the following must also be divisible by 11?\nChoices:\nA. 4x + 6y\nB. x + y + 5\nC. 9x + 4y\nD. 4x - 9y\nAnswer:"," 4x + 6y"],["Question: Let x and y be positive integers such that 3x + 7y is divisible by 11. Which of the following must also be divisible by 11?\nChoices:\nA. 4x + 6y\nB. x + y + 5\nC. 9x + 4y\nD. 4x - 9y\nAnswer:"," x + y + 5"],["Question: Let x and y be positive integers such that 3x + 7y is divisible by 11. Which of the following must also be divisible by 11?\nChoices:\nA. 4x + 6y\nB. x + y + 5\nC. 9x + 4y\nD. 4x - 9y\nAnswer:"," 9x + 4y"],["Question: Let x and y be positive integers such that 3x + 7y is divisible by 11. Which of the following must also be divisible by 11?\nChoices:\nA. 4x + 6y\nB. x + y + 5\nC. 9x + 4y\nD. 4x - 9y\nAnswer:"," 4x - 9y"],["Question: In the xy-plane, the graph of x^(log y) = y^log x is\nChoices:\nA. the open first quadrant\nB. a closed curve\nC. a ray in the open first quadrant\nD. a single point\nAnswer:"," the open first quadrant"],["Question: In the xy-plane, the graph of x^(log y) = y^log x is\nChoices:\nA. the open first quadrant\nB. a closed curve\nC. a ray in the open first quadrant\nD. a single point\nAnswer:"," a closed curve"],["Question: In the xy-plane, the graph of x^(log y) = y^log x is\nChoices:\nA. the open first quadrant\nB. a closed curve\nC. a ray in the open first quadrant\nD. a single point\nAnswer:"," a ray in the open first quadrant"],["Question: In the xy-plane, the graph of x^(log y) = y^log x is\nChoices:\nA. the open first quadrant\nB. a closed curve\nC. a ray in the open first quadrant\nD. a single point\nAnswer:"," a single point"],["Question: Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G ?\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3\nAnswer:"," 0"],["Question: Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G ?\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3\nAnswer:"," 1"],["Question: Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G ?\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3\nAnswer:"," 2"],["Question: Up to isomorphism, how many additive abelian groups G of order 16 have the property that x + x + x + x = 0 for each x in G ?\nChoices:\nA. 0\nB. 1\nC. 2\nD. 3\nAnswer:"," 3"],["Question: Water drips out of a hole at the vertex of an upside down cone at a rate of 3 cm^3 per minute. The\ncone\u2019s height and radius are 2 cm and 1 cm, respectively. At what rate does the height of the water change\nwhen the water level is half a centimeter below the top of the cone? The volume of a cone is V = (\u03c0/3)*r^2*h,\nwhere r is the radius and h is the height of the cone.\nChoices:\nA. \u221248/\u03c0 cm/min\nB. \u22124/(3\u03c0) cm/min\nC. \u22128/(3\u03c0) cm/min\nD. \u221216/(3\u03c0) cm/min\nAnswer:"," \u221248/\u03c0 cm/min"],["Question: Water drips out of a hole at the vertex of an upside down cone at a rate of 3 cm^3 per minute. The\ncone\u2019s height and radius are 2 cm and 1 cm, respectively. At what rate does the height of the water change\nwhen the water level is half a centimeter below the top of the cone? The volume of a cone is V = (\u03c0/3)*r^2*h,\nwhere r is the radius and h is the height of the cone.\nChoices:\nA. \u221248/\u03c0 cm/min\nB. \u22124/(3\u03c0) cm/min\nC. \u22128/(3\u03c0) cm/min\nD. \u221216/(3\u03c0) cm/min\nAnswer:"," \u22124/(3\u03c0) cm/min"],["Question: Water drips out of a hole at the vertex of an upside down cone at a rate of 3 cm^3 per minute. The\ncone\u2019s height and radius are 2 cm and 1 cm, respectively. At what rate does the height of the water change\nwhen the water level is half a centimeter below the top of the cone? The volume of a cone is V = (\u03c0/3)*r^2*h,\nwhere r is the radius and h is the height of the cone.\nChoices:\nA. \u221248/\u03c0 cm/min\nB. \u22124/(3\u03c0) cm/min\nC. \u22128/(3\u03c0) cm/min\nD. \u221216/(3\u03c0) cm/min\nAnswer:"," \u22128/(3\u03c0) cm/min"],["Question: Water drips out of a hole at the vertex of an upside down cone at a rate of 3 cm^3 per minute. The\ncone\u2019s height and radius are 2 cm and 1 cm, respectively. At what rate does the height of the water change\nwhen the water level is half a centimeter below the top of the cone? The volume of a cone is V = (\u03c0/3)*r^2*h,\nwhere r is the radius and h is the height of the cone.\nChoices:\nA. \u221248/\u03c0 cm/min\nB. \u22124/(3\u03c0) cm/min\nC. \u22128/(3\u03c0) cm/min\nD. \u221216/(3\u03c0) cm/min\nAnswer:"," \u221216/(3\u03c0) cm/min"],["Question: Let K be a nonempty subset of R^n, where n > 1. Which of the following statements must be true?\nI. If K is compact, then every continuous real-valued function defined on K is bounded.\nII. If every continuous real-valued function defined on K is bounded, then K is compact.\nIII. If K is compact, then K is connected.\nChoices:\nA. I only\nB. II only\nC. III only\nD. I and II only\nAnswer:"," I only"],["Question: Let K be a nonempty subset of R^n, where n > 1. Which of the following statements must be true?\nI. If K is compact, then every continuous real-valued function defined on K is bounded.\nII. If every continuous real-valued function defined on K is bounded, then K is compact.\nIII. If K is compact, then K is connected.\nChoices:\nA. I only\nB. II only\nC. III only\nD. I and II only\nAnswer:"," II only"],["Question: Let K be a nonempty subset of R^n, where n > 1. Which of the following statements must be true?\nI. If K is compact, then every continuous real-valued function defined on K is bounded.\nII. If every continuous real-valued function defined on K is bounded, then K is compact.\nIII. If K is compact, then K is connected.\nChoices:\nA. I only\nB. II only\nC. III only\nD. I and II only\nAnswer:"," III only"],["Question: Let K be a nonempty subset of R^n, where n > 1. Which of the following statements must be true?\nI. If K is compact, then every continuous real-valued function defined on K is bounded.\nII. If every continuous real-valued function defined on K is bounded, then K is compact.\nIII. If K is compact, then K is connected.\nChoices:\nA. I only\nB. II only\nC. III only\nD. I and II only\nAnswer:"," I and II only"],["Question: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x ?\nChoices:\nA. x^2/9\nB. x^2/8\nC. x^2/4\nD. x^2\nAnswer:"," x^2/9"],["Question: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x ?\nChoices:\nA. x^2/9\nB. x^2/8\nC. x^2/4\nD. x^2\nAnswer:"," x^2/8"],["Question: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x ?\nChoices:\nA. x^2/9\nB. x^2/8\nC. x^2/4\nD. x^2\nAnswer:"," x^2/4"],["Question: A total of x feet of fencing is to form three sides of a level rectangular yard. What is the maximum possible area of the yard, in terms of x ?\nChoices:\nA. x^2/9\nB. x^2/8\nC. x^2/4\nD. x^2\nAnswer:"," x^2"]]
