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2021年GRE数学新170难题
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题目列表
题目内容
x and y are integers and xy<0.
Quantity A:$$x^{y}$$
Quantity B:0
A certain ship traveled 40 miles at an average speed of 18 knots. (
Note
: 1 knot = 1.15 miles per hour, rounded to the nearest 0.01 mile.)
Quantity A: The time it took the ship to travel the 40 miles
Quantity B:2 hours
In RST, the measure of angle S is 52°, and the measure of angle T is 58°.
Quantity A
The length of side RS
Quantity B
The length of side ST
15 < x < 30
15 < y < 30
15 < z < 30
Quantity A:The range of the three numbers x, y, and z
Quantity B:15
0 < x < y < 1
Quantity A:$$(\frac{\sqrt{x}}{y^3})^{-1}$$
Quantity B:$$(\frac{\sqrt{y}}{x^3})^{-1}$$
In the xy-plane shown, point R (not shown) has coordinates (c,d), where c>0. The area of triangle PQR is 24.
Quantity A:c
Quantity B:2
$$x^{2}y^{3}$$ < 0
Quantity A:$$xy^{2}$$
Quantity B:0
Consider dates represented by three numbers in the form day-month-year. For example, 21-3-2000 represents March 21, 2000. A date in which the day, month, and year are each divisible by 5 is called a "triple-five date." How many triple-five dates were there in the year 2010 ?
If the average (arithmetic mean) of three consecutive integers is 2 more than the average of 18, 27, and 30, what is the greatest of the three consecutive integers?
Each of the marbles in a bag is either blue, red, or green, and there is at least one marble of each color in the bag. If the bag contains twice as many blue marbles as red marbles, then the number of red marbles in the bag divided by the total number of marbles in the bag is
The circumference of circle $$C_{1}$$ is 12π and the circumference of circle $$C_{2}$$ is 24π. What is the ratio of the area of $$C_{2}$$ to the area of $$C_{1}$$ ?
In the rectangular coordinate system, line k has slope $$\frac{1}{2}$$ and y-intercept 4. What is the x-intercept of k ?
Each of two generators produces energy at a constant rate, but the two rates are different. One of the generators produces n units of energy in 4 hours, and the other generator produces the same amount of energy in half the time. What fraction of n units of energy will be produced by both generators if they work simultaneously for 40
minutes
?
The number of residents who chose "Private donations" as a response to question 1 was how many more than the number who chose "Private donations" as a response to question 2 ?
If one resident is to be randomly selected from among the 2,000 residents, what is the probability that the selected resident`s response to question 2 was either "Local government" or "Private donations"?
What is the greatest possible number of residents who chose the response "Local government" to both questions?
Marcel purchased a television at a price that was less than its list price. The total amount that he paid for the television consisted of the purchase price and a sales tax of $7.20, which was p percent of the purchase price. Which of the following statements
individually
provide(s) sufficient additional information to determine the value of p ?
Indicate
all
such statements.
How many integers between 1 and 100 are multiples of 7 but are
not
multiples of 6 ?_____
If $$\frac{1}{2}$$ < x < $$\frac{3}{4}$$ and $$\frac{2}{7}$$ < y < $$\frac{4}{7}$$, which of the following is a possible value of xy ?
The function g is defined for all numbers x by g(x)=r$$x^{5}$$ - s$$x^{3}$$+t, where r, s, and t are constants. If g(1)=0, which of the following could be the values of the three constants?
Indicate
all
such values.
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