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2021年GRE数学新170难题
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题目内容
The price of a certain coat is discounted by x percent, and the new price is then discounted by y percent, resulting in price p.
Quantity A:Price p if x=10 and y=30
Quantity B:Price p if x=20 and y=20
s, t, and u are integers, and 10 ≤ s < t < u ≤ 20
Quantity A
s+$$\frac{t}{u}$$
Quantity B
11
Quantity A:x
Quantity B:60
The function f is defined by $$f_{(x)}=x^{-100}$$ for all nonzero numbers x.
Quantity A:$$f_{(2)}$$
Quantity B:$$f_{(-2)}$$
m is the least positive integer for which 18m can be expressed as the square of an integer. n is the least positive integer for which 9n can be expressed as the cube of an integer.
Quantity A:m
Quantity B:n
Quantity A:$$\frac{50!}{(25!)(25!)}$$
Quantity B:$$\frac{50!}{(24!)(26!)}$$
3x+4y=2
6x+8y=4
Quantity A:x
Quantity B:y
Which of the following discounts on a certain computer, when applied to the regular price of $1,200, are equivalent to a 30 percent discount off the regular price of that computer?
Indicate
all
such discounts.
At a local election there were two propositions on the ballot, R and S. Twice as many voters voted "yes" for R as for S. If the number who voted "yes" for R but "no" for S was 750 and the number who voted "yes" for S but "no" for R was 310, how many voted "yes" for both propositions?
Of the x members of a certain club, $$\frac{3}{8}$$ are men and $$\frac{2}{9}$$ of the men are over 50 years old. If 4 men in the club are over 50 years old, what is the value of x?
A storage trunk contains 6 identical blankets and 3 identical pillows. The weight of each blanket is 3 times the weight of each pillow. What is the ratio of the total weight of the 6 blankets to the total weight of the 3 pillows?
What is the perimeter of polygon ABCDE above?
Which of the following is equivalent to (a-b)-(c-d) ?
For the years shown, what was the median of the company`s sales, in thousands of dollars?
Which of the following is closest to the average (arithmetic mean) sales of the company for the 3 years that the company experienced its greatest earnings?
The company`s sales in 1996 were approximately what percent greater than its sales in 1995 ?
The figure shows the graphs, in the xy-plane, of the equations y=ax+b and y=cx+k, where a, b, c, and k are constants. Which of the following statements must be true?
Indicate
all
such statements.
A list of 42 numbers has an average (arithmetic mean) of 110.0. A second list of 58 numbers has an average of 150.0. What is the average of the 100 numbers in the two lists combined?
_____
The volume of a large cube is twice the volume of a small cube. If the length of an edge of the small cube is 2, what is the length of an edge of the large cube?
The average (arithmetic mean) of x,x+2 ,x+4, and x+6 is 6. What is the average of $$x^{2}$$,$$(x+2)^{2}$$ ,$$(x+4)^{2}$$ , and $$(x+6)^{2}$$ ?
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