最新GRE数学机经200道.
数学机经200题

AB=12, AC=30, and AD= 2/5(AC). Quantity A: The measure of angle BDC 。 Quantity B: 120 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given.
4. x2+6x=7 Quantity A: (x+3)2 Quantity B: 16 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 5. Quantity A: The number of different prime factors of 500 Quantity B: The number of different prime factors of 360. A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 6. Quantity A: The area of a triangular region with perimeter 8 Quantity B: 8 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 7. List L consists of 7 numbers. The range of the numbers in list L is 0. Quantity A: The average (arithmetic mean) of the numbers in list L. Quantity B: 0 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given. 8. s=|t-2| Quantity A: s+2 Quantity B: |t| A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given.
考满分GRE镇考机经词(2)

考满分GRE镇考机经词(2)答案解析1. circumspect 分值:5您的回答为:thinking carefully about possible risks before doing or sayingsomething (得分:5)2. civility 分值:5您的回答为:polite actions and words (得分:5)3. circumstantial 分值:5您的回答为:belonging to, consisting in, or dependent on circumstances (得分:5)4. circuitous 分值:5您的回答为:not straight, short, and direct (得分:5)5. compunction 分值:5您的回答为:a way of reaching agreement in which each person or group gives up something that was wanted in order to end an argument or dispute正确答案为:a feeling of guilt or regret6. conciliatory 分值:5您的回答为:willing to end a disagreement with someone (得分:5)7. condign 分值:5您的回答为:very lively, happy, or energetic正确答案为:deserved, appropriate8. conspicuous 分值:5您的回答为:very easy to see or notice (得分:5)9. contingent 分值:5您的回答为:relating to or causing much discussion, disagreement, or argument 正确答案为:depending on something else that might or might not happen10. contravene 分值:5您的回答为:to fail to do what is required by (a law or rule) (得分:5)11. conundrum 分值:5您的回答为:a confusing or difficult problem (得分:5)12. convulsion 分值:5您的回答为:a confusing or difficult problem正确答案为:a sudden change or disturbance that affects a country, organization, etc.13. covet 分值:5您的回答为:to want (something that you do not have) very much (得分:5)14. crab 分值:5您的回答为:to complain about peevishly (得分:5)15. credulous 分值:5您的回答为:too ready to believe things (得分:5)16. cryptic 分值:5您的回答为:difficult to understand (得分:5)17. curt 分值:5您的回答为:sparing of words; terse (得分:5)18. decrepitude 分值:5您的回答为:the process or result of being slowly destroyed by natural precesses 正确答案为:the state of being old and in bad condition or poor health19. deflate 分值:5您的回答为:to reduce or cause to contract (得分:5)20. demarcation 分值:5您的回答为:the establishment of boundaries or limits separating two areas, groups,or things (得分:5)21. demur 分值:5您的回答为:to disagree politely with another person’s statement orsuggestion (得分:5)22. deprecatory 分值:5您的回答为:serving to deprecate: disapproving (得分:5)23. detestation 分值:5您的回答为:extreme hatred or dislike (得分:5)24. devious 分值:5您的回答为:of the nature of a sketch: roughly outlined正确答案为:willing to lie and trick people in order to get what is wanted25. dexterous 分值:5您的回答为:having or showing great skills or cleverness (得分:5)26. diatribe 分值:5您的回答为:an angry and usually long speech or piece of writing that stronglycriticizes