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-8d1x4k |
[img]1102.jpg[/img][br/]In the figure, points A, B, C, D, and E lie on a line. A is on both circles, B is the center of the smaller circle, C is the center of the larger circle, D is on the smaller... |
63% |
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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-be232k |
If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?[br/]I.[math]1/8[/math][br/]II.[math]1/9[/math][br/]III. [math]1/1... |
71% |
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DS-ad1tlk |
If [math]vmt ≠ 0[/math], is [math]v^2m^3t^4 > 0[/math]?[br/](1)[math]m > v^2[/math][br/](2)[math]m > t^4[/math] |
92% |
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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-28234k |
If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be |
86% |
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PS-57235k |
An equilateral triangle that has an area of [math]9sqrt3[/math]is inscribed in a circle. What is the area of the circle? |
72% |
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DS-341x5k |
If x and z are integers, is at least one of them even?[br/](1)x + z is odd.[br/](2)x - z is odd. |
86% |
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PS-01236k |
A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly. Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of ... |
60% |
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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-53237k |
A certain liquid leaks out of a container at the rate of k liters for every x hours. If the liquid costs $6 per liter, what is the cost, in dollars, of the amount of the liquid that will leak out i... |
88% |
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PS-ac238k |
Which of the following is equal to [math](2^12-2^6)/(2^6-2^3)[/math]? |
86% |
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PS-55239k |
A company has assigned a distinct 3-digit code number to each of its 330 employees. Each code number was formed from the digits 2, 3, 4, 5, 6, 7, 8, 9 and no digit appears more than once in any one... |
84% |
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DS-f21x7k |
If [math]s^4v^3x^7< 0[/math], is svx<0?[br/](1)v<0[br/](2)V>0 |
84% |
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DS-881x8k |
Is |v-x|<8[br/](1)v and x are integers.[br/](2)|v|= 4 and |x|= 6 |
95% |
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PS-ce23ak |
A certain list consists of 21 different numbers. If n is in the list and n is 4 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21... |
84% |
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DS-ac1x9k |
If wz < 2, is z < 1?[br/](1)w > 2[br/](2)z < 2 |
93% |
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PS-2d23bk |
In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is ... |
65% |
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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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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-7f1xak |
[img]1122.jpg[/img][br/]Lines m and n intersect, as shown in the figure above. What is the value of u - w?[br/](1)u = 90[br/](2)Lines m and n are perpendicular. |
93% |
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PS-3224ck |
If the volume of a small container is 14,520 cubic millimeters, what is the volume of the container in cubic centimeters? (1 millimeter = 0.1 centimeter) |
89% |
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DS-341xbk |
From Leland’s gross pay of p dollars last week, t percent was deducted for taxes and then s dollars was deducted for savings. What amount of Leland’s gross pay last week remained after these two de... |
79% |
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PS-211yxk |
If the sequence [math]x_1[/math], [math]x_2[/math], [math]x_3[/math], …, [math]x_n[/math], … is such that [math]x_1 = 3[/math] and [math]x_(n+1) = 2x_n - 1[/math] for n ≥ 1, then [math]x_20 - x_19[... |
79% |
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DS-351xck |
What is the greatest common factor of the positive integers j and k?[br/](1)k = j + 1[br/](2)jk is divisible by 5. |
67% |
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DS-cf2spk |
Is |x|+|x-1|=1?[br/](1) x ≥ 0[br/](2) x ≤ 1 |
82% |
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PS-d623dk |
In 1994, Kenneth’s annual salary was 30 percent higher than it was in 1993. In 1995, Kenneth’s annual salary was reduced to 104 percent of his 1993 annual salary. Kenneth’s 1995 annual salary was w... |
75% |
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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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DS-9d1xek |
If all of the employees of Company K who worked there last January are still there, how many employees does Company K have now?[br/](1)Last January the ratio of the number of male employees to the ... |
93% |
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PS-f324ak |
In the xy-plane, the vertices of a triangle have coordinates (0, 0), (3, 3), and (7, 0). What is the perimeter of the triangle? |
95% |
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DS-b11xfk |
If n is a positive integer, what is the value of the hundreds digit of [math]30^n[/math]?[br/](1)[math]30^n > 1,000[/math][br/](2)n is a multiple of 3. |
69% |
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PS-4b23fk |
A store’s selling price of $2,240 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. What selling price would yield a profit of 50 percent of the comput... |
86% |
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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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DS-ce1xgk |
On Monday a store had a sale on bottles of juice S and juice T. If [math]1/2[/math] the total number of bottles of juice S in stock were sold on Monday, for which juice, S or T, were more of the bo... |
92% |
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PS-fb1yvk |
The age of the Earth is approximately [math]1.3*10^17[/math] seconds, and one year is approximately [math]3.2*10^7[/math] seconds. Which of the following is closest to the age of the Earth in years? |
91% |
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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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