| 题号 |
题目内容 |
平均正确率 |
操作 |
PS-7e206k |
A wire that weighs 24 kilograms is cut into two pieces so that one of the pieces weighs 16 kilograms and is 34 meters long. If the weight of each piece is proportional to its length, how many meter... |
97% |
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DS-601urk |
If a certain machine produces bolts at a constant rate, how many seconds will it take the machine to produce 300 bolts?[br/](1)It takes the machine 56 seconds to produce 40 bolts.[br/](2)It takes t... |
98% |
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DS-711usk |
If k, m, and p are integers, is k - m - p odd?[br/](1)k and m are even and p is odd.[br/](2)k, m, and p are consecutive integers. |
83% |
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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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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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DS-d41utk |
If two copying machines work simultaneously at their respective constant rates, how many copies do they produce in 5 minutes?[br/](1)One of the machines produces copies at the constant rate of 250 ... |
68% |
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DS-f31uuk |
Is [math]xy ＞ x^2y^2[/math]?[br/](1)[math]14x^2 = 3[/math][br/](2)[math]y^2 = 1[/math] |
74% |
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PS-b1209k |
[img]0408.jpg[/img][br/]For the cube shown above, what is the degree measure of ∠PQR? |
87% |
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PS-0920ak |
If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8? |
42% |
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DS-1c1uvk |
A total of $60,000 was invested for one year. Part of this amount earned simple annual interest at the rate of x percent per year, and the rest earned simple annual interest at the rate of y percen... |
69% |
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DS-6a1uwk |
If n and k are positive integers, is n divisible by 6?[br/](1)n = k(k + 1)(k - 1)[br/](2)k - 1 is a multiple of 3. |
61% |
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DS-571uxk |
What was the cost of a certain telephone call?[br/](1)The call lasted 8 minutes.[br/](2)The cost of the first minute of the call was $0.32, which was twice the cost of each minute of the call after... |
97% |
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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-c620ck |
[math]99,999^2 - 1^2 =[/math] |
84% |
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DS-b31uyk |
Is [math]x^2 + y^2 ＞ 6[/math]?[br/](1)[math](x + y)^2 ＞ 6[/math][br/](2)xy = 2 |
67% |
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DS-cb1uzk |
What is the probability that a student randomly selected from a class of 60 students will be a male who has brown hair?[br/](1)One-half of the students have brown hair.[br/](2)One-third of the stud... |
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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PS-0e20ek |
Which of the following is equal to [math](2^k)(5^(k-1))[/math]? |
88% |
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PS-6520fk |
If [math]sqrtx = 25[/math], then [math]x^3 - x^2 =[/math] |
94% |
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DS-7f1v0k |
[img]0420.jpg[/img][br/]In the parallelogram shown, what is the value of x?[br/](1)y = 2x[br/](2)x + z = 120 |
88% |
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PS-bf20gk |
[img]0421.jpg[/img][br/]Note: Figure not drawn to scale.
On line segment AD shown, AB = [math]1/2[/math]CD and BC = 10. If AD = 100, then CD = |
98% |
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PS-3b20hk |
At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of t... |
85% |
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DS-ff1v1k |
If [math]x ≠ 0[/math], is [math]x^2/|x| ＜ 1[/math]?[br/](1)x ＜ 1[br/](2)x ＞ -1 |
74% |
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PS-f920ik |
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s - 1). An ... |
96% |
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PS-2720jk |
In the sequence 1, 2, 4, 8, 16, 32, …, each term after the first is twice the previous term. What is the sum of the 16th, 17th, and 18th terms in the sequence? |
85% |
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DS-b12aak |
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 |
92% |
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DS-fc1v3k |
Of the cans of peaches inspected yesterday at a certain plant, 1.5 percent failed to pass inspection. Of the cans that failed inspection, [math]5/6[/math] were incorrectly labeled and the rest were... |
91% |
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PS-c220kk |
A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, i... |
67% |
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DS-0f1v4k |
The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998. Was the annual rent collected by the corporation ... |
53% |
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PS-ec20lk |
[img]0430.jpg[/img][br/]In the figure above, O is the center of the circle. If the area of the shaded region is 2π, what is the value of x? |
90% |
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PS-bf20mk |
The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x ＜ y, which of the following must be tr... |
75% |
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DS-3f1v5k |
If m and v are integers, what is the value of m + v?[br/](1)mv = 6[br/](2)[math](m + v)^2 = 25[/math] |
76% |
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PS-df20nk |
A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of student... |
89% |
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DS-e51v6k |
The number n of units of its product that Company X is scheduled to produce in month t of its next fiscal year is given by the formula [math]n = (900)/(1+c2^(-t))[/math], where c is a constant and ... |
85% |
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PS-1820ok |
The operation Δ is defined for all nonzero x and y by [math]x Δ y = x + x/y[/math]. If a ＞ o, then 1 Δ (1 Δ a) = |
92% |
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DS-5b1v7k |
If n is an integer and 100 ＜ n ＜200, what is the value of n?[br/](1)[math]n/36[/math]is an odd integer.[br/](2)[math]n/45[/math]is an even integer. |
62% |
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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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GWD模考测试题08