someone or something (得分:5)27. dilatory 分值:5您的回答为:characterized by steady, earnest, and energetic effort正确答案为:characterized by procrastination28. diminutive 分值:5您的回答为:very small (得分:5)29. discretionary 分值:5您的回答为:done or used when necessary (得分:5)30. disgorge 分值:5您的回答为:to let out or release (something) (得分:5)31. commonplace 分值:5您的回答为:something that happens or appears in many places and is notunusual┋an obvious or trite comment: truism (得分:5)32. compelling 分值:5您的回答为:very interesting┋capable of causing someone to believe oragree┋strong and forceful (得分:5)33. compromise 分值:5您的回答为:an opinion or idea formed without proof or sufficient evidence┋a way of reaching agreement in which each person or group gives up something that waswanted in order to end an argument or dispute┋to damage or weaken (something) 正确答案为:a way of reaching agreement in which each person or group gives up something that was wanted in order to end an argument or dispute|to damage orweaken (something)34. confound 分值:5您的回答为:to surprise and confuse┋to prove (something) wrong (得分:5)35. contagious 分值:5您的回答为:having a sickness that can be passed to someone else bytouching┋capable of being easily spread to others (得分:5)36. deliberate 分值:5您的回答为:to think about or discuss something very carefully in order to make a decision┋done or said in a way that is planned or intended┋done or decided aftercareful thought (得分:5)37. design 分值:5您的回答为:deliberate purposive planning┋the process of planning how something will look, happen, be made (得分:5)38. diffident 分值:5您的回答为:lacking confidence┋very careful about acting or speaking (得分:5)39. dismiss 分值:5您的回答为:to decide not to think about or consider┋to permit or cause toleave┋to remove from position or service┋to reject serious considerationof (得分:5)40. dispatch 分值:5您的回答为:to send quickly to a particular place for a particularpurpose┋promptness and efficiency in performance or transmission┋noticeable difference between each other正确答案为:to send quickly to a particular place for a particular purpose|promptness and efficiency in performance or transmission请在此输入问题标题[矩阵文本题]*(1) 打卡时间(例如:2016/03/12)2017/10/17(2) 打卡群名片(例如:张三丰)D。
gre考试数学真题试卷

gre考试数学真题试卷GRE考试数学真题试卷一、选择题(每题1分,共20分)1. If the function f(x) = 3x^2 - 2x + 1, what is the value of f(1)?A. 0B. 2C. 3D. 4E. 52. What is the derivative of the function g(x) = 4x^3 - x^2 + 7?A. 12x^2 - 2xB. 12x^2 + 2xC. 12x^3 - 2xD. 12x^3 + 2xE. 12x^3 - 2x^23. The area under the curve of y = x^2 from x = 0 to x = 2 is:A. 2B. 4C. 8D. 10E. 124. If a and b are the roots of the quadratic equation x^2 +5x + 6 = 0, what is the value of a + b?A. -3B. -2C. -1D. 0E. 15. The slope of the line passing through the points (2, 3) and (4, 7) is:A. 1B. 2C. 3D. 4E. 56. What is the value of sin(30°)?A. 1/2B. √2/2C. √3/2D. 2/√3E. 1/√27. The integral of the function h(x) = 3x + 2 is:A. x^3 + 2x + CB. x^3 + 2x^2 + CC. x^2 + 2x + CD. 3x^2 + 2x + CE. 3x^2 + 2x^3 + C8. The equation of a circle with center (3, 4) and radius 5 is:A. (x - 3)^2 + (y - 4)^2 = 25B. (x - 3)^2 + (y - 4)^2 = 1C. (x - 3)^2 + (y - 4)^2 = 100D. (x - 3)^2 + (y - 4)^2 = 625E. (x - 3)^2 + (y - 4)^2 = 09. The volume of a sphere with radius 4 is:A. 256πB. 512πC. 1024πD. 2048πE. 4096π10. If the sequence 2, 