银符考试题库-在线练习-GRE模拟85

GRE模拟85

SECTION 1

1. For how many positive integers m≥100 is (m-5)(m-45) positive?

A.45
B.50
C.58
D.59
E.60

2. The advertised rate for roaming charges is 0. 002 cents per second. What is that in dollars per hour?

A.7.2
B.2
C.0.72
D.0.2
E.0.072

3. If a and b are the lengths of the legs of a right triangle whose hypotenuse is 10 and whose area is 20,what is the value of (a +b)²?

A.100
B.120
C.140
D.180
E.200

Average U.S. apple prices by consumption	2001	2002	2003	2004
All sales (cents per pound)	15.80	18.90	20.90	15.80
Fresh consumption (cents per pound)	22.90	25.80	29.40	21.70
All processing (dollars per ton)	108.00	130.00	131.00	107.00
Canned (dollars per ton)	139.00	161.00	154.00	149.00
Juice and cider (dollars per ton)	83.40	104.00	103.00	73.00
Frozen (dollars per ton)	139.00	175.00	173.00	172.00
Dried (dollars per ton)	84.70	108.00	107.00	77.30

Data from U.S. Apple Association www. usapple, org.

4. Comparing 2001 to 2003 what is the approximate percentage change in value of the apple crop?
A. increase of 25%B. decrease of 25%
C. increase of 6%D. decrease of 6%
E. increase of 12%

5. Which is worth the most?

A.25% of the 2001 crop sold for juice
B.10% of the 2002 crop sold for canning
C.5% of the 2003 crop sold for freezing
D.15% of the 2004 crop sold dried
E.1% of the 2001 crop sold fresh

6. Josh works on the second floor of a building. There are 10 doors to the building and 8 staircases from the first to the second floor. Josh decided that each day he would enter by one door and leave by a different one, and go up one staircase and down another. How many days could Josh do this before he had to repeat a path he had previously taken?

A.80
B.640
C.800
D.5040
E.6400

7. In 2000 Paul was twice as old as his brother Biko. In 2008 Pau I was only four years older than his brother. In what year was Biko born?

A.1990
B.1992
C.1996
D.1998
E.2000

8. What is the average of four consecutive odd numbers starting with 2n+1?

A.4
B.2n+3
C.2n+4
D.2n+5
E.n+4

9. A certain doctor suggests that an individual's daily water intake be

ounce per pound of body weight plus 8 ounces for every 25 pounds by which the individual exceeds his or her ideal weight. If this doctor suggests a daily water intake of 136 ounces for a particular 240-pound individual, how many pounds above his or her ideal weight is that individual?
A.

B. 16 C. 30
D. 50 E. 120

10. How many positive 4-digit integers begin (on the left) with an odd digit and end with an even digit?

A.250
B.500
C.2,000
D.2,500
E.5,000

11. If x+y=16, and if x²-y²=48, then x -y=

A.3
B.4
C.6
D.32
E.36

12. If q workers can paint a house in d days, how many days will it take q+2 workers to paint the same house, assuming all workers paint at the same rate?

13. A developer has land that has x feet of lake frontage. The land is to be subdivided into lots, each of which is to have either 80 feet or 100 feet of lake frontage. If

of the lots are to have 80 feet of frontage each and the remaining 40 lots are to have 100 feet of frontage each, what is the value of x?

A.400
B.3,200
C.3,700
D.4,400
E.4,760

14. Transportation has continued to change dramatically with each generation. The last commercial innovation was electric trains, like France's TGV, which were first introduced in the early 1980s and are capable of reaching speeds of more than 185 miles an hour. The next trend in trains will most likely be the "maglevs," or magnetic levitation trains, which are designed to hover over their tracks by resting on magnetic fields and which are driven by motors with no moving parts. Once these trains are up and running, they are expected to reach speeds of more than 400 miles per hour. Which of the following would most likely be found at the beginning of this passage?

A.A discussion of different transportation methods that have been used throughout history
B.A statistical analysis of transportation trends in several countries
C.A series of portraits of the types of trains utilized throughout the history of the United States and Europe
D.An account of the technological challenges involved in engineering faster trains
E.An essay on historical transportation models

The passage focuses solely on trains, which narrows the choices to C and D. Because the structure of the passage is historical, choice C is the best option.

It sounds like the premise for a science fiction novel, but scientists are today developing a drug that could eliminate traumatic events from our memories. Thus far the research is focused on altering memories immediately following one particular type of trauma, car accidents, with promising results. But the potential applications of the research are far more wide reaching and morally ambiguous. On one hand, such a drug could provide a breakthrough in the treatment of post-traumatic stress disorder in war veterans and rape victims. On the other hand, by relegating our memories to oblivion, such a drug could fundamentally change our sense of self and personal history. It is unclear how the human brain stores memories, and much is unknown about why painful memories of traumatic events come back to haunt some and not others. But one thing is certain--as research into the technology of altering memories continues, so will the ethical debates on whether this pharmaceutical innovation falls outside the spectrum of appropriate medical interventions.

