GRE考满分·题库

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题目内容
The ratio of the length of three sides of a triangle is 3:5:7

Quantity A

The degree of the largest angle in the triangle

Quantity B

84°

PQ=QR=QS

Quantity A

PS

Quantity B

RS

Quantity A: The length of IJ
Quantity B: 5


AB∥ED,△ABC and EDC are similar triangles, and the area of △EDC equals to $$\frac{1}{9}$$ of the area of △ABC. What is the ratio of EC to AE?

Give your asnwer as a fraction.
In the xy-plane, one of the vertices of square S is the point (2, 2). The diagonals of S intersect at the point (6, 6).

Quantity A

The area of S

Quantity B

64

The figure above represents a rectangular garden with a walkway around it. The garden is 18 feet long and 12 feet wide. The walkway is uniformly 3 feet wide, and its edges meet at right angles. What is the area of the walkway?
A flat, rectangular flower bed with an area of 2,400 square feet is bordered by a fence on three sides and by a walkway on the fourth side. If the entire length of the fence is 140 feet, then which of the following could be the length, in feet, of one of the sides of the flower bed?
Indicate all such lengths.
The number of points of intersection between an equilateral triangle and a square could be (such that none of the sides would be overlapping)?
Indicate all that is/are true.

Quantity A

Area of a rectangle with perimeter 20

Quantity B

Area of a triangle with base 5 and height 10
Set A consists of 40 integers, and set B consists of 150 integers. The number of integers that are in both set A and set B is 20.

Quantity A

The total number of integers that are in set A or set B, or both

Quantity B

170
Set A has 50 members and set B has 53 members. At least 2 of the members in set A are not in set B. Which of the following could be the number of members in set B that are not in set A?
Indicate all such numbers.
Among 66 students, 40 like dancing, 25 like swimming, while 6 like neither dancing nor swimming. How many of them like only dancing?
Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?
Of the people surveyed about the effectiveness of various treatments for insomnia, 65 percent reported that prescription drugs were effective and 48 percent reported that exercise was effective. If 22 percent of those surveyed reported that prescription drugs were effective but did not report that exercise was effective,what percent of those surveyed reported that exercise was effective but did not report that prescription drugs were effective?

_____%
A group of students could attend choir and orchestra hobby group as they wish. Among 110 female students, 35 only attend the choir, 26 only attend the orchestra, 9 attend both, while the rest 40 attend neither. Among 120 male students, 49 only attend the choir, 14 only attend the orchestra, 12 attend both, while the rest 45 attend neither. Which of the following statements must be true?
Indicate all such is/are true.
A group of people attend an activity. 40 per cent of them are teachers, while 80 per cent of all teachers have master`s degree.

Quantity A

The proportion of teachers who don`t have master`s degree among all teachers

Quantity B

$$\frac{1}{5}$$
52% of the bottled drinks in a shop contains A, 18% of the bottled drinks in the shop contains B, while 10% of the bottled drinks contains both A and B.

Quantity A

The percent of the bottled drinks in the shop that contains neither A nor B

Quantity B

34%
In a class of 80 students, 40 took biology, 30 took chemistry. Which of the following statements can individually help determine the number of students who took both courses?
Indicate all such statements.
The 50 students in an art class were given an assignment to visit two museums,A and B.During the week after the assignment was given, 25 of the students visited Museum A and 10 of those 25 students also visited Museum B.

Which of the following statements individually provide(s) sufficient additional information to determine how many of the students visited Museum B during that week?

Indicate all such statements.
In a group of people, the proportion of math major students and male students are the same. 35 per cent of all students are male and major in math, while 15 per cent of all students are female and don`t major in math. What`s the proportion of students who major in math?
______%

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