6, 18, 54, ... is a geometric sequence, what is the common ratio?A. 2B. 3C. 4D. 5E. 6二、填空题(每题2分,共20分)11. If the sum of the first n terms of an arithmetic sequence is given by S_n = n^2, then the 5th term of the sequence is__________.12. The equation of the line perpendicular to y = 2x - 1 and passing through the point (1, 3) is __________.13. The value of the definite integral ∫(0 to 1) x^2 dx is__________.14. If the function f(x) = sin(x) + cos(x), then f''(x) is__________.15. The area of a triangle with vertices at (0,0), (3,0), and (0,4) is __________.16. The limit of the function (1 + 1/n)^n as n approaches infinity is __________.17. The value of e^(iπ) is __________.18. The standard deviation of the data set {2, 4, 6, 8, 10} is __________.19. If a fair coin is tossed 5 times, the probability of getting exactly 3 heads is __________.20. The value of the binomial coefficient C(n, k) when。
2024 GRE考试必备数学历年真题练习

2024 GRE考试必备数学历年真题练习在GRE数学部分的备考过程中,历年真题的练习是非常重要的一环。
通过针对性的练习,考生可以熟悉考试题型,了解考点,提升解题速度和准确性。
本文将为大家提供2024年GRE考试的数学历年真题练习,帮助考生更好地备考。
1. 整数1.1 题目选择下列哪个数是正偶数?(A) -12(B) -5(C) 0(D) 9(E) 271.2 解析正偶数是指能够被2整除的正整数。
从选项中排除负数,在0和正数中,只有0能够被2整除,因此答案选(C)。
2. 几何2.1 题目下图中,正方形ABCD的边长为3。
点E是线段BC的中点,点F是线段BD上的一点,且AF的长度为3。
求射线AF与线段CE的交点P到点E的距离。
[图片描述:一个正方形ABCD,边长为3,线段BC的中点为E,线段BD上的一点为F,AF的长度为3]2.2 解析首先,可以得出正方形ABCD的对角线AC的长度为3的开平方乘以2,即AC=3乘以根号2。
由于AE与CF平行且等长,射线AF可以看作与线段BE平行且等长。
因此,三角形BEP是等腰直角三角形,所以BP = EP = EC的一半。
又因为BC=3,所以EC=3/2。
因此,点P到点E的距离为1.5个单位。
3. 概率与统计3.1 题目某次测试的成绩服从正态分布,平均成绩为80分,标准差为5分。
已知一个学生的成绩在85分以上的概率为0.841,求这个学生的成绩。
3.2 解析根据正态分布的性质,均值加上标准差得到的分数对应的概率是大约0.841。
因此,这个学生的成绩应该在平均成绩80分加上标准差5分的位置,即85分。
通过以上三个部分的例题,希望能够帮助到考生更好地了解2024年GRE考试数学部分的题型和解题思路。
在备考过程中,考生还需深入学习数学知识,掌握解题技巧,并进行大量真题练习,提升解题能力。
祝愿各位考生在考试中取得好成绩!。
新GRE数学真题(OG+机经)

1.y=2x2+7x – 3x y2.The figure above shows the graph of a function f, defined by f(x)=|2x|+4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f ?A g(x) x–2B g(x) x 3C g(x) 2x – 2D g(x) 2x 3E g(x) 3x – 23.Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salaryis $25,000 for the employees in Department X and is $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees in the company?Indicate all such amounts.A $26,000B $28,000C $29,000D $30,000E $31,000F $32,000G $34,0004.Working alone at its constant rate, machine A produces k car parts in 10 minutes. Working alone at its constant rate, machine B produces k car partsin 15 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce k car parts?____________minutes5.1)If the dollar amount of sales at Store P was $800,000 for 2006, what was the dollar amount of sales at that store for 2008 ?A $727,200B $792,000C $800,000D $880,000E $968,0002)At Store T, the dollar amount of sales for 2007 was what percent of the dollar amount of sales for 2008 ?Give your answer to the nearest 0.1 percent.