GMAT考试真题
gmat试题中文及答案
gmat试题中文及答案GMAT试题中文及答案一、数学题1. 如果一个数的平方等于该数本身,那么这个数可能是多少?A. 0B. 1C. -1D. A和B答案:D2. 一个圆的半径是5,它的面积是多少?A. 25πB. 50πC. 75πD. 100π答案:B二、逻辑题1. 所有的猫都怕水,如果一只动物怕水,那么它不是猫。
以下哪项如果为真,最能支持上述论断?A. 有些猫不怕水。
B. 有些动物怕水但不是猫。
C. 所有怕水的动物都是猫。
D. 有些动物不怕水并且是猫。
答案:B2. 如果一个公司想要提高其市场份额,它应该降低其产品的价格。
以下哪项如果为真,最能削弱上述观点?A. 降价可能会损害公司的品牌形象。
B. 消费者通常认为价格高的产品质量更好。
C. 竞争对手也降低了他们的产品价格。
D. 公司的产品在市场上已经是最低价。
答案:B三、阅读理解题阅读以下短文,然后回答问题。
在20世纪初,汽车工业开始迅速发展。
随着汽车数量的增加,对道路的需求也随之增长。
然而,当时的许多道路都是土路,容易受到天气的影响。
为了解决这个问题,工程师们开始设计和建造更耐用的道路。
这些道路使用混凝土和沥青等材料,能够承受更重的交通负荷。
问题:1. 20世纪初,汽车工业的发展导致了什么?A. 道路数量的减少B. 对耐用道路的需求增长C. 汽车价格的上升D. 工程师数量的增加答案:B2. 工程师们如何解决土路容易受到天气影响的问题?A. 减少汽车的使用B. 建造更耐用的道路C. 增加土路的数量D. 限制天气变化答案:B四、语法题1. 尽管他很年轻,但他已经是一位经验丰富的工程师。
A. 尽管他很年轻,但他已经是一位经验丰富的工程师。
B. 尽管他很年轻,但他是一位经验丰富的工程师。
C. 虽然他很年轻,但他已经是一位经验丰富的工程师。
D. 虽然他很年轻,但他是一位经验丰富的工程师。
答案:A2. 这家公司不仅提供了高质量的产品,而且它的服务也非常出色。
GMAT 45题
[1].Is x to the right of -5 on the number line?(1)x is to the right of -7 on the number line.(2)x is between -4 and -3 on the number line.[2].Is r to the right of -6 on the number line?(1)r is between -4 and -1 on the number line.(2)r is between -3 and 1 on the number line.[3].Lines n and p lie in the xy-plane. Is the slope of line n less than the slope of linep ?(1)Lines n and p intersect at the point (5,1).(2)The y-intercept of line n is greater than the y-intercept of line p.[4].In the xy-plane, at what two points does the graph of y = (x + a)(x + b) intersectthe x-axis?(1)a + b = -1(2)The graph intersects the y-axis at (0, -6).[5].If l and k are lines in the xy-plane, is the product of the slopes of l and k equal to-1 ?(1)Line l passes through the origin and the point (1, 2).(2)Line k has x-intercept 4 and y-intercept 2.[6].What is the hundredths digit of the decimal z ?(1)The tenths digit of 100z is 2.(2)The units digit of 1,000z is 2.[7].Is z equal to the median of the three positive integers x, y, and z ?(1)x < y + z(2)y = z[8].What is the value of 6x - 10 ?(1)3x - 5 = 16(2)12x - 10 = 74[9].Is w greater than 1 ?(1)w + 2 > 0(2)w2 > 11, is y equal to 1 ?[10].If x =21) = 1(1)y2 ( x +2(2)y ( 2x – 1 ) = 2x – y[11].If x is positive, is x > 3 ?(1)(x - 1)2 > 4(2)(x - 2)2 > 9[12].Is m ≠ n ?(1)m + n < 0(2)mn < 0[13].Does x + y = 5 ?(1)4x + y = 17(2)x + 4y = 8[14].If wx = y, what is the value of xy ?(1)wx2 = 16(2)y = 4[15].Is x - y + 1 greater than x + y - 1 ?(1)x > 0(2)y < 0[16].Is the integer x divisible by 6 ?(1)x + 3 is divisible by 3.(2)x + 3 is an odd number.[17].What is the tens digit of the positive integer r ?r is 3.(1)The tens digit of10(2)The hundreds digit of 10r is 6.[18].What is the average (arithmetic mean) of eleven consecutive integers?(1)The average of the first nine integers is 7.(2)The average of the last nine integers is 9.[19].If x and y are integers, what is the value of x + y ?(1)690 < x < y < 696(2)692 < x < y < 695[20].Is the integer k divisible by 4 ?(1)8k is divisible by 16.(2)9k is divisible by 12.[21].If n is an integer between 10 and 99, is n < 80 ?(1)The sum of the two digits of n is a prime number.(2)Each of the two digits of n is a prime number.[22].If p is a prime number greater than 2, what is the value of p ?(1)There are a total of 100 prime numbers between 1 and p + 1.(2)There are a total of p prime numbers between 1 and 3,912.[23].What is the greatest common divisor of positive integers m and n ?(1)m is a prime number.(2)2n = 7m[24].What is the remainder when the positive integer n is divided by 6 ?(1)n is a multiple of 5.(2)n is a multiple of 12.[25].Is the integer r divisible by 3 ?(1)r is the product of 4 consecutive positive integers.(2)r < 25[26].If the integer n is greater than 1, is n equal to 2 ?(1)n has exactly two positive factors.(2)The difference of any two distinct positive factors of n is odd.[27].What is the value of y ?(1)y is an odd integer between 28 and 34.(2)31 < y < 36[28].If x and y are integers greater than 1, is x a multiple of y ?(1)3y2 + 7y = x.(2)x2– x is a multiple of y.[29].If x, y, and z are positive integers, what is the remainder when 100x + 10y +z is divided by 7 ?(1)y = 6(2)z = 3[30].If xy = -18, is x less than y ?(1)x < 0(2)y < 10[31].If x is positive, what is the value of y ?(1)5x = 15(2)xy + y = 18[32].If integer p is greater than 1, is p a prime number?(1) p is odd.(2) The only positive factors of p are 1 and p.[33]. S is a finite set of numbers. Does S contain more negative numbers thanpositive numbers?(1) The product of all the numbers in S is -1,200.(2) There are 6 numbers in S .[34]. In the sequence of positive numbers x 1, x 2, x 3, . . . , what is the value of x 1 ?(1) x l = 21x l - for all integers l > 1(2) x 5 = 144+x x[35]. what is the value of k ?(1) 32 is a factor of k.(2) 72 is not a factor of k.[36]. The sum of the integers in list S is the same as the sum of the integers in listT. Does S contain more integers than T ?(1) The average (arithmetic mean) of the integers in S is less than the average of the integers in T.(2) The median of the integers in S is greater than the median of the integers in T.[37]. If x and y are positive integers, is the product xy even?(1) 5x - 4y is even.(2) 6x + 7y is even.[38]. If x and y are positive integers, what is the value of xy ?(1) The greatest common factor of x and y is 10.(2) The least common multiple of x and y is 180.[39]. If there are more than two numbers in a certain list, is each of the numbers inthe list equal to 0 ?(1) The product of any two numbers in the list is equal to 0.(2) The sum of any two numbers in the list is equal to 0.[40]. Are x and y both positive?(1) 2x – 2y = 1(2)x > 1[41]. The positive integers x, y, and z are such that x is a factor of y and y is afactor of z. Is z even?(1) x is even.(2) y is even.[42]. If 0 < x < y, what is the value of )()(22y x y x -+? (1) x 2 + y 2 = 3xy(2) xy = 3[43]. If x, y, and z are integers greater than 1, what is the value of x + y + z ?(1) xyz = 70 (2) yz x = 107[44]. Is p + pz = p ?(1) p = 0(2) z = 0[45]. If the operation △ is one of the four arithmetic operations addition,subtraction, multiplication, and division, is (6 △ 2) △ 4 = 6 △ (2 △ 4) ?(1) 3 △ 2 > 3(2) 3 △ 1 = 3ANSWER :BDCCCEBAEBDBCABCBDBBBDCBABCAEACBECDADCBCDAADA。
GMAT考试GMAT 数学XDF500 题(DS 部分)(解释完整版)
考试复习GMAT数学XDF500题(DS部分)A garden store purchased a number of shovels and a number of rakes. If the cost of each shovel was $14 and the cost of each rake was $9, what was the total cost of the shovels and rakes purchased by the store?(1) The ratio of the number of shovels to the number of rakes purchased by the store was 2 to 3.(2) The total number of shovels and rakes purchased by the store was 50.答案 C考点 方程难度 2思路 需要知道S和R各自的具体数量才可以算出总的cost 则两个条件分别可以列出两个方程 不充分 合并条件为二元一次方程组 可解出一组值 充分2Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans2dislike lima and each student either likes or dislikes brussels sprouts. Of these students,33also dislike brussels sprouts. How many of beans; and of those who dislike lima beans,5the students like brussels sprouts but dislike lima beans?(1) 120 students eat in the cafeteria.(2) 40 of the students like lima beans.答案 D考点 集合难度 3思路 将所有学生按两种属性分类 喜欢或不喜欢L 喜欢或不喜欢B 总数2/3不喜欢L 那么喜欢L的1/3 不喜欢L的人里面又有3/5不喜欢B 则两者都不喜欢的占2/5 那么可以推出喜欢B 但不喜欢L的占2/3 - 2/5 =4/15 但是问题求人数 所以需要知道总人数条件1 给了总人数 充分条件2 也可以算出总人数 充分1How many different prime numbers are factors of the positive integer n ?(1) Four different prime numbers are factors of 2n.(2) Four different prime numbers are factors of n2.答案 B考点 质数 因数难度 4思路 此题比较抽象 问N含有多少个不同质因数条件1 2N有4个不同质因数 那么这4个质因数中一定含有2 其余3个因数未知 但是含有2的多少次方无法确定 如果2N含有2的1次方 则N没有 只有3个质因数 如果2N含有大于等于2次方的2 那么N中含有2以及另外3个总4个质因数 不充分条件2 N平方即为N乘以本身得出 所以N平方和N应该含有相同的质因数 只是指数不同而已 不影响个数 所以N应该含有4个不同质因数 唯一确定 充分4Is the product of a certain pair of integers even?(1) The sum of the integers is odd.(2) One of the integers is even and the other is odd.答案 D考点 奇偶难度 2思路条件1 可推出两个数字一奇一偶 所以乘积一定为偶数 充分条件2 和条件一的形式一样 一奇一偶 那么也充分5If k is an integer and 2 < k < 8, what is the value of k ?(1) k is a factor of 30.(2) k is a factor of 12.答案 E考点 因数难度 2思路条件1 K可以为3 5 6 不充分条件2 K可以为3 4 6 不充分合并条件还是可以3或6 不充分2On the number line above, is the product of w, x, y, and z negative?(1) z is positive.(2) The product of w and x is positive.答案 E考点 正负难度 2思路 若使得4个数乘积为负 则需要1或3个负数条件1 负数个数可以为0-3个 正负未知 不充分条件2 W和X同号 那么负数个数为0-4个 不充分合并条件 若WXZ为负 则乘积为负 都是正的四个数 乘积为正 不确定 不充分7If y and z are integers, is y(z + 1) odd?(1) y is odd(2) z is even.答案 C考点 奇偶难度 2思路 相乘为奇 必须前面所有数都是奇数条件1 Z不知道奇偶 不确定条件2 不知道Y奇偶 不确定合并条件 两项奇偶都确定 充分3If n and m are positive integers, what is the remainder when 3^(4n + 2 + m) is divided by 10 ?(1) n = 2(2) m = 1答案 B考点 余数个位数难度 4思路 题干式子中的除数为10 则不需要求出被除数具体值 求出个位数即可 底数为3 随着指数从1增加之后 个位数字循环规律为3 9 7 1 四位一循环 所以用指数除以4即可知道个位数值条件1 因为N的系数为4 所以不影响除以4的余数 不能确定条件2 M的值可以确定被除数个位数的情况 那么充分9If x is a positive integer, is x < 16 ?(1) x is less than the average (arithmetic mean) of the first ten positive integers.(2) x is the square of an integer.答案 A考点 不等式难度 2思路条件1 X为1-10的平均数 一定小于16 充分条件2 X可以为1 4 9 16 25。
[gmat数学真题]gmat真题
[gmat数学真题]gmat真题gmat真题一: GMAT考试历年全真试题三S OF AN ISSUETime—30 minutesDirections: In this section, you will need to analyze the issue presented below and e某plain your views on it. The question has no "correct" answer. Instead, you should consider various perspetives as you develop your own position on the issue.Read the statcment and the instructions233athat follow it, and then make any notes in your test booklet that will help you plan your response. Begin writing your response on the separate answer document. Make sure that you use the answer document that goes ith this writing task."The rise of multinational corporations is leading to global homogeneity". People everywhere are beginning to want the same products and services, and regional differences are rapidly disappearing.""homogencity: samencss, similarity"Discuss the e某tent to which you agree or disagree with the opinion e某pressed above. Support your point of view with reasons and/or e某amples based on your own e某periences, your observations, or your reading.1Time—25 minutes16 QuestionsDirections: In this section solve each problem, using any available space on the page for scratchwork. Then indicate the bestof the answer choices given.Numbers: All numbers used are real numbers.Figures: Figures that accompany problems in this section are intended to provide information useful in solving the problems. They are drawn as accruately as possible E某CEPT when it is stated in a specific problem that its figure is not drawn to seale. All figures lie in a plane unless otherwise indicated.1. If =1, which of the following must be true(A) a=0(B) b=0(C) a=1(D) b=1(E) a=by=k某+32. In the equation above, k is a constant, If y=17 when 某=2, what is the value of y when 某=4(A) 34(B) 31(C) 14(D) 11(E) 73. In 1989 the price of a new model S car was 某 dollars. If the price of the model S car increased each year by 10 percent of the previous year s price, what was the price of the car, in dollars, in 1991(A) 1.10某(B) 1.20某(C) 1.21某(D) 1.25某(E) 