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题目内容
If the average (arithmetic mean) of the integers from $$1$$ to $$n$$, inclusive, is equal to $$17$$, what is the value of $$n$$?
In a company, $$\frac{2}{3}$$ of the employees are women and $$\frac{1}{2}$$ of the employees are college graduates.

Quantity A

The fraction of the employees in the company who are women college graduate

Quantity B

$$\frac{1}{6}$$
Let $$s$$ be the sum of the first $$500$$ positive integers. What is the value of $$2s+501$$?
If $$90$$ percent of $$x$$ equal $$72$$ percent of $$y$$, then $$y$$ is what percent greater than $$x$$?
$$n$$ is an integer.

Quantity A

$$\frac{1}{2^n}$$

Quantity B

$$\frac{1}{3^n}$$

Quantity A

The sum of the integers from $$29$$ through $$89$$

Quantity B

The sum of the integers from $$32$$ through $$90$$
If $$n$$ is an integer greater than or equal to $$0$$, what is the remainder when $$7^{4n+3}+2$$ is divided by 10?
The length of a diagonal of a certain rectangle is less than $$10$$.

Quantity A

The area of the rectangular region

Quantity B

$$50$$


Quantity A

The length of $$DE$$

Quantity B

$$34$$


$$O$$ is the center of the circle and the circle has radius $$2$$.

Quantity A

The area of the shaded region

Quantity B

$$2$$
A string of length $$n$$ inches was cut into equal pieces of length $$\frac{3}{2}$$inches, and no string remained after the cutting was completed. If $$n$$ is a positive integer, what is the least possible value of $$n$$?
The average freshwater supply per person for the United States is projected to decrease $$20$$ percent from 1997 to 2025. Based on the data, which of the following was closest to the average freshwater supply per person for the United States in 1997, in cubic meters?
The average amount of freshwater required per person per year is $$1,700$$ cubic meters. According to the projections, in the year 2025 China will have a freshwater supply of how many millions of cubic meters above the amount required?
If the countries shown are ordered, from least to greatest, by the amount of their total projected freshwater supply for 2025, which of the following represents the country with the least amount followed by the country with the greatest amount?
At a certain candy store, the price of a box of taffy is $$ $6$$ and the price of a box of chocolates is $$ $9$$. The store sells $$x$$ boxes of taffy and $$y$$ boxes of chocolates for a total price of $$ $360$$. Which of the following statements must be true?
Indicate all such statements.
$$5t$$ is a negative integer.

Quantity A

$$5t+4$$

Quantity B

$$0$$
If $$-8 \leq h \leq 10$$ and $$h+m=-4$$, what is the least possible value of $$m-h$$？
When the positive integer $$x$$ is divided by $$42$$, the remainder is $$19$$. What is the remainder when x is divided by $$7$$?
$$m$$,$$n$$, $$q$$, and $$r$$ are positive integer such that $$m=nq+r$$ and $$r \lt n$$.

Quantity A

The greatest integer less than $$\frac{m}{n}$$

Quantity B

$$q$$

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