题号 |
题目内容 |
平均正确率 |
操作 |
PS-051zik |
The population of City X is 50 percent of the population of City Y. The population of City X is what percent of the total population of City X and City Y? |
95% |
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PS-0b23ik |
What is the greatest prime factor of [math]2^100 - 2^96[/math] ? |
88% |
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DS-de1uek |
How many liters of apple juice were added to the cranberry juice in a certain container?[br/](1)The amount of apple juice that was added was [math]3/2[/math] the amount of cranberry juice in the co... |
96% |
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DS-9d1ufk |
In a demographic study, the population and total income of a certain region were estimated from other data, and both estimates had lower and upper limits. At the time of the estimates, was the per ... |
64% |
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DS-e71ugk |
Is [math]|x|< 1[/math]?[br/](1)[math]|x + 1| = 2|x - 1|[/math][br/](2)[math]|x - 3| ≠ 0[/math] |
70% |
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DS-5e1uhk |
A box contains 10 light bulbs, fewer than half of which are defective. Two bulbs are to be drawn simultaneously from the box. If n of the bulbs in box are defective, what is the value of n?[br/](1)... |
71% |
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PS-1d24jk |
There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible? |
91% |
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PS-f41zlk |
[img]0308.jpg[/img][br/]In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC? |
82% |
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PS-d91zmk |
If 5x = 2y and [math]xy != 0[/math], then x is what percent of y? |
98% |
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PS-0221sk |
Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of ... |
55% |
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DS-1c1uik |
The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96. What is the units digit of m?[br/](1)m is odd.[br/](2)The hundreds digit of m is 8. |
56% |
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DS-e91ujk |
Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q?[br/](1)The average annual salary of the employees in Division R is $3... |
90% |
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PS-d41zok |
The sequence [math]a_1[/math], [math]a_2[/math], [math]a_n[/math], such that [math]a_n = 2a_(n-1) - x[/math] for all positive integers n >= 2 and for certain number x. If [math]a_5 = 99[/math] and... |
90% |
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PS-da1zpk |
Box W and Box V each contain several blue sticks and red sticks, and all of the red sticks have the same length. The length of each red stick is 18 inches less than the average length of the sticks... |
83% |
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PS-872rhk |
If x ≠ 0, then [math](x+1/x)^2-(x- 1/x)^2 =[/math] |
92% |
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DS-791ukk |
If m, p, and t are positive integers and m < p < t, is the product mpt an even integer?[br/](1)t - p = p - m[br/](2)t - m = 16 |
72% |
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PS-a51zrk |
If a certain coin is flipped, the probability that the coin will land heads is [math]1/2[/math]. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 fl... |
89% |
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PS-b91zsk |
The function f is defined by [math]f(x)=sqrtx-10[/math] for all positive numbers x. If u = f(t) for some positive numbers t and u. What is t in terms of u? |
94% |
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PS-151ztk |
[img]0319.jpg[/img][br/]The graph of which of the following equations is a straight line that is parallel to line l in the figure above? |
76% |
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DS-f21ulk |
What is the total number of executives at Company P?[br/](1)The number of male executives is [math]3/5[/math] the number of female executives.[br/](2)There are 4 more female executives than male ex... |
96% |
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PS-8b1zuk |
The ratio of the number of boys to the number of girls in a certain school club is 3 : 4. If there are 5 more girls than boys in the club, how many girls are in the club? |
97% |
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DS-0c1umk |
[img]0322.jpg[/img] What is the volume of the cube above?[br/](1)The surface area of the cube is 600 square inches.[br/](2)The length of diagonal AB is [math]10sqrt3[/math] inches. |
87% |
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PS-641zvk |
If x and y are positive integers, and [math]x^3y^4=2000[/math], which of the following is the value of xy? |
93% |
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DS-dd1unk |
If ab = 1, what is the value of (axb)(ayb)?[br/](1)ax = by = 2[br/](2)2xy = 4 |
81% |
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PS-d11zwk |
Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January? |
87% |
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DS-fc1uok |
If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?[br/](1)x is a multiple of 9.[br/](2)y is a multiple of 25. |
76% |
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PS-d61zxk |
R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 20, 4, and 24, respectively. What is the length of line segment RU? |
88% |
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PS-3b1zyk |
Each of the 30 boxes in a certain shipment with either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes... |
66% |
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PS-801zzk |
The sum of all the integers k such that -26 < k < 24 is |
85% |
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PS-5c2rnk |
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 2 inches wide on each... |
80% |
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PS-75201k |
A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 200 feet. What is its area, in square feet? |
88% |
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DS-061upk |
Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders?[br/](1)The range of the seven remainders is 6.[br/](2)The seven ... |
52% |
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PS-85202k |
150, 200, 250, n. Which of the following could be the median of the 4 integers listed above?[br/]I.175[br/]II.215[br/]III.235 |
65% |
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PS-682rtk |
The operation Θ is defined by [math]xΘy=1/x+1/y[/math] for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true?[br/]I. zΘ(-z) = 0[br/]II.[math]zΘz/(z-1... |
81% |
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PS-e31zdk |
If [math]xy != 0[/math] and [math]x^2y^2 - xy = 6[/math], which of the following could be y in terms of x?[br/]I.[math]1/(2x)[/math][br/]II.[math]-2/x[/math][br/]III [math]3/x[/math] |
90% |
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DS-9d1uqk |
If a, b, c, and d are positive integers, is [math](a/b) (c/d) > c/b[/math]?[br/](1)c > b[br/](2)a > d |
78% |
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PS-172rvk |
In a meeting of 3 representatives from each of 6 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with peop... |
57% |
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