1.33某4. If n is a prime number greater than 3, what is the remainder when n2 is divided by 12(A) 0(B) 1(C)233a 2(D) 3(E) 55. NOT SCORED6. If a subscription for 10 issues of a magazine costs $24.00 and represents a saving of 20 percent of the cover price, what is the cover price per issue(A) $1.98(B) $2.40(C) $2.80(D) $2.86(E) $3.007. Each edge of a cubical block of wood measures 2 inches. What is the surface area of the block in square inches(A) 4(B) 8(C) 12(D)16(E) 24CREATE YOUR OWN SUNDAE12 Ice Cream Flavors10 Kinds of Candies8 Liquid Toppings5 Kinds of NutsWith or Without Whipped Cream8. If a customer makes e某actly one selection from each of the five actegories shown in the table above, what is the greatest possible number of different ice cream sundaes that a customer can create(A) 9.600(B) 4.800(C) 2.400(D) 800(E) 4009. The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have(A) 55(B) 65(C) 100(D) 109(E) 11510. Machine A working alone can complete a job in hours. MachineB working alone can do the same job in hours. How long will it take both machines working together at their respective constant rates to complete the job(A) 1 hr 10 min(B) 2 hr(C) 4 hr 5 min(D) 7 hr(E) 8 hr 10 min11. What is the smallest positive integer n for which 324 is a factor of 6n(A) 2(B) 3(C) 4(D) 5(E) 6Note: Figure not drawn to seale.12. In the figure above, if AB|| CE, CE=DE, and y=45, then 某=(A) 45(B) 60(C) 67.5(D) 112.5(E) 13513. The table above shows the cost, in dollars, of travcling to and from cities A, B, C, D, E, and F, A sales representative wants to leave from A, travel to C, E, and F, and return to A. If the first city233athat the sales represertative travels to must be E, what is the minimum possible cost for the entire trip(A) $13(B) $14(C) $16(D) $18(E) $2014. A retailer sold an appliance for 30 percent above cost, whichrepresented a gross profit of $21.00. For what price did the retalies sell the appliance(A) $27.30(B) $51.00(C) $63.00(D) $70.00(E) $91.0015. How many integers between 324.700 and 458.600 have tens digit1 and units digit 3(A) 10.300(B) 10.030(C) 1.353(D) 1.352(E) 1.33916. A breakfast that consists of 1 counce of corn puffs and 8 cunces of fruit 某 provides 257 calories. When 8 conces of fruit Y is substituted for the 8 cunces of fruit 某, the total number ofcalories is reduced to 185. If fruit 某 provides 1.8 times as many calories as fruit Y. how many calories does 8 counces of fruit Y alone provide(A) 11.25(B) 72(C) 90(D) 95(E)129.63Time—25 minutes22 Questions1. Clark and Florence Wallace, a husband-and-wife medical team, worked steadily and cfficiently through the night, but sipping their coffee the ne某t morning, she noticed that he seemed disoriented.(A) sipping their coffee the ne某t morning, she noticed that he seemed disoriented.(B) sipping their coffee the ne某t morning, he seemed to be disoriented, she noticed(C) as they sipped their ocffee the ne某t morning, she noticed that he seemed disoriented(D) as they were sipping their coffee the ne某t morning, he seemed, she noticed, disoriented(E) he seemed disoriented, she noticed, sipping their coffee the ne某t morning2. Very popular from 1900 until the 1920 s, the renewed interest in ceiling fans began when the energy crisis in 1974 forced homeowners to look for alternative methods of heating and cooling.(A) Very popular from 1900 until the 1920 s, the rencewedinterest in ceiling fans233a began(B) The rencwed interest in ceiling fans, which were very popular from 1900 until the 1920 s began(C) After they were very popular from 1900 until the 1920 s, the renewed interest in ceiling fans was beginning.(D) Ceiling fans were very popular from 1900 until the 1920 s, with renewed interest beginning in them.(E) From 1900 until the 1920 s ceiling fans were very popular, and now the renewed interest in them has begun3. There is speculation that increasing cold weather was what mayhave been responsible for the Anasazi move from Mesa Verde to sitesin other canyons.(A) that increasing cold weather was what may have been(B) whether increasing cold weather was what was(C) that increasingly cold weather was what had been(D) whether increasingly cold weather may have been what had been(E) that increasingly cold weather may have been4. In Aristophanes Lysistrata woman are seen as the means of bringing peace and good sense to a wartorn world.(A) as(B) as if they are(C) that they will be(D) that they are(E) for being5. Despite no proof that the consumption of any particular foods reverse hardening of the arteries, studiey indicate that refraining from eating ceratin foods could help reverse blockage of coronary arteries, the blood vessels that feed the heart.(A) Despite no proof that the consumption of any particular foods reverse hardening of the arteries, studies indicate that refraining from eating certain foods could(B) Despite no foods having been proved to reverse hardening of the arteries when consumed, studies indicate that refraining from eating certain foods can(C) Although the consumption of no particular foods have been proved to reverse hardening of the arteries, studies indicate that to refrain from eating certain foods could(D) Although not proved that the consumption of any foods reversehardening of the arteries, studies(E) Although it has not been proved that the consumption of any particular food will reverse hardening of the arteries, studies indicate that refraining from eating certain foods can6. Artificial intelligence emerged during the late 1950 s as an academic discipline based on the assumption that computers are able to be programmed to think like people.(A) are able to be programmed to think like people(B) were able to be programmed to think as people(C) can be programmed to think as people can(D) could be programmed to think like people(E) are capable of being programmed to think liek people do7. Although the coordination of monetary policy can help facilitate the orderly financing of e某isting imbalances, it is unlikely that its effect on their size is significant in the absence of an appropriate fiscal adjustment.(A) it is unlikely that its effect on their size is significant(B) it is unlikely that the size of their effect would be significant(C) affectign their sizes are not likely to be significant(D) the significance of their effect on its size is unlikely(E) its effect on their size is not liekly to be significant8. The proposed health care bill would increase government regulation of health insurance, establish standards that would guarantee wider access to people with past health problems and to workers changing jobs who otherwise could be uncovered for months.(A) establish standards that would guarantee wider access to people with past health problems and to workers changing jobs who(B) establish standards that would guarantee wider access to people with past health problems and to workers who are changing jobs and(C) to establish standards that would guarantee wider access to people with past health problems and to workers who change jobs that(D) for establishing standards that would guarantee wider acc(E) for the establishment of standards that would guarantee wider access for people with past health problems and workers who are chaning jobs that9. Many writers of modern English have acquired careless habits that damage the clarity of their prose, but these habits can be broken if htey are willing to take the necessary trouble(A) but these habits can be broken(B) but these habits are breakable(C) but they can break these habits(D) which can be broken(E) e某cept that can be broken10. While the base salary for the top five officers of the company did not change from 1990 to 1991, cuts were made in nonsalary compenstaion, as in allowances for overseas assignments and club memberships.(A) cuts were made in nonsalary compensation, as in(B) cuts were made in such nonsalary compensation as(C) cuts were made in such nonsalary compensation as those in(D) cuts in nosalary compensation were made in areas like(E) there wre cuts made in nonsalary compensation, in areas like11. It is an oversimaplified view of cattle raising to say that all one has to do with cattle is leave them alone while they foodthemselves, corral them, and to drive them to market when the time is ripe.(A) all one has to do with cattle is leave them alone while they feed themselves, corral them, and to(B) all one has to do with cattle is to leave them alone to feed themselves, to corral them, and(C) all one has to do with cattle is leave them alone while they feed themselves and then corral them and(D) the only thing that has to be done with cattle is leave them alone while they feed themselaves. corral them, and(E) the only thing that has to be done with cattle is to leave them alone while they feed themselves, to corral them, and12. Although dozens of New York s small museums are either devoted(A) Although dozens of New York s small museums are either devoted to local history or various ethnic groups, there are(B) Although dozens of New York s small museums are deveoted to local history or various ethnic groups.(C) Dozens of New York s small museums are devoted to local history or various ethnic groups, but there are(D) Dozens of New York s small museums are devoted to local history or various ethnic groups, and there are also(E) Devoted to local history or various ethnic groups, dozens of New York s small museums and also13. Oberlin College in Ohio was a renegade institution at its 1833 founding for deciding to accept both men and women as students.(A) at its 1833 founding for deciding to accept(B) for the decision at its 1833 founding to accept(C) when it was founded in 1833 for its decision to accept(D) in deciding at its founding in 1833 to accept(E) by deciding at its founding in 1833 on the acceptance of14. Unlike a hurricane, which can be observed from within, a tornado is so small that such a study has not been practical.(A) that such a study has not been practical(B) that studying it that way has not been impractical(C) for such studies as this to have been impractical(D) as to not make such a study practical(E) as to be impractical of study15. After the Colonial period s 50 percent mortality rate lief e 某pectancy improved for children, but as late as the nineteenth century about one child in three died before reaching the age of si 某.(A) After the Colonial period s 50 percent mortality rat, life e 某pectancy improved for children, but(B) Even though children s life e某pectancy, which improved over the Colonial period s 50 percent mortality rate.(C) Although life e某pectancy for children improv(D) While there was an improvement in life e某pectancy for children after the 50 percent mortality rate of the Colonial period, still(E) Despite children s life e某pectancy improvement from the Colonial period s 50 percent mortality rate.16. Just as a writer trying to understand shtetl life might read Shalom Aleichem or Isaac Bashevis Singer. in the same way writers trying to understand Black life in the American South might well listen to records by the Mississippi Delta bluesman Charlie Patton.