OG18-定量推理
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The number 2 ‒ 0.5 is how many times the number 1 ‒ 0.5 ?
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OG18-定量推理
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If x – y = R and xy = S, then (x – 2)(y + 2) =
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OG18-定量推理
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In the figure above, if F is a point on the line that bisects angle ACD and the measure of angle DCF is x°, which of the following is true of x?
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OG18-定量推理
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In which of the following pairs are the two numbers reciprocals of each other?I. 3 and $$\frac{1}{3}$$II. $$\frac{1}{17}$$ and $$-\frac{1}{17}$$III. $$\sqrt{3}$$ and $$ \frac{\sqrt{3}}{3}$$
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OG18-定量推理
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A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?
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OG18-定量推理
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In the rectangular coordinate system shown above, points O, P, and Q represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
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OG18-定量推理
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What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
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OG18-定量推理
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Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
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OG18-定量推理
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How many integers x satisfy both 2 < x ≤ 4 and 0 ≤ x ≤ 3 ?
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OG18-定量推理
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At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8. If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
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OG18-定量推理
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As shown in the diagram above, a lever resting on a fulcrum has weights of $$w_{1} $$ pounds and $$w_{2}$$ pounds, located $$d_{1}$$ feet and $$d_{2}$$ feet from the fulcrum. The lever is balanced and $$w_{1}d_{1} = w_{2}d_{2}$$. Suppose $$w_{1}$$ is 50 pounds and $$w_{2}$$ is 30 pounds. If $$d_{1}$$ is 4 feet less than $$d_{2}$$, what is $$d_{2}$$, in feet?
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OG18-定量推理
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The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H. If the total number of rooms at Hotel G and Hotel H is 425, what is the number of rooms at Hotel G ?
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OG18-定量推理
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$$(1 + \sqrt{5})(1 - \sqrt{5}) = $$
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OG18-定量推理
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A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was $${10}^4$$, what was the number in the population 1 hour later?
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OG18-定量推理
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$$\frac{3}{100} + \frac{5}{1,000} + \frac{7}{100,000}$$
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OG18-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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OG18-定量推理
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The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 15 percent of the budget?
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OG18-定量推理
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$$\sqrt{16+16}$$
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OG18-定量推理
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Three people each contributed x dollars toward the purchase of a car. They then bought the car for y dollars, an amount less than the total number of dollars contributed. If the excess amount is to be refunded to the three people in equal amounts, each person should receive a refund of how many dollars?
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OG18-定量推理
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What is the ratio of $$\frac{3}{4}$$ to the product $$4(\frac{3}{4})$$
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