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2021年GRE数学新170难题
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题目内容
A rectangular solid P has height 2c and a base of width a and length b. Two other rectangular solids, Q and R, each have height c and bases of width a and length b. Which of the following represents the amount by which the sum of the surface areas of Q and R exceeds the surface areas of P?
A survey of 550 male managers and 650 female managers was conducted. All 1,200 managers identified whether, for each of six characteristics, the characteristic is important to consider when hiring a new employee. For each of the six characteristics, the percent of managers surveyed who identified that characteristic as important to consider is given in the following table.
Which of the following statements about the managers surveyed must be true?
The number of managers surveyed who identified work experience as an important characteristic to consider was approximately what percent greater than the number who identified appropriate attire and behavior as an important characteristic to consider?
If 48 percent of the managers surveyed identified both ability to follow directions and computer expertise as an important characteristics to consider, what percent of the managers surveyed identified neither of these characteristics as important to consider?
18.On his trip to the airport, Grant drove a total of 9 miles. His average speed on the trip was x miles per hour, where 30 ≤ x≤35. Which of the following could be the total number of
minutes
that Grant took to make the trip?
Indicate
all
such numbers of minutes.
If n is an integer, what is the least possible value of $$3^{n}+(3)(3^{-n})$$
At a certain elementary school, 10 percent of the fifth-grade students are members of the school band. If 12 percent of the fifth-grade boys and 8 percent of the fifth-grade girls are members of the band, what percent of the fifth-grade students at the school are boys?
n is an odd integer between 2 and 10, and n is not a prime number.
Quantity A
n
Quantity B
9
s, t, and u are integers, and 10 ≤ s < t < u ≤ 20
Quantity A
s+$$\frac{t}{u}$$
Quantity B
11
In square ABCD, point P is the midpoint of side BC and point Q is the midpoint of side AD. Point E (not shown) is located on line l and triangle BCE is equilateral.
Quantity A
The length of PQ
Quantity B
The length of PE
$$z*10^{k} = 6*10^{m}$$
m = k +2
Quantity A
z
Quantity B
60
A certain bag contains red balls, green balls, and blue balls and no other balls. The ratio of the number of red balls to the number of blue balls is 2:3, and the ratio of the number of blue balls to the number of green balls is 4:3. The number of blue balls in the bag is what fraction of the total number of balls in the bag?
For each of the last 5 years, the population of a colony of beetles increased by 8 percent of the preceding year`s population. If P represents the current population of the colony, which of the following best represents the population 5 years ago, in terms of P ?
Ben has 30 pencils in a box. Each of the pencils is one of 5 different colors, and there are 6 pencils of each color. If Ben selects pencils one at a time from the box without being able to see the pencils, what is the minimum number of pencils that he must select in order to ensure that he selects at least 2 pencils of each color?
If p and n are prime numbers, p-n=4, and $$\frac{3}{2}$$ < $$\frac{p}{n}$$ < 2, what is the value of p?
The area of a circle with radius a is less than the area of a square with sides of length ka. Which of the following could be the value of k ?
Indicate
all
such values.
Which of the following is most nearly equal to$$\frac{2.5*10^{6}}{2.5*10^{6}-3.5*10^{-6}}$$
Which of the following statements about triangle PQR shown in the xy-plane are true?
The table shows the percent distrbution of financial support for a nonprofit organization, by source. The amount of financial support from individuals is approximately what percent less than the amount from corporations?
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