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OG17 OG16 OG18 OG19 OG20 OG2022
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Square ABCD is inscribed in circle O. What is the area of square region ABCD?(1) The area of circular region O is 64π.(2) The circumference of circle O is 16π.
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OG16 OG17 OG18 OG19 OG20 OG2022
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Lines k and m are parallel to each other. Is the slope of line k positive?(1)Line k passes through the point (3, 2).(2)Line m passes through the point (-3, 2).
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OG17 OG18 OG19 OG20 OG2022
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In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel?(1) The maximum width of the truck is 2.4 m.(2) The maximum height of the truck is 4 m.
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OG18 OG19 OG20 OG2022
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In a certain group of 50 people, how many are doctors who have a law degree? (1) In a certain group, 36 people are doctors. (2) In a group, 18 people have a law degree.
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OG18 OG19 OG20 OG2022
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Of a group of 50 households, how many have at least one cat or at least one dog, but not both? (1) The number of households that have at least one cat and at least one dog is 4. (2) The number of households that have no cats and no dogs is 14.
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OG15 OG16 OG17 OG18
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On a certain date, Hannah invested $5,000 at x percent simple annual interest and a different amount at y percent simple annual interest. What amount did Hannah invest at y percent simple annual interest?(1)The total amount of interest earned by Hannah`s due investments in one year was $900.(2)Hannah invested the $5,000 at 6 percent simple annual interest.
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OG16 OG17 OG18 OG19 OG20 OG2022
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Do at least 60 percent of the students in Pat`s class walk to school?(1) At least 60 percent of the female students in Pat`s class walk to school.(2) The number of students in Pat`s class who walk to school is twice the number of students who do not walk to school.
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OG12 OG15 OG16 OG17 OG18
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The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. Did the profit exceed $4 million on sales of 380,000 units?(1)The profit exceeded $2 million on sales of 200,000 units.(2)The profit exceeded $5 million on sales of 350,000 units.
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OG12 OG15 OG16 OG17 OG18
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If n is an integer, is n even?(1)$$n^2 - 1$$ is an odd integer.(2)3n + 4 is an even integer.
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OG12 OG15 OG16 OG17 OG18
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Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?(1)Her gross weekly pay is currently $225.00.(2)An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage.
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OG18 OG19 OG20 OG2022
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A certain plumber charges $92 for each job completed in 4 hours or less and $23 per hour for each job completed in more than 4 hours. If it took the plumber a total of 7 hours to complete two separate jobs, what was the total amount charged by the plumber for the jobs? (1) The plumber charges $92 for one of the two jobs. (2) The plumber charged $138 for one of the two jobs.
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OG18 OG19 OG20 OG2022
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If x and y are positive numbers, is $$\frac{x+1}{y+1}>\frac{x}{y}$$?(1) $$x>1$$(2) $$x\lt y$$
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OG16 OG17 OG18
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If a and b are positive integers, is $$\frac{a}{b}$$ < $$\frac{9}{11}$$ ?(1) $$\frac{a}{b}$$ < 0.818(2) $$\frac{b}{a}$$ > 1.223
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OG18 OG19 OG20 OG2022
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Every object in a box is either a sphere or a cube,and every object in the box is either red or green. How many objects are in the box? (1) There are six cubes and five green objects in the box. (2) There are two red spheres in the box.
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OG18 OG19 OG20 OG2022
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If x and y are positive integers, is xy even? (1) $$x^{2} + y^{2} - 1$$ is divisible by 4. (2) x+y is odd.
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OG18 OG19 OG20 OG2022
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If a and b are integers, is a+b+3 an odd integer? (1) ab is an odd integer.(2) a-b is an even integer.
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OG16 OG17 OG18 OG19 OG20 OG2022
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If x and y are positive integers, what is the value of $$\sqrt{x}+\sqrt{y}$$ ?(1) x + y = 15(2) $$\sqrt{xy}= 6$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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A certain truck uses $$\frac{1}{12}$$ + $${k}{v}^{2}$$ gallons of fuel per mile when its speed is v miles per hour, where k is a constant. At what speed should the truck travel so that it uses $$\frac{5}{12}$$ gallon of fuel per mile?(1) The value of k is $$\frac{1}{10800}$$(2) When the truck travels at 30 miles per hour, it uses $$\frac{1}{6}$$ gallon of fuel per mile.
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OG16 OG17 OG18 OG19 OG20 OG2022
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If x = 2t and $${y}=\frac{t}{3}$$, what is the value of $${x}^{2}-{y}^{2}$$?(1) $${t}^{2}$$ − 3 = 6(2) $${t}^{3}$$ = −27
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OG18 OG19 OG20 OG2022
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Last school year, each of the 200 students at a certain high school attended the school for the entire year. If there were 8 cultural performances at the school during the last school year, what was the average (arithmetic mean) number of students attending each cultural performance? (1) Last school year, each students attended at least one cultural performance.(2) Last school year, the average number of cultural performances attended per student was 4.
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