GRE考满分·题库

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题目内容
2 < $$x$$ < 5

$$\frac{1}{10}$$ < y < $$\frac{1}{5}$$

Quantity A

x+y

Quantity B

$$\frac{1}{x}$$+$$\frac{1}{y}$$
In a list of 5 different numbers the average (arithmetic mean) of the 3 greatest numbers is 72 more than the average of the 3 least nunbers. The average of the 2 greatest numbers is how much more than the average of the 2 least numbers?
There were 5 different new houses for sale in a certain town last month. This month the prices of 3 of these houses decreased by $45,000 each, while the prices of the other 2 houses remained the same.

Quantity A

The standard deviation of the original 5 prices

Quantity B

The standard deviation of the resulting 5 prices after the 3 prices decreased
Rodrigo's locker number has 3 different digits, the sum of which is 12. The sum of any two digits in the number is less than 10, and the digits are in decreasing order from left to right. What is Rodrigo's locker number?
If both a and b are positive odd integers, which of the following could be the units digit of the sum ab+1?

Indicate all such numbers.
Of the positive integers that are less than 25, how many are equal to the sum of a positive multiple of 4 and a positive multiple of 5?
All of the 80 science students at a certain school are enrolled in at least one of three science courses: biology, chemistry, and physics. There are 60 students enrolled in biology, 50 students enrolled in chemistry, and 35 students enrolled in physics. None of the students are enrolled in all three courses. Which of the following could be the number of students enrolled in both chemistry and physics?
Indicate all such numbers.
Eugene and Penny started a job in sales on the same day. Eugene's sales for the first month were r dollars and each month after the first his sales for that month were twice his sales for the preceding month. Penny's sales for the first month were 10r dollars, and each month after the first her sales for that month were 10r dollars more than her sales for the preceding month. Which of the following statements are true?
Indicate all such statements.

Each of the four semicircles shown in the figure has a side of the square as its diameter and has exactly one point in common with the larger circle. If each side of the square has length 4,what is the sum of the areas of the shaded regions?

The figure above shows a rectangle and five circles. Each circle is tangent to the other circles and to the sides of the rectangle that it touches. If the diameter of each circle is 4, what is the area of the rectangle?
List S consists of the 25 integers between 14 and 88 that are multiples of 3. What is the median of the integers in S?
If x=2y+1, and y=2w, where w, x, and y are integers, which of the following must be an odd integer?
If k, n and p are consecutive positive even integers and k < n < p, which of the following must be an integer?
k is a positive integer

Quantity A

The remainder when k is divided by 7

Quantity B

The remainder when 2k is divided by 7
N is an integer between 10 and 100. When N is divided by 4, 6, and 7, the remainder is 2.

Quantity A

The remainder when N is divided by 11

Quantity B

9
A box contains a certain number of cards, each of which is labeled by one of the values 4, 8, or 10. The numbers of cards labeled by each value are directly proportional to the values on the cards. What is the least possible number of cards in the box labeled by the value 10?
$$k \gt m$$

Quantity A

|$$m$$| - |-$$k$$|

Quantity B

|$$k$$| - |-$$m$$|
Last year the value of one share of a certain stock increased by 10 percent from January to June, and the value of one share of the stock increased by 50 percent from January to December. What was the percent increase in the value of one share of the stock from June to December of last year?

Give your answer to the nearest whole percent.

_____%
By draining 40 gallons of water from a tank, the amount of water in the tank was decreased from $$\frac{1}{5}$$ of the tank 's full capacity to $$\frac{2}{11}$$ of the tanks full capacity. Water was then added to the tank until the tank was full. How many gallons of water were added to the tank?
x≠0

y≠0

x+y≠0

Quantity A

$$x^{-3}$$+$$y^{-3}$$

Quantity B

$$(x+y)^{-3}$$

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