【GRE考满分题库检索】GRE 题目搜索_数学

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题目内容
Today is Willy and Jake's birthday. Willy is 6 years older than Jake. On their birthday 4 years from today, Willy's age will be twice Jake's age. What will Jake's age be on his birthday 4 years from today?
Three circles with radii of the same length have centers B, C, and D, respectively. The cirlces with centers B and D are tangent to each other at C. Quantity A The area of the shaded region Quantity B The sum of the areas of the unshaded regions inside the circle
The length and width of rectangle R are $$x$$ and $$y$$, respectively, and the diagonal of R has length 12. Quantity A $$(x+y)^{2}$$ Quantity B 144
Evelyn owns two different properties with areas of 1.5 acres and 0.5 acre, respectively. What is the total area, in square feet, of the two properties combined? (1 acre = 4,840 square yards, 1 yard = 3 feet)
x ≠ 0 Quantity A The average (arithmetic mean) of the numbers x, -x, and \|x\| Quantity B x
Quantity A The length of the fourth side of a quadrilateral if the length of each of the other three sides is 3 Quantity B 3
$$x$$, $$y$$, and $$z$$ are positive integers and $$x+y=z$$. Quantity A The average (arithmetic mean) of $$x$$, $$y$$, and $$z$$ Quantity B $$\frac{z}{2}$$
$$S$$ equals the area of a square region (not shown) with sides of length $$2x$$. Quantity A The area of the region enclosed by the pentagon shown Quantity B $$\frac{7}{2}S$$
In a poll of 200 people who answered either yes or no to each of two questions, 170 people answered yes to the first question and 10 people answered yes to the second question. Which of the following could be the number of people polled who answered no to both questions? Indicate all such numbers.
In the xy-plane, the point $$(t, t-1)$$ lies on the line with equation $$y=-\frac{1}{2} x +\frac{1}{3}$$. What is the value of $$t$$? Give your answer as a fraction.
An alumnus contributed $50,000 to a university for research. The university deposited the money in a new account at an annual interest rate of 10 percent, compounded annually, for 2 years. If 60 percent of the interest earned from this account was then withdrawn, what was the total amount left in the account?
The area of a circle with radius $$c$$ is less than the area of a square with sides of length $$kc$$. Which of the following could be the value of $$k$$? Indicate all such values.
Of the employees in the 2001 workforce who were hired in 1997, 40 percent were hired to fill positions in a new subdivision of Company I. Approximately how many of the employees in the 2001 workforce were hired in 1997 to fill positions in the new subdivision?
In the figure above, what is the sum of $$a$$ and $$b$$? $$a+b$$=_____
In the figure shown, the small circle is tangent to the large circle and passes through the center O of the large circle. If the area of the shaded region is 1, what is the diameter of the small circle?
$$x \gt y \gt z$$ Quantity A $$xy$$ Quantity B $$yz$$
Integer $$n$$ is a multiple of $$6$$. Quantity A The remainder when $$26n$$ is divided by $$4$$ Quantity B $$2$$
A homeowner wants to pour concrete for a new patio and walkway according to the layout shown above. If the concrete is to be $$\frac{1}{3}$$ foot thick, how many cubic feet of concrete will be needed to form the patio and walkway?
Six identical marbles are to be distributed among 4 cups numbered 1 through 4 so that in the resulting distribution there will be at least one marble in each cup. How many different distributions are possible?
What is the product of the different positive prime factors of $$3,528$$?