GMAT真题2

Math Section------------------------------------------------------------------------------------------------------------ Q1:A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost per ounce of the family-size box of cereal?(1) The family-size box of cereal contains 10 ounces more than the regular-size boxof cereal.(2) The family-size box of cereal costs $5.40.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q2:A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?A.0B.1/9C.2/9D.1/3E. 1Answer:------------------------------------------------------------------------------------------------------------ Q3:If x and y are positive, is 4x > 3y?(1) x > y - x(2) x/y < 1A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q4:If n is the product of the integers from1 to 20 inclusive, what is the greatest integer k for which 2k is a factor of n?A.10B.12C.15D.18E.20Answer:------------------------------------------------------------------------------------------------------------ Q5:Is x > k?(1) 2x • 2k = 4(2) 9x • 3k = 81A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q6:If x and y are positive, what is the value of x – y?(1) (x2 – y2) / (x + y) = 4(2) x + y= 7A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q7:A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?A.5/12B.2/5C.1/2D.3/4E.5/6Answer:------------------------------------------------------------------------------------------------------------ Q8:In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1977 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?(1) From 1977 to 1997 the number of female employees increased by 200 percent atCompany C.(2) In 1977 there were 100 female employees at Company C.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q9:A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?A.1/12B.1/6C.1/5D.1/3E.1/2Answer:------------------------------------------------------------------------------------------------------------ Q10:A set of numbers has the property that for any number t in the set, t + 2 is in the set. If –1 is in the set, which of the following must also be in the set?I.-3II. 1III. 5A. I onlyB. II onlyC. I and II onlyD. II and III onlyE. I, II, and IIIAnswer:------------------------------------------------------------------------------------------------------------Q11:In a corporation, 50 percent of the male employees and 40 percent of the female employees are at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?A.3/5B.2/3C.3/4D.4/5E.5/6Answer:------------------------------------------------------------------------------------------------------------ Q12:If n is an integer and 2 < n < 6, what is the value of n?(1) n is a factor of 15.(2) n is a factor of 21.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q13:If x and y are positive, is 3x > 7y?(1) x > y + 4(2) -5x < -14yA. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q14:If 1050– 74 is written as an integer in base 10 notation, what is the sum of the digits in that integer?A.424B.433C.440D.449E.467Answer:------------------------------------------------------------------------------------------------------------ Q15:Ann, Carol, and Judy paid a total of $45 for their dinner at a restaurant. If Ann paid 2/5 of the total amount, Carol paid $17, and Judy paid the rest, what fraction of the total amount did Judy pay?A.2/9B.14/45C.1/3D.2/5E.7/15Answer:------------------------------------------------------------------------------------------------------------ Q16:If J, S, and V are points on the number line, what is the distance between S and V?(1) The distance between J and S is 20.(2) The distance between J and V is 25.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q17:In Town X, 64 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females?A.16%B.25%C.32%D.40%E.52%Answer:------------------------------------------------------------------------------------------------------------ Q18:Note: Figure not drawn to scale.The figure shows a square patio surrounded by a walkway of width x meters. If the area of the walkway is 132 square meters and the width of the patio is 5 meters greater than the width of the walkway, what is the area of the patio, in square meters?A.56B.64C.68D.81E.100Answer:------------------------------------------------------------------------------------------------------------ Q19:A total of $60,000 was invested for one year. But of this amount earned simple annual interest at the rate of x percent per year, and the rest earned simple annual interest at the rate of y percent per year. If the total interest earned by the $60,000 for that year was $4,080, what is the value of x?(1) x = (3/4) y(2) The ratio of the amount that earned interest at the rate of x percent per year tothe amount that earned interest at the rate of y percent per year was 3 to 2.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q20:If x > 0, t hen 1/[√(2x)+√x] =A.1/√(3x)B.1/[2√(2x)]C.1/(x√2)D.(√2-1)/√xE.