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题目内容
Based on the information give, which of the following statements must be true?

Indicate all such statements.
In a poll of 200 people who answered either yes or no to each of two questions, 170 people answered yes to the first question and 10 people answered yes to the second question. Which of the following could be the number of people polled who answered no to both questions?

Indicate all such numbers.

Quantity A

5,555,555*777,777,777

Quantity B

7,777,777*555,555,555
What fraction of all the integers between 1 and 2,000, inclusive, are squares of an integer?

Give your answer as a fraction.
In the xy-plane, the point (t, t-1) lies on the line with equation y = $$ - \frac{1}{2}$$ x +$$\frac{1}{3}$$ . What is the value of t?

Give your answer as a fraction.
A rectangle with perimeter 60 has 2 sides of length 2x-8 and 2 sides of length x+2.

Quantity A

2x-8

Quantity B

x+2
m+n=3

Quantity A

m+5

Quantity B

8-n
x < y < 0

Quantity A

$$\frac{1}{2}(x+y)$$

Quantity B

$$\frac{1}{2}$$x + y
R is the remainder when a four-digit number is divided by a three-digit number.

Quantity A

R

Quantity B

10
The area of circular region $$C_1$$ is 4 times the area of circular region $$C_2$$.

Quantity A

The radius of $$C_1$$

Quantity B

Twice the radius of $$C_2$$
N=$$(11)^{3}(13)^{2}(15)$$

Quantity A

The greatest prime factor of N

Quantity B

15
The dollar value of a certain antique in 1980 was 20 percent greater than its dollar value in 1976. The dollar value of the antique in 1984 was 76 percent greater than its dollar value in 1976.

Quantity A

The percent increase in the dollar value of the antique from 1980 to 1984

Quantity B

56%
List A consists of r integers, and list B consists of t integers, where t= 3r. The average(arithmetic mean) of the integers in list A is 20, and the average of the integers in list B is 16.

Quantity A

The average of the r + t integers in lists A and B

Quantity B

17.5
If a+ b= c and b+ c = a, then b =
There are 6 colors available for painting a house. A combination for painting a house consists of one of the 6 colors for the trim of the house and one different color from the 6 colors for the rest of the house. How many different combinations for painting a house are available?
An alumnus contributed $50,000 to a university for research. The university deposited the money in a new account at an annual interest rate of 10 percent, compounded annually, for 2 years. If 60 percent of the interest earned from this account was then withdrawn, what was the total amount left in the account?
The ratio of the lengths of the sides of a triangle is 3 to 4 to 5. If the area of the region enclosed by the triangle is 54, what is the perimeter of the triangle?
If $$\frac{16+\frac{2}{3}}{2+\frac{1}{12}}=\frac{p+700}{p}$$, what is the value of p?

_____


Approximately what fraction of the total revenue from the sale of musical recordings was from the sale of either country or jazz recordings?


If $$\frac{1}{2}$$ of the revenue from the sale of jazz recordings was from the sale of vocal jazz recordings, then revenue from vocal jazz recordings was approximately what fraction of revenue from all vocal recordings?

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