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.
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.
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.
Two positive integers, A and B, each yield the same remainder when divided by 4. Furthermore, A is less than IS. In the table, select values for A and 5that are jointly consistent with the given information. Make only two selections, one in each column.
A company processes boxes that have a number of different dimensions. Based on the dimensions of the boxes, the company classifies all of them In three categories. A, B. and C. The table Ms some examples of boxes, their Dimensions, and their classification categories.
In order to better control traffic at a certain busy intersection, a study was conducted to determine how many vehicles passed through the intersection during various times of day and what trajectories they took. For each possible trajectory (combination of direction from which a vehicle entered the intersection and direction to which it exited the Intersection), the graph shows the number of vehicles passing through the intersection during a certain hour.
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 that Farkas and Kenyatta were both selected as reviewers for a certain recently submitted article. For each of the following statements, select YesM the statement must be true, based on this supposition and the Information provided. Otherwise, select No.
The diagram shows the proposed seating assignments at a meeting of students from two schools that are to engage in a Joint science project. Each of the three large circles represents a table. Small blue circles represent students from School X and small white circles represent students from School Y.
From the drop-down menus, select the options that create the statement that is most accurate based on the given information.
Executive: For this year, our firm's advertising budget for Brand X is four times that for last year, but only half that for the year before last. For each year, for each of our
brands, our advertising budget is 10 percent of the average (arithmetic mean) of two amounts: the brand's projected sales for the year and the brand's actual sales for the
preceding year. Actual sales of Brand X last year were $5.23 million.
Statement A: Given the executive's statements, a journalist could infer what this year's advertising budget for Brand X is if she knew what the amount of
was.
Statement B: Given the knowledge of this year's advertising budget for Brand X, if the reporter also knew Brand X's actual sales for the year before last, she could also
infer :
Select for A and for 8 two different options that, if inserted in the blanks, create statements that are supported by the statements attributed to the executive. Make only
two selections, one in each column.
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.
The artist has correctly determined that to make the largest possible square grid from the available tiles, she must use all of the except for those in the group of X tiles. Moreover, if she uses all of the tiles except for those in the group with X tiles and those in the group with Y tiles, she could make a smaller square grid.
select for X for Y the values that are consistent with the information provided. Make only two selections, one in each column.
The graph shows the mean, the median, and the mode of monthly rents for apartments in a certain European city in 2008, 2009, and 2010. During each of these years, a large number of the residents of this city rented apartments. All of the rents were In whole euros (€).
Select from the drop-down menus the options that create the statement that K most strongly supported by the information provided.
The company's choice of Mr. Frederick for the position was based mostly on his being mote of a manager than the other candidates.
In the High Middle Ages, Latin, though no one's native tongue, was the language of international scholarly communication in Europe. Petrus Alfonsi, a native Hebrew and Arabic speaker. was unquestionably the author of four twelfth-century scientific works. Some scholars also attribute to Aifonsi two later scientific texts, because of their similarity in content and doctrine to the earlier works. However, the Latin in the first four works is impeccable while that in the later texts is not furry competent. Therefore, these two could not have been composed by Alfonsi.
Which of the following, 4 true, most seriously weakens the argument above?
As a trained medical doctor and a novelist, playwright, and essayist by vocation, Afro-Colombian Manuel Zapata Olivella abandoned the practice of medicine to pursue his
literary career.
Which of the following would, if true, most help substantiate the highlighted claim In the first paragraph?
When the newly elected prime minister gave his first official speech, he took pains not to dwell on what might have been if his party should have attained a clear maim its by on how the coalition government, given sufficient time and appropriate resources, would benefit the country.
The passage Is primarily concerned with which of the following?
Which of the following is the best example of the profound changes in corporate strategy and structure discussed In the second paragraph?
For the first time, prospectors have laid claim to rich deposits of gold, silver, and copper in the deep sea, foreshadowing a possible rush to the open oceans for metals and a possible fight with conservationists over exploitation of the sea's dark recesses.
