GRE考满分·题库

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题目内容
Kim, Megan, Nina, and Paula are planning to go to a movie theater, where three different movies--A, B and C--are being shown simultaneously in different auditoriums. Each of them will see only one of the movies but not necessarily the same movie as any of the other three people. One possible outcome is that Kim and Megan will see C while Nina and Paula will see A. How many possible outcomes are there?


The figure shows a square in which each of four interior line segments connects the midpoint of a side to a vertex of the square. The area of the shaded regions what fraction of the area of the square?

Quantity A

$$\frac{9^{17}}{8^{17}}$$

Quantity B

$$\frac{9^{17}+5^{10}}{8^{17}+5^{10}}$$
Let $$m=(2^{3})( 3^{2})(5)(7^{2})$$ and $$p=(2^{2})(3^{5})(5^{4})(11)$$. What is the greatest common divisor of m and p?
For a positive integer n, when 2n+3 is divided by 11, the remainder is 3. What is the remainder when n+15 is divided by 11?
The standard deviation of n numerical data $$ x_{1}, x_{2}, x_{3}, ..., x_{n}$$, With mean $$\bar{x}$$ is equal to $$\sqrt{\frac{S}{n}}$$, where S is the sum of the squared differences $$(x_{i}-\bar{x})^{2}$$, for 1 ≤ i ≤ n.

Each book that a bookstore sold last year was either new or used. The bookstore sold new books for $80 each and used books for $40 each. The standard deviation of the prices of the books sold last year was $16.

Quantity A

The fraction of the books sold last year that were new

Quantity B

$$\frac{1}{2}$$
m is positive integer that is divisible by 8. q is a positive integerthat is not divisible by 8 but is divisible by 4.

Quantity A

The remainder when m+q is divided by 8

Quantity B

4
A={1, 2, 3, 4, 5, 6}

B={1, 2, 5, 6, 9, 10}

C={1, 3, 5, 7, 9, 11}

For the sets A, B, and C above, how many numbers are in the set (A∪B)∩C?
Thomas' daughter plans to begin college 6 years from now. Thomas plans to open a new college savings account that pays interest at the annual rate of 2.2 percent, compounded annually. Which of the following is closest to the amount of the initial deposit that Thomas should make if he plans to have $20,000 in the account at the end of 6 years, provided that there will be no ransactions in the account other than the initial deposit and the interest payments?
The inside of a rectangular aquarium has an inner base that measures 8 inches by 10 inches, and has an inner height of 10 inches. The rectangular base of the aquarium is level,and the aquarium is filled with water so that the water level is 6 inches higher than the baes. After a solid piece of steel is completely submerged in the water, the water level is 7 inches higher than the base.

Quantity A

The volume of the piece of steel

Quantity B

100 cubic inches
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean x is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences, $$(x_{i}- x)^{2}$$ for 1 ≤ i ≤ n.

c,c,c,2c,4c,4c,5c,6c

In the list of 8 numbers shown, c > 0. Which of the following is closest to the standard deviation of the 8 numbers?
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean x is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences, $$(x_{i}- x)^{2}$$ for 1 ≤ i ≤ n.

Data sets K and T have the same number of values.Each value in K is either 0 or 2, and both 0 and 2 occur in K at least once. Each value in T is either 0 or 1,and both 0 and 1 occur in T at least once.

Quantity A

The standard deviation of the values in K

Quantity B

The standard deviation of the values in T


The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean x is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences, $$(x_{i}- x)^{2}$$ for 1 ≤ i ≤ n.

The mean and standard deviation of the 17 values in a list are 0 and 40, respectively. If one more value is included in the list, the mean of the 18 values will be 0. The standard deviation of the 18 values will be closest to which of the following?
When the positive integer n is divided by 7, the remainder is 2.

Quantity A

The remainder when 2n+1 is divided by 7

Quantity B

5
Of the 30 college students taking a certain course, 10 are less than 21 years old and 4 received a score higher than 85 percent on the last test.

Quantity A

The number of students who are less than 21 years old and who received a score higher than 85 percent on the last test

Quantity B

3
If the product of integers a, b, c, and d is an even integer, which of the following statements about a, b, c, and d must be true?
What is the units digit of the sum $$13^{10}+17^{10}$$ ?

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