(A) in the same way writers trying to understand Black life in the American South might well listen to records(B) in the same way writers who try and understand Black life in the American South might well listen to record(C) so a writer trying to understand Black life in the American South might well listen to records(D) so do writers try and understand Black life in the American South and might well listen to a record(E) then writers trying to understand Black life in the American South could well listen to records17.The pattern of whisker spots on the face of a male lion. like human fingerprints, are a lifelong means of identification, since they are both unique and unchanging.(A) like human fingerprints, are a lifelong means of identification, since they are both unique and unchanging(B) like human fingerprints, is a lifelong means of identification, since it is both unque and unchanging(C) like human fingerprints, is a means of identification for life, being both unique and unchanging(D) since they are both unique and unchaning, like human fingerprints, are a means of identification for life(E) both unique and unchanging, are like human fingerprints, a lifelong means of identification18. Eeven though the state has spent ten years and seven million dollars planning a reservoir along the Ubi Riv(A) will have to be abandoned as a result of the river becoming so heavily polluted(B) is to be abandoned on account of the heavy pollution whichthe river reccived(C) had to be abandoned because the river had received such heavy pollution(D) has to be abandoned because of the river and its heavy pollution(E) must be abandoned because the river has become so heavily polluted.19. In spite of federal subsidizing of public transportation systems massively and major local efforts to persuade the public to use public transportation, mass transit has been steadily losing patronage to the private automobile for the past thirty years.(A) In spite of federal subsidizinf of public transportation systems massively and major local efforts to persuade.(B) In spite of massive federal subsidizing of public transportaion systems and major efforts locally at persuading(C) Despite massive federal subsidies to public transportation systems and the making of major efforts locally to persuade(D) Despite massive federal subsidies to public transportation systems and major local efforts to persuade(E) Despite massive federal subsidies to public transportation systems and making major local efforts at persuading20. Bankers require that the finacial information presented to them by mortage applicants be complete and follow a prescribed format.(A) be complete and follow a prescribed format(B) is complete and it follows a prescribed format(C) be complete and a prescribed format is followed(D) to be complete and a prescribed format be followed(E) be complete, and it followed a prescribed formatgmat真题二:解读“GMAT试题侵权”案达成和解日前,美国研究生入学管理委员会(简称GMAC)诉北京博森对其GMAT考试试题侵权一案,在北京市第一中级人民法院的调解下,双方已达成和解。
GMAT历年真题
第一章:句子结构(一划句子结构)一、名词性从句:一)主语从句:it may (well) be that + 主从; it be +adj./ed/n. + that + 主从; it seem/happen/appear + that + 主从二) 宾语从句:动词型:that 不能省略/ 介词型:介词后只能接疑问词引导的宾语从句(除in that, except that, but that)三)表语从句:主语+be+that 从句/疑问词型从句二、特殊结构:一)强调:it is…that …; it is not until…that…;many n…..,if not most, do sth; n. is as…as…, if not more so.二)倒装:三)as 结构:Prep.: accept/ classify/ define/ describe/ know/ name/ refer to/ regard/ speak of/ state/ think/ think of/ view as n. Conj.: (just) as …, 主句; (just) as …, so 主句; (just) as …, so too 主句(部分倒装);Pron.: 代替单主句 (e.g. indirect socialization also occurs, as when television shows reinforce stereotyped images)四)同位结构:同位语,主语…(一定要一致)解释:n.,n.; a n., n.; n., a n.; the n., n.;内容具体化:抽象n.(theory/ evidence/ belief/ principle/hypothesis) + that 从句 (that 不能省略);of 表示所属关系,强调部分概念。
概括:a n. (program/ information/ effort/ practice) that修饰:n., n. that 从句代词:n., one/ones + that 从句五)独立主格:(with/each) + n./ ed/ ing/ adj.phrase/ prep.phrase (注意each 后接单数its 非their )六)省略结构:V .+that两个句子并列,第一个含有be 作为助动词或become ,第二个句子中的be 或become 必须省略。
gmat数学试题及答案
gmat数学试题及答案GMAT数学试题及答案1. 题目:如果一个数列的前三项分别是2,4,8,那么这个数列的第四项是多少?答案:这个数列的第四项是16。
2. 题目:一个长方形的长是宽的两倍,如果宽增加10%,长减少10%,那么新的长方形面积比原来增加了多少百分比?答案:新的长方形面积比原来减少了1%。
3. 题目:一个工厂生产了1000个零件,其中90%是合格的。
如果不合格的零件中有20%被重新加工并合格,那么工厂最终有多少个合格的零件?答案:工厂最终有918个合格的零件。
4. 题目:如果一个圆的半径增加10%,那么它的面积增加了多少百分比?答案:它的面积增加了21%。
5. 题目:一个投资组合由两种股票组成,股票A占60%,股票B占40%。
如果股票A的回报率是10%,股票B的回报率是15%,那么整个投资组合的平均回报率是多少?答案:整个投资组合的平均回报率是12%。
6. 题目:一个班级有50名学生,其中30%是女生。
如果班级中女生的平均成绩是80分,男生的平均成绩是70分,那么整个班级的平均成绩是多少?答案:整个班级的平均成绩是75分。
7. 题目:一个商店销售两种类型的电视机,A型和B型。
如果A型电视机占总销售量的40%,并且A型电视机的利润率是20%,B型电视机的利润率是30%,那么商店从A型电视机中获得的总利润占总利润的百分比是多少?答案:商店从A型电视机中获得的总利润占总利润的44%。
8. 题目:如果一个数的平方根是4,那么这个数的立方根是多少?答案:这个数的立方根是8。
结束语:以上就是GMAT数学试题及答案,希望能够帮助考生们更好地准备考试。
gmat试题及答案
gmat试题及答案1. 问题:在以下句子中,哪个词是多余的?- A. 我昨天去超市买了一些水果。
- B. 我昨天去超市买了一些蔬菜。
- C. 我昨天去超市买了一些水果和蔬菜。
- D. 我昨天去超市买了一些蔬菜和水果。
答案:D2. 问题:以下哪个选项是正确的数学表达式?- A. \(2x + 3 = 5\) 解为 \(x = 1\)- B. \(3x - 2 = 7\) 解为 \(x = 3\)- C. \(4x^2 - 9 = 0\) 解为 \(x = 3\)- D. \(5x + 6 = 11\) 解为 \(x = 1\)答案:B3. 问题:根据以下信息,确定哪个国家是正确的?- A. 法国的首都是伦敦。
- B. 澳大利亚的首都是悉尼。
- C. 巴西的首都是里约热内卢。
- D. 印度的首都是新德里。
答案:D4. 问题:在逻辑推理中,以下哪个选项是有效的论证?- A. 如果下雨,地面就会湿。
地面湿了,所以一定下雨了。
- B. 如果天黑了,灯就会亮。
灯亮了,所以天黑了。
- C. 如果风大,风筝会飞得高。
风筝飞得高,所以风一定大。
- D. 如果下雪,交通会堵塞。
交通堵塞了,所以一定下雪了。
答案:C5. 问题:在以下句子中,哪个词组是正确的?- A. 他经常去图书馆借书。
- B. 他经常去图书馆借书和杂志。
- C. 他经常去图书馆借书和借杂志。
- D. 他经常去图书馆借书或杂志。
答案:A6. 问题:以下哪个选项是正确的语法结构?- A. 我喜欢吃苹果和香蕉。
- B. 我喜欢吃苹果和香蕉,并且我也喜欢橘子。
- C. 我喜欢吃苹果和香蕉,但是我也喜欢橘子。
- D. 我喜欢吃苹果和香蕉,或我也喜欢橘子。
答案:B7. 问题:在以下句子中,哪个词是正确的形容词形式?- A. 这个女孩非常美丽。
- B. 这个女孩非常漂亮。
- C. 这个女孩非常聪明。
- D. 这个女孩非常聪明,并且也很美丽。
答案:D8. 问题:以下哪个选项是正确的动词时态?- A. 我正在去图书馆。
gmat数学真题及解析答案详解
gmat数学真题及解析答案详解GMAT数学真题及解析答案详解GMAT(全球管理硕士研究生入学考试)是一个非常重要的考试,它对于想要进入顶尖商学院深造的学生来说至关重要。
GMAT考试包括四个部分,其中数学部分是很多考生担心的一部分。
本文将介绍一些GMAT数学真题,并给出详细的解析答案,帮助考生更好地准备考试。
题目一:The cost, in dollars, of producing x units of a certain commodity is given by the equation C = mx + b, where m and b are constants. If the cost of producing 50 units is $1800 and the cost of producing 100 units is $2800, what is the cost of producing 150 units?解析:首先,根据题目中的信息,我们可以得到两个方程:1800 = m(50) + b2800 = m(100) + b我们需要求解的是当x=150时的C的值。
为了求解这个问题,我们需要求解m和b的值。
我们可以使用第一个方程来求解m和b的值:1800 = m(50) + b2800 = m(100) + b我们可以通过减去两个方程得到:1000 = m(50)因此,m的值为20。
将m的值带入第一个方程,我们可以求解b 的值:1800 = 20(50) + bb = 1800 - 1000b = 800现在,我们可以使用C = mx + b的方程来计算当x=150时的C的值:C = 20(150) + 800C = 3000 + 800C = 3800因此,当生产150个单位时的成本为3800美元。
题目二:The average (arithmetic mean) of 7 numbers is 10. If one of the numbers is removed, and the average of the remainingnumbers is 9, what is the value of the number that was removed?解析:让我们假设被移除的数字为x。
gmat数学试题及答案
gmat数学试题及答案GMAT数学试题及答案一、选择题1. 如果一个圆的半径是5,那么它的面积是多少?A. 25πB. 50πC. 75πD. 100π答案:B2. 一个直角三角形的两条直角边分别为3和4,那么斜边的长度是多少?A. 5B. 6C. 7D. 8答案:A3. 一个数列的前三项是2,4,8,这个数列的第四项是多少?A. 12B. 16C. 32D. 64答案:C二、填空题4. 如果一个数的平方根是7,那么这个数是______。
答案:495. 一个数的50%是25,那么这个数是______。
答案:506. 如果一个数的1/4加上5等于10,那么这个数是______。
答案:28三、简答题7. 一个工厂在一个月内生产了1000个产品,如果每个产品的利润是10元,那么这个工厂这个月的总利润是多少?答案:10000元8. 如果一个投资者在一年内投资了10000元,年利率是5%,那么一年后的总金额是多少?答案:10500元9. 一个班级有30名学生,如果每名学生的平均分是85分,那么这个班级的总分是多少?答案:2550分四、应用题10. 一个公司计划在两年内将销售额翻倍。
如果第一年的销售额是100万,那么第二年的销售额应该是多少?答案:200万11. 一个长方形的长是20米,宽是15米,求这个长方形的面积。
答案:300平方米12. 一个圆的直径是14厘米,求这个圆的周长。
答案:43.96厘米(使用公式C = πd,其中d是直径)注意:以上试题及答案仅供参考,实际GMAT数学试题可能会有不同的题型和难度。
GMAT考试2024量化历年真题全视角
GMAT考试2024量化历年真题全视角GMAT考试(Graduate Management Admission Test)是一项全球性的管理类研究生入学考试。
它的量化部分是考察考生在数学和逻辑推理能力方面的表现,是备战GMAT考试中非常重要的一部分。
在准备GMAT考试的过程中,历年真题是必不可少的参考资源,它们能够帮助考生了解考试的题型、难度和命题风格,从而更好地进行备考。
本文将从全视角介绍GMAT考试2024年的量化部分历年真题,并提供相关题目的解析和解题技巧。
一、Data Sufficiency(数据充分性)题目Data Sufficiency题目是GMAT考试量化部分中的一大特色。
这类题目要求考生判断所给的数据是否足够解决问题。
以下是GMAT考试2024年的一个Data Sufficiency题目:题目:Is the integer x divisible by 3?1. x is divisible by 6.2. The sum of the digits of x is divisible by3.解析:这道题目要求判断整数x是否可以被3整除。
我们先来看一下两个陈述句的意义。
第一条陈述句表明x可以被6整除,我们知道6是3的倍数,所以第一条陈述句意味着x也可以被3整除。
第二条陈述句表明x的各位数字之和可被3整除,这说明x本身可以被3整除。
综上所述,无论是第一条陈述句还是第二条陈述句,都能够得出x 可以被3整除的结论。
因此,答案是D,两个陈述句均充分。
二、Problem Solving(问题求解)题目Problem Solving题目是GMAT考试中的另一类常见题型。
以下是GMAT考试2024年的一个Problem Solving题目:题目:If a, b, and c are positive integers, what is the value of (a + b) / c?(1) a = 3c(2) b = 2c解析:这道题目要求求解表达式(a + b) / c的值。
历年GMAT考试真题精选
历年GMAT考试真题精选以下是无忧考网整理的历年GMAT考试真题精选,希望对大家准备GMAT考试有所帮助。
1:If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p > ?(1) More than of the 10 employees are women.(2) The probability that both representatives selected will be men is less than .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. ------------------------------------------------------------------------------------------------------------2:For all integers n, the function f is defined by f (n) = an, where a is a constant. What is the value of f (1)?(1) f (2) = 100(2) f (3) = -1,000A. 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.3:Mary persuaded n friends to donate $500 each to her election campaign, and then each of these n friends persuaded n more people to donate $500 each to Mary’s campaign. If no one donated more than once and if there were no other donations, what was the value of n?(1) The first n people donated of the total amount donated.(2) The total amount donated was $120,000.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.-----------------------------------------------------------------------------------------------------------4:If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?A. 10B. 12C. 14D. 16E. 18------------------------------------------------------------------------------------------------------------5:If x, y, and k are positive numbers such that ( )(10) + ( )(20) = k and if x y(2) ?(1) More than of the 10 employees are women.(2) The probability that both representatives selected will be men is less than .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:------------------------------------------------------------------------------------------------------------25:Material A costs $3 per kilogram, and material B costs $5per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y?(1) y > 4(2) The cost of the 10 kilograms of material K is less than $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:------------------------------------------------------------------------------------------------------------26:What is the value of the integer n?(1) n(n + 2) = 15(2) (n + 2)n = 125A. 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:------------------------------------------------------------------------------------------------------------27:Which of the following fractions has a decimal equivalent that is a terminating decimal?A. B. C. D. E. Answer:------------------------------------------------------------------------------------------------------------28:Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?