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。

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)

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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