#### 题目列表

Which of the following numbers satisfy their sum of reciprocals is either less than $\frac{1}{3}$ or greater than $\frac{1}{2}$ ?

Indicate all such numbers.
x≠0, y≠0

|x|+|y|=|x+y|

Which of the following statements must be true?

Indicate all such statements.
Carolyn took out a one-year loan for $15,000 at 8 percent simple annual interest. She repaid the total amount, including the interest, by making 12 equal monthly payments on the last day of each month beginning in January. At the beginning of which of the following months did Carolyn have less than$10,000 of the total amount left to the repaid?

Indicate all such months.
There are n positive integers. The sum of the numbers is greater than 48, while the arithmetic average of the numbers is 1.2. What is the least value of n?
If 1 < r < s < t, which of the following is closest to the product of r, s and t?
x≠0

#### Quantity A

$ax^{4}$

#### Quantity B

$(ax)^{4}$

If x ≥ 0, y ≥ 0, and $x^{2}$+$y^{2}$=1, which of the following statements must be true?

Indicate all such statements.
The ratio of the lengths of sides of a certain triangle is 3 : 5 : 7.

#### Quantity A

Degree of the greatest angle of this triangle

#### Quantity B

85°

The lengths of the sides of triangle RST are 3,4, and y. Which of the following inequalities specifies those values of y for which each angle measure of triangle RST is less than 90°?
d≠0

#### Quantity A

The area of a square region with sides of length d

#### Quantity B

The area of a circular region with diameter d

#### Quantity A

Range of 10 consecutive integers

#### Quantity B

10

x and y are integers. 4 ≤ x < 7< y ≤ 12, whats the range of $(x-y)^{2}$?
In the sophomore class of a certain university, 85 percent of the students were taking English composition, 70 percent were taking biology, and 60 percent were taking both English composition and biology. What percent of the students in the class were taking neither English composition nor biology?
The number of elements in set A is 60 percent greater than the number of elements in set B, and the number of elements in the set A ∩ B is 15. If set B contains at least one element that is not in set A, what is the least possible number of elements in the set A U B?
30% of members in club R are also in club H and 20% of club H are also in club R.

#### Quantity A

The number of members in club H

#### Quantity B

The number of members in club R

$a_1, a_2, a_3,-..a_n,--.$

In the sequence shown, $a_1$=6

and for each integer n greater than 1, $a_n$ is defined by

If n is even, then $a_n$=2+$a_{n-1}$ (n≥2)

If n is odd, then $a_n$=-8+$a_{n-1}$ (n≥2)

What is the value of $a_7$?
If $a_1$=2, $a_2$=3, $a_n$=$a_{n-1}$*$a_{n-2}$(n≥3),then $a_8$ is?
How many positive factors of 210 can be expressed as the product of two prime numbers?
How many integers between 100 and 1,000 are multiples of 7?
A pump delivered water to fill an empty swimming pool. The pump delivered the water at a constant rate of 450 liters per minute until the pool was $\frac{1}{2}$ full. Then the pump became partially clogged and delivered the water at a slower constant rate until the pool was full. For the whole time during which the pump delivered water to fill the empty pool, its average rate was 360 liters per minute. What was the pumps slower constant rate, in liters per minute?

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