(1) During the show, there was an average (arithmeticmean) of 10 unoccupied seats per row for the front 20 rows.(2) During the show, there was an average (arithmetic mean) of 20 unoccupied seats per row for the back 15 rows.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:------------------------------------------------------------------------------------------------------------29:This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he was available to spend will be equal to half theamount that he spends this year?A. B. C. D. E. Answer:30:What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y?(1) The average height of the students in class X is 120 centimeters.(2) The average height of the students in class X and class Y combined is 126 centimeters.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:------------------------------------------------------------------------------------------------------------31:If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?A. 20B. 40C. 50D. 80E. 120Answer:------------------------------------------------------------------------------------------------------------32:What is the remainder when the positive integer n is divided by 3?(1) The remainder when n is divided by 2 is 1.(2) The remainder when n + 1 is divided by 3 is 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:------------------------------------------------------------------------------------------------------------33:Is │x│=│y│?(1) x - y = 6(2) x + 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:------------------------------------------------------------------------------------------------------------34:If r, s, and t are positive integers, is r + s + t even?(1) r + s is even.(2) s + t is even.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:------------------------------------------------------------------------------------------------------------35: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:36:Professor Vásquez gave a quiz to two classes. Was the range of scores for the first class equal to the range of scores for the second class?(1) In each class, the number of students taking the quiz was 26, and the lowest score in each class was 70.(2) In each class, the average (arithmetic mean) score on the quiz was 85.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:------------------------------------------------------------------------------------------------------------37:The operation ○is defined by the equation x ○y = (x-y)/(x+y), where y ≠-x. If 3 ○y = 5 ○4, then y =A. 1/9B. 4/15C. 5/12D. 12/5E. 15/4Ans1:If 2 different representatives are to be selected at randomfrom a group of 10 employees and if p is the probability that both representatives selected will be women, is p > ?(1) More than of the 10 employees are women.(2) The probability that both representatives selected will be men is less than .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.------------------------------------------------------------------------------------------------------------2:For all integers n, the function f is defined by f (n) = an, where a is a constant. What is the value of f (1)?(1) f (2) = 100(2) f (3) = -1,000A. 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.3:Mary persuaded n friends to donate $500 each to her election campaign, and then each of these n friends persuaded n more people to donate $500 each to Mary’s campaign. If no one donated more than once and if there were no other donations, what was the value of n?(1) The first n people donated of the total amount donated.(2) The total amount donated was $120,000.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, butNEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.-----------------------------------------------------------------------------------------------------------4:If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?A. 10B. 12C. 14D. 16E. 18------------------------------------------------------------------------------------------------------------5:If x, y, and k are positive numbers such that ( )(10) + ( )(20) = k and if x y(2) ?(1) More than of the 10 employees are women.(2) The probability that both representatives selected will be men is less than .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:------------------------------------------------------------------------------------------------------------25:Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y?(1) y > 4(2) The cost of the 10 kilograms of material K is less than $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:------------------------------------------------------------------------------------------------------------26:What is the value of the integer n?(1) n(n + 2) = 15(2) (n + 2)n = 125A. 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:------------------------------------------------------------------------------------------------------------27:Which of the following fractions has a decimal equivalent that is a terminating decimal?A. B. C. D. E. Answer:------------------------------------------------------------------------------------------------------------28:Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?(1) During the show, there was an average (arithmetic mean) of 10 unoccupied seats per row for the front 20 rows.(2) During the show, there was an average (arithmetic mean) of 20 unoccupied seats per row for the back 15 rows.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:------------------------------------------------------------------------------------------------------------29:This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he was available to spend will be equal to half the amount that he spends this year?A. B. C. D. E. Answer:30:What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y?(1) The average height of the students in class X is 120 centimeters.(2) The average height of the students in class X and class Y combined is 126 centimeters.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:------------------------------------------------------------------------------------------------------------31:If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?A. 20B. 40C. 50D. 80E. 120Answer:------------------------------------------------------------------------------------------------------------32:What is the remainder when the positive integer n is divided by 3?(1) The remainder when n is divided by 2 is 1.(2) The remainder when n + 1 is divided by 3 is 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:------------------------------------------------------------------------------------------------------------33:Is │x│=│y│?(1) x - y = 6(2) x + 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:------------------------------------------------------------------------------------------------------------34:If r, s, and t are positive integers, is r + s + t even?(1) r + s is even.(2) s + t is even.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:------------------------------------------------------------------------------------------------------------35: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:36:Professor Vásquez gave a quiz to two classes. Was the range of scores for the first class equal to the range of scores for the second class?(1) In each class, the number of students taking the quiz was 26, and the lowest score in each class was 70.(2) In each class, the average (arithmetic mean) score on the quiz was 85.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:------------------------------------------------------------------------------------------------------------37:The operation ○is defined by the equation x ○y = (x-y)/(x+y), where y ≠-x. If 3 ○y = 5 ○4, then y =A. 1/9B. 4/15C. 5/12D. 12/5E. 15/4Answer:------------------------------------------------------------------------------------------------------------wer:。
2022年7月GMAT写作真题(一)新
让知识带有温度。
2022年7月GMAT写作真题(一)720AA1:“In the first four years that Montoya has served as mayor of the city of San Perdito, the population has decreased and the unemployment rate has increased. Two businesses have closed for each new business that has opened. Under Varro, who served as mayor for four years before Montoya, the unemployment rate decreased and the population increased. Clearly, the residents of San Perdito would be best served if they voted Montoya out of office and reelected Varro.AA2:果农Over the past decade, the price per pound of citrus fruit has increased substantially. Eleven years ago, Megamart charged 5 cents apiece for lemons, but today it commonly charges over 30 cents apiece. In only one of these last eleven years was the weather unfavorable for growing citrus crops. Evidently, then, citrus growers have been responsible for the excessive increase in the price of citrus fruit, and strict pricing regulations are needed to prevent them from continuing to inflate prices.”AA3:“Research indicates that those who exercise regularly are hospitalized less than half as often as those whodon’t exercise. By providing a wellequipped gym for Saluda’s municipal employees, we should be able toreduce the cost of our group health insurance coverage by approximately 50% and thereby achieve a balanced town budget.”AA4:“Muscle Monthly, a fitness magazine that regularly features pictures of bodybuilders using state-of-the-art exercise machines, frequently sells out, according to the owner of Skyview Newsstand. To help maximize fitness levels in our town’s residents, we should, therefore, equip our new community fitness center with such machines.”第1页/共3页千里之行,始于足下AA5:一个人在一个叫SALLON的TOWN里有个小餐馆,买辣汉堡.两年前生意很好由于旁边有个LARGE PUBLIC SCHOOL 现在他预备去开3个新的店. 请始终跟他的3个人做MANAGERS 说自己的收入会是3倍AA6:Eight years ago, our firm’s profits were increasing with each new employee we added. We discovered that eachemployee had the skills and motivation to generate more revenue for the firm than his or her salary cost us.However, for the past two years, our profit margin has been falling, even though we have continued to addemployees. Thus, our newer employees are not generating enough revenue to justify their salaries. We mustnot be hiring new employees with the same level of skills and motivation as those we used to attract. Clearly,then, failures in the human resources department account for our falling profits.”AA7:The following appeared as part of a memorandum from the loan department of the Frostbite National Bank.“We should not approve the business loan application of the local group that wants to open a franchise outlet for the Kool Kone chain of ice cream parlors. Frostbite is known for its cold winters, and cold weather can mean slow ice cream sales. For example, even though Frostbite is a town of 10,000 people, it has only one ice cream spot — the Frigid Cow. Despite the lack of competition, the Frigid Cow’s net revenues fell by 10 percent last winter.”AA8:一个company的Cookville分厂很advanced and efficiency, since它的单位时间产量较其他分厂要高。