15. The main point of the passage is to

A.describe the premise of a science fiction novel
B.propose a remedy for traumatic brain injuries
C.question certain medical research
D.admit to the failings of pharmaceutical innovation
E.reject the concept of drug trials

This passage presents the pros and cons of a new medical treatment. By emphasizing the differences between the two sides and by failing to offer any resolution, the author puts the treatment into question. Consequently, choice C is the best answer.

16. Which of the following can be inferred from the passage regarding research into the memory-altering drug?

A.It is currently applicable to many types of traumatic situations.
B.Research is ongoing, and the treatment remains controversial.
C.Our sense of self as well as our personal history is essentially static.

A B C

According to the passage, many of the details of the treatment are still open to debate. We know only that research is ongoing.

17. Select the sentence that mentions a specific moral dilemma resulting from the use of a memory-altering drug.

"On the other hand...sense of self and personal history."

This sentence makes clear the potential negative consequences of using the treatment.

18. It can be inferred from the passage that

A.scientists have discovered a means by which human memories can be completely eliminated
B.only drugs that affect memory are morally ambiguous
C.ethical debates are a predictable result of certain types of scientific research

A B C

According to the passage, one thing is certain: debate will continue in this field. Therefore, it is implied that ethical debates are a predictable result of certain types of medical research.

19. An investor wants to sell some of the stock that he owns in Micro Tron and Dynaco Corporations. He can sell Micro Tron stock for $ 36 per share, and he can sell Dynaco stock for $ 52 per share. If he sells 300 shares altogether at an average price per share of $40, how many shares of Dynaco stock has he sold?

A.52
B.75
C.92
D.136
E.184

20. Which of the following sets of numbers has the greatest standard deviation?

A.2, 3, 4
B.2.5, 3, 3.5
C.1, 1.25, 1.5
D.-2, 0, 2
E.-20, 21, 21.5

21. At the time during year X when the difference between the price of ABC common stock and the price of XYZ common stock was at its greatest, the price of XYZ common stock was approximately what percent of the price of XYZ common stock and ABC common stock combined?

A.16%
B.30%
C.36%
D.42%
E.103%

22. At the time during year X when the aggregate price of ABC and XYZ stock was the greatest, the price of ABC stock was approximately what percent of the price of XYZ stock?

A.25
B.60
C.70
D.140
E.170

23. In the world of art, distinguishing the authentic piece from the forgery is not an easy feat and often requires the use of multiple experts. Millions of dollars can be at stake, yet even experts can be fooled. However, a recent discovery has introduced a new resource for galleries and other groups seeking to establish the origins of their paintings: mathematicians. Math experts were able to analyze digital images of authenticated paintings where they found consistent differences in paint texture. This consistency suggests that each artist has a unique style of brush stroke that cannot be completely duplicated. In the first two sentences of the passage, the author suggests which of the following?

A.It is nearly impossible to determine whether a painting is authentic or fake without the use of math.
B.Even if multiple experts from various fields analyze a painting, it is not always possible to determine its authenticity.
C.New discoveries in art always lead to a greater degree of truth.
D.Art can be difficult to analyze, but mathematical models can help to find the truth.
E.Mathematicians have a great degree of expertise in analyzing art.

The first two sentences tell the reader that even multiple experts can be fooled into believing that a forged painting is authentic. This thought best matches choice B.

For generations, Native Americans used myths and legends to explain the mysterious world around them. One such etiological myth originated with the Cherokee. According to the tale, at one time, far in the past, animals, birds, fishes, and even insects were able to communicate with one another. When humans arrived, however, life became more difficult because the creatures' habitats began to shrink. In order to protect themselves, the creatures decided to introduce disease to humans. The plant world, however, took sympathy upon the Cherokee and so provided a remedy for each of the diseases created by the creatures. It was because of this, says the legend, that the Cherokee turned to plants for antidotes and medicines for illness.

24. Which of the following describes the organization of the passage?

A.The author defines a theory then illustrates its workings.
B.The author argues for one side then presents a counterargument.
C.The author defends an early explanation of aboriginal medical practices.
D.The author introduces a subject then gives an example of it.
E.The author compares two versions of a creation myth to determine which is the original.

In this passage, the author introduces the subject of etiological myths (these legends are also called 'just-so stories') and then gives an example of one from Cherokee mythology. This best matches choice D.

25. The author mentions etiological myth probably in order to

A.cast aspersion on Cherokee legends
B.give the academic designation for legends that explain practices or events
C.show how animals were thought by the Cherokee to be able to communicate with each other

A B C

The author describes a type of legend that explains some aspect of the world then labels it with its academic name. Choice A is too negative in tone to be correct. Choice C is too narrow in scope.

Data from the lnternet Hockey database; salaries from Hockey Zone Plus.

