In the figure above, circular regions and represent sets of integers and every integer greater than 2 is in Mor A, or in both. Is the integer 11 in the shaded region?
(1) Mrepresents the set of integers greater than 2 that are not prime.
(2) Mrepresents the set of odd integers greater than 2.
Of the employees at a certain international firm, 40 percent have a business degree and 80 percent speak French. If each employee at the firm either has a business degree or speaks French or both, what percent of the employees who have a business degree afeo speak French?
The sum of the first n positive odd integers is n2 . What is the sum of the of the odd integers from 25 to 79, inclusive?
For which year between 1980 and 2008, inclusive, does the fee paid for television rights to that year's Olympic games represent the greatest percent increase over the fee paid for television rights to the Olympic games four years earlier?
Of the 45 households in a certain neighborhood, 28 subscribe to Newspaper Q, 17 subscribe to Newspaper R, 12 subscribe to Newspaper S, 7 subscribe to both Q and R, 8 subscribe to both Q and 5, and 9 subscribe to both R and 5. The number of households who subscribe to all three newspapers is equal to the number of households who subscribe to none of the three newspapers. If 39 of the households subscribe to at least one of the three newspapers, how many households subscribe to only one of the newspapers?
The company's choice of Mr. Frederick for the position was based mostly on his being mote of a manager than the other candidates.
The real estate company pleaded guilty in a district court in failing to report all of the profits from the sale of land for the new shopping mall.
When new regulations were imposed on businesses selling in the same markets as Acme Inc. and the demographics began to change unfavorably for its main product: there was very little that it could have done different in the short term.
Which of the following is most strongly supported by the findings of the Harms study?
Machine K and machine N, working simultaneously and independently at their respective constant rates, processed =• of the shipment of a certain chemical product in 1.6 hours. Then
machine K stopped working, and machine N, working alone at Its constant rate, processed the rest of the shipment In 2 hours. How many hours would It have taken machine K, working alone at its constant rate, to process the entire shipment?
By understanding the fundamental nature of human immune response, scientists can both study ways to reduce excessive activity of the immune system. such as occur in
autoimmune diseases like diabetes, and to amplify the immune response, as a new way of fighting diseases like cancer.
Taking as her focus Bengali-language books of household advice, the author traces how colonialism gradually reconfigured daily domestic life, with the result that familial and domestic authority, once held by elder women, was replaced by that of the modern colonial husband.
The photographic technique used to detect celestial objects that are fainter than what is visible to the unaided eve, allowing large areas of the sky to be covered bv a single exposure, achieves a high resolution useful in examining structural details, and provides a permanent record.
Which of the following is the most likely reason that the author mentions the work o* the astronomers in 1998 (see highlighted text)?
Which of the following most logically completes the argument?
Many advocate cost-benefit assessment of environmental policies. Although some costs and benefits are already in monetary terms, others, such as effects on the quality of
people's lives, are not. It has been proposed that these costs and benefits be assigned monetary values based on what people say they would pay to avoid or gain them.
However, while this appears to treat everyone's interests alike, it is biased against the interests of certain groups because
Plague bacilli, the microorganisms that cause bubonic plague, are typically carried from rodents to humans by fleas. Although the bubonic plague epidemic that devastated
Europe in the Middle Ages probably originated with certain species of plague-infected rodents from central Asia, the nomadic peoples of central Asia never contracted plague.
Therefore, since they undoubtedly had some contact with infected rodents, it is likely that these central Asian peoples had physiological immunity against plague bacilli.
Which of the following, if true, most seriously weakens the argument?
In 90 percent of the commercial airline accidents last year, one or another of a group consisting of only 18 percent of the world's commercial airlines was involved. Since the other 82 percent of airlines were generally flying the same types of airplanes as the accident-prone airlines, significant differences in safety procedures must have been responsible for these differences In safety records.
Which of the following, if true about the world's commercial airlines last year, most seriously weakens the argument above?
Though unified in their opposition to drilling in the Arctic, the authors' opposition to drilling elsewhere was less vocal.
For a consumer product such as a television, careful pricing is a very important aspect of marketing, since pricing an item even slightly too high or too low can seriously
reduce profits. By contrast, voter approval of government projects that benefit the public does not vary with small differences in estimates of their projected cost.
The statements above, if true, best support which of the following as a conclusion?
If x is the median of a certain set of consecutive positive integers, which of the following must be true?
I. x Is positive.
II. x is even.
III. x is an integer.
If 10 circles, all with different radii, are positioned in the same plane, what is the maximum possible number of distinct points where 2 or more of the circles intersect?
