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题目内容
In a pile of books, $$\frac{1}{3}$$ are biography books, $$\frac{1}{4}$$ are chemistry books, while another $$\frac{1}{5}$$are math books. What ratio of all books are books other than the three subjects of books listed above?

Give your answer as a fraction.
If ($$\frac{3}{5}$$)x-($$\frac{1}{3}$$)x=$$\frac{2}{15}$$, then $$\frac{1}{x}$$=?
$$n$$ is a positive integer

Quantity A

$$\frac{n+2}{n+1}$$ - $$\frac{n+1}{n}$$

Quantity B

0
The function f is defined by f(n)= $$\frac{2n-1}{2n+1}$$for all positive integers n. What is the least positive integer m for which the product (f(1))(f(2))......(f(m)) is less than or equal to $$\frac{1}{15}$$?
If $$\frac{x^{2}-16}{x^{2}+6x+8}$$=y, and x > -2, which of the following is an expression for x in terms of y?
List L consists of the numbers $$\frac{m+1}{m}$$ for all integers m from 1 to 100, inclusive.

Quantity A

The sum of all the numbers in list L

Quantity B

101
If $$y=1-\frac{1}{x}$$, where $$x$$ is a nonzero integer, which of the following could be the value of $$y$$?

Indicate all such values.
x ≠ -1 and x ≠ 0

Quantity A

$$\frac{1}{1+\frac{1}{x}}$$

Quantity B

$$\frac{x}{x+1}$$
The reciprocal of n equals 8 times the square of n.

Quantity A

$$\frac{1}{n}$$

Quantity B

2
p > 1

Which of the following could be the value of $$\frac{p}{p+1}$$?

Indicate all such values.
|x| ≤ 6 and |y| ≤ 4

x and y are integers, where x≠0. M is the greatest possible value of |$$\frac{y}{x}$$|.

Quantity A

M

Quantity B

1
$$x$$ and $$y$$ are both integers

$$2 \leq x \lt y \leq 7$$,what is the least possible value of $$\frac{x+y}{xy}$$?

Give your answer as a fraction.
x and y are both integers

2 ≤ x < y < 7

What is the maximum value of $$\frac{x+y}{xy}$$?
$$a$$ and $$b$$ are positive integers and $$a \lt b$$.

Quantity A

$$\frac{1}{\frac{1}{a}+\frac{1}{15}+\frac{1}{14}+\frac{1}{13}+\frac{1}{12}}$$

Quantity B

$$\frac{1}{\frac{1}{b}+\frac{1}{15}+\frac{1}{14}+\frac{1}{13}+\frac{1}{12}}$$
For integers x, y, and z, where 1 ≤ x < y < z ≤ 10, what is the least possible value of the expression $$\frac{x-y}{z}$$?

Give your answer as a fraction.
Each of the 1,800 households that participated in a survey owned either one car, two cars, or no cars. If 740 of the households owned only one car and at least $$\frac{1}{3}$$ of the households owned two cars, what is the greatest possible value of the ratio of the number of households that owned no cars to the number of households that owned two cars?

Give your answer as a fraction.
|x| ≤ 6 and |y| ≤ 4

x and y are integers, where x≠0. M is the greatest possible value of |$$\frac{y}{x}$$|.

Quantity A:M

Quantity B:1
$$x^{-1}$$$$y^{-1}$$>0

Quantity A:$$\frac{x^{-1}}{y^{-1}}$$

Quantity B:$$\frac{x}{y}$$
$$\frac{a+1}{b-1}$$=$$\frac{5}{7}$$

Quantity A

$$\frac{a}{b}$$

Quantity B

$$\frac{1}{2}$$
If k and n are each positive integers between 12 and 30, then $$\frac{5+k}{7+n}$$will be equal to $$\frac{5}{7}$$for how many pairs of (k, n)?

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