(1+√2)/√xAnswer:------------------------------------------------------------------------------------------------------------Q21:When Leo imported a certain item, he made a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that Leo paid was $87.50, what was the total value of the item?A.$1,600B.$1,850C.$2,250D.$2,400E.$2,750Answer:------------------------------------------------------------------------------------------------------------ Q22:In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 16th, 17th, and 18th terms in the sequence?A.218B.3(217)C.7(216)D.3(216)E.7(215)Answer:------------------------------------------------------------------------------------------------------------ Q23:In the xy-plane, point (r, s) lies on a circle with center at the origin. What is the value of r2 + s2?(1) The circle has radius 2.(2) The point (√2, -√2) lies on the circle.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q24:If w and c are integers, is w > 0?(1) w + c > 50(2) c > 48A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q25:A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?A.5B. 6C.9D.24E.36Answer:------------------------------------------------------------------------------------------------------------ Q26:Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?A.4B. 6C.8D.10E.12Answer:------------------------------------------------------------------------------------------------------------ Q27:If n = 811– 8, what is the units digit of n?A.0B. 1C. 4D.6E.8Answer:------------------------------------------------------------------------------------------------------------ Q28:For any positive integer n, the sum of the first n positive integers equals [n(n+1)]/2. What is the sum of all the even integers between 99 and 301?A.10,100B.20,200C.22,650D.40,200E.45,150Answer:------------------------------------------------------------------------------------------------------------ Q29:June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note: 1984 was a leap year.)A.SundayB.MondayC.TuesdayD.WednesdayE.ThursdayAnswer:------------------------------------------------------------------------------------------------------------ Q30:Joanna bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?(1) She bought $4.40 worth of stamps.(2) She bought an equal number of $0.15 stamps and $0.29 stamps.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q31:A positive integer n is said to be “prime-saturated” if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two-digit prime-saturated integer?A.99B.98C.97D.96E.95Answer:------------------------------------------------------------------------------------------------------------ Q32:For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person. What is the charge for each additional person?(1) The daily cost per person for 4 people sharing the cost of a room equally is $45.(2) The daily cost per person for 2 people sharing the cost of a room equally is $25more than the corresponding cost for 4 people.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q33:Is xy > x/y?(1) xy > 0(2) y < 0A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q34:The function f is defined by f(x) = - 1/x for all nonzero numbers x. If f(a) = - 1/2 and f(ab) = 1/6, then b =A.3B.1/3C.- 1/3D.-3E.–12Answer:------------------------------------------------------------------------------------------------------------ Q35:What is the median number of employees assigned per project for the projects at Company Z?(1) 25 percent of the projects at Company Z have 4 or more employees assigned toeach project.(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned toeach project.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q36:Each signal that a certain ship can make is comprised of 3 different flags hanging vertically in a particular order. How many unique signals can be made by using 4 different flags?A.10B.12C.20D.24E.36Answer:------------------------------------------------------------------------------------------------------------ Q37:A jar contains 16 marbles, of which 4 are red, 3 are blue, and the rest are yellow. If 2 marbles are to be selected at random from the jar, one at a time without being replaced, what is the probability that the first marble selected will be red and the second marble selected will be blue?A.3/64B.1/20C.1/16D.1/12E.1/8Answer:------------------------------------------------------------------------------------------------------------ ------------------------------------------------------------------------------------------------------------ Answers:ECEDC, ACDBD, DBBCA, EBBCD, CEDEA, ECBED, DDEDC, DBVerbal Section------------------------------------------------------------------------------------------------------------ Q1:Neither First Lady Eleanor Roosevelt nor Secretary of Labor Frances Perkins sought recognition by the press, and both cautiously allowed others of the Roosevelt brain trustto take credit for the genesis of historic programs in public employment, relief, and social security that were in large measure what they had been responsible for.A.to take credit for the genesis