题号 |
题目内容 |
平均正确率 |
操作 |
PS-6020qk |
A student’s average (arithmetic mean) test score on 4 tests is 78. What must be the student’s score on a 5th test for the student’s average score on the 5 tests to be 80? |
96% |
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DS-e21tkk |
If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is [math]p > 1/2[/math]?[br/]... |
53% |
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DS-5a1v8k |
Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y?[br/](1)y > 4[b... |
57% |
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DS-b51v9k |
For a recent play performance, the ticket prices were $25 per adult and $15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults?[br/](1)Rev... |
81% |
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PS-ab20rk |
From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected? |
76% |
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PS-9b231k |
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3... |
72% |
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PS-7a20tk |
[math]sqrt[2sqrt63 + 2/(8+3sqrt7)] =[/math] |
91% |
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PS-7c20uk |
The infinite sequence [math]a_1[/math], [math]a_2[/math],…, [math]a_n[/math],… is such that [math]a_1 = 2[/math], [math]a_2 = -3[/math], [math]a_3 = 5[/math], [math]a_4 = -1[/math], and [math]a_n =... |
93% |
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PS-5520vk |
If x and y are positive integers and 1 + x + y + xy = 15, what is the value of x + y? |
88% |
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DS-271vak |
If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?[br/](1)Beth saves $5 more per week than Ann saves per week.[br/](2)It takes An... |
95% |
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DS-641vbk |
If x is a positive integer, is the remainder 0 when [math]3^x + 1[/math] is divided by 10?[br/](1)x = 4n + 2, where n is a positive integer.[br/](2)x > 4 |
82% |
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DS-701vck |
If r, s, and w are positive numbers such that w = 60r + 80s and r + s = 1, is w < 70?[br/](1)r > 0.5[br/](2)r > s |
74% |
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DS-961vdk |
What is the value of the integer n?[br/](1)n(n + 2) = 15[br/](2)[math](n + 2)^n = 125[/math] |
67% |
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PS-09208k |
If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of ... |
73% |
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PS-d820wk |
Which of the following fractions has a decimal equivalent that is a terminating decimal? |
53% |
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PS-3a20xk |
For any integer k greater than 1, the symbol [math]k^※[/math] denotes the product of all the fractions of the form [math]1/t[/math], where t is an integer between 1 and k, inclusive. What is the va... |
75% |
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PS-2d20bk |
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, [math]2/3[/math] were basic and the rest were deluxe. If it takes [math]7/5[/math] as man... |
79% |
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PS-c720zk |
A certain machine produces 1,000 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 7 days? |
98% |
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PS-6f210k |
If [math]5^x - 5^(x - 3) = (124)(5^y)[/math], what is y in terms of x? |
87% |
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DS-bf1vek |
Lines k and m are parallel to each other. Is the slope of line k positive?[br/](1)Line k passes through the point (3, 2).[br/](2)Line m passes through the point (-3, 2). |
92% |
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DS-861vfk |
Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?[br/](1)During the show, there was an average (arithmetic mean) of 10 unoccupied seats per... |
70% |
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PS-df20dk |
The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects,... |
60% |
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DS-fb1vgk |
[img]0523.jpg[/img][br/]The figure above shows two entries, indicated by m and n, in an addition table. What is the value of n + m?[br/](1)d + y = -3[br/](2)e + z = 12 |
87% |
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PS-15212k |
On a map Town G is 10 centimeters due east of Town H and 8 centimeters due south of Town J. Which of the following is closest to the straight-line distance, in centimeters, between Town H and Town ... |
76% |
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PS-e22kak |
If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x =[math]2^i3^k5^m7^p[/math], then i + k + m + p = |
88% |
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DS-c01v2k |
In the xy-plane, the line with equation ax + by + c = 0, where [math]abc != 0[/math], has slope [math]2/3[/math]. What is the value of b?[br/](1)a = 4[br/](2)c = -6 |
93% |
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DS-ba1x6k |
The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?[br/](1)Each of the k employees who shared the cost of t... |
88% |
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PS-c22klk |
This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars av... |
55% |
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DS-302aek |
Leo can buy a certain computer for [math]P_1[/math] dollars in State A, where the sales tax is [math]t_1[/math] percent, or he can buy the same computer for [math]p_2[/math] dollars in State B, whe... |
73% |
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PS-ca214k |
If x < 0 and 0 < y < 1, which of the following has the greatest value? |
92% |
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PS-f41yzk |
Three printing presses, R, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can... |
94% |
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DS-8e1vik |
Is x an odd integer?[br/](1)x + 3 is an even integer.[br/](2)[math]x/3[/math] is an odd integer. |
86% |
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PS-3b215k |
The surface of a certain planet reflects 80 percent of the light that strikes it. The clouds around the planet then absorb 40 percent of the reflected light. What percent of the light that strikes ... |
87% |
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DS-e229nk |
The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?[br/](1)The markup on the television... |
85% |
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PS-45216k |
If [math](7x)/3 + a = 8[/math] and a > 8, then, in terms of a, [math](3x)/7 =[/math] |
84% |
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DS-e51vkk |
What is the sum of a certain pair of consecutive odd integers?[br/](1)At least one of the integers is negative.[br/](2)At least one of the integers is positive. |
67% |
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PS-6820pk |
If an automobile averaged 22.5 miles per gallon of gasoline, approximately how many kilometers per liter of gasoline did the automobile average? (1 mile = 1.6 kilometers and 1 gallon = 3.8 liters, ... |
86% |
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