新GRE数学50道易错题汇总(机经类)

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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.

GRE数学易错题

1. l1, l2 and l3 are three lines in spaceThe number of points at The number of points at which lines l1 and l2 intersect which lines l2 and l3 intersect1。

三條任意直線，L1和L2的交點的個數與L2和L3的交點的個數沒關。

2. The number of 1/4-inch lengths in 1a 4-inch length2，是問4英尺中有多少個1/4英尺，應該是16個，所以是A3. The maximun number of solid cubes 4having edges of length 1/2 meter thatcan be placed inside a cubical boxhaving inside edges of length 1 meter3邊長為1的立方體裡最多能放下幾個邊長為1/2的立方體，當然是8個咯4. Cube C has volume 8 cubic centimetersThe area of one of the faces of cube C 3 square centimeters4立方體體積是8，那一個面的面積當然是4咯5. Ms.Smith got an 8 percent cost-of-living raise of $20 per weekMs.Smith's new weekly salary $2605 x*0.08=20，那x+20=270>2606. On a certain number live, if -7 is a distance of 4 from n and 7 is a distance of 18from n then n=A.25B.11C.3D.-3 E-116應該是-117. For all real numbers a and b. if a•b=a(a+b), then a•(a•b)=A. a2+ab B a2+ab+a C a2+a+b D a3+a2b E a3+a2b+a2注：a2表示a平方，a3表示a立方7新定義的運算a•b=a(a+b), 那a•(a•b)=a•(aa+ab)=a(a+aa+ab)=aa+aaa+aab8.secretary typed 6 letters,each of which had either 1 or 2 pages.If the secretary typed 10 pages in all, how many of the letters had 2 pages?A 1B 2C 3D 4E 5答案是D，題目我都看不懂，是啥意思呢？這是說秘書打六封信，沒一封信要1頁或者兩頁。

GRE考试中最易出错的数学题十题总结

GRE考试中最易出错的数学题十题总结
1. If N is positive number， the prime number of between N+1 and N+6 cannot be ：0，1，2，3，4，6
2 .一个班有52个人，平均分数是45，去掉2人的分数，平均是40，问这2人的平均分数是多少。

3. 一个cube total surface area 382 square ft，求所有边长(96)。

4. (x，y)与原点(0，0)距离和(1-x，1-y)到原点距离比较(好象不确定)
5. 00的integer， p^q和P^(-q)大小 (后大)
6. 一个公司的电话在3000-3799之间，问其中在3020-3039的概率是多少。

7. (-5)*(-7)*(-9)和(-5)+(-7)+(-9)大小比较(后者大，地球人都知道)
8 .一个三角形(有图，我画不出来)两个边长分别为3，4，二者夹角x(0
9. 4/7=(s+4)/(t+7) 比较s和4t/7(相同)
10. 一个圆与一个长方形三个边相内切，该长方形两个边分别为h，k (圆的直径为k)，长方形面积是圆面积4倍，问h/k，和PI那个大(相等)。

(完整word版)GRE考试105道数学易错难题

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）=0.929、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 together 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。

gre数学机经600题

gre数学机经600题
如果一个等腰三角形的两边长分别为5和8，那么这个等腰三角形的周长是多少？
A. 13
B. 16
C. 18
D. 21
一个正方形的面积是64，它的边长是多少？
A. 4
B. 8
C. 16
D. 32
一个数的5倍减去它的3倍等于10，这个数是多少？
A. 2
B. 5
C. 10
D. 15
一个圆的半径是6，它的面积是多少？
A. 12π
B. 36π
C. 72π
D. 144π
如果一个长方形的长是12，宽是8，那么它的面积是多少？
A. 16
B. 20
C. 96
D. 192
一个三角形的三边长分别为3，4，5，它的面积是多少？
A. 3
B. 6
C. 10
D. 12
一个数的平方是64，这个数是多少？
A. 4
B. 8
C. -4
D. ±8
一个圆的周长是20π，它的半径是多少？
A. 5
B. 10
C. 20
D. 40
请注意，这些题目只是模拟题，不代表真实的GRE数学考试题目。