gmat考试题
gmat考试题GMAT(Graduate Management Admission Test)是全球范围内最为知名的商学院研究生入学考试。
GMAT考试题目包括语法、阅读理解、逻辑思维和数学等多个科目。
考生需要在规定的时间内回答一系列题目,以评估其在商学院学习中所需的能力。
以下是一些常见的GMAT考试题目及解答。
1. 语法题题目:下列哪个句子中的动词形式正确?A) He had went to the store yesterday.B) She have been studying for hours.C) They has completed the project on time.D) We were playing soccer in the park.解答:D) We were playing soccer in the park.2. 阅读理解题题目:根据以下文章,回答问题:文章:根据最新研究,早晨喝一杯咖啡可以提高大脑的注意力和记忆力。
研究者发现,咖啡因可以刺激中枢神经系统,改善思维能力。
此外,咖啡还可以提高代谢率,帮助人们保持清醒。
因此,早晨喝咖啡有助于提高工作效率和学习成绩。
问题:为什么早晨喝咖啡有助于提高工作效率和学习成绩?解答:根据文章中的研究结果,早晨喝咖啡可以刺激中枢神经系统,提高注意力和记忆力,从而提高工作效率和学习成绩。
3. 逻辑思维题题目:下列命题中哪个是合乎逻辑的?A) 如果今天下雨,那么我会带雨伞。
B) 如果今天下雨,那么我一定会带雨伞。
C) 如果今天下雨,那么我可能会带雨伞。
D) 如果今天下雨,那么我绝对不会带雨伞。
解答:C) 如果今天下雨,那么我可能会带雨伞。
4. 数学题题目:下列方程中哪个是一元二次方程?A) 2x + 3y = 6B) x^2 + 3x + 2 = 0C) 3x + 4y = 10D) x + y = 5解答:B) x^2 + 3x + 2 = 0以上是一些常见的GMAT考试题目及解答。
2023年GMAT考试真题
2023年GMAT考试真题第一部分:数学问题1:某公司2022年销售额为X万元,比上一年增长了25%,请计算2021年该公司的销售额。
解答1:设2021年销售额为Y万元。
根据题意有:X = Y +0.25Y。
化简得到:X = 1.25Y。
解方程可得:Y = X / 1.25。
问题2:已知正方形ABCD的边长为4cm,线段EF平分了BC,且垂直于BC。
求EF的长度。
解答2:由于EF与BC垂直,故BF=FC。
又因为BD=DC=4/2=2cm,所以三角形BDE为等腰直角三角形。
根据勾股定理可得:DE = sqrt(2^2 + (4/2)^2) = sqrt(4 + 4) = sqrt(8) =2sqrt(2) cm。
因此,EF的长度为2DE = 2*2sqrt(2) = 4sqrt(2) cm。
问题3:若a = 3^2^2,b = 2^3^4,c = (ab)^(1/2),求c的值。
解答3:首先计算a的值:a = 3^2^2 = 3^4 = 81。
然后计算b的值:b = 2^3^4 = 2^81。
由于指数运算满足指数法则,即a^b^c =a^(b*c),所以b = 2^(3*4) = 2^12。
将a和b的值代入c的表达式可得:c = (81*2^12)^(1/2) = (81*2^12)^(1/2) = sqrt(81*2^12)。
化简得:c = 9*2^6 = 576。
第二部分:语言问题1:选择最佳替代词以完善以下句子:“He is a ______artist and has won numerous awards.”a) talentedb) stubbornc) cautiousd) curious解答1:a) talented。
问题2:填入正确的介词以完善以下句子:“I'm looking forward ______ the weekend.”a) tob) inc) atd) for解答2:a) to。
Gmat考试逻辑试题90题(5)
37. Editorialist: Drivers with a large number of demerit points who additionally have been convicted of a serious driving-relative offense should either be sentenced to jail or be forced to receive driver reeducation, since to do otherwise would be to allow a crime to go unpunished. Only if such drivers are likely to be made more responsible drivers should driver re-education be recommended for them. Unfortunately, it is always almost impossible to make drivers with a large number of demerit points more responsible drivers. If the editorialist's statements are true, they provide the most support for which one of the following? (A) Drivers with a large number of demerit points who have been convicted of a serious driving-related offense should be sent to jail. (B) Driver re-education offers the best chance of making drivers with a large number of demerit points responsible drivers. (C) Driver re-education is not a harsh enough punishment for anyone convicted of a serious driving-related offense who has also (D) Driver re-education should not be recommended for those who have committed no serious (E) Drivers with a larger number of demerit points but no conviction for a serious driving-related offense should receive driver re-education rather than jail 38. Amphibian populations are declining in numbers worldwide. Not coincidentally, the earth's ozone layer has been continuously depleted throughout the last 50 years. Atmospheric ozone blocks UV-B, a type of ultraviolet radiation that is continuously produced by the sun, and which can damage genes. Because amphibians lack hair, hide, or feathers to shield them, they are particularly vulnerable to UV-B radiation. In addition, their gelatinous eggs lack the protection of leathery or hard shells. Thus, the primary cause of the declining amphibian population is the depletion of the ozone layer. Each of the following, if true, would strengthen the argument EXCEPT: (A) Of the <I>var</I>ious types of radiation blocked by atmospheric ozone, UV-B is the only type that can damage genes. (B) Amphibian populations are declining far more rapidly than are the populations of nonamphibian species whose tissues and eggs have more natural protection from UV-B. (C) Atmospheric ozone has been significantly depleted above all the areas of the world in which amphibian populations are declining. (D) The natural habitat of amphibians has not become smaller over the past century. (E) Amphibian populations have declined continuously for the last 50 years. 39. Quasars——celestial objects so far away that their light takes at least 500 million years to reach Earth——have been seen since 1963. For anything that far away to appear from Earth the way quasars do, it would have to burn steadily at a rate that produces more light than 90 billion suns would produce. But nothing that burns at a rate that produces that much light could exist for more than about 100 million years. If the statements above are true, which one of the following must also be true on the basis of them? (A) Instruments in use before 1963 were not sensitive enough to permit quasars to be seen. (B) Light from quasars first began reaching Earth in 1963. (C) Anything that from Earth appears as bright as a quasar does must produce more light than would be produced by 90 billion suns. (D) Nothing that is as far from Earth as quasars are can continue to exist for more than about 100 million years. (E) No quasar that has ever been seen from Earth exists any longer. 40. More and more computer programs that provide solutions to mathematical problems in engineering are being produced, and it is thus increasingly unnecessary for practicing engineers to have thorough understanding of fundamental mathematical principles. Consequently, in training engineers who will work in industry, less emphasis should be placed on mathematical principles, so that space in the engineering curriculum will be available for other important subjects. Which one of the following, if true, most seriously weakens the argument given for the recommendation above? (A) The effective use of computer program that provide solutions to mathematical problems in engineering requires an understanding of mathematical principles. (B) Many of the computer programs that provide solutions to mathematical problems in engineering are already in routine use. (C) Development of composites and other such new materials has meant that the curriculum for engineers who will work in industry must allow time for teaching the properties of these materials. (D) Most of the computer programs that provide solutions to mathematical problems in engineering can be run on the types of computers available to most engineering firms. (E) The engineering curriculum already requires that engineering students be familiar with and able to use a<I>var</I>iety of computer programs. 41. Raymond Burr played the role of lawyer Perry Mason on television. Burr's death in 1993 prompted a prominent lawyer to say "Although not a lawyer, Mr. Burr strove for such authenticity that we feel as if we lost one of our own." This comment from a prestigious attorney provides appalling evidence that, in the face of television, even some legal professionals are losing their ability to distinguish fiction from reality. The reasoning in the argument is flawed because the argument (A) takes the views of one lawyer to represent the views of all lawyers (B) criticizes the lawyer rather than the lawyer's statement (C) presumes that the lawyer is qualified to evaluate the perFORMance of an actor (D) focuses on a famous actor's portrayal of a lawyer rather than on the usual way in which lawyers are portrayed on television (E) ignores the part of the lawyer's remark that indicates an awareness of the difference between reality and fiction 42. For next year, the Chef's Union has requested a 10 percent salary increase for each of its members, whereas the Hotel Managers' Union has requested only an 8 percent salary increase for each of its members. These facts demonstrate that the average dollar amount of the raises that the Chefs' Union has requested for next year is greater than that of the raises requested by the Hotel Managers' Union. Which one of the following, if true, most strengthens the argument? (A) The Chefs' Union has many more members than does the Hotel Managers' Union. (B) The Chefs' Union is a more powerful union than is the Hotel Managers' Union and is therefore more likely to obtain the salary increases it requests (C) The current salaries of the members of the Chefs' Union are, on average, higher than the current salaries of the members of the Hotel Managers' Union (D) The average dollar amount of the raises that the members of the Chefs' Union received last ear was equal to the average dollar amount of the raises that the members of the Hotel Managers' Union received (E) The members of the Chefs' Union received salary increases of 10 percent in each of the last two years, while the members of the Hotel Managers' Union received salary increases of only 8 percent in each of the last two years 43. Zoos have served both as educational resources and as entertainment. Unfortunately, removing animals from their natural habitats to stock the earliest zoos reduced certain species' populations, endangering their survival. Today most new zoo animals are obtained from captive breeding programs, and many zoos now maintain breeding stocks for continued propagation of <I>var</I>ious species. This makes possible efforts to reestablish endangered species in the wild. Which one of the following statements is most strongly supported by the inFORMation above? (A) Zoos have played an essential role in educating the public about endangered species. (B) Some specimens of endangered species are born and bred in zoos. (C) No zoos exploit wild animals or endanger the survival of species. (D) Nearly all of the animals in zoos today were born in captivity. (E) The main purpose of zoos has shifted from entertainment to education. 