Riya: Chinese firms have had more success expancfing Wo East Africa than have firms from certain other countries in Asia, Europe, and North America. The Chinese government has coordinated with Chinese firms to have Chinese cultural productions, such as television dramas and news, translated into Swahili. These efforts helped gain acceptance by residents of the region for the Chinese firms that have expanded into the region. Thus if the governments of the other countries with businesses that seek to expand into East Africa were to emulate the Chinese government's approach, their businesses would find Just as much success.
Which of the following most clearly identifies an assumption on which Riya's argument depends?
Although mistaken in assuming a geocentric universe, the astronomer, mathematician, and geographer Ptolemy created works during the first century AD that remain impressive even today for their comprehensive attention to natural phenomena.
Wildlife management seeks to ensure that there are sufficient numbers of reproductive adults, particularly adult females, to maintain the population of any particular species at a level sustainable by the environment. This Involves setting upper limits, by sex and age, on the number of animals that hunters may take during specified periods of the hunting season. To determine these upper Smlts, wildlife managers plan to collect data about the sex and age of animals killed by hunters during each hunting season, by examining random samples of the animals' teeth. They will then use the resulting information to set the upper limits for the following year's hunting season.
Which of the following, if true, most strongly supports the prediction that the managers' plan, if implemented, will achieve the stated goal of wildlife management?
Daniel: Historically, railroads substantially altered the course of the United States economy, enabling the country to enjoy unprecedented growth in the nineteenth century.
Robert: It's true that growth required cheap inland transportation, which railroads provided. But with government support similar to the massive land grants that subsidized rapid railroad expansion, canals and roads could have had the same effect.
Which of the following is most likely a point that Robert believes is at issue between Daniel and himself?
In a study examining the neural pathway linking audtory perception to motor skills, brain scans of study participants who were tone-deaf—those unable to differentiate between or produce sounds of various pitches—revealed many fewer fibers on the arcuate fasciculus, the pathway connecting the frontal and temporal lobes, than there were In a control group of non-tone-deaf people. In 90 percent of the tone-deaf participants, researchers could not detect the superior branch of the arcuate fasciculus. The researchers concluded that they had found the anatomical cause of tone deafness.
Which of the following would, if true, indicate a major flaw in the researchers' reasoning?
What is the value of n ?
(1) Twice n equals n plus 8.
(2) n times n equals 8n.
Until the Apollo astronauts brought samples of lunar material to Earth during 196£-72, scientists believed that the Moon's surface was largely undisturbed, given its dry, airless environment. Examination of the samples has shown otherwise. Micrometeorites, many smaller than a pencil point, constantly rain onto the Moon at up to 100,000 kilometers per hour, chipping materials or forming microscopic craters. Some melt the soil and vaporize and recondense as glassy coats on other specks of dust. Impacts weld debris into lumps of heterogeneous matter called "agglutinates." Complicated interactions with solar particle streams convert iron into myriads of microscopic iron grains. The regdith—pebbles, sand, and dust-from these erosion processes blankets the Moon. Much of the top layer consists of a complex abrasive dust of microscopic glass shards that can grind machinery and sealing devices and damage human lungs.
The Apollo specimens held by the United States are doled out in ultra-small samples to scientists who demonstrate that nothing else will suffice for high-value experiments. Renewed interest In lunar exploration in the late 1980s meant that materials designed to simulate lunar regolith—simulants—were needed for research to develop schemes for lunar building and procedures for extracting elements such as oxygen found abundantly in regolith. That led to the development of JSC-1 in 1993, made of volcanic cinder cone from a quarry in Arizona in the U.S. The more than 22 metric tons made was in high demand. Efforts are now afoot to manufacture 16 metric tons of JSC-1 A, with 1 ton of fine grains, 14 tons of moderately fine, and 1 ton of coarse.
The information in the passage most strongly supports which of the following claims about the samples of lunar material brought back from the Moon by the Apollo astronauts?
Scientists for whose experiments JSC-1A would suffice are not regarded as entitled to obtain material from the samples.
Medical researcher: A study tracked fluid consumption by thousands of middle-aged peopte for several years. During the study, the people who drank the least fluid were the most Beefy to develop kidney disease. Thus, for such peopte, increasing dairy fluid consumption is likely to prevent the development of kidney disease.