实际考试中的题目可能会有更广泛的范围和难度。

新gre机经：数学部分

新gre机经：数学部分1. 类似the smallest integer that satisfies x^2>65和8的比较，或者是能不能被什么除尽的余数之类，都需要需要注意这个integer是positive还是negative还是两者皆可- 绝对值 x y之差和之积，一元二次方程绝对值求解- shaded area和cirle面积相比注意是谁比谁大圆小圆直径看清楚- 公约数(出了道A的鞋是B的鞋的1/3 C的鞋是B的鞋的两倍C<30 问C的可能性)- 概率倒是没有考多少很简单有一道5个数在数轴上 3个2负取三个数都正的概率- 五边形内角和考了一下- 三角形两边之和与两边之差与第三边的关系- 统计图形要特别注意图下的* 有一道题这个*正好是被计算器挡住了我怎么算都算不对阿。

后来检查的时候把计算器挪开才发现。

当时内心感叹nice trick。

题目是逐年income per capita和revenue per capita之间各种ratio 后来提到college education revenue per capita is 2 times the secondary and primary education revenue 然后算一个college education revenue 和同年income per capita的比较我就是没有看到图下说revenue per capita here include only primary and secondary education...2. 数学出了几道分布和标准差的3. 出现了那个一个数列，12乘以前一个数的平方=下一个数问第5个数是12的几次4. 如图，一个等腰直角三角形(大的那个)面积是r，内切一个正方形，问1(图中左边那个小的)部分的三角型面积，答案是2/9r。

5.数轴上5个点，2个负的3个正的，问随机选3个，全正的概率。

GRE机经易错题word文本

2.n >2Qua ntity AThe sta ndard deviati on of {2,2,2 ,n} Qua ntity BThe standard deviation of {2,n,n,n}?2-7<AB < 2, whatI.How many such nu mbers in 1-100 that whe n divided by 5 the rema in der is 3, and divided by 6 the rema in der is 2?A: 2B: 3C: 4D: 5E: 6A: Quantity A is greater.B: Quantity B is greater.C: The two quantities are equal.D: The relati on ship cannot be determ ined from the informatio n give n.3.What is the 57 digit to the right of the decimal point ofA: 2B: 8C: 5D: 7E: 1C D4.CD = 6, poi nt A lies on line CD, poi nt B is not on line CD, where 1 range of area of tria ngle BCD?A: 3B: 4C: 5 D: 6 E: 8s the value range of line AB?5.Triangle ABC has an acute angle C, AC=3, BC=4,whatA ： 1B : 2C : 3D : 4E : 5A man walks from point A to pointB on the recta ngular grids show n. He could only choose to walk north or east at any corner, what 's the probability of choosing a path via point C?,where a and b are both in tegers, what is the possible value of a+bA : 9B : 12C : 15D : 17E : 29F : 100G : 106H : 109 8. k is an odd in teger which is greater tha n 100, d is a divisor other tha n k itselfQua ntity A Qua ntity B6.7.k,how many pen cils weA : Quantity A is greater.B : Quantity B is greater.C : The two quantities are equal.D : The relati on ship cannot be determ ined from the in formatio ngive n.9. There are 30 pen cils in 5 differe nt colors, 6 pen cils in each color n eed to pick to guara ntee that every color has at least 2 pen cils?A : 24B : 25C : 26D : 27E : 2810.A 10-day long course, in the analysis of attendance for three students : A attended for8 days, B attended for 7 days, C attended for 6 days, among which only 1 day all of them atte nded. How many days at least two stude nts atte nded?A : 6B : 7C : 8D : 9E : 1011.S={1,2,3,4,6}, T={1,2,3,6,8}, pick one number from each set separately, how many differe nt possible product of the two selected nu mbers ?A : 10B : 11C : 12D : 13E : 1412.Randomly select a number from 1-1000, what is the probability that none of the digit would be 6 in this nu mber? A : 648 ToooB: 729T OGOC: 576 L000512D：1E: 13. Li ne l in tersected with two parallel lines m and n.Qua ntity A Qua ntity BNumber of points which is at equaldista nee to three lines 3A：Quantity A is greater .B: Quantity B is greater .C: The two quantities are equal.14.m,n are both in tegers, m is a factor of 2 , how many pairs of (m, n) thatD: The relati on ship cannot be determ ined from the in formatio n give n.A: ZeroB: OneC: ThreeD: FourE: Six15.S = {3 5 7 8 8 9 10 11 12}, T = {3 5 7 9 10 11 12}Qua ntity A Qua ntity BThe sta ndard deviati on of Set S The sta ndard deviati on of SetTA: Quantity A is greater .B: Quantity B is greater .C: The two quantities are equal.D: The relati on ship cannot be determ ined from the in formatio n give16.A four- digit number 7a6b, a, b are both integers, what 'the probability that this nu mber would bedivided by 4? _____________________17.The probability of A is 60% and the probability of B is 50%, what is the most possibleprobability that n either A nor B would happe n?A:0.80B:0.40C:0.75D:0.55E：0.68 18.If Bob can do a job in 20 days and Jane can do the job in 30 days, they work together to do this job and in this period, Bob stop work for 2.5 days and Jane stop work for x days, and the job be finished for 14 days, what is x?A 1.6B ：3.2C ：1.5D ：1.25E 1.1519.In an insurance company, each policy has a paper record and an electric record. For those policies having incorrect paper record, 60% also having incorrect electric record; For policies having incorrect electric record, 75% also having incorrect paper record.3% of all policies have both incorrect paper and incorrect electric records. If we randomly pick out one policy, what 'tshe probability that the one having both correct paper and correct electric records?A：0.80 B：0.94 C：0.75 D：0.88 E：0.9220.Two librarians, Robert and Patricia, cataloged a combined total of 180 new books, each of which was cataloged by only one of the two librarians. Although they spent the same amount of time cataloging their books, Robert spent an average of 15 minutes per book whereas Patricia spent an average of 12 minutes per book.Quantity A Quantity BThe number of books cataloged by Robert 60A：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.21.The unit price of commodity X is $21.94, for every order on commodity X, a tax of $20 would be imposed on the buyer . Some buyer has made n orders on commodity X, with the standard deviation of 5 on number of commodities in every order . What 's the standard deviation of the total price he/she paid for every order?A：5B：21.94。