___________%3)Which of the following statements must be true?Indicate all such statements.A For 2008 the dollar amount of sales at Store R was greater than that at each of the other four stores.B The dollar amount of sales at Store S for 2008 was 22 percent lessthan that for 2006.C The dollar amount of sales at Store R for 2008 was more than 17 percent greater than that for 2006.6.A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy?A 9B 10C 11D 12E 207.A list of numbers has a mean of 8 and a standard deviation of 2.5. If x is a number in the list that is 2 standard deviations above the mean, what is the value of x ?x=______8.Frequency Distribution for List XNumber 1 2 3 5Frequency 10 20 18 12Frequency Distribution for List YNumber 6 7 8 9Frequency 24 17 10 9List X and list Y each contain 60 numbers. Frequency distributions for each list are given above. The average (arithmetic mean) of the numbers in list X is 2.7, and the average of the numbers in list Y is 7.1. List Z contains 120 numbers: the 60 numbers in list X and the 60 numbers in list Y.Quantity A Quantity BThe average of the 120numbers in list Z The median of the 120 numbers in list Z 9.The figure above shows the graph of the function f in the xy-plane. What isthe value of f ( f (–1)) ?A –2B –1C 0D 1E 210.By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?A 10%B 13%C 15%D 19%E 26%11.Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?A 0.5B 0.6C 0.7D 0.8E 0.912.Line k lies in the xy-plane. The x-intercept of line k is –4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9) and (2, 0). What is the slope of line k ?Give your answer as a fraction._______13.In the course of an experiment, 95 measurements were recorded, and all of the measurements were integers. The 95 measurements were then grouped into 7 measurement intervals. The graph above shows the frequency distribution of the 95 measurements by measurement interval.Quantity A Quantity BThe average (arithmetic The median of the 95mean) of the 95 measurementsMeasurements14.The random variable X is normally distributed. The values 650 and 850 are at the 60th and 90th percentiles of the distribution of X, respectively.Quantity A Quantity BThe value at the 75th750percentile of thedistribution of X15.If 1+x+x2+x3=60, then the average (arithmetic mean) of x, x2, x3, andx4 is equal to which of the following?A 12xB 15xC 20xD 30xE 60x16.Parallelogram OPQR lies in the xy-plane, as shown in the figure above. The coordinates of point P are (2, 4) and the coordinates of point Q are (8, 6).What are the coordinates of point R ?A (3, 2)B (3, 3)C (4, 4)D (5, 2)E (6, 2)17.Let S be the set of all positive integers n such that n2 is a multiple of both24 and 108. Which of the following integers are divisors of every integer nin S ?Indicate all such integers.A 12B 24C 36D 7218.The range of the heights of the female students in a certain class is 13.2 inches, and the range of the heights of the male students in the class is 15.4inches.Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the students in the class? Indicate all such statements.A The tallest male student in the class is 5.8 inches taller than the tallest female student in the class.B The median height of the male students in the class is 1.1 inches greater than the median height of the female students in the class.C The average (arithmetic mean) height of the male students in the class is 4.6 inches greater than the average height of the female students in the class.19.A random variable Y is normally distributed with a mean of 200 and a standarddeviation of 10.Quantity A Quantity BThe probability of the event 1/6that the value of Y isgreater than 22020.In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest possible number of students that could have taken bothalgebra and chemistry?