26. In which season did Jagr earn the most money per game?

A.1994-1995
B.1995-1996
C.1996-1997
D.1997-1998
E.1998-1999

27. In which season did Jagr average the most points per game?

A.1990-1991
B.1995-1996
C.1996-1997
D.1997-1998
E.1998-1999

28. In a normal distribution, 68% of the scores lie within one standard deviation of the mean. If the SAT scores of all the high school juniors in Center City followed a normal distribution with a mean of 500 and a standard deviation of 100, and if 10,200 students scored between 400 and 500, approximately how many students scored above 600?

A.2,400
B.4,800
C.5.100
D.7,200
E.9,600

29. In many Western European nations, the law is seen as rigid and not open to interpretation. This rigidity grants a consistency to questions of law that many would argue is absent in other, more flexible systems. The European construction of law provides litigants with a clear picture of how a case will be decided. All parties involved are certain how judges will rule on issues. It is simple--judges will strictly follow the law. This simple fact, that the law will not change from one situation to another, allows for court systems in Western Europe to process cases efficiently and cuts down on the amount of frivolous lawsuits. It is useless for an individual to attempt a case if he knows in advance that the law is not in his favor. In the passage, the author is primarily concerned with

A.arguing for a universal application of Western European legal practices
B.decrying the rigidity and constancy of Western European legal practices
C.describing the potential benefits of Western European legal systems
D.defining the pros and cons of various legal systems
E.denouncing European law for its anti-consumer bias

The adjectives "efficiently" and "frivolous" indicate that the author approves of Western European legal systems. This supports choice C. The verbs in choices A, B, and E all connote the wrong tone.

30. Which of the following is an equation of a line that is perpendicular to the line whose equation is 2x+3y=4?
Indicate all such equations.

A.3x+2y=4
B.3x-2y=4
C.2x-3y=4
D.4-3x=-2y
E.4+2x=3y

31. If the average vehicle occupancy rate for commuters to County X were to increase to 2.8, what would be the approximate percent increase in the occupancy rate?

A.46%
B.54%
C.87%
D.115%
E.215%

32. If the total number of commuters to County W is twice the number to County Z, and if the average number of vehicles that transport commuters daily to County W is 30,000, what is the approximate average number of vehicles that transport commuters daily to County Z?

A.12,000
B.15,000
C.18,000
D.27,000
E.36,000

33. Eli Whitney's cotton gin famously changed the face of the agricultural industry by greatly increasing productivity. Although the gin was enormously popular, Whitney himself struggled to make a profit from it. After receiving a patent for his invention, Whitney and his business partner opted to produce as many cotton gins as possible and to charge farmers a user fee instead of selling them outright. Farmers considered this fee unnecessary and exorbitant, and began manufacturing copies of the cotton gin instead. Because of a loophole in the patent law, the many lawsuits brought by Whitney and his partner against the farmers were fruitless. The duo finally agreed to license their cotton gins at a reasonable price. However, due to the costs of their legal battles, they were unable to make the fortune that Whitney had previously predicted. According to the passage, which one of the following was an obstacle in implementing widespread use of Whitney's cotton gin?

A.Whitney's reluctance to seek a patent for his cotton gin
B.The high fees being charged to farmers for the use of Whitney's cotton gin
C.The negative impact of Whitney's cotton gin on the economy of the south
D.Whitney's inability to profit from his invention
E.Whitney's reliance on a loophole in the patent law

According to the passage, farmers considered Whitney's fee to be exorbitant and they refused to use his gin.

SECTION 2
When I was preparing for my two-week vacation in southern Africa, I realized that the continent would be like nothing I had ever seen. I wanted to explore the urban streets as well as the savannah; it's always been my goal to have experiences on vacation that most other tourists fail to find. When my plans were finalized, I left for Africa. The cultural differences were stunning, and made for plenty of laughter and confusion, but always ended up bringing smiles to our faces. What's funny now, though, more than ever, is how ridiculous I must have seemed to the people of one village when I played with their dog. Apparently, the role of dogs in America is nothing like it is in Africa.
I am convinced that African dogs could clobber their American counterparts, if only because African dogs are forced to be self-reliant. The relationship between a typical African dog and his owner is one of tangible mutualism. I say tangible because the African sees himself as the dominant creature not to be bothered by the dog, but nevertheless responsible for providing for it. Hence, no attempts at behavioral training are ever made with African dogs. Instead, the African seizes power with a chunk of scrap meat and a bowl of water. The dog soon learns to quit yapping and biting at the hand that feeds him. Never does the African speak to the animal. I'm not even sure such dogs get names. Their behavior becomes interestingly balanced, however, much to the surprise of the compassionate American dog lover.

1. According to information provided by the passage, which of the following traits would the author most likely ascribe to African dog owners?

A.affectionate
B.abusive
C.pragmatic
D.deceitful
E.antagonistic

According to the passage, Africans do not speak to their dogs or give them names, which would eliminate "affectionate." However, the relationship is never described in negative terms. Instead, its "tangible mutualism" implies a pragmatic or practical approach.

