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GRE数学综合练习视频讲解

信息来源:运维  发布时间:2016-04-28

  下面,小编为大家分享的是GRE数学综合练习视频讲解,帮助考生更加牢固掌握知识点。

  1. X, Y are both real numbers and X>Y, Y>Z

  A X+Y B Z

  解题时一定要注意思维陷阱,本题考察考虑问题的全面性,一定要多考虑特殊的情况,正数,负数,0,1。本题代入数字进行解答:X=1 Y=0 Z=-1,可以得出X+Y>Z;X=-2 Y=-3 Z=-4,可以得出X+Y

  2. Two successive discounts of 20 percent and 40 percent are equivalent to a single discount of X percent

  A X

  B 52

  题目的意思:连续打折两次,第一次是20%,第二次是40%,等于一次性打折多少。根据题目可以列一个等式为1*(1-20%)*(1-40%)=1*(1-x%) X=52,所以答案选C。

  3. Each people at the party shook hands exactly once with each of the other people at the party. There was a total of 21 handshakes exchanged at the party.

  A The number of people at the party

  B 8

  题目中的意思是:聚会中每两个人握一次手,一共握手21次,聚会有多少人。根据题意,可以列出一个等式,\得出X=7,所以选B。

  4. A The sum of the 3 greatest distinct integers that are less than 2

  B The sum of the 2 least distinct integers that are greater than -1

  题目中的意思是:A项:3个比2小的不同整数的最大值;B项:2个比-1大的不同整数的最小值。本题考查的是极值。根据下面的分析,可知A项比B项小,所以选B。
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  5. The market value of a certain machine decreased by 30 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?

  A $8,000 B $5,600 C $3,200 D $2,400 E $3,920

  题目的意思:某种机器每年贬值30%,如果这个机器在1982年以8000美元购入,两年后是多少钱。根据题意可以列出一个,8000-8000*30%*2=3200。

  6. Mr. Smith traveled a distance of 100 kilometers half the distance at 40 kilometers per hour and the other half at 80 kilometers per hour.

  A Mr. Smith’s average speed for the 100 kilometers traveled

  B 60 kilometers per hour

  题干的意思是:Smith行驶了100公里,前50公里是40k/per,后50公里是80k/per。所以S的平均速度是100/(50/40+50/80)=160/3,所以答案选B。

  7. b

  Column A a2-b2

  Column B (3a+3b)(2a-2b)
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  8. Which of the following equations can be used to find the value of x if 7 less than 5x is 5 more than the product of 3 and x

  A 5x-7=5+3x

  B 5x-7=5+(3+x)

  C 7-5x=5+3x

  D 5x-7=(5+3)x

  E 7-5x+5=3x

  题干的意思是:下面那个等式能够得出X的值如果7小于5x,比3和x的积大5。所以答案选A。

  9. If two trains are 120 miles apart and are traveling toward each other at a constant rate of 37mph and 43mph respectively, how far apart will they be exactly 1 hour before they meet?

  A 6 miles B 12 miles C 40 miles D 60 miles E 80 miles

  题目的意思:如果两辆火车相距120米,分别以37mph和43mph相向行驶,1小时后相距多远? 37+43=80。

  10. One integer will be randomly selected from the integers 11 to 60 inclusive. What is the probability that the selected integer will be a perfect square or a perfect cube?

  A 0.1

  B 0.125

  C 0.16

  D 0.5

  E 0.9

  题干的意思是:从11到60中包括11和60随意选取一个整数,那么这个整数是完全平方数或者完全立方数的概率是多少?完全平方数或者完全立方数有16,25,27,36,49,所以概率是5/50=0.1。

  11. The measures of two angles of a parallelogram differ by 52 degrees. The number of degrees in the smaller angle is

  A 38

  B 52

  C 64

  D 76

  E 128

  题目的意思是:平行四边形的两个角相差52度。平行四边形的两个角的和是180度。根据题意可以列出两个等式:X+Y=180,X-Y=52,Y=64。

  12. If a, b, c, and d are consecutive integers such that a

  A a+4

  B 2a+3

  C 3a+2

  D 3a+3

  E 3a+4

  题干的意思是a, b, c, d是连续的整数,且a

  以上就是小编为大家介绍的GRE数学综合练习视频讲解的全部内容,希望考生能够继续巩固练习,取得好成绩。

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