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。

GRE机经易错题

1.How many such numbers in 1-100 that when divided by 5 the remainder is 3, and divided by 6 the remainder is 2?A：2B：3C：4D：5E：62.n＞2Quantity A Quantity BThe standard deviation of {2,2,2,n} The standard deviation of {2,n,n,n}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.3.What is the 57 digit to the right of the decimal point of ?A：2B：8C：5D：7E：14.CD = 6, point A lies on line CD, point B is not on line CD, where 1 ≤ AB < 2, what’s the range of area of triangle BCD?A：3B：4C：5D：6E：85.Triangle ABC has an acute angle C, AC=3, BC=4,what’s the value range of line AB?A：1B：2C：3D：4E：56.A man walks from point A to pointB on the rectangular grids shown. He could only choose to walk north or east at any corner, what’s the probability of choosing a path via point C? A：B：C：D：E：7.,where a and b are both integers, what is the possible value of a+b ?A：9B：12C：15D：17E：29F：100G：106H：1098.k is an odd integer which is greater than 100, d is a divisor other than k itself Quantity A Quantity BdA：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.9.There are 30 pencils in 5 different colors, 6 pencils in each color, how many pencils we need to pick to guarantee that every color has at least 2 pencils?A：24B：25C：26D：27E：2810.A 10-day long course, in the analysis of attendance for three students：A attended for 8 days, B attended for 7 days, C attended for 6 days, among which only 1 day all of them attended. How many days at least two students attended?A：6B：7C：8D：9E：1011.S={1,2,3,4,6}, T={1,2,3,6,8}, pick one number from each set separately, how manydifferent possible product of the two selected numbers ?A：10B：11C：12D：13E：1412.Randomly select a number from 1-1000, what is the probability that none of the digit would be 6 in this number?A：B：C：D：E：13.Line l intersected with two parallel lines m and n.Quantity A Quantity BNumber of points which is at equaldistance to three lines 3A：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.14.m,n are both integers, m is a factor of, how many pairs of (m, n) that ? A：ZeroB：OneC：ThreeD：FourE：Six15.S = {3 5 7 8 8 9 10 11 12}, T = {3 5 7 9 10 11 12}Quantity A Quantity BThe standard deviation of Set S The standard deviation of Set TA：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.16.A four-digit number 7a6b, a, b are both integers, what’s the probability that this number would be divided by 4? ________17.The probability of A is 60% and the probability of B is 50%, what is the most possible probability that neither A nor B would happen?A：0.80B：0.40C：0.75D：0.55E：0.6818.If Bob can do a job in 20 days and Jane can do the job in 30 days, they work together to do this job and in this period, Bob stop work for 2.5 days and Jane stop work for x days,and the job be finished for 14 days, what is x?A：1.6B：3.2C：1.5D：1.25E：1.1519.In an insurance company, each policy has a paper record and an electric record. For those policies having incorrect paper record, 60% also having incorrect electric record; For policies having incorrect electric record, 75% also having incorrect paper record.3% of all policies have both incorrect paper and incorrect electric records. If we randomly pick out one policy, what’s the probability that the one having both correct paper and correct electric records?A：0.80B：0.94C：0.75D：0.88E：0.9220.Two librarians, Robert and Patricia, cataloged a combined total of 180 new books, each of which was cataloged by only one of the two librarians. Although they spent the same amount of time cataloging their books, Robert spent an average of 15 minutes per book whereas Patricia spent an average of 12 minutes per book.Quantity A Quantity BThe number of books cataloged by Robert 60A：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.21.The unit price of commodity X is $21.94, for every order on commodity X, a tax of $20 would be imposed on the buyer. Some buyer has made n orders on commodity X, with the standard deviation of 5 on number of commodities in every order. What’s the standard deviation of the total price he/she paid for every order?A：5B：21.94C：43.88D：109.7E：2522.There is a 3*3 table, we need to fill it with three different numbers, A, B and C. There should not be two identical numbers in either each row or each column. How many different methods are available?A：6B：8C：10D：12E：1623. Hal has 4 girl friends and 5 boy friends. In how many different ways can Hal invite 2 girls and 2 boys to his birthday party?A.54B.60C.72D.120E.24024. An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?A.10B.12C.15D.24E.3025. Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive?A.10B.34C.39D.45E.5526. From a group of 8 people, it is possible to create exactly 56 different k-person committees. Which of the following could be the value of k ? Indicate all such values.A. 1B. 2C. 3D. 4E. 5F. 6G.727. How many 4-digit numbers begin with an even digit and end with an odd digit ？A 250B 500C 2,000D 2,500E 5,00028. How many positive integers can be expressed as a product of two or more of the prime numbers 5,7,11，and 13 if no one product is to include the same prime factor more than once ？A EightB nineC TenD ElevenE Twelve29. N equals the number of positive 3-digit numbers that contain odd digits only.Quantity ANQuantity B125A. 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.Quantity ANumber of different triangles possible using the given points as vertices.Quantity B42A. 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.31. What percent of the integers between 100 and 999，inclusive，have all three digits thesame ？A 1%B 2%C 3%D 4%E 5%32. Of the 20 lightbulbs in a box, 2 are defective. An inspector will select 2 lightbulbs simultaneously and at random from the box. What is the probability that neither of the lightbulbs selected will be defective?Give your answer as a fraction.33. For a certain probability experiment, the probability that event A will occur is 1/2 and the probability that event B will occur is 1/3. Which of the following values could be the probability that the event A∪B (that is, the event A or B, or both) will occur?Indicate all such values.A. 1/3B. 1/2C. 3/434. A and B are independent events, and the probability that both events occur is 1/2. Which of the following could be the probability that event A occurs?Indicate all such probabilities.A. 0B. 1/4C. 1/2D. 3/4E. 135. In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive) followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and AAA-70 are all acceptable plates. How many different license plates can the state issue?36. A positive integer is a palindrome if it reads exactly the same from right to left as it does from left to right. For example, 5 and 66 and 373 are all palindromes. How many palindromes are there between 1 and 1,000, inclusive?37. A box contains 10 balls numbered from 1 to 10 inclusive. If Ann removes a ball at random and replaces it, and then Jane removes a ball at random, what is the probability that both women removed the same ball?A. 1/100B. 1/90C. 1/45D. 1/10E. 41/4538. A: {71,73,79,83,87} B: {57,59,61,67}If one number is selected at random from set A, and one number is selected at random from set B, what is the probability that both numbers are prime?A. 9/20B. 3/5C. 3/4D. 4/5E. 139. A box at a yard sale contains 3 different china dinner sets, each consisting of 5 plates.A customer will randomly select 2 plates to check for defects. What is the probability that the 2 plates selected will be from the same dinner set?A. 2/7B. 2/5C. 2/3D. 5/6E. 3/240. If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?142/999142/900142/899128/900128/89941. The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers?A. 4B. 5C. 6D.7E.842. For a certain distribution, the measurement 12.1 is 1.5 standard deviations below the mean, and the measurement 17.5 is 3.0 standard deviations above the mean. What is the mean of the distribution?A. 13.8B. 13.9C.14.0D. 14.1E. 14.2。

