【GRE考满分题库检索】GRE 题目搜索_等价和填空_阅读和逻辑_数学真题

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题目列表

题目内容
The remainder is 1 when the integer $$n$$ is divided by 5. Quantity A The remainder when the integer $$2n$$ is divided by 5 Quantity B 3
A group consisting of 4 adults and 3 children wil occupy 7 adjacent seats in one row of a theater, one person per seat. How many different arrangements of the 7 people are possible such that no two adults and no two children sit next to each
Let $$p$$ be theproduct of the integers from 1 to 200. What is the exponent of the prime number 7 in the prime factorization of $$p$$?
Let A be the set of integers between 1and 100 that, when divided by 5, have a remainder of 2. Let B be the set of integers between 1 and 100 that, when divided by 6, have a remainder of 1. How many integers are in the set A∩B?
The figure shows a circle with center O and radius $$r$$. If the length of line segment AB is $$\sqrt{2}r$$, what is the area of the shaded region?
The circumference of circle P is 9, and the circumference of circle T is 36. Quantity A The ratio of the radius of circle P to the radius of circle T Quantity B $$\frac{1}{2}$$
Quantity A The greatest integer $$n$$ such that $$360^n$$ is a factor of $$2^{37}3^{25}2^{41}$$ Quantity B 11
The circles with centers P and O have radii 6 and 2, respectively, and are tangent to each other. Line $$l$$ is tangent to the circles at points A and B, as shown. What is the length of line segment AB ?
Quantity A $$(0.001)^{2,000}$$ Quantity B $$(10)^(-4,000)
How many six-digit positive integers have three digits that are 1s, one digit that is 2, one digit that is 3, and one digit that is 4?
The function g is defined by g(x) =x+1 for all numbers x. Quantity A $$g(-1)$$ Quantity B 1
How many five-digit positive integers have four of the digits the same and the other digit different?
The fraction $$\frac{22}{7}$$ is equivalent to the repeating decimal $$3.\overline{142857}$$, and the first 10 digits of the number π are 3.141592653. By how much does $$\frac{22}{7}(10^7)$$ exceed $$π(10^7)$$? Give your answer to the nearest integer.
For each value x in a list of values with mean m, the absolute deviation of * from the mean is defined as \|x-m\|. The absolute deviations from the mean of the five numbers in list L are 0, 1, 2, 3, and 6. If k is an integer greater than 1, the numbers in which of the following lists have the same absolute deviations from the mean as the numbers in L ? Indicate all such lists.
In a list of consecutive integers the least integer is -15 and the greatest is 87. How many integers are in the list?
According to the data in the graph, approximately what is the average (arithmetic mean) annual decrease from 1980 to 1995 in the list price of a Brand X microcomputer?
Two metal cans are right circular cylinders of different sizes. The interior base of can A has an area of 5π square inches, and the height of the oil in can A is 6 inches. The interior base of can B has an area of 10π square inches, and the height of the oil in can B is 2 inches. Oil is to be moved from can A to can B so that the height of the oil will be the same in both cans. Which of the following is closest to what will be the new height of the oil, in inches?
Every positive integer can be represented uniquely in base $$11$$ by $$(a_n......a_2 a_1 a_0)_{11}$$= $$a_n(11^{n})+......a_2(11^{2})+a_1(11^{1})+a_0(11^{0})$$ for some nonnegative integer $$n$$. In the expression, the coefficient $$a_i$$ of $$11^i$$ is one of the digits from 0 to 9 or A, which represents 10, for $$0 ≤ i ≤ n$$, but $$a_n≠ 0$$. For example, $$(4A5)_{11}=599$$ because $$(4A5)_{11}= 4(11^2)+10(11^1)+5(11^0)$$. What is the value of $$(8,423)_{11}- (6,682)_{11}$$?
If a positive integer that is less than or equal to 1,000 is to be selected at random, what is the probability that at least one digit of the selected integer will be 6?
If an integer is chosen at random from between 3,000 and 3,799, inclusive, what is the probability that the chosen integer will begin with the digits 33 or 34 and end with the digit 0 or 1?