【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
For all numbers x and y, the operation ▼ is defined by x ▼ y=x-2y. Quantity A 1▼(2▼3) Quantity B (1▼2) ▼3
If n is a positive integer greater than 1, then n($$n^{2}$$-1) must be a multiple of which of the following integers? Indicate all such numbers.
X=12$$3^{4}$$-12$$3^{3}$$+12$$3^{2}$$-123 What is the remainder when X is divided by 122?
P, Q, and R are three points in a plane that are not all on the same line. Which of the following describes the set of all points in the plane that are equally distant from points P, Q and R?
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.
The table above shows the frequency distribution of the values of a variable Y. What is the expected value of the distribution? Give your answer to the nearest 0.01.
Sample P: 0.8, 0.9, 0.9, 1.0 Sample Q: 1.0, 1.0, 1.0, 1.0 Sample R: 0.8, 0.8, 1.0, 1.0 Sample S: 0.7, 0.7, 0.9, 0.9 Sample T: 0.9, 1.0, 1.0, 1.1 Five samples of 4 washers each were taken from a production line. The inside diameter of each washer was recorded to the nearest 0.1 centimeter, as shown above. For which of the samples is the standard deviation of the measurements greater than the standard deviation of the measurements for sample P? Indicate all such samples.
Set A consists of all of the positive five-digit even integers that can each be formed by using all of the digits 1, 2, 3, 4, and 5. What is the number of integers in set A?
Three coins-two 10-cent coins and one 5-cent coin--are to be flipped simultaneously. For each of the three coins, the probability that the coin will land heads up is $$\frac{1}{2}$$. What is the probability that the total value of the coins that will land heads up is 15 cents? Give your answer as a decimal.
A certain truck takes 10 trips to transport 2,000 cartons from warehouse A to warehouse B. For each trip except the 10th trip, the truck is loaded to its full carrying capacity of x cartons. On the 10th trip, the truck is loaded with the remaining cartons. Quantity A x Quantity B 210
If the median of 15 consecutive even integers is m, what is the greatest integer of the 15 numbers?
$$b \lt 0$$ Quantity A \|$$-b^{3}$$\| Quantity B $$-b^{3}$$
In a certain club, 40 percent of the members are less than 25 years old and 66 percent of the members are less than 35 years old. Approximately what fraction of the members of the club are at least 25 years old but less than 35 years old?
1 < 2x+1 < 3 Quantity A ($$x^{2}$$-5)-(x-5) Quantity B 0
$$\sqrt{500}$$=k$$\sqrt{m}$$, where k and m are positive integers. What is the greatest possible value of (m+k)?
Lines k and l lie in the xy-plane and are parallel. Quantity A a Quantity B b
In plane P, point Q is on line l. Quantity A The number of points in plane P whose distance from line l is 2 and whose distance from point Q is 3 Quantity B 4
The figure shows two congruent circles with centers $$P$$ and $$Q$$. If $$RP=QS=1$$ and $$XY=8$$, what is the distance between centers $$P$$ and $$Q$$?
Square BDFG is inscribed in isosceles triangle ACE. If the area of triangular region ACE is 1, what is the area of triangular region BCD?
According to the table, the percent of households in 1980 with neither a microwave oven nor a central air conditioner must be in which of the following inclusive intervals?