新GRE官方整理机经

10.【比大小】col A :the least 5 integers with 4 different prime factors, each greater than 2. col B:1155. 选D 官方：机经说的是最小的5个整数和1155作比较，因为5个数字里一个等于1155，另外四个比1155大，所以没法比较。如果题干说的是the 5th least integer with blabla（第5小的整数），那么选A。如果题干说the least integer with blabla，选C。如果是题干别的意思，请仔细计算。 11.【算术题】What is the average of four tenths and five thousandths? 选0.2025 官方：(4/10+5/1000)/2 = 0.2025。 12 【算术题】The difference between a five-digit integer and its reflection must be divisible by which of the following? 答案:9 官方:设这个五位数是10000a+1000b+100c+10d+e, 它的reflection就是10000e+1000d+100c+10b+a, 两个数相减，等于9999a+990b-990d-9999e, 所以肯定能被9整除。 13 【算术题】x,y,z,是正数，2（x+y+z）除以7余1,在問（x+y+z)除以7余几答案是4 Twice the sum of three positive integers x,y,z when divided by 7 gives remainder 1 then what is the remainder when x+y+z is divided by 7? 官方：简单的做法代个数进去算算就可以了；标准做法是把括号里的看做一个整体X，穷举X mod 7分别等于 0到6的时候，2X mod 7等于多少，然后把等于1的那些挑出来。mod表示求余函数。 14 【算术题】一个管子半径是2feet，高是8feet，问500个管子的体积是多少？答案是16000pi 官方：圆柱体体积公式：底面积×高＝pi*r^2*h, pi*2^2*8*500=16000pi 15 【算术题】一個压土机的轮子直径是2，長是8；转500圈能压多少面积的土?答案是8000pi 官方：求表面积公式：底面周长×高＝pi*d*h, pi*2*8*500=8000pi A road roller which levels a surface has height as 16 and diameter as 2, then if it revolves for around 500 revolutions. What is the area of the land that it covers in 500 revolutions? 答案：16000pi A road roller makes a surface level flat which has a height of 18 and diameter 6, and it revolves for 300 revolutions. Find the area of the land covered in 300 revolutions? 答案：32400pi 出现多次变体，计算时请注意。 16 【算术题】Courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.55 ? 答案选B A 1155 B 1145 C 1040 D 950 E 259 官方:(1.55-0.65)/0.1=900grams, 900+250=1150grams, 因为最多是1150grams,所以选B.如果再少就用不了这么多钱,就是在1150到1050之间才是$1.55. 17 【算术题】五十个算术平均值是x，五十个数中，有一数是18.x，若这个数从18.x变为28.x时，其算术平均值变化多少？答案是0.2 Mean of 50 numbers given to be 19.5, and when a number 18.5 from those numbers is replaced by is replaced by 28.5, then what is the difference between the new mean and the old mean? 官方：一个数从18.x变成28.x，说明这50个数的总数增加了10，那他的算术平均值变化就是10/50=0.2 18 【比大小】xy坐标系从原点（0,0)经过（x,11/10x)的直线的angle与45度比大小答案选 A