2. The author of the passage is primarily concerned with presenting

A.a description of cultural differences
B.an overview of animal behavior
C.a history of international tourism
D.evidence to refute a global theory
E.an account of animal cruelty

The best answer is A. The passage sets up a description of the relationship between Africans and their dogs by contrasting it with the same relationship in America. This comparison of cultural differences supports answer choice A.

3. The passage addresses which of the following differences between African dogs and American dogs?

A.African dogs do not have owners, whereas American dogs do.
B.African dogs undergo intense behavioral training, while American dogs remain untrained.
C.African dogs learn to respect their owners, but American dogs cannot be disciplined.
D.African dogs retain more independence from their owners than do American dogs.
E.African dogs are more dominant over their owners than are American dogs.

According to the passage, African dogs are more self-reliant than American dogs. This implies that they retain more independence from their owners than American dogs.

Sometimes an object in nature is so rare that it escapes mention in nature books. Such is the case with the delightful Kirtland's warbler. The Kirtland's warbler is a plump, yellow-breasted bird that can be found nesting almost exclusively in the upper half of Michigan's Lower Peninsula. Although this bird does migrate to the Bahamas during the winter months, Michigan is its natural habitat. Unfortunately, reduced numbers have caused the Kirtland's warbler to be designated an endangered species. The remaining Kirtland's warblers now enjoy living among the jack pine trees located in protected Michigan forests. The male warblers generally return north before the female birds. Often, they return as early as May. When they arrive, the male warblers stake out their territories and choose a nesting area. At the completion of their own long journey from the Bahamas, the female warblers begin to collect leaves and grass to build their nests. Oddly, the Kirtland's warbler nests on the ground and not in the nearby jack pine trees themselves. During the nesting process, the male warbler provides food for his mate while the female Kirtland's warbler lays four to five speckled eggs. The eggs hatch in two to three weeks and both the male and female warblers tend to their chicks.

4. The passage implies that the author is

A.disinterested in the fate of Kirtland's warbler
B.a proponent of Kirtland's warbler
C.a native of Michigan who travels to the Bahamas
D.reluctant to discuss the migratory patterns of Kirtland's warbler
E.annoyed that Kirtland's warbler is not mentioned in nature books

The passage is a generally scientific description of the Kirkland's warbler. The tone is mostly neutral, with a slightly positive bent. This tone and main subject matter support answer choice B. Note that while the bird is a native of Michigan, nothing in the passage indicates that the author must also be one.

5. In the first two sentences of the passage, the author is mostly likely suggesting that

A.Kirkland's warblers do not merit mention in nature books
B.birds that migrate are considered native to the place where they build their nests
C.many bird species are so rare that they escape mention in nature books
D.most bird species in Michigan are well documented in scientific literature
E.Kirkland's warblers are little known because of their limited numbers

Choice E restates the main idea of the first two sentences. The difference between A and E is primarily that of tone. The author is slightly positive about the birds (e.g., "the delightful Kirkland's warbler), which would eliminate choice A. Choice C is too general, while choice B refers to information later in the passage.

6. Which of the following most logically completes the passage?

A.Male and female warblers generally eat small insects.
B.Most native species of birds only lay three to four eggs.
C.Other Michigan-native birds species also nest on the ground.
D.Five weeks after the eggs hatch, the fledglings are able to survive on their own.
E.While the birds nest on the ground, the jack pine trees offer unique protection.

The passage concludes with a timeline of the warblers' nesting behaviors. Choice D continues that timeline to the point where the hatchlings are ready to leave the nest. Therefore, it is the best choice to end the passage.

Questions : See the graphs on the fol.-lowing page for information to answer the questions.
Adult education participation rates in the past 12 months: 1991 and 1995

7. Each of the following is a valid conclusion from the graphs and the fact that the population of the United States was greater in 1995 than in 1991 EXCEPT

A.In 1991, adults whose highest degree was at least a bachelor's degree were more than twice as likely to participate in adult educa-tion than those whose highest educational attainment was a high school diploma or GED (high school equivalency diploma..
B.On a percentage basis, from 1991 to 1995, the greatest increase in the adult education par-ticipation rate was among those adults whose highest educational attainment was grades 9-12, without earning a high school diploma.
C.In 1995, more people participated in adult edu-cation programs than in 1991.
D.From 1991 to !995 the rate of participation in adult education among the groups represented in the graphs increased the least for those who had attained at least a bachelor's degree.
E.In 1995, more adults with at least a bachelor's degree participated in adult education than did adults who attended some college but did not earn a college degree.