of historic programs in public employment, relief,and social security that were in large measure what they had been responsible forB.to take credit for the genesis of historic programs in public employment, relief,and social security for which the two women were in large measure responsibleC.taking credit for the genesis of historic programs in public employment, relief,and social security for which the two women were in large measure responsibleD.taking credit for the genesis of historic programs in public employment, relief,and social security that were in large measure what they were responsible forE.taking credit for the genesis of historic programs in public employment, relief,and social security which were largely their responsibilityAnswer:------------------------------------------------------------------------------------------------------------ Q2:Sunflowers growing in pots were placed, with their roots submerged, in the pond contaminated with radioactive elements. The sunflowers kept growing; in the process, they absorbed radioactive elements. Within twelve days, 85 percent of the radioactive elements were removed from the water, which is no less than can be accomplished with the much more expensive conventional filtration techniques. Scientists therefore propose using sunflowers for decontamination wherever there are radioactively contaminated ponds.Which of the following, if true, points to a limitation on the applicability of the proposed method of decontamination?A.Some plants other than sunflowers can also remove radioactive elements fromwater.B.The water in many ponds contaminated with radioactive elements is so cold that itwould kill sunflowers whose roots were submerged in it.C.Sunflowers that grow with their roots submerged in water grow less well thansunflowers growing under optimal conditions on dry land.D.Only species of sunflowers with large leaves can have their roots submerged inwater and still keep growing.E.In ponds in which the circulation of the water is artificially increased, sunflowersabsorb radioactive elements far faster than they do in other ponds.Answer:------------------------------------------------------------------------------------------------------------ Q3:Not one of the potential investors is expected to make an offer to buy First Interstate Bank until a merger agreement is signed that includes a provision for penalties if the deal were not to be concluded.A.is expected to make an offer to buy First Interstate Bank until a merger agreementis signed that includes a provision for penalties if the deal wereB.is expected to make an offer for buying First Interstate Bank until they sign amerger agreement including a provision for penalties if the deal wasC.is expected to make an offer to buy First Interstate Bank until a merger agreementbe signed by them with a provision for penalties if the deal wereD.are expected to make an offer for buying First Interstate Bank until it signs amerger agreement with a provision for penalties included if the deal wasE.are expected to be making an offer to buy First Interstate Bank until they sign amerger agreement including a provision for penalties if the deal wereAnswer:------------------------------------------------------------------------------------------------------------ Q4:On Earth, among the surest indications of sunspot cycles are believed to be the rate that trees grow, as seen in the rings visible in the cross sections of their trunks.A.On Earth, among the surest indications of sunspot cycles are believed to be therate that trees growB.On Earth, among the surest indications of sunspot cycles are, it is believed, therate of tree growthC.On Earth, the rate at which trees grow is believed to be among the surestindications of sunspot cyclesD.Among the surest indications on Earth of sunspot cycles, believed to be the treegrowth rateE.Among the surest indications on Earth of sunspot cycles is believed to be the rateat which trees growAnswer:------------------------------------------------------------------------------------------------------------ Q5:The total market value of real estate in Altonville has steadily declined over the past four years. This decline has meant that the overall figure on which the city’s property tax is based ─ the assessed value of that real estate ─ has also declined. Moreover, the percentage of assessed value that was paid as property taxes to the city did not change during this period.The information above most strongly supports which of the following?A.Money collected from property taxes provided most of Altonville’s revenueduring the past four years.B.The percentage of Altonville’s over all revenue that was collected from propertytaxes did not change over the past four years.C.Altonville officials had proposed raising property tax rates during the past fouryears but never did so because of strong opposition from property owners.D.The total amount of revenue that Altonville has collected from property taxes hasdeclined over the past four years.E.During