OG16 OG17 OG18 OG19 OG20 OG2022
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In the figure shown, if the area of the shaded region is 3 times the area of the smaller circular region, then the circumference of the larger circle is how many times the circumference of the smaller circle?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Club X has more than 10 but fewer than 40 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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The hypotenuse of a right triangle is 10 cm. What is the perimeter, in centimeters, of the triangle?(1)The area of the triangle is 25 square centimeters.(2)The 2 legs of the triangle are of equal length.
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OG12 OG16 OG17 OG15
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In the xy-plane,region R consists of all the points (x, y) such that 2x + 3y ≤ 6. Is the point (r, s)in region R ?(1)3r +2s =6(2)r ≤ 3 and s ≤ 2
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In order to complete a reading assignment on time, Terry planned to read 90 pages per day. However, she read only 75 pages per day at first, leaving 690 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?
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OG12 OG15 OG16 OG17
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What is the volume of a certain rectangular solid?(1)Two adjacent faces of the solid have areas 15 and 24, respectively.(2)Each of two opposite faces of the solid has area 40.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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if $$s >0$$ and $$\sqrt{\frac{r}S}=s$$,what is r in terms of s ?
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OG12 OG15 OG16 OG17
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If a=-0.3 which of the following is true?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Six shipments of machine parts were shipped from a factory on two trucks, with each shipment entirely on one of the trucks. Each shipment was labeled either S1, S2, S3, S4, S5 or S6. The table shows the value of each shipment as a fraction of the total value of the six shipments. If the shipments on the first truck had a value greater than 1/2 of the total value of the six shipments, was S3 shipped on the first truck?(1) S2 and S4 were shipped on the first truck.(2) S1 and S6 were shipped on the second truck
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OG12 OG15 OG16 OG17
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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?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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lf x, y, and z are three-digit positive integers and if x = y+ z, is the hundreds digit of x equal to the sum of the hundreds digits of y and z ?(1) The tens digit of x is equal to the sum of the tens digits of y and z.(2) The units digit of x is equal to the sum of the units digits of y and z.
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OG12 OG15 OG16 OG17
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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?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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The table above shows the results of a survey of 100 voters who each responded "Favorable" or "Unfavorable" or "Not Sure" when asked about their impressions of Candidate M and of Candidate N. What was the number of voters who responded "Favorable" for both candidates?(1)The number of voters who did not respond "Favorable" for either candidate was 40.(2)The number of voters who responded "Unfavorable" for both candidates was 10.
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OG12 OG15 OG16 OG17
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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?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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A school administrator will assign each student in a group of n students to one of m classrooms. If 3 < m < 13 < n, is it possible to assign each of the n students to one of the m classrooms so that each classroom has the same number of students assigned to it?(1)It is possible to assign each of 3n students to one of m classrooms so that each classroom has the same number of students assigned to it.(2)It is possible to assign each of 13n students to one of m classrooms so that each classroom has the same number of students assigned to it.
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OG16
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The table above shows the number of students in a certain high school class who are boys and the number of students in the class who are studying biology. What is the total number of students in the class?(1)Of the boys in the class, 15 are studying biology.(2)The number of girls in the class is twice the number of students in the class who are not studying biology.
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OG12 OG15 OG16
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P, r, s, t, uAn arithmetic sequence is a sequence in which each term after the first is equal to the sum of the preceding term and a constant.If the list of letters shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?I 2P, 2r, 2s, 2t, 2uII P-3, r-3, s-3, t-3, u-3III $${P}^{2}$$, $${r}^{2}$$, $${s}^{2}$$, $${t}^{2}$$, $${u}^{2}$$
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OG12 OG15 OG16
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How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo?(1)Of the 60 cars sold, 20 had a stereo but not power windows.(2)Of the 60 cars sold, 30 had both power windows and a stereo.
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If 3 < x < 100, for how many values of x is $$\frac{x}{3}$$the square of a prime number?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?
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