Beginning at noon yesterday, water was removed from a partially filled water tank at a constant rate of 300 liters per hour. When there were 600 liters of water left in the tank, no more water was removed from the tank. Were there more than 1,000 liters of water in the tank at noon yesterday?
(1) There were 600 liters of water in the tank at 2:00 yesterday afternoon.
(2) There were more than 650 liters of water in the tank at 1:00 yesterday afternoon.
Today a certain cinema multiplex has exactly two showings (an early showing and a late showing) for each of five films (Rims A, B, C, D, and E). All of these showings occur after noon, and each showing consists of the film only, with no previews, announcements, or advertisements. The following gives the duration of each film and the start time for each showing:
• Film A (90 minutes); 3:45 and 5:30
• Film B (100 minutes); 1:30 and 7:15
• Film C (105 minutes); 2:00 and 6:00
• Film D (115 minutes); 5:00 and 8:00
• Film E (125 minutes); 12:15 and 7:00
Statement: The early showing of Rim ---------1 overlaps with at least part of both showings of Film ----------2.
Select for / and for 2 the options that complete the statement so that It Is accurate of the showings listed in the Information provided. Make only two selections, one in each column.
Researchers studying long-term changes In regional mouse populations have found that by focusing on the populations of a rare but widespread and easily identifiable species of mouse (Species X), they can make fairly accurate estimations about the total regional mouse populations.
In a report on a recent study that Included the data tables that follow, the researchers provided some addenda:
1. "The Species X population of Region CV increased by 123,995 between 1990 and 2005.
2. In contrast, the Species X population of Region EW declined by about 52% during that same time.
Public health professional: The Shoreville Department of Environmental Services (OES) has Inspected area beaches for pathogenic bacteria for more than 20 years. Currently, DES monitors 50 freshwater beaches and 10 coastal beaches on a weekly basis. Program participation by owners of beaches that are open to the public is voluntary. Owners of beaches who choose not to participate in the Program are allowing the public to recreate on entirety unmonitored beaches.
The DES now proposes adoption of the Adopt-a-Beach Program, designed to promote health and environmental education as well as public involvement in the protecting of public beaches. The program would require DES to collect biological data from all area beaches. It will also help reduce the number of beach advisories, whereby the public must be warned of dangerous conditions on certain beaches.
On the basis of the pubic heath professional's statement, indicate which of the following is most likely True of the Adopt-a-Beach program at the time of writing, and indicate which of the following is most likely False (A the program at the time of writing. Make only two selections, one in each column.
The table provides data about 12 different Persian rugs currently available for sale by a rug dealer. For each rug, the data includes the number of knots per square inch (KPSI) in the yarn, which is consistent throughout the rug.
Journal
The editor of Metathesis, a new academic journal of literature, manages the peer-review of articles submitted for publication. The journal accepts articles focusing on any of three general subject areas: comparative literature, modernist literature, and postcolonial literature.
When an article is submitted, the editor has the article peer-reviewed by exactly three experts, none of whom authored or coauthored the article. The table (see the Reviewers/Authors tab) consists of all the authors or coauthors who have recently submitted articles and all the experts who currently peer-review or have recently peer-reviewed those articles. It also lists the general subject areas for each of the authors and reviewers.
Each author of each submitted article specializes in the general subject area of the article. Moreover, each recently submitted article was peer-reviewed by experts listed in the table.
Review Rules
Researchers studying long-term changes In regional mouse populations have found that by focusing on the populations of a rare but widespread and easily identifiable species of mouse (Species X), they can make fairly accurate estimations about the total regional mouse populations.
In a report on a recent study that Included the data tables that follow, the researchers provided some addenda:
1. "The Species X population of Region CV increased by 123,995 between 1990 and 2005.
2. In contrast, the Species X population of Region EW declined by about 52% during that same time.
The answer to which one of the following can be determined by using the information in the passage and tables?
Each of the 75 employees at @ certain company works in exactly one of the company's 3 departments (Departments X, Y, and Z). Exactly 20% of the employees work in
Department X, and 10 fewer employees work in DepartmentY than work in Department Z.
Based on the information provided, select for Departinent Yand Department Zthe numbers of employees who work in Department Y and Department Z. Make only
two selections, one in each column.
The graph summarizes data on a sample of 100 automobiles requiring warranty service within one year of purchase. Each automobile required service in exactly one of seven categories. For each category, the frequency\& the number of automobiles in the sample requiring service in that category; the cumulative frequency\s the total number of automobiles in (he sample requiring service in that category or in any of the categories to the left in the graph. In the graph, the frequency scale is on the left and the cumulative frequency scale is on the right.
