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题目列表

题目内容
The average (arithmetic mean) of 5 consecutive even integers is 20.

Quantity A

The least of the 5 integers

Quantity B

16
A sequence of numbers $$p_1, p_2, p_3, .........., p_n,.........$$. is generated by the rules $$p_1=1$$ and $$p_n= 24p_{n-1}+8$$ for each integer $$n ≥ 2$$.

Quantity A

The remainder when $$p_{66}$$ is divided by 6

Quantity B

4
Set $$S$$ is the set of all numbers of the form $$\frac{1}{n(n+1)}$$, where n is a positive integer less than 4.

Quantity A

The sum of all the numbers in $$S$$

Quantity B

$$\frac{2}{3}$$
A certain type of code is a list of 4 identical asterisks and 2 identical dots in any order. For example, **•*•* is one such code.

Quantity A

The number of possible codes of this type

Quantity B

15
Each person who attended a seminar on politics was either a Democrat, a Republican, or an independent. If a person had been selected randomly from those attending the seminar, the probability would have been 0.52 of selecting a Republican and 0.35 of selecting a Democrat. What was the ratio of the number of independents to the number of Republicans at the seminar?
List K: 0, 2, 3, 5, 10

List M: 1, 6, 8, 9, 11

Quantity A

The standard deviation of the numbers in list K

Quantity B

The standard deviation of the numbers in list M
A number is to be selected from the set {1, 3, 5, 7, 9}, and a number is to be selected from the set {2, 4, 6, 8, 10}. P is the product of the two numbers selected.

Quantity A

The number of different possible values of P

Quantity B

25

Quantity A

The area of the region enclosed by the polygon

Quantity B

42x
-4 < $$x$$ < 2 and -2 < $$x$$ < 4

Quantity A

$$|x|$$

Quantity B

2
A tour group in an art museum consisted of 40 people, some of whom were art students. Of the art students who were in the tour group, 5 were studying sculpting and the rest were studying painting.

Which of the following statements individually provide(s) sufficient additional information to determine the number of art students who were in the tour group?

Indicate all such statements.
A train engine, traveling at a constant rate, passed Station A on its way to Station B. Thirty minutes after the engine passed Station A, it was 40 miles from Station B, and 45 minutes after it passed Station A, it was 23 miles from Station B, where these distances were measured along the train route between the two stations. How fast was the train engine traveling, in miles per hour?

_____miles per hour
Sixty-eight people are sitting in 20 cars, and each car contains at most 4 people. What is the maximum possible number of cars that could contain exactly 1 of 68 people?
11, 12, 13, 14, 15

Which of the following changes to the list of numbers above would increase the average (arithmetic mean) of the numbers but not affect their standard deviation?
$$2 < x < 5$$

Quantity A

$$x^2-7x+10$$

Quantity B

0
Last month a certain contractor received $350,000 for each home in a group of 8 homes sold. Additionally the contractor received a total of $2,150,000 for all 7 homes sold in another group of homes. For the 15 homes sold how much less was the average (arithmetic mean) selling price than the median selling price?

Quantity A

The greatest possible value of the product of two positive integers whose sum is 9

Quantity B

18
0 < x < 1

Quantity A

$$\frac{1}{x^2-x}$$

Quantity B

0
n is a positive integer.

Quantity A

$$(-1)^{2n}+(-1)^{2n-1}$$

Quantity B

0
$$0 < x^y < 1$$

$$y$$ is an integer

Quantity A

$$y$$

Quantity B

0

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