近期的新GRE考試中,難度有所提升,考生不易徘徊糾結(jié),多多練習(xí)真題及模擬測(cè)試即可,按照正常的復(fù)習(xí)方法,在加緊步驟,高分也是不難的,以下由美嘉導(dǎo)師為大家整理的關(guān)于新GRE數(shù)學(xué)通關(guān)練習(xí)題(一),希望對(duì)您的復(fù)習(xí)有所幫助:
1.A,B,C,D,E,F排在1,2,3,4,5,6六個(gè)位置上,問A不在1, B不在2, C不在3的情況下,共有多少種排法?
(A) 720
(B) 450
(C) 180
(D) 216
(E) 320
2.一直線L過點(diǎn)A(5,0), B(0,2), 坐標(biāo)原點(diǎn)為O, 點(diǎn)P(X,Y)為三角形OAB中一點(diǎn), 問:Y
(A) 1/4
(B) 3/8
(C) 1/2
(D) 5/8
(E) 3/4
3.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) 0.80
(B) 0.94
(C) 0.75
(D) 0.88
(E) 0.92
4.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) 1.6
(B) 3.2
(C) 1.5
(D) 1.25
(E) 1.15
5.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) 0.80
(B) 0.40
(C) 0.75
(D) 0.55
(E) 0.68
6.There are 1200 respondents to a poll, each favoring their preference for candidates A,B, and C.54% favored A, 48% favored B, and 42% favored C, and there is 30% favored both A and B.what’s the largest possible number of respondents favoring C, but not C&B, nor C&A?
(A) 25%
(B) 30%
(C) 28%
(D) 38%
(E) 40%
美嘉導(dǎo)師提示:參考答案-
1.解:首先考慮總的可能性為,再考慮A在1,B在2,C在3的可能性分別為,中重復(fù)計(jì)算了三者交集,分別為AB在1,2,AC在1,3,BC在2,3,所需將三種情況加回,即,但考慮這三種加回的交集又重復(fù)計(jì)算了ABC在1,2,3的情況,所以應(yīng)減去P33
2.解:在平面直角坐標(biāo)系中,T
3.解:設(shè)總數(shù)為x,設(shè)incorrect paper record有y, incorrect electric record有z,則:
x·y·60%=3%·x y=5%
x·z·75%=3%·x z=4%
則,兩者至少有一個(gè)錯(cuò)誤的百分比為5%+4%-3%=6%,所正確答案為94%
4.解:1/20(14-2.5)+1/30(14-x)=1,得出x=1.25
5.解:劃出圖表來可以一目了然:A, B均不發(fā)生的大概率為40%,小概率為0.
6.解:A和B的并集為:54%+48%-30%=72%,所C為28%.
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