GRE机经易错题word文本

GRE机经易错题优选稿

G R E机经易错题集团文件版本号：（M928-T898-M248-WU2669-I2896-DQ586-M1988）1.How many such numbers in 1-100 that when divided by 5 the remainder is 3, and divided by 6 the remainder is 2A：2B：3C：4D：5E：62.n＞2Quantity A Quantity BThe standard deviation of {2,2,2,n} The standard deviation of {2,n,n,n}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.3.What is the 57 digit to the right of the decimal point of 27 A：2B：8C：5D：7E：14.CD = 6, point A lies on line CD, point B is not on line CD, where 1 ≤ AB < 2, what’s the range of area of triangle BCDA：3B：4C：5D：6E：85.Triangle ABC has an acute angle C, AC=3, BC=4,what’s thevalue range of line ABA：1B：2C：3D：4E：56.A man walks from point A to pointB on the rectangular grids shown. He could only choose to walk north or east at any corner, what’s the probability of choosing a path via point CA：35132B：37132C：13D：712E：5127.a√b=√108,where a and b are both integers, what is the possible value of a+bA：9B：12C：15D：17E：29F：100G：106H：1098.k is an odd integer which is greater than 100, d is a divisor other than k itselfQuantity A Quantity Bkd2A：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.9.There are 30 pencils in 5 different colors, 6 pencils in each color, how many pencils we need to pick to guarantee that every color has at least 2 pencilsA：24B：25C：26D：27E：2810.A 10-day long course, in the analysis of attendance for three students：A attended for 8 days, B attended for 7 days, C attended for 6 days, among which only 1 day all of them attended. How many days at least two students attendedA：6B：7C：8D：9E：1011.S={1,2,3,4,6}, T={1,2,3,6,8}, pick one number from each set separately, how many different possible product of the two selected numbersA：10B：11C：12D：13E：1412.Randomly select a number from 1-1000, what is theprobability that none of the digit would be 6 in this numberA：6481000B：7291000C：5761000D：512999E：64899913.Line l intersected with two parallel lines m and n.Quantity A Quantity BNumber of points which is at equaldistance to three lines3A：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.14.m,n are both integers, m is a factor of26, how many pairs of(m, n) that 3n=26mA：ZeroB：OneC：ThreeD：FourE：Six15.S = {3 5 7 8 8 9 10 11 12}, T = {3 5 7 9 10 11 12}Quantity A Quantity BThe standard deviation of Set S The standard deviation of Set 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.16.A four-digit number 7a6b, a, b are both integers, what’s the probability that this number would be divided by 4 ________ 17.The probability of A is 60% and the probability of B is 50%, what is the most possible probability that neither A nor B would happenA：0.80B：0.40C：0.75D：0.55E：0.6818.If Bob can do a job in 20 days and Jane can do the job in 30 days, they work together to do this job and in this period, Bob stop work for 2.5 days and Jane stop work for x days, and the job be finished for 14 days, what is xA：1.6B：3.2C：1.5D：1.25E：1.1519.In an insurance company, each policy has a paper record and an electric record. For those policies having incorrect paper record, 60% also having incorrect electric record; For policies having incorrect electric record, 75% also having incorrect paper record.3% of all policies have both incorrect paper and incorrect electric records. If we randomly pick out one policy, what’s the probability that the one having both correct paper and correct electric recordsA：0.80B：0.94C：0.75D：0.88E：0.9220.Two librarians, Robert and Patricia, cataloged a combined total of 180 new books, each of which was cataloged by only one of the two librarians. Although they spent the same amount of time cataloging their books, Robert spent an average of 15 minutes per book whereas Patricia spent an average of 12 minutes per book.Quantity A Quantity BThe number of books cataloged by Robert60A：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.21.The unit price of commodity X is $21.94, for every order on commodity X, a tax of $20 would be imposed on the buyer. Some buyer has made n orders on commodity X, with