Each of the given statements is true except Choice E.
(A) In 199l, more than 50% of the adults whose highest degree was at least a bachelor's degree participated in adult education, whereas among those whose highest educational attain-ment was a high school diploma or GED (high school equivalency diploma) fewer than 25% participated.
(B) From I991 to 1995, among those adults whose highest educational attainment was grades 9-12, without earning a high school diploma, the rate of participation in adult edu-cation increased from about 15% to 23%, an increase of about 50%. None of the other groups had nearly that great an increase.
(C) Since the population of the country grew between 1991 and 1995, and the rate of par-ticipation in adult education programs increased in every category, the total number of people participating had to increase.
(D) From 1991 to 1995 the rate of participa-tion in adult education for those who had attained at least a bachelor's degree increased from about 52% to 58%, the least increase of any group on both an absolute and percent basis.
(E) Without knowing how many adults have earned a college degree and how many have attended'some college without earning a col-lege degree, it is impossible to make this ,con-clusion. For example, 50% of 100,000,000 is much more than 58% of 50,000,000.

8. If in the United States in 1995, there were 50 mil-lion employed adults and 20 million adults not in the the labor force, then approximately what was the ratio of the number of employed adults participating in adult education to the number of people not in the labor force participating in adult education?
A. 5:4B. 5:2C. 10:3 D. 5:1 E. 6:l

50% of 50,000,000 = 25,000,000; 20% of 20,000,000 = 4,000,000.
25,000,000:4,000,000 = 25:4 = 6.25:1.

9. Bob and Jack share an apartment. If each month Bob pays a dollars and Jack pays b dollars, what percent of the total cost does Bob pay?

The total rent is a + b, so Bob's fractional share is

. To convert to a percent, simply multiply by 100%:

**Use TACTIC 2, Chapter 11. Pick two easy-to-use numbers. If Bob pays $1 and Jack pays $2, then Bob pays

of the rent. Only

is equal to

when a = and b = 2.

10. Human fascination with space began hundreds of years ago. That interest has not waned, and today, the Hubble Telescope orbits 375 miles above Earth, working nonstop to unlock the secrets of the universe. The Hubble uses state-of-the-art instruments to provide amazing views of the universe that cannot be matched by ground-based telescopes. The reason for this is that, from the ground, we look at stars and other objects in space through Earth's atmosphere. Our atmosphere is full of clouds, dust, and pollution, which cause everything we see to shimmer and shake. This effect creates difficulty for scientists on the ground to make steady, accurate measurements of objects moving in space. With assistance from the Hubble Telescope, astronomers can pinpoint the location of faraway stars and galaxies, and measure the speeds and distances of astronomical objects with far greater precision. Astronomers may even one day tell us exactly when the universe began. The author suggests that "steady, accurate measurements" can be difficult to attain because

A.scientists frequently introduce unnecessary complications to simple situations
B.Earth-based telescopes are insufficiently precise due to atmospheric dust and pollution
C.due to Earth's constant rotation, it is nearly impossible to pinpoint exact distances in outer space
D.most telescopes require regular repair missions when their cameras aren't functioning properly
E.astronomers are not yet able to tell us exactly when the universe began

The sentence just before the one describing "steady, accurate measurements" explains that Earth's atmosphere is full of particles that cause distortion for telescopes. The passage also makes clear that all Earth-based telescopes are affected by Earth's atmosphere.

11. In which of the following pairs of years were the ratios of Republican receipts to Democratic receipts most nearly equal?

A.1981-82 and 1985-86
B.1983-84 and 1995-96
C.1987-88 and 1989-90
D.1987-88 and 1995-96
E.1991-92 and 1993-94

For each of the pairs of years in question, use the graph to approximate the ratio of Republican to Democratic receipts. For exam-ple, in 1981-82, Republican receipts were slightly over $200 million and Democratic receipts were about $40 million, a ratio of 5: 1.
The only two pairs of years in which the ratio was very close were 1987-88 and 1989-90; in both of those pairs of years the ratio was very nearly 2:1.

12. Between which two consecutive two-year periods was there the greatest percent increase in the Democratic receipts?

A.1981-82 to 1983-84
B.1985-86 to 1987-88
C.1989-90 to 1991-92
D.1991-92 to 1993-94
E.1993-94 to 1995-96

In 1981-82 the Democratic receipts were about $40 million and in 1983-84 they had increased to about $100 million, an increase of 150%. From 1991-92 to 1993-94 (Choice D), receipts decreased. During the periods covered by Choices B, C, and E, receipts increased, but by less than 150%.

We packed early. An 8 a.m. international flight, especially one to be taken with children, demands strict attention to detail and advance preparation. But with that chore finished, it was time to spend one last afternoon in Paris. We chose to see the Louvre. We planned our visit strategically: the Mona Lisa, of course, followed by the Venus De Milo. The Napoleon buff in our party insisted on seeing the Jacques Louis David's seemingly life-sized painting of the emperor's coronation, while the children were thrilled by the Egyptian mummies. I think we walked for miles.
Despite the frenetic pace, we saw only a fraction of the museum before it was time to head home--home being a tiny, sixth-floor apartment in the 10th arrondissement. Sitting amongst our suitcases, we flipped through our souvenirs and swapped stories with our host until bedtime. Lifting a glass toward our window view of a sparkling Eiffel Tower, we toasted each other--and a beautiful day in Paris.