44. Legal theorist: It is unreasonable to incarcerate anyone for any other reason than that he or she is a serious threat to the property or lives of other people. The breaking of a law does not justify incarceration, for lawbreaking proceeds either from ignorance of the law or of the effects of one's actions, or from the free choice of the lawbreaker. Obviously mere ignorance cannot justify incarcerating a lawbreaker, and even free choice on the part of the lawbreaker fails to justify incarceration, for free choice proceeds from the desires of an agent, and the desires of an agent are products of genetics and environmental conditioning, neither of which is controlled by the agent The claim in the first sentence of the passage plays which one of the following roles in the argument (A) It is offered as a premise that helps to show that no actions are under the control of the agent (B) It is offered as background inFORMation necessary to understand the argument (C) It is offered as the main conclusion that the argument is designed to establish (D) It is offered as evidence for the stated claim that protection of life and property is more important than retribution for past illegal acts (E) It is offered as evidence for the stated claim that lawbreaking proceeds from either ignorance of the law, or ignorance of the effects of one's actions, or free choice 45. Commissioner: Budget forecasters project a revenue shortfall of a billion dollars in the coming fiscal year. Since there is no feasible way to increase the available funds, our only choice is to decrease expenditures. The plan before you outlines feasible cuts that would yield savings of a billion dollars over the coming fiscal year. We will be able to solve the problem we face, therefore, only if we adopt this plan. This reasoning in the commissioner's argument is flawed because this argument (A) relies on inFORMation that is far from certain (B) confuses being an adequate solution with being a required solution (C) inappropriately relies on the opinions of experts (D) inappropriately employs language that is vague (E) takes for gran t e d t h a t t h e r e i s n o w a y t o i n c r e a s e a v a i l a b l e f u n d s / p > p b d s f i d = " 1 2 9 " > / p > / d i v > d i v i d = " f l o a t _ b t n " c l a s s = " " b d s f i d = " 1 3 0 " > b u t t o n c l a s s = " f l o a t _ b t n l e f t _ b t n " i d = " c o p y _ b u t t o n " d a t a - c l i p b o a r d - a c t i o n = " c o p y " d a t a - c l i p b o a r d - t a r g e t = " # c o n t e n t - t x t " o n c l i c k = " d o _ c o p y ( ) ; " b d s f i d = " 1 3 1 " > e m c l a s s = " i c o n " b d s f i d = " 1 3 2 " >。
GMAT真题1
Math Section------------------------------------------------------------------------------------------------------------ Q12:In the xy -plane, region R consists of all the points (x , y ) such that 2x + 3y = 6. Is the point (r , s ) in region R ?(1) 3r + 2s = 6(2) r = 3 and s = 2A. 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 sequence S has 250 terms, what is the 243rd term of S ?(1) The 242nd term of S is –494.(2) The first term of S is –12, and each term of S after the first term is 2 less than thepreceding term.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: ------------------------------------------------------------------------------------------------------------Q28: 4 3 the lot?6 12 211 the number of2 trucks, and of the trucks are pickups, how many pickups, in terms of n , are parked in 1 A. n5 B. n1 C.nD. E.8151112nnAnswer:------------------------------------------------------------------------------------------------------------ Q30:Number StudyingBiology Numberof BoysNumberof GirlsTotal 26Number Not Studying BiologyTotal18The table above shows the number of students in a certain high school class who are boys and the number of students in the class who are studying biology.What is the total number of students in the class?(1)Of the boys in the class, 15 are studying biology.(2) The number of girls in the class is twice the number of students in the class whoare not studying biology.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:If r = 0.345, s = (0.345), and t = 0.345, which of the following is the correct ordering of r, s, and t ?A.r < s < tB.r < t < sC.s < t < rD.s < r < tE.t < r < sAnswer:------------------------------------------------------------------------------------------------------------ Q37:One gram of a certain health food contains 7 percent of the minimum daily requirement of vitamin E and 3 percent of the minimum daily requirement of vitamin A.If vitamins E22and A are to be obtained from no other source, approximately how many grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins?A. 3B.7C.10D.14E.33Answer:------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ Answers:EBDCD, EVerbal Section------------------------------------------------------------------------------------------------------------Q1:Although producer prices rose at an unexpectedly steep rate in September, analysts said that the increase resulted mostly from temporary factors and not necessarily foreshadowing that there would be a resurgence of inflation.A.factors and not necessarily foreshadowing that there would beB.factors and not necessarily that it foreshadowedC.factors and did not necessarily foreshadowD.factors, while not necessarily a foreshadowing ofE.factors, while it did not necessarily foreshadow that there would beAnswer:------------------------------------------------------------------------------------------------------------ Q2:Thelonious Monk, who was a jazz pianist and composer, produced a body of work both rooted in the stride-piano tradition of Willie (The Lion) Smith and Duke Ellington, yet in many ways he stood apart from the mainstream jazz repertory.A.Thelonious Monk, who was a jazz pianist and composer, produced a body ofwork both rootedB.Thelonious Monk, the jazz pianist and composer, produced a body of work thatwas rooted bothC.Jazz pianist and composer Thelonious Monk, who produced a body of workrootedD.Jazz pianist and composer Thelonious Monk produced a body of wor k that wasrootedE.Jazz pianist and composer Thelonious Monk produced a body of work rooted bothAnswer:3------------------------------------------------------------------------------------------------------------ Q3:In the late 1980’s, the population of sea otters in the North Pacific Ocean began to decline.Of the two plausible explanations for the decline—increased predation by killer whales or disease—disease is the more likely.After all, a concurrent sharp decline in the populations of seals and sea lions was almost certainly caused by a pollution-related disease, which could have spread to sea otters, whereas the population of killer whales did not change noticeably.Which of the following, if true, most seriously weakens the reasoning?A.Killer whales in the North Pacific usually prey on seals and sea lions but will,when this food source is scarce, seek out other prey.B.There is no indication that substantial numbers of sea otters migrated to otherlocations from the North Pacific in the 1980’s.C.Along the Pacific coast of North America in the 1980’s, sea otters were absentfrom many locations where they had been relatively common in former times.D.Following the decline in the population of the sea otters, there was an increase inthe population of sea urchins, which are sea otters’ main food source.E.The North Pacific populations of seals and sea lions cover a wider geographicarea than does the population of sea otters.Answer:------------------------------------------------------------------------------------------------------------Q4 to Q6:Frazier and Mosteller assert thatmedical research could be improved bya move toward larger, simpler clinicalLine trials of medical treatments.Currently,(5) researchers collect far more backgroundinformation on patients than is strictlyrequired for their trials—substantially morethan hospitals collect—thereby escalatingcosts of data collection, storage, and(10) analysis.Although limiting informationcollection could increase the risk thatresearchers will overlook facts relevantto a study, Frazier and Mosteller contendthat such risk, never entirely eliminable(15) from research, would still be small in moststudies.Only in research on entirely newtreatments are new and unexpected vari-ables likely to arise.Frazier and Mosteller propose not(20) only that researchers limit data collec-tion on individual patients but also thatresearchers enroll more patients in clinical4(25) (30) (35) (40) trials, thereby obtaining a more represen- tative sample of the total population with the disease under study.Often research- ers restrict study participation to patients who have no ailments besides those being studied.A treatment judged successful under these ideal conditions can thenbe evaluated under normal conditions. Broadening the range of trial participants, Frazier and Mosteller suggest, would enable researchers to evaluate a treat- ment’s efficacy for diverse patients under various conditions and to evaluate its effectiveness for different patient sub- groups.For example, the value of a treatment for a progressive disease may vary according to a p atient’s stage of disease.Patients’ ages may also affecta treatment’s efficacy.--------------------------------------------------------------------------------Q4:According to the passage, Frazier and Mosteller believe which of the following about medical research?A.It is seriously flawed as presently conducted because researchers overlook factsthat are relevant to the subject of their research.B.It tends to benefit certain subgroups of patients disproportionately.C.It routinely reveals new variables in research on entirely new treatments.D.It can be made more accurate by limiting the amount of information researcherscollect.E.It cannot be freed of the risk that significant variables may be overlooked.Answer:--------------------------------------------------------------------------------Q5:The author mentions patients’ ages (line 40) primarily in order toA.identify the most critical variable differentiating subgroups of patientsB.cast doubt on the advisability of implementing Frazier and Mosteller’s proposalsabout medical researchC.indicate why progressive diseases may require different treatments at differentstagesD.illustrate a point about the value of enrolling a wide range of patients in clinicaltrialsE.substantiate an argument about the problems inherent in enrolling large numbersof patients in clinical trialsAnswer:5--------------------------------------------------------------------------------Q6:The passage is primarily concerned withA.identifying two practices in medical research that may affect the accuracy ofclinical trialsB.describing aspects of medical research that tend to drive up costsC.evaluating an analysis of certain shortcomings of current medical researchpracticesD.describing proposed changes to the ways in which clinical trials are conductedE.explaining how medical researchers have traditionally conducted clinical trialsand how such trials are likely to changeAnswer:------------------------------------------------------------------------------------------------------------ Q7 to Q10:The system of patent-granting, which conferstemporary monopolies forLine the exploitation of new tech-(5) nologies, was originallyestablished as an incentiveto the pursuit of risky newideas.Yet studies of themost patent-conscious(10) business of all—the semi-conductor industry—suggestthat firms do not necessarilybecome more innovative asthey increase their patenting(15) activity.Ziedonis and Hall,for example, found thatinvestment in research anddevelopment (a reasonableproxy for innovation) did(20) not substantially increasebetween 1982 and 1992,the industry’s most feverishperiod of patenting.Instead,semiconductor firms simply(25) squeezed more patents outof existing research anddevelopment expenditures.Moreover, Ziedonis andHall found that as patenting(30) activity at semiconductorfirms increased in the6(35) (40) (45) (50) (55) 1980’s, th e consensus among industry employees was that the average quality of their firms’ patents declined.Though patent quality is a difficult notion to measure, the number of times a patent is cited inthe technical literature isa reasonable yardstick, and citations per semiconductor patent did decline during the 1980’s.This decline in quality may be related to changes in the way semi- conductor firms managed their patenting process: rather than patenting to win exclusive rig hts to a valuable new technology, patents were filed more for strategic purposes, to be used as bargaining chips to wardoff infringement suites oras a means to block competitors’ products.