the standard deviation of 5 on number of commodities in every order. What’s the standard deviation of the total price he/she paid for every orderA：5B：21.94C：43.88D：109.7E：2522.There is a 3*3 table, we need to fill it with three different numbers, A, B and C. There should not be two identical numbers in either each row or each column. How many different methods are availableA：6B：8C：10D：12E：1623. Hal has 4 girl friends and 5 boy friends. In how many different ways can Hal invite 2 girls and 2 boys to his birthday partyA.54B.60C.72D.120E.24024. An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employeeA.10B.12C.15D.24E.3025. Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receiveA.10B.34C.39D.45E.5526. From a group of 8 people, it is possible to create exactly 56 different k-person committees. Which of the following could be the value of kIndicate all such values.A.1B.2C.3D.4E.5F.6G.727. How many 4-digit numbers begin with an even digit and end with an odd digitA 250B 500C 2,000D 2,500E 5,00028. How many positive integers can be expressed as a product of two or more of the prime numbers 5,7,11，and 13 if no one product is to include the same prime factor more than onceA EightB nineC TenD ElevenE Twelve29. N equals the number of positive 3-digit numbers that contain odd digits only.Quantity ANQuantity B125A. 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.Quantity ANumber of different triangles possible using the given points as vertices.Quantity B42A. 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.31. What percent of the integers between 100 and 999，inclusive，have all three digits the sameA 1%B 2%C 3%D 4%E 5%32. Of the 20 lightbulbs in a box, 2 are defective. An inspector will select 2 lightbulbs simultaneously and at random from the box. What is the probability that neither of the lightbulbs selected will be defectiveGive your answer as a fraction.33. For a certain probability experiment, the probability that event A will occur is 1/2 and the probability that event B will occur is 1/3. Which of the following values could be the probability that the event A∪B (that is, the event A or B, or both) will occurIndicate all such values.A. 1/3B. 1/2C. 3/434. A and B are independent events, and the probability that both events occur is 1/2. Which of the following could be the probability that event A occursIndicate all such probabilities.A. 0B. 1/4C. 1/2D. 3/4E. 135. In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive) followed by twoletters or three letters followed by two digits. For example, 055-XY, 123-PP, and AAA-70 are all acceptable plates. How many different license plates can the state issue36. A positive integer is a palindrome if it reads exactly the same from right to left as it does from left to right. For example, 5 and 66 and 373 are all palindromes. How many palindromes are there between 1 and 1,000, inclusive37. A box contains 10 balls numbered from 1 to 10 inclusive. If Ann removes a ball at random and replaces it, and then Jane removes a ball at random, what is the probability that both women removed the same ballA. 1/100B. 1/90C. 1/45D. 1/10E. 41/4538. A: {71,73,79,83,87} B: {57,59,61,67}If one number is selected at random from set A, and one numberis selected at random from set B, what is the probability that both numbers are primeA. 9/20B. 3/5C. 3/4D. 4/5E. 139. A box at a yard sale contains 3 different china dinner sets, each consisting of 5 plates. A customer will randomly select 2 plates to check for defects. What is the probability that the 2 plates selected will be from the same dinner setA. 2/7B. 2/5C. 2/3D. 5/640. If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7142/999142/900142/899128/900128/89941. The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integersA.4B.5C.6D.7E.842. For a certain distribution, the measurement 12.1 is 1.5 standard deviations below the mean, and the measurement 17.5 is 3.0 standard deviations above the mean. What is the mean of the distributionA. 13.8C.14.0D. 14.1E. 14.2。