From each drop-down menu, select the option that creates the most accurate statement based on the information provided.
Welleby’s Plan
The water In the underground water table beneath the town of Welleby is moderately saline— 20,000millkjrarns of salt per liter of water (mg/L), or roughly half as saline as ocean water. To lower the level of the water table and thus prevent agricultural land from being inundated with salt water, the town plans to pump water from the table at a rate of 450kiloliters per day (kL/day) into a large shallow pond, allowing much of the water to evaporate. The town plans to divert 10percent of the water pumped from the water table to supplement Us supply of drinking water, which Is currently piped In from great distances. Due to the water's supply, the town intends to construct a desalination plant to treat the diverted water for use as drinking water.
Desalination Types
Comparison
Welleby is deciding among the following three desalination methods.
Reverse Osmosis (RO): Water Is pushed through a membrane, leaving salts behind. RO systems can handle a large range of water flow rates and use relatively little energy. However, RO membranes are expensive and must be replaced every 2 to 5 years. There is also a possibility that bacteria can grow on the membrane. Introducing tastes and odors Into the desalinated water.
Multi-Effect Distillation (MED): Saline water Is heated to produce water vapor, from which Is condensed potable fresh water. This process requires large amounts of energy, regardless of the salinity of the source water. It becomes more cost effective as water volumes increase.
Electrodialysis (ED): Electricity is used to selectively move salts through a membrane. Consumption of energy Is directly proportional to the salinity of the water to be treated, so with higher salinities the process rapidly becomes more costly than other methods. ED membranes need to be replaced every 7 to 10years.
Based on the information provided, which one of the following benefits to Welleby is most likely to result from Its building a desalination plant?
Elena has worked as a real estate agent for exactly 3 years—Years 1, 2, and 3. In Year 1, she sold exactly 16 properties. She sold more proper and more properties in Year 3 than in Year 2. The average (arithmetic mean) number of properties she sold per year for the 3 years was 19.
Select a number for Year 2 and a number for Year 5 that could be the total numbers of properties Elena sold in Year 2 and in Year 3, respectively, so that the selections are jointly consistent with the information provided. Make only two selections, one in each column.
Select from the drop-down menus the options that create the statement that te most clearly supported by the Information In the graph.
Journal
The editor of Metathesis, a new academic journal of literature, manages the peer-review of articles submitted for publication. The journal accepts articles focusing on any of three general subject areas: comparative literature, modernist literature, and postcolonial literature.
When an article is submitted, the editor has the article peer-reviewed by exactly three experts, none of whom authored or coauthored the article. The table (see the Reviewers/Authors tab) consists of all the authors or coauthors who have recently submitted articles and all the experts who currently peer-review or have recently peer-reviewed those articles. It also lists the general subject areas for each of the authors and reviewers.
Each author of each submitted article specializes in the general subject area of the article. Moreover, each recently submitted article was peer-reviewed by experts listed in the table.
Review Rules
Suppose Laprade was the secondary reviewer of a recently submitted article. For each of the following statements, select Keslf the statement must be true, based on this supposition and the information provided. Otherwise, select Ato.
A certain municipality is deliberating over whether it will adopt a policy that would require it to have a balanced budget each year. Proponents prefer the policy because it would keep the municipality from spending more money than it receives, but critics argue that the policy should allow for exceptions so the municipality can respond to crises that might temporarily require spending beyond that amount.
From among the options below, select for Response to the critics and for Reply to that response two statements such that the first, if true, most strongly undermines the critics' argument and the second, if true, is the critics' strongest reply to that response. Make only two selections, one in each column.
West River Glen is deciding which network architecture should replace its old copper telephone lines. The town will replace 300 miles of Outside Plant (OSP) cable that will serve approximately 2,500 homes.
The first option is to install a Fiber to the Home (FTTH) system architecture that uses fiber-optic cable to transmit signals from the source to each home. The advantages of this architecture include greater bandwidth capabilities, less signal loss, and slightly lower new-cable deployment costs than the second option. Hybrid Fiber-Coax (HFC).
An HFC network integrates fiber-optic cables and devices with coaxial cables.
This will cost the town substantially less money for internal equipment and for customer installations. However, the coaxial cable does not last as long as fiberoptic cable and will thus need to be replaced more frequently, resulting in higher long-term maintenance expenses.
The town believes that either the FTTH or HFC architectures will be capable of serving the communities' data and television needs for the next 30 years.
According to the information provided, which of the following attributes is an advantage of HFC network architecture as compared with FTTH architecture?