2024年新GRE數學模擬試題（二）
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查看匯總：2024年新GRE數學模擬試題匯總
1. A,B,C,D,E,F排在1,2,3,4,5,6六個位置上,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A(5,0), B(0,2), 坐標原點為O, 點P(X,Y)為三角形OAB中一點, 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%
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，中重復計算了三者交集，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計算了ABC在1，2，3的情況，所以應減去P33
2.解：在平面直角坐標系中，T
3.解：設總數為x，設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，兩者至少有一個錯誤的百分比為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均不發生的最大概率為40%，最小概率為0.
6.解：A和B的并集為：54%+48%-30%=72%，所C為28%.
考試吧為您整理了“2024年新GRE數學模擬試題（二）”，更多關于GRE考試模擬試題相關內容，請訪問考試吧GRE考試網。
查看匯總：2024年新GRE數學模擬試題匯總
1. A,B,C,D,E,F排在1,2,3,4,5,6六個位置上,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A(5,0), B(0,2), 坐標原點為O, 點P(X,Y)為三角形OAB中一點, 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%
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，中重復計算了三者交集，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計算了ABC在1，2，3的情況，所以應減去P33
2.解：在平面直角坐標系中，T
3.解：設總數為x，設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，兩者至少有一個錯誤的百分比為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均不發生的最大概率為40%，最小概率為0.
6.解：A和B的并集為：54%+48%-30%=72%，所C為28%.