13. Which of the following is implied about the visit to the Louvre?

A.The Louvre is the largest, most comprehensive art museum in the world.
B.The visit was exhausting and inappropriate for small children.
C.The visit encompassed diverse tastes.

A B C

According to the passage, the tour of the Louvre included statuary, paintings, and mummies. These diverse elements best support choice C.

14. In the passage, the author is primarily concerned with

A.emphasizing the immense diversity of art to be found at the Louvre museum
B.describing the challenges of international travel with children
C.complaining about inadequate accommodations in Europe
D.giving an account of her last day in Paris
E.bragging about her foreign vacation

While the passage does mention the points made in choices A and B, only choice D properly captures the scope of the passage.

15. Making snow angels usually falls under the category of children's winter recreation, but in early 2007, the process took on a whole new meaning. Almost 9,000 people gathered on the state Capitol grounds in Bismarck, North Dakota, to set a new world's record for the most people making snow angels at one time. They were determined to break Michigan's record of 3,784. Participants ranged from families with children to snowplow drivers. One woman was there to mark her 99th birthday! Kids of all ages flapped their arms in the snow and a young baby even made a snow angel by having her car seat spun in circles. In the context in which it appears, "mark" most nearly means

A.memorialize
B.remember
C.identify
D.define
E.celebrate

It is implied that the 99th birthday was happening in the present, not something in the past to be remembered. It can also be assumed to be a positive occasion, not a neutral one. For these reasons, "celebrate" is the best choice.

16. "Joy is the holy fire that keeps our purpose warm and our intelligence aglow. Work without joy shall be as nothing. Resolve to keep happy, and your joy and you shall form an invincible host against difficulties." This quote becomes yet more inspirational upon learning it comes from Helen Keller, a remarkable woman who overcame both blindness and deafness. Her decision to be joyful despite adversity no doubt contributed to her many impressive accomplishments. She succeeded in learning to communicate, and reached out to others with her meaningful speeches and writings. Which of the following statements is most analogous to the quotation presented in the passage?

A.Fire is an essential tool when respected and attended, but a massive destructive force if allowed to spread out of control.
B.A child's mind is absorptive like the driest sponge, so great care must be taken to keep poisonous notions from infiltrating it.
C.Sorrowful resignation remains the genius' malady, for truth and knowledge weigh heavy on the heart.
D.Find your true purpose in life and your days will be filled with peace and harmony, your troubles will be few.
E.Enthusiasm raises the sunken spirit and fosters creativity in even the most hardened heart.

Joy is the theme of Helen Keller's exhortation. Happiness will inspire you and urge you to work harder. Therefore, choice E, which states that enthusiasm can accomplish the same things, is the most analogous statement.

Directions: In the following questions, choose the best answer from the five choices listed.

17. Camille's average on her 6 math tests this marking period is 75. Fortunately for Camille, her teacher drops each student's lowest grade, and this raises her average to 85. What was her lowest grade?
A. 20B. 25C. 30D. 40E. 50

On six tests combined, Camille earned a total of 6 × 75 = 450 points [TACTIC El].
The total of her five best grades is 5 × 85 = 425 points, so her lowest grade was 450 -425 = 25.
**Assume that Camille's five best grades were each 85. Then each one has a deviation of 10 points above the average of 75, and the total deviation above 75 is 5 × 10 = 50 points. Therefore, her one bad grade must have been 50 points below 75.

18. What is the surface area in square inches of a cube whose volume is 216 cubic inches?
A. 36B. 54C. 216D. 324E. 1296

Since the volume of the cube is 216 cubic inches, we have e³ = 216

e = 6. The area of each face is e² = 36 square inches, and since there are six faces, the total surface area is 6 × 36 = 216 square inches.

19. Last year Leo bought two paintings. This year he sold them for $2000 each. On one, he made a 25% profit, and on the other he had a 25% loss. What was his net loss or profit?

A.He broke even.
B.He lost less than $100.
C.He lost more than $100.
D.He earned less than $100.
E.He earned more than $100.

On the first painting, Leo made a 25% profit, so if he bought it for x, he sold it for
x + .25x = 1.25x = 2000

x = 2000 + 1.25 = 1600.
His profit was $400. On the second painting, Leo lost 25%, so if he bought it for y, he sold it for
y -.25y = .75y = 2000

y = 2000 + .75 = 2666.67.
His loss was $666.67. In all, he lost $266.67,
which is more than $100.
**In these types of problems you never break even. Eliminate A. When you make a profit,
your purchase price is less than your selling price, and when you incur a loss, your pur-chase price is greater than your selling price.
So the first painting cost less than $2000 and the second cost more than $2000. So Leo earned 25% of a small amount and lost 25% of a large amount. He surely lost money. Eliminate D and E. If you can't solve as above, guess between B and C.