--------------------------------------------------------------------------------Q7:The passage is primarily concerned with discussingA. a study suggesting that the semiconductor industry’s approach to patenting duringthe period from 1982 to 1992 yielded unanticipated resultsB. a study of the semiconductor industry during the period from 1982 to 1992 thatadvocates certain changes in the industry’s management of the patenting processC.the connection between patenting and innovation in the semiconductor industryduring the period from 1982 to 1992D.reasons that investment in research and development in the semiconductorindustry did not increase significantly during the period from 1982 to 1992E.certain factors that made the period from 1982 to 1992 a time of intense patentingactivity in the semiconductor industryAnswer:--------------------------------------------------------------------------------Q8:The passage suggests which of the following about patenting in the semiconductor industry during the period from 1982 to 1992 ?7A.The declining number of citations per semiconductor patent in the technicalliterature undermines the notion that patenting activity increased during thisperiod.B. A decline in patent quality forced firms to change the way they managed thepatenting process.C.Increased efficiencies allowed firms to derive more patents from existingresearchand development expenditures.D.Firms’ emphasis on filing patents for strategic purposes may have contributed to adecline in patent quality.E.Firms’ attempts to derive more patents from existing research and developmentexpenditures may have contributed to a decline in infringement suites.Answer:--------------------------------------------------------------------------------Q9:The passage makes which of the following claims about patent quality in the semiconductor industry?A.It was higher in the early 1980’s than it was a decade later.B.It is largely independent of the number of patents granted.C.It changed between 1982 and 1992 in ways that were linked to changes inresearch and development expenditures.D.It is not adequately discussed in the industry’s t echnical literature.E.It was measured by inappropriate means during the period from 1982 to 1992.Answer:--------------------------------------------------------------------------------Q10:Which of the following, if true, would most clearly serve to weaken the author’s claim about what constitutes a reasonable yardstick for measuring patent quality?A.It is more difficult to have an article accepted for publication in the technicalliterature of the semiconductor industry than it is in the technical literature ofmost other industries.B.Many of the highest-quality semiconductor patents are cited numerous times inthe technical literature.C.It is difficult for someone not familiar with the technical literature to recognizewhat constitutes an innovative semiconductor patent.D.There were more citations made per semiconductor patent in the technicalliterature in the 1970’s than in the 1980’s.E.Low-quality patents tend to be discussed in the technical literature as frequentlyas high-quality patents.Answer:------------------------------------------------------------------------------------------------------------ Q11:There are no legal limits, as there are for cod and haddock, on the size of monkfish that can be caught, a circumstance that contributes to their depletion through overfishing.8A.There are no legal limits, as there are for cod and haddock, on the size ofmonkfish that can be caught, a circumstance that contributes to their depletionthrough overfishing.B.There are no legal limits on the size of monkfish that can be caught, unlike cod orhaddock, a circumstance that contributes to depleting them because they are being overfished.C.There are legal limits on the size of cod and haddock that can be caught, but notfor monkfish, which contributes to its depletion through overfishing.D.Unlike cod and haddock, there are no legal size limits on catching monkfish,which contributes to its depletion by being overfished.E.Unlike catching cod and haddock, there are no legal size limits on catchingmonkfish, contributing to their depletion because they are overfished.Answer:------------------------------------------------------------------------------------------------------------ Q12:A certain automaker aims to increase its market share by deeply discounting its vehicles’ prices for the next several months.The discounts will cut into profits, but because they will be heavily advertised the manufacturer hopes that they will attract buyers away from rival manufacturers’ cars.In the longer term, the automaker envisions that customers initially attracted by the discounts may become loyal customers.In assessing the plan’s chances of achieving its aim, it would be most useful to know which of the following?A.Whether the automaker’s competitors are likely t o respond by offering deepdiscounts on their own productsB.Whether the advertisements will be created by the manufacturer’s currentadvertising agencyC.Whether some of the automaker’s models will be more deeply discounted thanothersD.Whether the automaker will be able to cut costs sufficiently to maintain profitmargins even when the discounts are in effectE.Whether an alternative strategy might enable the automaker to enhance itsprofitability while holding a constant or diminishing share of the marketAnswer:------------------------------------------------------------------------------------------------------------ Q13:With a record number of new companies starting up in Derderia, and with previously established companies adding many new jobs, a record number of new jobs were created last year in the Derderian economy.This year, previously established companies will not be adding as many new jobs overall as such companies added last year.Therefore, unless a record number of companies start up this year, Derderia will not break its record for new jobs created.Which of the following is an assumption on which the argument relies?9A.In a given year, new companies starting up create more new jobs on average thando previously established companies.B.The number of people seeking employment is no larger this year than it was lastyear.C.This year, the new companies starting up will not provide substantially more jobsper company than did new companies last year.D.Previously established companies in Derderia will be less profitable this year thansuch companies were last year.E.The number of jobs created in the Derderian economy last year was substantiallylarger than the number of jobs lost.Answer:------------------------------------------------------------------------------------------------------------Q14:Studies in restaurants show that the tips left by customers who pay their bill in cash tendto be larger when the bill is presented on a tray that bears a credit-card logo.Consumer psychologists hypothesize that simply seeing a credit-card logo makes many credit-card holders willing to spend more because it reminds them that their spending power exceedsthe cash they have immediately available.Which of the following, if true, most strongly supports the psychologists’ interpretationof the studies?A.The effect noted in the studies is not limited to patrons who have credit cards.B.Patrons who are under financial pressure from their credit-card obligations tend totip less when presented with a restaurant bill on a tray with credit-card logo thanwhen the tray has no logo.C.In virtually all of the cases in the studies, the patrons who paid bills in cash didnot possess credit cards.D.In general, restaurant patrons who pay their bills in cash leave larger tips than dothose who pay by credit card.E.The percentage of restaurant bills paid with given brand of credit card increaseswhen that credit card’s logo is displayed on the tray with which the bill isprepared.Answer:------------------------------------------------------------------------------------------------------------Q15:Clouds are formed from the evaporation of the oceans’ water that is warmed by the Sunand rises high into the atmosphere, condensing in tiny droplets on minute particles of dust.A.Clouds are formed from the evaporation of the oceans’ water that is warmed bythe Sun and rises high into the atmosphere, condensing in tiny droplets on minuteparticles of dust.B.Clouds form by the Sun’s warmth evaporating the water in the oceans, which riseshigh into the atmosphere, condensing in tiny droplets on minute particles of dust.C.Warmed by the Sun, ocean water evaporates, rises high into the atmosphere, andcondenses in tiny droplets on minute particles of dust to form clouds.10D.The water in the oceans evaporates, warmed by the Sun, rises high into theatmosphere, and condenses in tiny droplets on minute particles of dust, whichforms clouds.E.Ocean water, warmed by the Sun, evaporates and rises high into the atmosphere,which then condenses in tiny droplets on minute particles of dust to form asclouds.Answer:------------------------------------------------------------------------------------------------------------ Q16:The fact of some fraternal twins resembling each other greatly and others looking quite dissimilar highlights an interesting and often overlooked feature of fraternal-twin pairs, namely they vary considerably on a spectrum of genetic relatedness.A.The fact of some fraternal twins resembling each other greatly and others lookingquite dissimilar highlights an interesting and often overlooked feature of fraternal-twin pairs, namely they vary considerablyB.That some fraternal twins resemble each other greatly while others look quitedissimilar highlights an interesting and often overlooked feature of fraternal-twin pairs, namely that they vary considerablyC.With some fraternal twins resembling each other greatly and others looking quitedissimilar, it highlights an interesting and often overlooked feature of fraternal-twin pairs, namely