GRE考满分·题库

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题目内容
A bag contains 12 marbles: 5 of the marbles are red, 3 are green, and the rest are blue.

Quantity A

The probability of consecutively choosing two red marbles and a green marble without replacement

Quantity B

The probability of consecutively choosing a red and two blue marbles with ?replacement
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47, inclusive, what is the least possible value of $$(p–7)^2$$ =_____
Water flows into a 25-liter bucket through a hose and out through a hole in the bottom of the bucket. The rate of flow through the hose is 1 liter per minute. If the bucket is filled to capacity in 40 minutes, at what rate, in liters per minute, was water flowing out of the bucket through the hole?
A pair of dice is tossed twice. What is the probability that the first toss gives a total of either 7 or 11 and the second toss gives a total of 7 ?
A photocopier can copy r pages per hour. How many pages can it copy in s seconds?

Quantity A

The average (arithmetic mean) cost per hinge for 16 hinges that

Quantity B

The average (arithmetic mean) cost per hinge for 4 hinges that cost a total of $$\frac{p}{2}$$ cents
In both rural and urban areas of country G, the average annual number of holidays taken by citizens is 8, and the annual number of holidays follows a normal distribution. In rural areas, 2% of the citizens take more than 12 holidays per year. In urban areas, 2% of the citizens take more than 16 holidays per year. How much greater is the standard deviation of the annual number of holidays taken by urban citizens than that of rural citizens?_____
Three dice are rolled simultaneously. What is the probability that exactly two of the dice will come up as the same number?
There are 32 students in Jamie`s eighth-grade class. Each student took a 50-point test; the class average (arithmetic mean) was 82% correct. The teacher has assigned one 4-point, extra-credit question. How many students will need to answer the extra-credit question correctly in order to bring the class average to 86% correct?
Vinay and Phil are driving in separate cars to Los Angeles, both leaving from the same place and traveling along the same route. If Vinay leaves at 1 a.m. and travels at 40 miles per hour, and Phil leaves at 5 a.m. and travels at 50 miles per hour, at what time does Phil catch up to Vinay?
A set of six numbers consists of x, x + 3, x + 5, x + 7, x + 11, and x + 13. What is the median of this set, in terms of x ?
Damon rolls three six-sided dice. What is the probability that his total will be greater than 16 ?_____
John will spend the summer in one of the houses either on Surf Street or Breaker Way. Surf Street has 1 landside house and 4 beachside houses, and Breaker Way has 1 beachside house and 2 landside houses. A sea turtle randomly lays eggs in front of a beachside house on Surf Street, and another sea turtle randomly lays eggs in front of a beachside house on Breaker Way. What are the probabilities that a sea turtle lays its eggs in front of John`s house, depending on which street he lives on?
If x equals all prime numbers that satisfy the inequality$$\frac{1}{|10-x|}≤\frac{5}{x}^{2}$$ what is the average value of x ?_____/_____
Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21}In Set A above, if positive integer x is subtracted from the 3 largest numbers in the list and x is added to the 3 smallest even numbers in the list, which of the following will be true ?
Alejandra took five Spanish quizzes and scored a total of 227 points. Nigel took the same quizzes and scored a total of 189. What is the difference between Alejandra`s average score and Nigel`s average score?_____
Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?
There are 40 marbles in a jar. If $$\frac{1}{5}$$ of the marbles are blue, $$\frac{1}{4}$$ of the remaining marbles are red, and 10 marbles are green. If a marble is selected at random, then what is the probability that the marble will not be blue, red, or green?_____
During a sales contest at a local electronics store, 65 employees sold a total of $91,000 worth of merchandise. If the standard deviation of sales among those employees was $130 and the sales were normally distributed, what percentage of employees sold $1270 or more worth of merchandise?
On the most recent test in stats class, Jamal scored x points and Raya scored 73 points. If the average of Cliff and Raya`s scores is 79 points, and the average of Jamal and Cliff`s scores is 89, then x =_____

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