Directions: In the following questions, choose the best answer from the five choices listed.

20. If it is now June, what month will it be 400 months from now?

A.January
B.April
C.June
D.October
E.December

Since 400= 12×33+4, 100 months is 4 months more than 33 years. So 33 years from now it will again be June, and 4 months later it will be October. [See Section 14-P] **Look for a pattern. Since there are 12 months in a year, after every 12 months it will again be June; i.e., it will be June after 12, 24, 36, 48 120 360 months. So, 396 (33 × 12) months from now, it will again be June. Count 4 more months to October.

21. If

of the members of the school chorus are boys, what is the ratio of girls to boys in the chorus?

Use TACTIC 3 in Chapter 11: pick an easy-number. Since

of the members to-use are boys, assume there are 9 members, 5 of whom are boys. Then the other 4 are girls, and the ratio of girls to boys is 4 to 5, or

22. What is the volume of a cube whose total surface area is 54?
A. 9B. 27C. 54D. 81E. 729

Since the surface area is 54, each of the six faces of the cube is a square whose area is 54 + 6 = 9. Then each edge is 3, and the volume is 3³ = 27.

Total enrollment in higher education institutions, by control
and type of institution: Fall 1972-95

23. In 1995 the number of students enrolled in public institutions of higher education was approximately how many times the number of students enrolled in private institutions of higher education?
A. 2B. 2.5C. 3D. 3.5E. 4

From the bottom graph, we can estimate the percentage distribution of total enrollment to be:
Public 4-year 41%
Private 4-year 21%
Public 2-year 37%
Private 2-year 1%
Total public 78%
Total private 22%
78 -22 = 3.5, so there were 3.5 times as
many students enrolled in public institutions as private ones.

24. If the total enrollment in institutions of higher education in 1972 was 5,000,000. approximately how many students were enrolled in private 4-year institutions in 1995?

A.1,000,000
B.1,100,000
C.1,250,000
D.1,500,000
E.1,650,000

In 1972, enrollment in private 4-year institutions was approximately 1,100,000 (22% of the total enrollment of 5,000,000). By 1995, the index for private 4-year institutions had increased from 80 to 120, a 50% increase.
Therefore, the number of private 4-year students enrolled in 1995 was approximately 1,650,000 (50% more than the 1,100,000 students enrolled in 1972).

25. "Joy is the holy fire that keeps our purpose warm and our intelligence aglow. Work without joy shall be as nothing. Resolve to keep happy, and your joy and you shall form an invincible host against difficulties." This quote becomes yet more inspirational upon learning it comes from Helen Keller, a remarkable woman who overcame both blindness and deafness. Her decision to be joyful despite adversity no doubt contributed to her many impressive accomplishments. She succeeded in learning to communicate, and reached out to others with her meaningful speeches and writings. Which of the following statements is most analogous to the quotation presented in the passage?

A.Fire is an essential tool when respected and attended, but a massive destructive force if allowed to spread out of control.
B.A child's mind is absorptive like the driest sponge, so great care must be taken to keep poisonous notions from infiltrating it.
C.Sorrowful resignation remains the genius' malady, for truth and knowledge weigh heavy on the heart.
D.Find your true purpose in life and your days will be filled with peace and harmony, your troubles will be few.
E.Enthusiasm raises the sunken spirit and fosters creativity in even the most hardened heart.

Percentage of students who reported spending time on homework
and watching television

26. In 1996, what percent of fourth-graders did between 1 and 2 hours of homework per day?
A. 5%B. 15%C.25%
D. 40%E. 55%

From the top graph, we see that among fourth-graders in 1996:
25% did no homework;
55% did less than 1 hour;
5% did more than 2 hours.
This accounts for 85% of the fourth-graders;
the other 15% did between 1 and 2 hours of homework per day.

27. If in 1984 there were 2,000,000 eleventh-graders, and if between 1984 and 1996 the number of eleventh-graders increased by 10%, then approximately how many more eleventh-graders watched 1 hour or less of television in 1996 than in 1984?
A. 25,000B. 50,000C. 75,000
D. 100,000g. 150,000

A B C D

In 1984, approximately 540,000 eleventh-graders watched television 1 hour or less per day (27% of 2,000,000). By 1996, the number of eleventh-graders had increased by 10% to 2,200,000, but the percent of them who watched television 1 hour or less per day decreased to about 18%: 18% of 2,200,000 is 396,000. This is a decrease of 144,000, or approximately 150,000.

