GRE考满分·题库

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题目内容
m is an odd number and greater than 1

Quantity A

The greatest prime factor of 2m

Quantity B

The greatest prime factor of $$m^{2}$$
k and n are consecutive positive odd integers.

Quantity A

The least common multiple of k and n

Quantity B

kn
y=105n (n is a positive integer)

y is both the square of an integer, and a multiple of 30

What is the least possible value of n?
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
How many positive two-digit integers have a remainder of 3 when divided by both 10 and 6?
If a, b and c are integers such that 0 < a < b < c < 2a, what is the greatest common factor of $$84^{a}$$, $$126^{b}$$, and $$98^{c}$$?
In a pile of books, $$\frac{1}{3}$$ are biography books, $$\frac{1}{4}$$ are chemistry books, while another $$\frac{1}{5}$$are math books. What ratio of all books are books other than the three subjects of books listed above?

Give your answer as a fraction.
For integers x, y, and z, where 1 ≤ x < y < z ≤ 10, what is the least possible value of the expression $$\frac{x-y}{z}$$?

Give your answer as a fraction.
Each of the 1,800 households that participated in a survey owned either one car, two cars, or no cars. If 740 of the households owned only one car and at least $$\frac{1}{3}$$ of the households owned two cars, what is the greatest possible value of the ratio of the number of households that owned no cars to the number of households that owned two cars?

Give your answer as a fraction.
If x and y are positive numbers and the ratio of x to y is 5 to 4, which of the following ratios must be equal to 6 to 5?
What is the sum of the repeating decimals of the form $$0.\overline {cd}$$, where c and d are digits such that c < d and c+d=5?

Give your answer as a fraction.
$$b \lt 0$$

Quantity A

|$$-b^{3}$$|

Quantity B

$$-b^{3}$$
$$k \gt m$$

Quantity A

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

Quantity B

|$$k$$| - |-$$m$$|
|2+k|=|2-k|

Quantity A

k

Quantity B

0
From station A to station D, one also has to pass through station B and station C. The total distance between station A and D is 30km, the distance between station A and B is 12km, while the distance between station C and D is 2/3 of the distance between station B and C. What is the ratio of the distance between station A and C to the total distance between station A and D?

Give your answer as a fraction.
Today a certain machine is worth 20 percent less than it was worth a year ago, and it is worth x percent less than it was worth two years ago. A year ago the machine was worth 20 percent less than it was worth two years ago.

Quantity A

x

Quantity B

40
Anne pays 20 percent more for a wholesale widget than Bart pays. Anne`s retail price per widget is 8 percent less than the wholesale price she paid. Bart`s retail price per widget is 12 percent greater than the wholesale price he paid.

Quantity A

Anne's retail price

Quantity B

Bart's retail price
A pianist agreed to perform one concert at a fee $$12\frac{1}{2}$$ percent less than her usual fee and a second concert at a fee 20 percent greater than the first fee. The fee for the second concert was what percent greater than her usual fee?
The price of a stock increased by 10% from January to February, decreased by n% from February to March, and then increased by 25% from March to April. If the company`s stock increased by 5% from January to April in total, then what is the value of n?

Give your answer to the nearest 0.1.
On May 5, 2004, the closing price of Stock A was $60.00, which was a decrease of 8 percent from the closing price of the stock on the previous day, May 4, 2004. On May 6, 2004, the closing price of the stock was exactly the same as the closing price on May 4, 2004. What was the percent increase in the closing price of the stock from May 5, 2004 to May 6, 2004?

Give your answer to the nearest whole percent.

_____%

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