OG17 OG18 OG19 OG20 OG2022
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What is the value of t ?(1) s + t = 6 + s(2) $${t}^{3}$$ = 216
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OG16 OG17 OG18 OG19 OG20 OG2022
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For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If the charge for parts, excluding sales tax, was $50.00, what was the total charge for the repair?(1) The sales tax on the charge for labor was $9.60.(2) The total sales tax was $12.60.
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OG17 OG18 OG19 OG20 OG2022
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George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B ?(1) 40 of the B books are fiction and the rest are nonfiction.(2) 60 of the B books are hardcovers and the rest are paperbacks.
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OG17 OG18 OG19 OG20 OG2022
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Is w + $${h}^{4}$$ positive?(1) h is positive.(2) w is positive.
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OG18 OG19 OG20 OG2022
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If a is a 3-digit integer and b is a 3-digit integer, is the units digit of the product of a and b greater than 5? (1) The units digit of a is 4 (2) The units digit of b is 7.
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OG17 OG18 OG19 OG20 OG2022
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In each of the last five years, Company K donated p percent of its annual profits to a certain scholarship fund. Did Company K donate more than $10,000 to the scholarship fund last year?(1) Two years ago, Company K had annual profits of $3 million and donated $15,000 to the scholarship fund.(2) Last year, Company K had annual profits of $2.5 million.
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OG18 OG19 OG20 OG2022
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Is the area of the triangular region above less than 20?(1) $$x^{2} +y^{2}\neq z^{2}$$(2) x+y<13
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OG17 OG18 OG19 OG20 OG2022
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A, B, C and D are points on a line. If C is the midpoint of line segment AB and if D is the midpoint of line segment CB, is the length of line segment DB greater than 5?(1) The length of line segment AC is greater than 8.(2) The length of line segment CD is greater than 6.
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OG18 OG19 OG20 OG2022
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The people in a line waiting to buy tickets to a show are standing one behind the other. Adam and Beth are among the people in the line, and Beth is standing behind Adam with a number of people between them. If the number of people in front of Adam plus the number of people behind Beth is 18, how many people in the line are behind Beth? (1) There are a total of 32 people in the line . (2) 23 people in the line are behind Adam.
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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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OG19 OG20 OG2022
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Robin invested a total of $12,000 in two investments, X and Y, so that the investments earned the same amount of simple annual interest .How many dollars did Robin invest in investment Y ?(1) Investment X paid 3 percent simple annual interest, and investment Y paid 6 percent simple annual interest.(2) Robin invested more than $1,000 in investment X.
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OG19 OG20 OG2022
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In a real estate office that employs n salespeople, f of them are females and x of the females are new employees. What is the value of n?
(1)If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3
(2)If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2
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OG19 OG20 OG2022
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Is $$\frac{x+1}{y+1}$$>$$\frac{x}{y}$$?
(1)$$0 < x < y $$
(2)$$xy > 0$$
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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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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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