28. Which of the following expresses the area of a cir-cle in terms of C, its circumference?

Since C = 2πr, then

and area of circle =

29. Thousands of years ago, royalty of diverse cultures were often buried in extremely lavish tombs that they themselves commissioned in preparation for their inevitable deaths. About 2,200 years ago, a Chinese emperor named Qin Shihuang had such a tomb prepared. At the age of thirteen, Qin Shihuang had succeeded his father as emperor. The boy was very aggressive and ambitious. He assumed full power at the age of 22 by ridding himself of his rival, a man who had controlled the throne while Qin Shihuang was a minor. Qin Shihuang's goal was to unify and subjugate all of the Chinese states using his powerful political, economic, and military strength. Despite an ongoing quest for immortality, Qin Shihuang died while traveling at the age of 49. Although he has been dead for centuries, historians can continue to learn of his life by studying the artifacts found in the extravagant tomb in which he was laid to rest. According to the passage, Qin Shihuang can best be described as

A.benevolent
B.modest
C.spontaneous
D.insightful
E.ruthless

The adjectives used to describe Qin Shihuang include "aggressive" and "ambitious." He is also said to have attempted to "subjugate" all of the Chinese states by force. All of these descriptions support choice E.

30. Directions: The next questions are based on the content of the following passage. Read the passage and then determine the best answer choice for each question. Base your choice on what this passage states directlyor implies, not on any information you may have gained elsewhere.
For each of Questions, select one answer choice unless otherwise instructed.
Questions are based on the following passage.
As the works of dozens of women
writers have been rescued from what E. P.
Thompson calls "the enormous condescen-
Line sion of posterity," and considered in relation
(5) to each other, the lost continent of the
female tradition has risen like Atlantis from
the sea of English literature. It is now
becoming clear that, contrary to Mill's the-
ory, women have had a literature of their
(10) own all along. The woman novelist, accord-
ing to Vineta Colby, was "really neither sin-
gle nor anomalous," but she was also more
than a "register and spokesman for her age."
She was part of a tradition that had its ori-
(15) gins before her age, and has carried on
through our own.
Many literary historians have begun to
reinterpret and revise the study of women
writers. Ellen Moers sees women's literature
(20) as an international movement, "apart from,
but hardly subordinate to the mainstream:
an undercurrent, rapid and powerful. This
'movement' began in the late eighteenth cen-
tury, was multinational, and produced some
(25) of the greatest literary works of two centuries,
as well as most of the lucrative pot-boilers."
Patricia Meyer Spacks, in The Female
Imagination, finds that "for readily discernible
historical reasons women have characteristi-
(30) cally concerned themselves with matters more
or less peripheral to male concerns, or at least
slightly skewed from them. The differences
between traditional female preoccupations
and roles and male ones make a difference in
(35) female writing." Many other critics are begin-
ning to agree that when we look at women
writers collectively we can see an imaginative
continuum, the recurrence of certain pat-
terns, themes, problems, and images from
generation to generation. In the second paragraph of the passage the author's attitude toward the literary historians cited can best be described as one of

A.irony
B.ambivalence
C.disparagement
D.receptiveness
E.awe

The author opens the paragraph by stating that many literary critics have begun reinterpreting the study of women's literature. She then goes on to cite individual comments that support her assertion. Clearly, she is receptive or open to the ideas of these writers, for they and she share a common sense of the need to reinterpret their common field.
Choices A and B are incorrect. The author cites the literary critics straight- forwardly, presenting their statements as evidence supporting her thesis.
Choice C is incorrect. The author does not disparage or belittle these critics. By quoting them respectfully she implicitly acknowledges their competence.
Choice E is incorrect. The author quotes the critics as acknowledged experts in the field. However, she does not look on these critics with awe (an overwhelming feeling of reverence, admiration, or fear).

Total enrollment in higher education institutions, by control
and type of institution: Fall 1972-95

31. In 1995 the number of students enrolled in public institutions of higher education was approximately how many times the number of students enrolled in private institutions of higher education?
A. 2B. 2.5C. 3D. 3.5E. 4

32. If the total enrollment in institutions of higher education in 1972 was 5,000,000. approximately how many students were enrolled in private 4-year institutions in 1995?

A.1,000,000
B.1,100,000
C.1,250,000
D.1,500,000
E.1,650,000

Average expected family contribution (EFC) for dependent students,
by family income: Academic year 1995-96

33. A family's unmet need (which must be covered by a financial aid package. is defined to be the total cost of attending an institution of higher education minus the expected family contribution. What is the unmet need of a family whose income is $55,000 and who has a child attending a 4-year public university?
A. $700B. $3300C. $6800
D. $7500E. $12,500

The average expected family contribution of a family with an income between $50,000 and $59,000 is about $7,500. Since the average cost of attending a 4-year public university is $10,800, there is an unmet need of $10,800 -$7,500 = $3,300.

34. If family A has an income of $95,000 per year, and family B has an income of $35,000 per year, and each has a child attending a 4-year public university, to the nearest $1000, how much more would family A be expected to pay than family B?
A. $4000B. $7000C. $10,000
D. $12,000E. $15,000

Family A would be expected to pay $10,800, the full annual cost for a 4-year public univer-sity. Family B would be expected to pay approximately $3,500. Therefore, family A would pay $10,800 -$3,500 = $7,300 more.

SECTION 1

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SECTION 2

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