OG16 OG17 OG18 OG19 OG20 OG2022
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If the average (arithmetic mean) of the four numbers 3, 15, 32, and (N + 1) is 18, then N =
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OG17 OG18
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Which one of the following statements is most strongly supported by the information presented in the tabs?
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OG18 OG19 OG20 OG2022
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Abdul, Barb, and Carlos all live on the same straight road, on which their school is also located. The school is halfway between Abdul`s house and Barb`s house. Barb`s house is halfway between the school and Carlos`s house. If the school is 4 miles from Carlos`s house, how many miles is Abdul`s house from Carlos`s house?
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OG17 OG18
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A portion of an automobile test track is divided into Segment A, Segment B, and Segment C, in that order. In a performance test on a car, the car traveled Segment A at a constant speed of 140 kilometers per hour (kmh). Immediately after this, the car rapidly slowed on Segment B and then traveled on Segment C at a constant speed of 70 kmh. The length of Segment C is 3 times the length of Segment A, and it took a total of 42 minutes for the car to travel both segments A and C. In the table, select the length of Segment A, in kilometers, and select the length of Segment C, in kilometers. Make only two selections, one in each column.
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OG17 OG18
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On days 1 through 4 of a recent week, product X was out of stock at Retailer R. Day 1 shoppers are those who came to Retailer R on day 1 of that week seeking Product X. for each of the first 3 days of that week, the graph shows the subsequent behavior of all the day 1 shoppers who came to Retailer R seeking Product X on that day. Shoppers at Retailer R who purchased a different item in lieu of Product X paid an average of 30% more for the item. From each drop-down menu, select the option that creates the most accurate statement based on the information provided.% of Day 1 shoppers returned to the store on day 3.Shoppers at Retailer R who purchased substitute items from other manufacturers on day 1 paid a total amount that was approximately % of the total all day 1 shoppers would have paid had each of them been able to purchase Product X on day 1.
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OG18 OG19 OG20 OG2022
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During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?
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OG17 OG18
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Professor A: the aid industry should begin to limit its effort to spending on primary schools in the poorest areas, providing medicines and other basic supplies for health care such as mosquito nets, and to a few key agricultural initiatives.Professor B: much education work has been ineffective. A village or town with poor schooling may be better off getting a road than a teacher. Once local farmers can transport produce to market they will be willing to pay for schools—and to make sure the schools succeed.Suppose that the professors’ statements express their genuine opinions. Select statement (1) and (2) as follows: professor A would likely disagree with (1) and professor B would take (2) to present logical support for (1). Select only two statements, one per column.
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OG18 OG19 OG20 OG2022
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Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors?
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OG15 OG16 OG17 OG18
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If $$\mid{y}-\frac{1}{2}\mid<\frac{11}{2}$$ which of the following could be a value of y?
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OG17 OG18 TA
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Each of the following options consists of a high-tech field and a quantity. For each option, select Less than median if, based on the given information, the value of the quantity for that field is less than the median for that quantity over the 9 fields. Otherwise, select Greater than or equal to median
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OG17 OG18
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Educational policy analyst: To improve the long-term economic benefits that our country’s universities provide to their students, the government should provide subsidies enabling the universities to hire more academic staff. Hiring more academic staff would allow smaller class sizes. Statistically, university students in smaller classes tend to receive higher grades than those in larger classes. And on average, a student who earns higher grades in university classes tends to have a higher salary after graduation than a student who earns lower grades. Thus, hiring more academic staff nationwide should improve the economic wellbeing of graduates nationwide.Consider the incomplete statement:According to the analyst's argument, students’ 1 is bolstered by their 2.Select for 1 and 2 the options that complete the statement in the manner that most accurately reflects the given information. Make only two selections, one in each column.
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OG18 OG19 OG20 OG2022
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In the figure shown, AC = 2 and BD=DC=1. What is the measure of angle ABD?
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OG17 OG18
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The diagram shows a project team consisting of exactly 8 workers. Each worker is represented by a circle labeled with a capital letter. An arrow directed from one worker’s circle to a second worker’s circle indicates that the first worker directs project-related questions to the second worker. Each of the workers to whom no other worker directs project-related questions is an individual contributor, and each worker to whom one or more of the other workers directs project-related questions is a coordinator. For example, G (an individual contributor) directs project-related questions to E (a coordinator), but E does not direct project-related questions to G; whereas C and D (both coordinators) direct project-related questions to one another. Use each drop-down menu to create the most accurate statement about this project team based on the information provided. 10A. There are exactly individual contributors on the project team.10B. and the individual contributor who directs project-related questions to the greatest number of other workers is .
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OG16 OG17 OG18
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If $$ k^2 = m^2,$$ which of the following must be true?
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OG17 OG18
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Each of the species of a certain type of insect has at least one of five significant traits: A, B, C, D, and E. Furthermore, one study has determined that any species with Trait A has at least one of the Traits B and C. Another study has determined that any species with Trait C has at least one of the Traits D and E. And a third study has determined that any of the species with Trait B has Trait C. The results of each study are correct.Select different options for X and for Y such that the following statement most accurately describes the passage. Make only two selections, one in each column.In addition to the relationship between Traits B and C that is stated explicitly with respect to the third study, the passage implies that any of the insects that has Trait ____ X ____ also has Trait ____ Y ____.
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OG17 OG18 OG19 OG20 OG2022
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Makoto, Mishi, and Ozuro were paid a total of $780 for waxing the floors at their school. Each was paid in proportion to the number of hours he or she worked. If Makoto worked 15 hours, Mishi worked 20 hours, and Ozuro worked 30 hours, how much was Makoto paid?
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OG17 OG18
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During a four-day period, a height measurement and a weight measurement were recorded shortly after delivery for each baby born in a particular hospital. The 19 babies in the study were divided into two groups, Group A and Group B. the chart shows the length, in centimeters (cm), and weight, in kilograms (kg), for each of the 19 babies. Based on the information given, use the drop-down menus to most accurately complete the following statements.The correlation between length and weight for the babies in the study is .If a baby with weight less than 3.5kg were selected at random, the probability that the baby would be a part of Group A is .
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OG16 OG17 OG18 OG19 OG20 OG2022
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The figure above shows a path around a triangular piece of land. Mary walked the distance of 8 miles from P to Q and then walked the distance of 6 miles from Q to R. If Ted walked directly from P to R, by what percent did the distance that Mary walked exceed the distance that Ted walked?
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OG17 OG18
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For each positive integer n, the quantity $$s_n$$ is defined such that $$s_{n+2} = {s_n}^2 - s_{n+1}$$. In addition, $$s_2 = 1$$.In the table, select values for $$s_1 $$ and $$s_4 $$ that are jointly compatible with these conditions. Select only two values, one in each column.
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OG15 OG16 OG17 OG18
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At a supermarket John spent $$\frac{1}{2}$$ of his money on fresh fruits and vegetables,$$\frac{1}{3}$$ on meat products, and $$\frac{1}{10}$$ on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?
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