【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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题目内容
A certain personal identification number (PIN) for opening garage doors is a sequence of 4 digits, where each digit is selected from the digits 0 to 9. How many such PINs have at least two different digits and are palindromes? (Note: A palindrome is a sequence of characters that reads the same backward and forward. For example, 1221 is a palindrome.)
r, s, and t are number on the number line above. Quantity A $$\frac{rs}{t}$$ Quantity B $$rst$$
A group of n people is categorized as follows. 9 people are taller than 6 feet. 14 people are shorter than $$5\frac{1}{2}$$ feet. 12 people are under 21 years old. If each person in the group is in at least one of the three categories, then n can be any integer between
The length of one side of the above quadrilateral is p, while the length of the other three sides are q, r, and s, respectively. Quantity A p Quantity B q+r+s
Two bags, A and B, each contain marbles some of which are green. If one marble is selected at random from each bag, the probability is $$\frac{1}{21}$$ that both of the marbles selected will be green. If one marble is selected at random from bag A only, the probability is $$\frac{5}{21}$$ that the marble selected will be green. If one marble is selected at random from bag B only, what is the probability that the marble selected will be green? Give your answer as a fraction.
The advertised size of a television is the length of the diagonal of the rectangular viewing screen. For a television advertised as 42-inch, if the ratio of the lengths of the sides of the viewing screen is 16 to 9. approximately what is the area, in square inches, of the viewing screen?
Each of the thirteen marked points is either the center of one of the six circles or a point shared by two tangent circles. Each circle has a radius of r inches, and the rectangular region ABCD has a perimeter of x inches and an area of x square inches. What is the value of r?
$$N$$ is a two-digit integer. The units digit of $$N^2$$ is 9. Quantity A The units digit of N Quantity B 6
Last year 40 percent of the students at College X took Biology I. If all of the science majors and 10 percent of the nonscience majors took Biology I, approximately what percent of the students at College X last year were science majors?
The sequence shown is defined by $$Q_1=6$$ and $$Q_{n+1}=\frac{1}{3}Q_n$$, for each positive integer n. $$Q_1, Q_2, Q_3, ......, Q_n,.....$$ Quantity A $$Q_{11}$$ Quantity B $$(3^{17})Q_{28}$$
When the positive integer m is divided by 42, the remainder is 13. What is the remainder when m is divided by 6?
The standard deviation of n numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean $$\overline{x}$$ is equal to $$\sqrt{\frac{s}{n}}$$, where S is the sum of the squared differences $$(x_{i} - \overline{x})^{2}$$ for 1 ≤ i ≤ n. List K consists of 5 different numbers. List L consists of 5 numbers and is formed by multiplying each number in K by 2. The standard deviation of the numbers in K is x and the standard deviation of the numbers in L is 2y. Quantity A x Quantity B y
The table above shows scores received by 5 people on each of 4 tests. For these 5 people, which person`s scores have the greatest standard deviation?
Quantity A The standard deviation of the distribution of X Quantity B The standard deviation of the distribution of Y
If the results of this survey accurately reflect the distribution of car ownership in a population of 1.2 million families, approximately how many of the families would most likely have exactly 3 motor vehicles?
Quantity A x Quantity B y
From a set of 15 questions, a student must select exactly 12 questions to answer. How many different selections of 12 questions are possible if the order in which the questions are selected does not matter?
Six students are competing in a contest that will result in a list of three winners:one first-place winner, one second-place winner, and one third-place winner. How many different lists of three winners are possible?
Of the 7 guests at a party, 3 are close friends of the host and 4 are acquaintances of the host. At the end of the party,the host will randomly select 2 different guests to win prizes. What is the probability that both of the prizewinners will be among the 3 close friends of the host?
A large pump and a small pump are available to fill a public fountain with 7,500 gallons of water. The pumps can be used alone or simultaneously. Working alone at their respective constant rates, the small pump would take 1.6 times as long as the large pump to fill the fountain. Working simultaneously at their respective constant rates, the two pumps would take 3 hours to fill the fountain. How long would the small pump take to fill the fountain, working alone at its constant rate?