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300难题
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The letters C, I, R, C, L, and E can be used to form 6-letter strings such as CIRCLE or CCIRLE. Using these letters, how many different 6-letter strings can be formed in which the two occurrences of the letter C are separated by at least one other letter?
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300难题
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In the figure above, X and Y represent locations in a district of a certain city where the streets form a rectangular grid. In traveling only north or east along the streets from X to Y, how many different paths are possible?
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300难题
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Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10 ?
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300难题
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A merchant paid $300 for a shipment of x identical calculators. The merchant used two of the calculators as demonstrators and sold each of the others for $5 more than the average (arithmetic mean) cost of the x calculators. If the total revenue from the sale of the calculators was $ 120 more than the cost of the shipment, how many calculators were in the shipment?
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300难题
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If N = $$\frac{K}{T+ \frac{x}{y}}$$ ,Where T= $$\frac{K}{5}$$ and X=5- T,which of the following expresses y in terms of N and T?
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300难题
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If 2x+5y = 8 and 3x = 2y, what is the value of 2x + y ?
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300难题
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If k$$S_n$$ is defined to be the product of (n + k)(n - k + 1) for all positive integers k and n,which of the following expressions represents k+1$$S_{n+1}$$ ?
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300难题
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The surface distance between 2 points on the surface of a cube is the length of the shortest path on the surface of the cube that joins the 2 points. If a cube has edges of length 4 centimeters, what is the surface distance, in centimeters, between the lower left vertex on its
front face and the upper right vertex on its back face?
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300难题
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In the figure above, PQ is a diameter of circle 0, PR = SQ,and △RST is equilateral. If the length of PQ is 2, what is the length of RT ?
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300难题
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The figure above shows 2 circles. The lager circle has center A, radius R cm, and is inscribed in a square. The smaller circle has center C, radius r cm, and is tangent to the larger circle at point B and to the square at points D and F. If points A, B,C,and E are collinear, which of the following is equal to $$\frac{R}{r}$$?
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300难题
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In the previous figure, three squares and a triangle have areas of A， B，C，and X as shown. If A =144, B = 81 and C = 225, then X =
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300难题
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Of the following, which is greatest?
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300难题
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If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x ?
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300难题
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If the product of the integers w, x,y, and z is 770,and if 1 < w < x < y < z, what is the value of w + z ?
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300难题
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Ifn =$$p^{2}$$and p is a prime number greater than 5,what is the units digit of $$n^{2}$$ ?
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300难题
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The table above shows the number of residents in each of two age groups who support the use of each type of funding for a city initiative. What is the probability that a person randomly selected from among the 250 residents polled is younger than 40, or supports a type of funding that includes a tax, or both?
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300难题
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A factory assembles Product X from three components, A, B, and C. One of each component is needed for each Product X and all three components must be available when assembly of each Product X starts. It takes two days to assemble one Product X. Assembly of each Product X starts at the beginning of one day and is finished at the end of the next day. The factory can work on at most five Product Xs at once. If components are available each day as shown in the table above, what is the largest number of Product Xs that can be assembled during the three days covered by the table?
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300难题
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In an auditorium, 360 chairs are to be set up in a rectangular arrangement with x rows of exactly y chairs each. If the only other restriction is that 10 < x < 25, how many different rectangular arrangements are possible?
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300难题
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The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2, 3, and 4 exactly once in each integer, what is the sum of these 24 integers?
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300难题
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Mansour: We should both plan to change some of our investments from coal companies to less polluting energy companies. And here's why. Consumers are increasingly demanding nonpolluting energy, and energy companies are increasingly supplying it.
Therese: I'm not sure we should do what you suggest. As demand for nonpolluting energy increases relative to supply, its price will increase, and then the more polluting energy will cost relatively less. Demand for the cheaper, dirtier energy forms will then increase, as will the stock values of the companies that produce them.
Therese responds to Mansour's proposal by doing which of the following?
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