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1
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/4
2. 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。

1/9
4. 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)=15 5 .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 liter
7. 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X 12.1+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:7.0 11 .x+y=5&2x+2y=8之间最短距离与1比较 <1
12. 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 150
13. xyz togather finish the task for 9 hour, xy togather need 12 hour,z alone needs ? hour. key 36
14. 直线l.在X 轴截距是3，在Y 轴截距是4。

直线m.在X 轴截距是4，在X 轴截距是3。

比两个直线的sloop. 注意都为负 m>l
15.从一堆6个什么东东(blesket?不认识的单词)里取4个共会有15种不同的可能，
如果从8个里面取4个会比从6个里面取多多少种可能?我选的是55.这题有点怪，不知为
什么它还要把15说出来。

难道是我理解有误?
16 .一个表3分钟慢一秒钟，问慢3分钟要过多少分种?540分钟
17. 3/0.0001 与3/0.000099 比大小
18.在一个图表题里考到了median。

这题比较不好做，还是罗马数字题。

是有关选民
选举的比例，两块饼饼统计图，一饼是参选人x,y的支持率，另一块是选民们的收入income (?)。

从图中收入少于3000的选民有58% ，所以说选民收入median在收入少于3000
的里面。

19.有一题问下面这个数里能找出的最2的最大次方的factor 是多
少?(2^5)(12^10)(18^6)，指数可能不是这个了，不过意思是这个意思。

20. 1-10中选出两个数，可重复，问是都是偶数的概率。

3/4
21.只有一道难题(50+50*X%)(80+80*X%)-50*80=5400,求X
22. a组{8,9,10,11,12}.b组{25,26,27,28}问各抽出一个两个数相加结果几种情况8
23.一个两位数n，十位数是U，个位数是5，有一表达是E=(n^2-25)/100,用U表
达E。

KEY：知道n=10*U+5，其他就easy了。

24. 三个R=1的圆两两相切，三个切点A，B，C(有图示)，问三段优弧(长的那段，图
中为黑体)AB，BC，AB之和
25.一四边形4，5，12，x (顺势针) 问x 的取值范围。

3
26. 1 从小于100的正整数里取出两个a和b，比较a和b都是偶数的概率和a+b是
2
偶数的概率那个大?不用算了，a+b是偶数的时候a和b可以都是奇数，所以后者大。

3
27 .M 和R 是围成一个圈的n 个人中的2个，从这些人中抽一个中奖，问R 恰好在M 右边的概率和R 中奖的概率比大小(1/n-1,1/n)
28. 某物原价20$，现降价30%，在此基础上再降价20%，问现价. 20*0.7*0.8=11.2
29. 有问连续掷6次硬币，其number of outcome 和18进行比较
30 .告诉一个cube 的表面积，求周长
31. 一个三角形，三条直线的坐标给出，问角度，最后算出是一个直角三角形
32. 给你一个边长为3的三角形，让你比较与其他几个图形的面积哪一个相等。

33. 4位密码，3个x 一个k, 可能组成密码的个数与 3位p,e,s 可能组成密码的个数比较。

小于
34. 从4个蓝球2个红球中抽两个，第二个是红色的概率：蓝红+红红
=(4/6)(2/5)+(2/6)(1/5)=1/3
35. N>4,比较N~2-6N+8与N~2-6N+9 小于
36. P1，P2，P3，。

P1=1.P(n)=24P(n-1)+8.比较P(66)/6 与4 的大小。

解法：P(n)=24P(n-1)+8化为Pn+8/23=24[P(n-1)+8/23]，令An=Pn+8/23，则化为等比数列An=24A(n-1)
37. (5/24)^(1/2)*5 和 (5+5/24)^(1/2)比较大小，相等
38. 5*10^9square feet 的shopping area 换成正方形，边长是多少miles?已知1mile=5280feet
39 .三个半径为10的圆相切,问切点以外的部分的周长和50pie 的比较,答案相等
40. x^2+y^2<=100的整数对是多少?请指教 317
41. If N is positive number, the prime number of between N+1 and N+6 cannot be :0,1,2,3,4,6 . 0
42 .一个班有52个人，平均分数是45，去掉2人的分数，平均是40，问这2人的平
均分数是多少。

43.一个cube total surface area 382 square ft,求所有边长(96)。

44. (x,y)与原点(0，0)距离和(1-x,1-y)到原点距离比较(好象不确定)
45. 00的integer, p^q和P^(-q)大小(后大)
46.一个公司的电话在3000-3799之间,问其中在3020-3039的概率是多少.(2.5%,注
意非前几日类似机警的1/80，那位老兄的题目是问在一个公司的电话在3000-3799之间,
问其中在3020-3029的概率是多少)
47. (-5)*(-7)*(-9)和(-5)+(-7)+(-9)大小比较(后者大，地球人都知道)
48 .一个三角形(有图，我画不出来)两个边长分别为3，4，二者夹角x(0
49. 4/7=(s+4)/(t+7) 比较s和4t/7(相同)
50.一个圆与一个长方形三个边相内切，该长方形两个边分别为h,k (圆的直径为k),长
方形面积是圆面积4倍，问h/k,和PI那个大(相等)
4。

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