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TPA
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For each values of y greater than $$2\sqrt3$$, the function f(x) is such that the equation f(x)=y has the form $$x=\frac{(y^2+12)}{y}$$.Select one value for a and one value for b such that the given information implies f(a)=b. make only two selections, one in each column.
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几何
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In the xy-plane, the point (-2, -3) is the center of a circle. The point (-2, 1) lies inside the circle and the point (4, -3) lies outside the circle. If the radius r of the circle is an integer, then r =
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A closed cylindrical tank contains 36π cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
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数论
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If s and t are positive integers such that $$\frac{s}{t}={64.12}$$ which of the following could be the remainder when s is divided by t ?
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Each of the 30 boxes in a certain shipment weighs 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 in the shipment is to be reduced to 14 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed?
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OG19-定量推理
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If $$\frac{x}{4}$$ is 2 more than $$\frac{x}{8}$$, then x =
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OG19-定量推理
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What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.)
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OG19-定量推理
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Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If the machine works at this constant rate, how many hours does it take to make 4,800 copies of a one-page document?
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OG19-定量推理
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How many integers x satisfy both $$2 < x\leq 4$$ and $$ 0\leq x \leq 3$$?
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OG19-定量推理
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If r and s are positive integers such that $$(2^{r})(4^{s}) = 16$$, then $$2r + s$$ =
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OG19-定量推理
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A certain bridge is 4,024 feet long. Approximately
how many minutes does it take to cross this
bridge at a constant speed of 20 miles per hour?
(1 mile= 5,280 feet)
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OG19-定量推理
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How many integers between 1 and 16, inclusive, have,
exactly 3 different positive integer factors?
(Note: 6 is NOT such an integer because 6 has
4 different positive integer factors: 1, 2, 3, and 6.)
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OG19-定量推理
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In a certain learning experiment, each participant had
three trials and was assigned, for each trial, a score of
either -2, -1, 0, 1, or 2. The participant's final score
consisted of the sum of the first trial score, 2 times
the second trial score, and 3 times the third trial
score. If Anne received scores of 1 and -1 for her first
two trials, not necessarily in that order, which of the
following could NOT be her final score?
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OG19-定量推理
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An open box in the shape of a cube measuring 50 centimeters on each side is constructed from plywood. If the plywood weighs 1.5 grams per square centimeter, which of the following is closest to the total weight, in kilograms, of the plywood used for the box? (1 kilogram = 1,000 grams)
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OG19-定量推理
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What is the remainder when $$3^{24}$$ is divided by 5 ?
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OG19-定量推理
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3, k, 2, 8, m, 3
The arithmetic mean of the list of numbers above is 4. If k and m are integers and $$ k\neq m$$, what is the median of the list?
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OG12 OG15 OG16
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There are 4 more women than men on Centerville's board of education. If there are 10 members on the board, how many are women?
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OG12 OG15
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John has 10 pairs of matched socks. If he loses 7 individual socks, what is the greatest number of pairs of matched socks he can have left
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OG12 OG15
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If 4 is one solution of the equation $${x}^{2} + 3x + k = 10$$, where k is a constant, what is the other solution?
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OG12 OG15
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For which of the following values of n is $$\frac{(100+n)}{n}$$ NOT an integer?
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