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题目内容
If -2 < a < -1 < b < 0 < c < 1, which of the following statements about the products ab, ac and bc must be true?
A sailmaker made two flat sails, S and T, each in the shape of a trapezoid with a pair of parallel horizontal bases. The bottom bases of the sails have the same length x, where x is 3 times the length of the top base of sail S, and x is 2 times the length of the top base of sail T. The height of sail T is 1.5 times the height of sail S. Both sails were made of material that had a fixed cost per unit area. If the total cost of the material for sail S was $400, what was the total cost of the material for sail T?
A bag contains 32 identically wrapped pieces of candy, of which 7 are mints, 11 are caramels, and the rest are chocolates. If Jill selects pieces of candy at random, what is the least number she must remove from the bag to be sure that she gets a caramel?
The positive integer a is a factor of 96.

Quantity A

a

Quantity B

7


Quantity A

The average (arithmetic mean) of x+y and x-y

Quantity B

x


t > 2

Quantity A

$$(5^{t})(5^{t})$$

Quantity B

$$5^{t^{2}}$$


Quantity A

$$3^{-2}$$

Quantity B

0.1


m=2q, q=2r, and s=3r.

Quantity A

m+r

Quantity B

q+s


$$\frac{k}{a}$$=p+1 and $$\frac{b}{k}=\frac{1}{p}$$, where a, b, k, and p are positive.

Quantity A

a

Quantity B

b


The number of employees at a certain company on January 1, 2007, was k, which was 15 percent greater than the number of employees at the company on January 1, 2006.

Quantity A

The number of employees at the company on January 1, 2006

Quantity B

0.85k




S equals the area of a square region (not shown) with sides of length 2x.

Quantity A

The area of the region enclosed by the pentagon shown

Quantity B

$$\frac{7}{2}S$$


From a sample of 58 different values of data, the 4 least values and the 4 greatest values were removed, forming a new sample of 50 values. Which of the following statistics must have the same value for both the original sample and the new sample?


Three circles of equal area are shown in the figure above. If $$\frac{2}{3}$$ of the area of circle A is shaded, $$\frac{1}{2}$$ of the area of circle B is shaded, and $$\frac{1}{4}$$ of the area of circle C is shaded, what fraction of the sum of the areas of the three circles is shaded?
If $$\frac{3x}{5}-\frac{x}{3}=\frac{2}{15}$$, then $$\frac{1}{x}$$=


Zip cola is sold in bottles of four different sizes at the prices shown in the table shown above. What is the minimum amount one could spend in order to buy at least 65 ounces of Zip cola?
On Wednesday a certain paint store sold 210 gallons of paint, 80 percent of which was white paint. On Thursday the paint store sold 140 gallons of paint, 50 percent of which was white paint. What percent of the paint sold by the paint store on Wednesday and Thursday combined was white paint?

_____%


For how many of the five vehicle types is the number of silver vehicles less than 20 percent of the total number of vehicles of that type?


By approximately what percent does the total number of green vehicles exceed the total number of brown vehicles?


For the 5 vehicle types and 6 vehicle colors, what is the average (arithmetic mean) number of vehicles per type per color, rounded to the nearest whole number?
Two numbers are to be selected at random and without replacement from the set {1, 3, 5, 7, 9, 11}. What is the probability that the product of the two selected numbers will be greater than 50?

Give your answer as a fraction.

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