the past four years, Altonville officials also did not increase tax rates onother sources of revenue such as retail sales or business profits.Answer:------------------------------------------------------------------------------------------------------------ Q6 to Q9:Scientists generally creditviolent collisions betweentectonic plates, the mobileLine fragments of Earth’s roc ky(5)outer shell, with sculptingthe planet’s surface, as, forexample, when what is nowthe Indian subcontinent col-lided with Asia, producing(10) the Himalayan Mountains.However, plate tectonicscannot fully explain certainmassive surface features,such as the “superswell”(15)of southern Africa, a vastplateau over 1,000 milesacross and nearly a milehigh. Geologic evidenceshows that southern African(20)has been slowly rising forthe past 100 million years,yet it has not experienceda tectonic collision fornearly 400 million years.(25)The explanation may be inEarth’s mantle, the layer ofrock underlying the tectonicplates and extending downover 1,800 miles to the outer(30)edge of Earth’s iron core.Since the early twentiethcentury, geophysicists haveunderstood that the mantlechurns and roils like a thick(35)soup. The relative lowdensity of the hottest rockmakes that material buoyant,so it slowly ascends, whilecooler, denser rock sinks(40)until heat escaping the mol-ten core warms it enough tomake it rise again. Whilethis process of convectionwas known to enable the(45)horizontal movement of tec-tonic plates, until recentlygeophysicists were skepticalof its ability to lift or lower theplanet’s su rface vertically. (50)However, recent technolog-ical advances have allowedgeophysicists to make three-dimensional “snapshots”of the mantle by measuring(55)vibrations, or seismic waves,set in motion by earthquakesoriginating in the planet’souter shell and recordingthe time it takes for them to (60)travel from an earthquake’sepicenter to a particularrecording station at thesurface. Because geo-physicists know that seismic (65)waves become sluggish inhot, low-density rock, andspeed up in colder, denserregions, they can now inferthe temperatures and den- (70)sities in a given segment ofthe interior. By compilinga map of seismic velocitiesfrom thousands of earth-quakes across the globe, (75)they can also begin to maptemperatures and densitiesthroughout the mantle. Thesemethods have revealed someunexpectedly immense for- (80)mations in the deepest partsof the mantle; the largestof these is a buoyant massof hot rock directly belowAfrica’s southern tip. Dis- (85)pellin g researchers’ initialdoubts, computer modelshave confirmed that thisformation is buoyant enoughto rise slowly within the mantle (90)and strong enough to pushAfrica upward as it rises.--------------------------------------------------------------------------------Q6:The passage is primarily concerned withA.describing a traditional explanation for the vertical movement of Earth’s surfaceB.discussing recent geophysical research that may explain certain features of Earth’ssurface that were previously difficult to account forbining elements of several theories in order to develop a plausible explanationfor a poorly understood feature of Earth’s surfaceD.providing new evidence in support of a long-standing belief about how certain ofEarth’s mas sive surface features were createdE.questioning the implications of geophysicists’ recent findings regarding thecomposition and density of Earth’s mantleAnswer:--------------------------------------------------------------------------------Q7:The passage suggests that geophysicists can now infer the characteristics in a given segment of the mantle by doing which of the following?A.Observing how long it takes for seismic waves to travel from an earthquake’sepicenter to a particular surface location and applying knowledge of how rocktemperature and density affect the velocity of those wavesB.Analyzing the results of studies linking the formation of some of Earth’s surfacefeatures with the violent collisions of tectonic plates and inferring the causes ofthe information of other features from those resultsC.Recording data about earthquakes throughout the world and correlating therelative force and duration of those earthquakes with information about theirgeological environmentparing data about ear thquakes that occur in southern Africa’s superswell withdata about other types of seismic events that occur thereing computer models to estimate the length of time it would take for ahypothetical landmass 1,000 miles across to rise one mile verticallyAnswer:--------------------------------------------------------------------------------Q8:In line 10, the author mentions the Himalayan Mountains most likely in order toA.highlight certain similarities between the southern African superswell and othermassive features on Earth’s surfaceB.identify a feature of Earth’s surface that predates the origins of the southernAfrican superswellC.provide an example of a feature of Earth’s surface that can explained by platetectonics。