【GRE考满分题库检索】GRE 题目搜索_数学

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How many 6-digit integers greater than 400,000 can be formed such that each of the digits 2, 3, 4, 5, 6, and 7 is used once in each 6-digit integer?
If $$\frac{3x}{2}=\frac{5}{7y}$$ and $$\frac{3y}{5}=\frac{a}{x}$$,what is the value of a ? Give your answer as a fraction.
Of the total number of students enrolled at University U in the fallof 2008, $$\frac{3}{8}$$ were sophomores and $$\frac{1}{50}$$ were biology majors. Which of the following could be the total number of students enrolled at University U in the fall of 2008 ? Indicate all such numbers.
The figure above represents a semicircular garden that is enclosed by $$20$$ feet of fencing and a straight garden wall. What is the area, in square feet, of the garden?
The average (arithmetic mean) of x, y, and z is less than the median of x, y, and z. x < y < z. Quantity A The average of x and z Quantity B y
Quantity A The least integer x that satisfies the inequality $$x^{3}$$ > - 30 Quantity B -3
The dotted line segments separate the rectangular region into six identical smaller rectangular regions. Quantity A The area of triangular region WXV Quantity B The area of triangular region XYV
a≠0 Quantity A a+1 Quantity B (1/a)-1
Square FGHJ has sides of length x. Region FOJ is a sector of the circle with center F. Quantity A The area of the shaded region Quantity B $$\frac{x^{2}}{4}$$
Atotal of 1 ,500 boxes are stored in four warehouses. The number of boxes stored in the individual warehouses are x, y, z, and w, respectively, where w= 2x and z= 2y. Quantity A x+y Quantity B 500
In the xy -plane, line segment RS is one of the sides of square RSTU (not shown). Quantity A The area of square RSTU Quantity B 13
n is a positive integer. Quantity A The remainder when $$3^{4n}$$ is divided by 10 Quantity B 1
In the xy-plane, a line with equation y = mc + b,where m and b are constants and mb≠0, has a y-intercept that is twice the x-intercept. Quantity A m Quantity B -2
n is a positive integer. Quantity A $$\frac{1}{3^{n}}$$ Quantity B $$3(\frac{1}{4^{n}})$$
Quantity A PS Quantity B RS
In a certain club, the average (arithmetic mean) age ofthe 35 males is 24.2 years and the average age of the 25 females is 27.6 years. Quantity A The average age of all of the people in the club Quantity B 25.9
Point O is the center of a circle with circumference 12. Point P is another point inside the circle. Quantity A The greatest distance from P to a point on the circle plus the least distance from P to a point on the circle Quantity B 4
$$xy \gt 0$$ Quantity A $$x^{4}y^{3}$$ Quantity B 0
If 00 Quantity A A(a,b)+A(b,c) Quantity B A(a,c)
In the xy-plane, C and D are circles centered at the origin with radii $$\sqrt{17}$$ and $$\sqrt{5}$$, respectively. Quantity A The number of points (a, b) on circle C where both a and b are integers Quantity B The number of points (a, b) on circle D where both a and b are integers

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