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PREP07 Test 1
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When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year,the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?
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PREP07 Test 1
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A retailer sold an appliance for $80. If the retailer's gross profit on the appliance was 25 percent of the retailer's cost for the appliance, how many dollars was the retailer's gross profit?
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PREP07 Test 1
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Which of the following equations is NOT equivalent to $${4}{x}^{2}={y}^{2}-{9}$$
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PREP07 Test 1
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A certain state levies a 4 percent tax on the nightly rates of hotel rooms. A certain hotel in this state also charges a $2.00 nightly fee per room, which is not subject to tax. If the total charge for a room for one night was $74.80, what was the nightly rate of the room?
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PREP07 Test 1
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At what simple annual interest rate must $2,500 be invested if it is to earn $225 in interest in one year?
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PREP07 Test 1
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How many different prime numbers are factors of the positive integer n ?(1) Four different prime numbers are factors of 2n.(2) Four different prime numbers are factors of $${n}^{2}$$.
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PREP07 Test 1
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If p is a positive odd integer, what is the remainder when p is divided by 4 ?(1) When p is divided by 8, the remainder is 5.(2) p is the sum of the squares of two positive integers.
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PREP2012
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Plant scientists have used genetic engineering on seeds to produce crop plants that are highly resistant to insect damage. Unfortunately, the plants require more fertilizer and water togrow well than normal ones do, and the seeds themselves are quite expensive, and for most farmers the savings on pesticides would not compensate for the higher seed costs and the cost of additional fertilizer. However, since consumer demand for grains, fruits, and vegetables grown without the use of pesticides continues to rise, the use of genetically engineered seeds of this kind is likely to become widespread.In the argument given, the two portions in boldface play which of the following roles?
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OG17 OG18
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Adiliah, Bao, Davi, Laszlo, Saleema, and Yarah work in a firm's legal department. A supervises B and D, D supervises L, and L supervises S and Y. these are the only supervisory relationships involving these 6 employees. Each document that the department processes must be initially reviewed by exactly 1 department member. Each document reviewed by a department member must then be reviewed by that person's supervisor. No other rules require anyone else to review any document. Anyone not required to review a given document will not review it.Select L among reviewers for the maximum number of the department members that could have reviewed a single document if L was among the reviewers. Select A among reviewers for the maximum number of department members that could have reviewed a single document if A was among the reviewers. Make only two selections, one in each column.
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ProjectAt a certain company, successful projects proceed through 8 stages—Stages A through H. An active project is one that is currently in one of these 8 stages. If a stage of a project is completed during a given day, the project is immediately moved to the next stage. At the end of each day, the current stage of each active project is recorded. Some stages require as little as 1 day of work, and none requires more than 3 days of work. A project is said to be delayed if it spends more time at a stage than is required to complete the work. If a project is canceled, the current stage for the day is recorded as Stage X, and the project is no longer considered an active project.Stages and ClustersFor any given project, the diagram shows the progression of the stages of the project as well as the department of the individuals responsible for each stage. The stages—divided into the initial, intermediate, and final clusters—are each assumed to constitute some nominal fixed percentage (NFP) of the project's lifetime. In the diagram, each cluster percentage is the sum of the NFPs for the stages within the cluster. A status history report—a report containing the daily project status for any project that was active within a given timeframe—is produced by a computer program. Below is the report that was generated at the end of the day today, which is the fifth day of Week 7. The report shows, for example, that Project 75039 began on the second day of Week 6, spent 3 days each in Stages A and B, and has been in its current stage, Stage C, for 3 days.
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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 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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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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ExperimentResearchers conducted an experiment to determine how much cooler the air would be in and around a building with a highly reflective roof surface, as compared to the air in and around a building with a dark roof surface. The researchers constructed four identical small structures, with the exception that each structure had a different type of material for its roof. Each structure had a roof made of exactly one of the following four roofing materials: tin painted silver, tin painted white, black asphalt shingles, and asphalt shingles painted white. At a time when the outside air was 25°C, the following measurements were taken: roof surface temperature, air temperature six inches above the structure, and air temperature inside the structure.The researchers hypothesized that, for each category, the structure with the white asphalt shingles would have the lowest temperatures, the structure with the white tin would have the second lowest temperatures, the structure with the black asphalt shingles would have the highest temperature, and the structure with the silver tin would have the second highest temperatures.ResultsThe graphic shows the temperature measurements, to the nearest degree, that the researchers took for each of the four roofing types.
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OG17 OG18 MSR
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For each of the following statements about the temperature measurements taken in the experiment, select Yes if that statement accurately reflects the information provided. Otherwise, select No.
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OG17 OG18
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The chart depicts the organizational structure of the government of City C. Currently, 5 departments report directly to the City Manager, and each department consists of 2–5 agencies. Due to budgetary concerns, the government will be restructured as follows. The Human Resources Department and its agencies will be eliminated. Payroll will be moved to the Finance Department where it will be part of a single agency created by consolidating Accounting and Collections; Building Maintenance responsibilities will be transferred to Engineering. The Police and Fire Departments will be consolidated into a single department, and Prevention and Suppression will be merged into a single agency of that consolidated department.From the drop-down menus, select the options that create the most accurate statement based on the information provided. 2A. As a result of the restructuring, a total of departments will report to the City Manager, and the maximum number of agencies per department will be
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OG17 OG18 MSR
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According to the information provided, which one of the following values is the least?
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PREP07 Test 1
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Is r to the right of -6 on the number line?(1) r is between -4 and -1 on the number line.(2) r is between -3 and 1 on the number line.
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PREP07 Test 2
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$$2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 =$$
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