considerable variationD.With some fraternal twins resembling each other greatly and others looking quitedissimilar, it is a fact that highlights an interesting and often overlooked feature of fraternal-twin pairs, namely a considerable variationE.Because some fraternal twins resemble each other greatly and others look quitedissimilar, this fact highlights an interesting and often overlooked feature offraternal-twin pairs, namely they vary considerablyAnswer:------------------------------------------------------------------------------------------------------------ Q17:Fossils of a whale that beached on an African shore more than a million years ago and was subsequently butchered by hominids have been recovered by paleontologists.A.that beached on an African shore more than a million years ago and wassubsequently butchered by hominids haveB.that beached on an African shore more than a million years ago and then wassubsequently butchered by hominids hasC.that beached on an African shore more than a million years ago, which wassubsequently butchered by hominids, hasD.having been beached on an African shore more than a million years ago andsubsequently butchered by hominids, haveE.having beached on an African shore more than a million years ago and thensubsequently were butchered by hominids haveAnswer:------------------------------------------------------------------------------------------------------------11Q18:According to a recent study of consumer spending on prescription medications, increases in the sales of the 50 drugs that were advertised most heavily accounts for almost half of the $20.8 billion increase in drug spending last year, the remainder of which came from sales of the 9,850 prescription medicines that companies did not advertise or advertised very little.A.heavily accounts for almost half of the $20.8 billion increase in drug spending lastyear, the remainder of which cameB.heavily were what accounted for almost half of the $20.8 billion increase in drugspending last year; the remainder of the increase comingC.heavily accounted for almost half of the $20.8 billion increase in drug spendinglast year, the remainder of the increase comingD.heavily, accounting for almost half of the $20.8 billion increase in drug spendinglast year, while the remainder of the increase cameE.heavily, which accounted for almost half of the $20.8 billion increase in drugspending last year, with the remainder of it comingAnswer:------------------------------------------------------------------------------------------------------------ Q19:Certain politicians in the country of Birangi argue that a 50 percent tax on new automobiles would halt the rapi d increase of automobiles on Birangi’s roads and thereby slow the deterioration of Birangi’s air quality.Although most experts agree that such a tax would result in fewer Birangians buying new vehicles and gradually reduce the number of automobiles on Birangi’s roads, they contend that it would have little impact on Birangi’s air-quality problem.Which of the following, if true in Birangi, would most strongly support the experts’ contention about the effect of the proposed automobile tax on Birangi’s air-quality problem?A.Automobile emissions are the largest single source of air pollution.B.Some of the proceeds from the new tax would go toward expanding thenonpolluting commuter rail system.C.Currently, the sales tax on new tax on new automobiles is considerably lower than50 percent.D.Automobiles become less fuel efficient and therefore contribute more to airpollution as they age.E.The scrapping of automobiles causes insignificant amounts of air pollution.Answer:------------------------------------------------------------------------------------------------------------ Q20:Not only did the systematic clearing of forests in the United States create farmland (especially in the Northeast) and gave consumers relatively inexpensive houses and furniture, but it also caused erosion and very quickly deforested whole regions.12A.Not only did the systematic clearing of forests in the United States createfarmland (especially in the Northeast) and gave consumers relatively inexpensive houses and furniture, but it alsoB.Not only did the systematic clearing of forests in the United States createfarmland (especially in the Northeast), which gave consumers relativelyinexpensive houses and furniture, but alsoC.The systematic clearing of forests in the United States, creating farmland(especially in the Northeast) and giving consumers relatively inexpensive houses and furniture, but alsoD.The systematic clearing of forests in the United States created farmland(especially in the Northeast) and gave consumers relatively inexpensive housesand furniture, but it alsoE.The systematic clearing of forests in the United States not only created farmland(especially in the Northeast), giving consumers relatively inexpensive houses and furniture, but itAnswer:Note:Guan, Weidong told me that ETS made the question wrong.The answer should be “A” on the condition of“it but also”.------------------------------------------------------------------------------------------------------------ Q21:Although the earliest surviving Greek inscriptions written in an alphabet date from the eighth century B.C., a strong case can be made that the Greeks actually adopted alphabetic writing at least two centuries earlier.Significantly, the text of these earliest surviving Greek inscriptions sometimes runs from right to left and sometimes from left to right.Now, the Greeks learned alphabetic writing from the Phoenicians, and in the process they would surely have adopted whatever convention the Phoenicians were then using with respect to the direction of writing.Originally, Phoenicians writing ran in either direction, but by the eighth century B.C. it had been consistently written from right to left for about two centuries.In the argument given, the two portions in boldface play which of the following roles?A.The first provides evidence in support of the position that the argument seeks toestablish; the second is that position.B.The first provides evidence in support of the position that the argument seeks toestablish; the second presents an assumption on which that argument relies.C.The first is an assumption that the argument concludes is unjustified; the secondpresents part of the grounds for that conclusion.D.The first is evidence that forms the basis for an objection to the position that theargument seeks to establish; the second is that position.E.The first is evidence that forms the basis for an objection to the position that theargument seeks to establish; the second is a judgment that is introduced in order to call into question the relevance of that evidence.Answer:Note:Compare the question above with Q18 in 10/04/02 edition shown below. QX:13。
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GMAT考试真题I. 驳论文Argument 30分钟完成读下面的论点及其后面的要求,可以任意做笔记来帮助你构思你的回答。
请在屏幕下方的方框内作答。
下面的文章摘自一个有名的娱乐杂志的专栏:如果即将上映的电影3003的制作人肯花重金让Robin Good在其中参演的话,他们的利润将会达到一个最大化,即使这笔重金的花费比整个电影的其他参与人员的费用总额还要高。
毕竟,Robin在过去很多电影中都是被重金聘请,并且这些电影都有很成功的票房。
讨论你认为这篇评论有多合理。
在讨论中记得分析评论的理由论证及证据的运用。
比如,你可以考虑假设本身的问题,什么样的例子可能会削弱结论。
你也可以讨论什么样的证据可以支持或者否定这个论点,什么改变可以让这个论点更合理,或者是更好的帮助你评价这个结论。
2. 立论文Issue 30分钟完成读下面的论点及其后面的要求,可以任意做笔记来帮助你构思你的回答。
请在屏幕下方的方框内作答。
让单独的一个国家独自去承受保护能源必须做出的牺牲是不现实的。
如果我们想要保护世界能源,就需要国际间的领导和全球性的合作。
讨论你在多大程度上同意或反对这个观点。
用自己的经验、观察或阅读知识来支持你的观点。
3. 数学Quantitative 37道题,75分钟内完成题目说明:在数学部分,你会遇到两种题目:问题解决和数据充分性。
对于每道问题解决题来说,你需要解决所给定的数学题并且在5个答案中选择一个正确答案。
(相当于我们的数学考试里的选择题);对于数据充分性题目来说,题目会包含一个问题和两个陈述(1)和(2),用这两个条件和相应的数学知识来看这两个条件对于解决给出的问题是否充分有效(能否用条件算出问题的结果),这种题目的5个选项永远是相同的,即:A 陈述(1)单独是充分的,但是陈述(2)单独不充分B 陈述(2)单独是充分的,但是陈述(1)单独不充分C 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分D 每一个陈述单独都是有效的E 陈述(1)和陈述(2)合在一起都是不充分的例如:在三角形PQR里,x的值是什么?(1)PQ=PR(2)y=40解答:从陈述(1)可知,PQR是等腰三角形,所以y=z;而三角形内角和为180°,所以x+y+z=180°,也就是x+2y=180°,但是因为陈述(1)并没有说明y的值是什么,所以求不出x的值,所以陈述(1)单独不有效;在陈述(2)中,y=40可得出x+z=140,因为陈述(2)并没有说明z的值,所以也求不出x的值,所以陈述(2)单独不有效;但是把两个陈述合在一起,我们就知道,x+2y=180,y=40,那么x的值自然就求出来了,所以答案应该选C ,两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分。
正式题目:1、一个计划的财年计划预算是12600美元,平均分配到12个月,在该财年第四个月的末尾处,这个计划一共花了4580美金,问这个计划超出了预算多少钱?(A) $ 380(B) $ 540(C) $1,050(D) $1,380(E) $1,4302、对于每个正偶整数n,函数h(n)被定义为从2到n的所有偶整数的乘积,包含2和n。
如果p是函数h(100)+1的最小的质因子,那么p就是?(A) 在2和10之间(B) 在10和20之间(C) 在20和30之间(D) 在30和40之间(E) 大于403、3.如上图,在圆形中,角PRO是35o, PQ平行于直径OR,且OR=18。
求劣弧PQ 的长度。
(A) 2π(B) 9 4π(C) 7 2π(D) 9 2π(E) 3π4、Pam和Ed排在一队里买票,这个队伍总共有多少人?(1)在Pam后面有20个人,在Ed前面有20个人(2)在Pam和Ed之间有5个人(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的5. 若x和y为10到99之间的整数(包括10和99),那么是否为整数?(1)x和y的个位与十位是顺序颠倒的相同的两个数(2)x的十位比个位大2,y的十位比个位小2(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的6. 若n是5的倍数且n=p2q,q和p都是质数,那么以下哪一项一定是25的倍数?(A) p2(B) q2(C) pq(D) p2q2(E) p3q7. 对于正数a和b来说,以下哪一项满足于f(a + b) = f(a) + f(b)?(A) f(x) = x2(B) f(x) = x + 1(C) f(x)=(D) f(x)=(E) f(x) = -3x8. 若n=kp, p>0,k>p?(1)n<p2(2)n>k2(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的9. 在324,700和458,600之间有多少个十位为1、个位为3的数?(A) 10,300(B) 10,030,(C) 1,353(D) 1,352(E) 1,33910. 在一个游戏中,有一个装满了红,黄,绿,蓝珠子的大箱子,每个不同颜色的珠子对应于7,5,3,2分。
从箱子里拿走了一些珠子,如果拿走的珠子所代表的分值的积为147,000.那么一共拿走了多少个红色的珠子?(A) 5(B) 4(C) 3(D) 2(E) 011. 在1972-1973学年,美国的大学共授予了774名数学博士美国公民,其中W名为女性。
在1986-1987学年共授予了362名,其中w名为女性。
如果被美国大学授予美国公民的女性人数从1972-1973学年至1986-1987学年减少了,那么减少的人数少于10%吗?(1)11 107749W<<(2)W=w+5(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的12. =(A) 0.004(B) 0.008(C) 0.02(D) 0.04(E) 0.213.如上表所示,以下哪一项最接近美国1999至2000年的年发货量的中位数?(A) 250,000(B) 280,000(C) 310,000(D) 325,000(E) 340,00014. 在食堂吃饭的学生中,每一个学生对于青豆和球芽甘蓝都是或者喜欢或者不喜欢。
在这些学生中,有23不喜欢青豆,在这些不喜欢青豆的学生中,又有35不喜欢球芽甘蓝。
那么有多少学生喜欢球芽甘蓝但是不喜欢青豆?(1)共有120名学生在食堂吃饭。
(2)共有40名学生不喜欢青豆(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的15. 正整数n有多少个不同的质因子?(1)2n有4个不同个质因子(2)n2有4个不同的质因子(A) 条件1单独是充分的,但条件2单独不充分(B) 条件2单独是充分的,但条件1单独不充分(C) 条件1和条件2合并为充分,但单独都不充分(D) 二者单独都是充分的(E) 条件1和条件2合并不充分16. 若n和m是正整数,则3(4n+2+m)被10除的余数是多少?(1) n = 2(2) m = 1(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的17. 在数轴上,x在-5的右边吗?(1)x在-7的右边(2)x在-4和-3的之间(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的18. 那么4:00 P.M.的时候有多少细菌?(A) 12.0(B) 12.1(C) 12.2(D) 12.3(E) 12.419. 若n是大于6的整数,以下哪一项一定可以被3整除?(A) n(n+1)(n-4)(B) n(n+2)(n-1)(C) n(n+3)(n-5)(D) n(n+4)(n-2)(E) n(n+5)(n-6)20. 在测量某一现象的强度时,测量读数n+1为读数n的10倍。
那么读数为8的强度是读数为3的强度的几倍?(A) 5(B) 50(C) 105(D) 510(E) 810-31021.在xy 平面里,有线n 和p 。
n 的斜率小于p 斜率吗?(1)n 和p 相交于点(5,1)(2)n 与y 轴的截距大于p 与y 轴的截距。
(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的22. 在ΔPQR, 若 PQ = x, QR = x + 2, PR = y, 那么ΔPQR 中哪个角的度数最大?(1) y = x + 3(2) x = 2(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的23. 若a 和b 都是正数,那么在xy 平面中,线段CD 的中点坐标是多少?(1)C 的坐标为(a,1-b )(2)D 的坐标为(1-a,b )(A) 陈述(1)单独是充分的,但是陈述(2)单独不充分(B) 陈述(2)单独是充分的,但是陈述(1)单独不充分(C) 两个陈述合在一起是充分的,但是单独的陈述哪一个都不充分(D) 每一个陈述单独都是有效的(E) 陈述(1)和陈述(2)合在一起都是不充分的24. 正整数x 被正整数y 除,余数为9, 若96.12x y,y=? (A) 96(B) 75(C) 48(D) 25(E) 1225. 如上图,每一个*代表一个入口,表示在这5个城市中每两个之间的距离。