GRE考满分·题库

搜索

GRE考满分·题库

搜索
科目分类：
全部 填空和等价 阅读和逻辑 数学
书籍分类：
全部 图表题专项练习 比大小题专项练习 分难度套题练习 2024年最新GRE数学170难题 GRE数学6000题170逐考点专项练习
展开全部

题目列表

题目内容
k is an integer such that 33 ≤ k ≤ 35

Quantity A

The number of positive factors of k, including 1 and k

Quantity B

4
The units digit of $$7^{34}$$ is x, and the units digit of $$6^{34}$$ is y. What is the value of the product xy?
What is the tens digit of the number $$2007^{2007}$$?

Quantity A

The remainder when ($$123^{4}$$-$$123^{3}$$+$$123^{2}$$-123) is divided by 122

Quantity B

2
If $$p$$ is an prime number greater than 5, and if 5 is a factor of $$p+p^{2}$$,which of the following might be the remainder when $$p$$ is divided by 5?

Indicate all such numbers.
Condition 1: n is a positive integer that is less than100

Condition 2: When n is divided by 5, the remainder is 3

Condition 3: When n is divided by 6, the remainder is 2

Quantity A

The number of values of n that satisfy the three conditions

Quantity B

4
1575=$$3^{x}$$*$$5^{y}$$*$$7^{z}$$,What`s the value of x+y+z?
Machine A and machine B, working simultaneously and independently at their respective constant rates, processed $$\frac{3}{4}$$ of the shipment of a certain product in 4.5 hours. Then machine A, working alone at its constant rate, processed the rest of the shipment in 6 hours. How many hours would it have taken machine B, working alone at its constant rate, to process the entire shipment of the product?

_____hours
Three printers, $$X_1$$, $$X_2$$ and $$X_3$$, work only at their respective constant rates. Working together,$$X_1$$, $$X_2$$ and $$X_3$$ can complete a certain job in 9 hours; working together, $$X_2$$ and $$X_3$$ can complete the same job in 12 hours. Working alone, how many hours will it take $$X_1$$ to complete the job?
Two water faucets are used to fill a certain tank. Running individually at their respective constant rates, these faucets fill the empty tank in 12 minutes and 20 minutes, respectively. If no water leaves the tank, how many minutes will it take for both faucets running simultaneously at their respective rates to fill the empty tank?

Give your answer as a decimal.
An escalator installed at a new shopping mall operates at a speed of 90 feet per minute. The handrail of the escalator operates on a separate motor at a speed of 93 feet per minute. A person steps onto the escalator and, at the same time, grabs the handrail. Assuming that the person's hand and shoes do not move on the escalator in how many seconds will the person's hand have moved 0.25 foot more than the person's shoes?

_____seconds
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?
x ≠ 0

$$(a+\frac{1}{a})^{2}$$=5

Quantity A

$$a^{2}$$+$$(\frac{1}{a})^{2}$$

Quantity B

3
x, n and k are all integers, 0 < x < $$10^{7}$$, x=$$n^{k}$$

If the units digit of x is 5, and x could be transformed into both the square of an integer and the cube of an integer, then x must be?


Quantity A

y

Quantity B

115


AB∥ED,△ABC and △EDC are similar triangles,and the area of △EDC equals to $$\frac{1}{9}$$ of the area of △ABC. What is the ratio of AE to EC?
For a certain normal distribution, the value 15.6 is 2 standard deviations below the mean of the distribution and the value 26.1 is 3 standard deviations above the mean of the distribution. What is the mean of the distribution?
In a kindergarten, three shorter kids sit in the first row, while four taller ones sit in the second row. In how many ways can they be arranged?
Fred`s suitcase contains 4 shirts, 3 pair of pants, and 2 pair of shoes. A matching outfit consists of any shirts, any pair of pants, and any pair of shoes, except that one of the shirts does not match one of the pairs of pants. How many matching outfits can be selected from Fred`s suitcase?
Four guests A, B, C and D have to be assigned into three different office rooms (one double room and two single rooms) such that A and B won`t have to stay in the double room at the same time. How many ways in total can they be assigned into these office rooms?

共收录：

25000 +道题目

5本备考书籍

最新提问