Which of the following, if true, would most weaken the medical researcher's argument?
When fish or mammals ingest the chemical rotenone, enzymes In (he digestive tract metabolize most of it, rendering It harmless, but If enough rotenone enters the bloodstream, It can kill them. Wildlife managers who use rotenone in rivers or lakes to reduce fish populations claim that the practice is harmless to aquatic mammals, but clearly if enough rotenone is used to kill fish, mammals must be at risk too.
Which of the following, if true, most seriously weakens the argument?
The use o* bets in the 1998 study was intended to deflect objections that would be based on which of the following Issues?
If one of the numbers in list M is 30, is the range of the numbers in M greater than 12?
(1)
The greatest number in M is 50.
(2)
The least number in M is 25.
At a certain used-book store, the cost of each paperback book is x dollars and the cost of each hardcover book is y dollars. What is the cost of a hardcover book at the store?
(1)
At the store, the cost of 3 paperback books and 5 hardcover books is $12.25.
(2)
At the store, the cost of 9 paperback books and 15 hardcover books is $36.75.
A certain solution that is 30 percent acid is obtained by mixing a-gallons of a 20 percent acid solution with y gallons of a 60 percent acid solution, where the percents are according to volume. How many gallons of the 60 percent acid solution must be used to obtain 10 gallons of the 30 percent add solution?
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 level of nitrates was measured and recorded for 10 water samples taken at the bottom of a certain lake and for 10 water samples taken at the surface of the same lake. Was the standard deviation of the measurements from the bottom samples greater than the standard deviation of the measurements from the surface samples?
(1) The least of the measurements from the bottom samples exceeded the greatest of the measurements from the surface samples.
(2) The range of the measurements from the bottom samples was greater than the range of the measurements from the surface samples.
At a certain hospital, the number of babies born each day of the year 2002 was recorded. If 20 percent of the recorded numbers were greater than 7, was the median of the recorded numbers less than 5 ?
(1) Of the recorded numbers that were 7 or less, 75 percent were less than 5.
(2) Of the recorded numbers that were 5 or greater, 50 percent were 7 or less.
last year Country X generated 3 times as many kilowatt-hours of electricity as Country Y, but both countries generated the same amount of electricity from nuclear power plants. If Country X generated * percent of Its electricity from nuclear power plants, what percent of Country Y*s electricity was generated from nuclear power plants?
A)
B)
C)
D)
2k
E)
3k
If x ≠ 0, for which of the following sets of numbers is the average (arithmetic mean) equal to the median?
What is the value of ac(1 — b) ?
(1) bc = c
(2) ac = 1
A certain state charges no sales tax on food, but charges a sales tax of 2 percent on clothing and a sales tax of 6 percent on all other items. In this state Sarah purchased items with a total price, before tax, of $210, which Included $45 for food items and $90 for dothing items. The total sales tax on the items Sarah purchased was what percent of the total price of $210 ?
Jack's 1996 salary was x percent greater than his 1995 salary, and his 1997 salary was y percent greater than his 1996 salary. Kate's 1996 salary was y percent greater thar
her 1995 salary, and her 1997 salary was x percent greater than her 1996 salary. Was Jack's 1997 salary equal to Kate’s 1997 salary?
(1) Jack’s 1995 salary was equal to Kate’s 1995 salary.
(2) The dollar increase in Jack's salary from 1995 to 1997 was equal to the dollar increase in Kate's salary from 1995 to 1997.
At his high school, Marlon is the only member of the track team who is also a member of the tennis team. His weight of 68.5 kilograms is the median weight of the 9 members of the track team and is also the median weight of the 7 members of the tennis team. If the total weight of the members of both teams is 960 kilograms, then the median weight of the members of both teams is how many kilograms greater than the average (arithmetic mean) weight of the members of both teams?
A)
B)
C)
D)
E.
The average (arithmetic mean) of a list of 5 numbers is 50. The sum of 2 numbers in the list is 70 and the sum of 2 other numbers in the list is 110. What is the remaining number in
the list?
(1) x= y
(2) x < 1
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