GRE考满分·题库

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题目内容
n is an even integer greater than 2

Quantity A

$$\frac{n!}{(\frac{n}{2})!}$$

Quantity B

2($$\frac{n}{2}$$)!
S is the set of all ordered pairs (x, y) of integers such that -10 ≤ x ≤ 10 and -5 ≤ y ≤ 15.

Quantity A

The number of ordered pairs (x, y) in S such that x=y

Quantity B

16
The letters in a certain name can be arranged in exactly 180 different orders. Which of the following could be that name?


A box contains 12 candies of four different flavors. The table above shows the numbers of candies of each flavor. If 2 candies are to be selected at random from the box, without replacement, what is the probability that of the 2 candies selected one will be a caramel candy and the other will be a cherry candy?
A certain spacecraft has 2 separate computer systems, X and Y, each of which functions independently of the other. The probabilities that systems X and Y will function correctly at liftoff are 0.90 and 0.99, respectively. What is the probability that at least one system will function correctly at liftoff?
Event A and event B are independent. The probability that event A occurs is 0.6 and B occurs is 0.5. What is the probability that neither A nor B occurs?

Give your answer as a decimal.
Let n be a nonnegative integer such that when 6n is divided by 75, the remainder is 30. Which of the following is a list of all possible remainders when 7n is divided by 75?
How many positive integers less than or equal to 603 are multiples of 2 or multiples of 3 or both?
$$x^{2}$$=4 and $$y^{2}$$=1

Quantity A

$$(x-y)^{2}$$

Quantity B

3
a and b are integers, and $$a^{2}$$+$$b^{2}$$=100.

Quantity A

a+b

Quantity B

10
In a certain sequence, each term after the first is equal to the preceding term multiplied by -$$\frac{1}{2}$$. If the 200th term is positive, which of the following statements must be true?

Indicate all such statements.
What`s the remainder when $$3^{82}$$ is divided by 5?
In a game, the cards in a certain deck are distributed to players one at a time until each player has the same number of cards and there are not enough cards left in the deck to distribute one more card to each player. The number of cards in the deck is between 60 and 100. If the cards in the deck are distributed to 5 players, 2 cards will be left in the deck. If the cards in the deck are distributed to 6 players, 4 cards will be left. If the cards in the deck are distributed to 7 players, how many cards will be left in the deck?
What is the length of an edge of the smallest solid cube that can be made by placing together solid rectangular blocks of size 7 by 6 by 3?
x and y are positive numbers such that $$\frac{1}{x}+\frac{1}{y}=\frac{1}{4}$$ and x < 12.

Quantity A

y

Quantity B

8
A certain baker sent 280 loaves of bread to a grocery store. The baker packed the loaves in two types of boxes. The smaller type of box could hold up to 8 loaves, while the larger type of box could hold up to 12 loaves. When the baker sent the loaves, all the boxes were full and there were equal numbers of both types of boxes. What fraction of the loaves of bread sent to the grocery store were packed in the smaller boxes?
On a construction map of a certain college campus, $$\frac{1}{3}$$ of the area of the campus is marked by landscaping. Of the part of the campus that is not marked by landscaping, $$\frac{1}{8}$$ of the area is marked for gym buildings. What fraction of the area of the campus is not marked for either landscaping or gym buildings?
Yesterday, 40 percent of the employees who were at work at Company X left for the day before 5 P.M and 70 percent of the remaining employees left for the day before 6 P.M.

Quantity A

The percent of the employees at Company X yesterday who did not leave for the day before 6 P.M

Quantity B

20%


Quantity A

RS

Quantity B

TU
The list price of a belt and the list price of a scarf were each reduced by $5. The percent decrease in the list price of the belt was less than the percent decrease in the list price of the scarf.

Quantity A

The list price of the belt

Quantity B

The list price of the scarf

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