【GRE考满分题库检索】GRE 题目搜索_数学

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题目内容
S={1, 2, 3} T={1, 2, 3, 4} Quantity A The total number of 4-digit positive integers that can be formed using only the digits in set S Quantity B The total number of 3-digit positive integers that can be formed using only the digits in set T
A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
Set S = {1, 4, 7, 10} Set T = {2, 3, 5, 8, 13} x is a number in set S, and y is a number in set T. Quantity A: The number of different possible values of the product xy Quantity B: 20
Mark is supposed to fill three sectors of a garden with a selection of five colors of flowers. The same color could be used, but only twice at most, and not adjacent. In how many ways can the garden be decorated?
d is a integer greater than 1. Quantity A $$(d^{2})!$$ Quantity B $$(d!)^{2}$$
Which of the following values of x satisfies the equation $$\frac{x}{2}=n!$$ for some positive integer n?
Quantity A 14! Quantity B 15!-14!
（51!-50!）÷（50!-49!）=? Give your answer as a fraction.
The area of a square is 16. If its area increases by 6, then each of its side needs to be how much longer?
If ABCD is a square with area 625, and CEFD is a rhombus with area 500, then the area of the shaded region is? Note: Figure not drawn to scale
BC//AD//EF, AD=9, BC=3, AB=4, CD=6 If the perimeter of CBEF is the same as DAEF, then the sum of AE+DF is?
Quantity A The area of the shaded area Quantity B 15
Quantity A Length of AO Quantity B Length of AB
AB is a diameter of the circle above. Quantity A The length of AB Quantity B The average (arithmetic mean) of the lengths of AC and AD
If the difference between the radii of two concentric circles is 5, then what is the difference between their perimeters?
The figure above shows a rectangle inscribed in a large circle. Inside the rectangle is a small circle of radius 2 that is tangent to two sides of the rectangle. If the length of the rectangle is twice its width, what is the area of the large circle?
A square hole with a side of 1 foot needs to be totally covered by the base of a hemisphere. What`s the least length of the radius of the hemisphere?
In a circle, the area of the shaded sector is 16π. Quantity A The radius of the circle Quantity B 5.5
The area of the shaded area is 12π. The smaller circle intersects with the bigger one at one point and passes through the center of the bigger circle. What is the diameter of the smaller circle?
The radii of the above two circles are both 3. If these two circles intersect at point P and point Q and each circle pass through the center of the other circle, then what is the total perimeter of the region (not counting the arc inside)?