__________students21.The total amount that Mary paid for a book was equal to the price of the book plusa sales tax that was 4 percent of the price of the book. Mary paid for the book with a $10 bill and received the correct change, which was less than $3.00. Which of the following statements must be true?Indicate all such statements.A The price of the book was less than $9.50.B The price of the book was greater than $6.90.C The sales tax was less than $0.45.22.Which of the following statements individually provide(s) sufficient additional information to determine the area of triangle ABC above? Indicate all such statements.A DBC is an equilateral triangle.B ABD is an isosceles triangle.C The length of BC is equal to the length of AD.D The length of BC is 10.E The length of AD is 1023.The fabric needed to make 3 curtains sells for $8.00 per yard and can be purchased only by the full yard. If the length of fabric required for eachcurtain is 1.6 yards and all of the fabric is purchased as a single length,what is the total cost of the fabric that needs to be purchased for the 3curtains?A $40.00B $38.40C $24.00D $16.00E $12.8024.The fabric needed to make 3 curtains sells for $8.00 per yard and can bepurchased only by the full yard. If the length of fabric required for each curtain is 1.6 yards and all of the fabric is purchased as a single length,what is the total cost of the fabric that needs to be purchased for the 3 curtains?A $40.00B $38.40C $24.00D $16.00E $12.8025.In the xy-plane, the point with coordinates (–6, –7) is the center of circle C. The point with coordinates (–6, 5) lies inside C, and the point with coordinates (8, –7) lies outside C. If m is the radius of C and m is an integer, what is the value of m ?m =_____26.What is the least positive integer that is not a factor of 25! and is not a prime number?A 26B 28C 36D 56E 5827If 1 is expressed as a terminating decimal, how many nonzero digits1/[(211)(517)]will the decimal have?A OneB TwoC FourD SixE Eleven28.Eight hundred insects were weighed, and the resulting measurements, in milligrams, are summarized in the boxplot below.(a) What are the range, the three quartiles, and the interquartile range of the measurements?(b) If the 80th percentile of the measurements is 130 milligrams, about how many measurements are between 126 milligrams and 130 milligrams?29.The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.Suppose the heights of a population of 3,000 adult penguins are approximately normally distributed with a mean of 65 centimeters and a standard deviation of 5 centimeters.(a) Approximately how many of the adult penguins are between 65 centimeters and 75 centimeters tall?(b) If an adult penguin is chosen at random from the population, approximately what is the probability that the penguin’s height will be less than 60 centimeters? Give your answer to the nearest 0.05机经题:8月5选11. 3个数的平均数是30,把这3个数翻倍之后也加在这个list中。
新Gre易错数学题即相关机经汇总

新Gre易错数学题即相关机经汇总易错题与机经汇总1. n个数从⼩到⼤排列,求(n-1)/4,设商为i,余数为j ,则可求得1st Quartile为:(第i+1个数)*(4-j)/4+(第i+2个数)*j/42. 4个*,2个·的排列⽅式15(=)3 .5双袜⼦,同时去2只,刚好配对的概率。
