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题目内容
Thirty percent of the members of Group G are also members of Group H. Twenty percent of the members of Group H are also members of Group G.

Quantity A

The total number of members of Group G

Quantity B

The total number of members of Group H
At a convention, 30 percent of the attendees are vegetarians, and of those vegetarians, 55 percent are male.

Quantity A

The percent of the attendees who are not male and not vegetarians

Quantity B

25%
In a water tank of 72 fishes, $$\frac{1}{3}$$ are blackfin, $$\frac{2}{3}$$ are whitefin. $$\frac{1}{2}$$ have orange dots, while the rest $$\frac{1}{2}$$ have brown dots. If $$\frac{2}{3}$$ of whitefin have brown dots, then how many fishes in the water tank are orange-dotted blackfins?
In a survey of educators. 40 percent reported that they used the Internet for research. Also in the survey, 65 percent reported that they used the Internet for E-mail.

Quantity A

The percent of the educators surveyed who reported that they used the Internet for both research and E-mail

Quantity B

26%


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?
In an election, voters can vote for as many candidates as they wish. The percent of votes each candidate wins is listed as follows.



Quantity A

The percentage of votes candidate A or candidate B or both of them win

Quantity B

80%


A restaurant made 200 pizzas, some of which has no toppings, while the others had at least one of three toppings-mushrooms, onions, and peppers-as summarized in the table above. No pizza had all three toppings. How many of the pizzas had no toppings?
Three students need to read 50 proposals. Each proposal has to be read by at least one student. Student A read 38 of them, Student B read 36 of them, while Student C read 28 of them. At least how many proposals are read by at least two students?
n is a positive number

Quantity A

The sum of all the consecutive integers from n to (n+10), inclusive

Quantity B

11n
In a sequence, each term is equal the preceding term plus a constant x, a5 = 11, a8 = 19, what is the value of x?

Give your answer as a fraction.
First step is to draw a square whose side is 1cm. Second step is to draw a square whose side is 3cm. Third step is to draw a square whose side is 5cm. If we draw squares so on and so forth following the above rule, at which step will be taken to draw a square whose side is 47 cm?
In a sequence of numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4 ......., n occurs n times for 1 ≤ n ≤ 25. For the first 300 numbers in the sequence, what is the least n that is greater than at least 25% of the first 300 numbers in the sequence?
X is the sum of all integers from 1 to 100, inclusive. Y is the sum of all the odd integers from 1 to 199, inclusive. What is the value of Y – X ?
The sum of the first n positive integers can be found using the formula $$\frac{n(n+1)}{2}$$.

The sum of the first n positive odd integers can be found using the formula $$(\frac{s}{2})^2$$, where s is the sum of the first and last odd integer.

If $$x$$ is equal to the sum of the integers from 1 to 100, and if $$y$$ is equal to $$\frac{1}{2}$$ of the sum of the odd integers from 1 to 199, what is the value of $$x-y$$?
During a 7-day period, a plant's height increased half as much each day as it did the day before. What is the ratio of the plant's increase in height on day 4 to its increase in height on day 7?
$$C_1$$, $$C_2$$, $$C_3$$, ......,$$C_K$$, ......

The sequence shown above is defined by $$C_1$$=7 and $$C_{K+1}$$= $$\frac{1}{7}$$ $$C_K$$, for each positive integer k

Quantity A

$$C_{12}$$

Quantity B

($$49^{7}$$)$$C_{26}$$
A ball drops from above to the ground and bounced back to $$\frac{1}{3}$$ of its original height. If the ball is at first 50 feet from the ground, then by how many times will the height of the ball drop below 1 feet?
-1, 2, -3, 4, ... , $$a_{n}$$, ................... , -99, 100

In the finite sequence, $$a_{n}$$=$$(-1)^{n}$$*n for all integers n between 1 and 100, inclusive.

Quantity A

The sum of the terms in the sequence

Quantity B

51
$$a_1$$, $$a_2$$, $$a_3$$,......,$$a_{150}$$

The $$n_{th}$$ term if the sequence shown is defined for each integer n from 1 to 150 as follows. If n is odd, then $$a_n$$=$$\frac{(n+1)}{2}$$, and if n is even, then $$a_{n}$$=$$(a_{n-1})^{2}$$. How many integers appear in the sequence twice?
If a sequence is defined by $$a_{n}=n(-1)^{n}$$ for all integers $$n$$ from 1 through 499, what is the sum of all the terms in the sequence?

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