1/94. 40⼈说French,60⼈说Russian,80⼈说Italy,说两种语⾔的有50⼈,说三种语⾔的有10⼈。
共有125⼈,问不说这些语⾔的有⼏⼈。
Key:125-(40+60+80-50-10*2)=155 。
等腰直⾓三⾓形边长2加2倍根号2,求⾯积。
6. 某种溶液浓度为125gram per liter,转换成ounce per gallon,求表达式。
已知 1 ounce=28.xxx gram and 1 gallon=3.875 liter7. x,y,z 均⽅差为d,求x+10,y+10,z+10的均⽅差(d)8. 1的概率是0.8,2的概率是0,6,问是1或是2或是both的概率,1-0.6*0.8(数字瞎编)=0.92.9. 还有⼀组测量数据中,12.1⽐mean低1.5个标准差,17.5⽐mean⾼3.0个标准⽅差。
问mean是多少.13.9(设标准差为X12.1+1.5X=M,17.5-3X=M)10. 图表题,1992年总和是50,96年是60,每年⾄少增长1,问最⼤的年增长:7.011 .x+y=5&2x+2y=8之间最短距离与1⽐较《112. 以40miles/hour速度经过⼀1.5miles的路,若超速则罚款fine=50+(速度-40)*10,现⼀⼈⽤108秒通过此路,问她的fine=?key 15013. xyz togather finish the task for 9 hour,xy togather need 12 hour,z alone needs ?hour. key 3614. 直线l.在X轴截距是3,在Y轴截距是4。
2024年GRE考试数学历年题目全扫描

2024年GRE考试数学历年题目全扫描2024年GRE考试数学题目全扫描2024年的GRE考试即将到来,对于准备参加考试的同学们来说,熟悉历年的数学题目是非常重要的。
本文将为大家带来2024年GRE考试数学部分历年题目的详细分析与解答,帮助大家更好地准备考试。
第一部分:代数与函数题目一:已知函数f(x)满足f(x+3)=f(x)+9,且f(1)=7,求f(10)的值。
解析:根据题目条件,我们可以通过逐步迭代来求解。
首先计算f(4) =f(1+3) = f(1) + 9 = 7 + 9 = 16。
接着计算f(7) = f(4+3) = f(4) + 9 = 16 + 9 = 25。
最后计算f(10) = f(7+3) = f(7) + 9 = 25 + 9 = 34。
因此,f(10)的值为34。
题目二:已知函数f(x)满足f(2x) = 4f(x) - 1,且f(1) = 2,求f(8)的值。
解析:我们可以通过逐步迭代来解题。
首先计算f(2) = 4f(1) - 1 = 4*2 - 1 = 7。
接下来计算f(4) = 4f(2) - 1 = 4*7 - 1 = 27。
最后计算f(8) = 4f(4) - 1 = 4*27 - 1 = 107。
因此,f(8)的值为107。
第二部分:几何与概率题目三:在平面直角坐标系中,直线L1过点A(2, 5)且斜率为3,直线L2过点B(4, -1)且垂直于直线L1,求直线L2的方程。
解析:由直线L1的斜率3可知,直线L2的斜率为-1/3(直线L1和L2互为垂直的关系)。
通过点斜式得到直线L2的方程为y - (-1) = -1/3(x - 4)。
化简可得,y = -1/3x + 5/3。
题目四:设随机变量X服从正态分布N(3, 1),求P(X > 4)的值。
解析:根据正态分布性质,需要计算X > 4的概率。
首先计算标准化得分z = (4 - 3) / 1 = 1。
新GRE数学考试算术题试题及答案

新GRE数学考试算术题试题及答案新GRE数学考试算术题精选试题及答案1.A,B,C,D,E五个人的薪水的median是20000,range不超过50000,其中A,B,C的薪水分别是20000, 40000, 50000,问五个人薪水的平均值可能是多少?(A) 20000(B) 32000(C) 18000(D) 23000(E) 310002. 一个样本在一个标准方差内的概率是0.68,两个标准方差内的概率是0.95. 一样本,mean=18.6,标准方差是6,求:该样本在6.6-12.6内占多少?(A) 0(B) 0.68(C) 0.27(D) 0.36(E) 0.1353. 一组数平均值9,标准方差2,另外一组数平均值3,标准方差1,问第一组数在(5,11)中的数占总数的比例和第二组数在(1,4)中的数占总数的比例哪个大?4. 有100个人都对A,B两个人进行评价,每个人只有两种选择,即好或不好,说A不好的.有59个,说B不好的有65个,问:同时说AB都好的人数和35比较,哪个大?5. 两个集合: A=[-1,-2,-3,-4] B=[-2,3,4,5],问B的A次方有多大的概率是正数?(A) 0(B) 0.5(C) 0.625(D) 0.875(E) 0.135参考答案:1.解:median为20000,range为50000,则本题剩下两数的最小值为0,0,最大值为20000,2000,则平均值最小值为:(0+0+20000+40000+50000)/5 =22000。
平均最大值为:(20000+20000+20000+40000+50000)/5=30000。
所以五人薪水平均值应在 22000和30000之间。
2.解:本题应加入限制条件:应在正态分布中,否则无解。
Weight指平均值,6.6-12.6 指-2个方差与-1个方差之间的概率,所以算发为:(0.95-0.68)/2=0.1353.解:本题同上题,需在正态分布中讨论,(5,11)中的数是1.5个方差中的数,同样(1,4)中的数也是1.5个方差中的数,所以两组数占总数的比例一样大。
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Data Interpretation: Bar graph – Months (x-axis) Vs. Medians of money spent on buying houses (thousands of dollars) Mar - 120 April - 116 May - 121 Jun - 118 Jul - 123 Aug - 119 Sept - 122 Oct - 121 Nov - 117 Dec - 120
图表题里面给时代,给离婚率。给人数,算离婚多少人。。千分比 第一题是算19几几年的3.5到19几几年的5,这个增长率是多少 第二题是算比率乘以总数的类型。。。我选的120,000那个选项
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Course Number of students Sections
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French II 49 7???
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红色不确定,但不影响做题没Fra bibliotek一个人同时选修French I和French II,同时选修
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