#### 题目列表

For 7 soccer ball teams, each of them has to play with all the other teams. However, to decide which team wins, every two teams have to play 3 rounds and the team that win for the most times will ultimately win. How many rounds of game do all teams have to play in total?
n is a positive integer.

#### Quantity A

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

#### Quantity B

$3(\frac{1}{4^{n}})$

What is the value of $\frac{51!-50!}{50!-49!}$?

How many positive divisors of 210 can be expressed as a product of two prime factors?
If the probability that event R will occur is 0.75, and the probability that event M will occur is 0.58, which of the following is equal to the maximum possibility that both events will occur?
n=12!

Which of the following is a factor of n?
If T=$2ab^{2}$, a and b are different prime numbers, how many positive factors does T have?

Indicate all such numbers.
If T=$2^{2}·5·7^{2}·9^{2}$, how many positive factors does T have?
What`s the remainder when $3^{82}$ is divided by 5?
In a game, the cards in a certain deck are distributed to players one at a time until each player has the same number of cards and there are not enough cards left in the deck to distribute one more card to each player. The number of cards in the deck is between 60 and 100. If the cards in the deck are distributed to 5 players, 2 cards will be left in the deck. If the cards in the deck are distributed to 6 players, 4 cards will be left. If the cards in the deck are distributed to 7 players, how many cards will be left in the deck?
What is the length of an edge of the smallest solid cube that can be made by placing together solid rectangular blocks of size 7 by 6 by 3?
On a construction map of a certain college campus, $\frac{1}{3}$ of the area of the campus is marked by landscaping. Of the part of the campus that is not marked by landscaping, $\frac{1}{8}$ of the area is marked for gym buildings. What fraction of the area of the campus is not marked for either landscaping or gym buildings?
What's the nearest value of $\frac{0.888888^{27}*0.333333^{6}}{0.592592^{20}*0.444444}$ ?
What's the nearest value of $\frac{0.16667*0.8333*0.33333}{0.22222*0.66667*0.12500}$?
Ix-2I > y

IxI

y

x-y > 0

|x|-|y|

0

6 ≤ x ≤ 7

-1 ≤ y ≤ 5

#### Quantity A

The greatest possible value of $\frac{5}{|x-y|}$

#### Quantity B

5

The cost to rent a motorbike from a rental shop is x dollars per hour for the first 3 hours and y dollars for each hour thereafter. Which of the following represents the total cost, in dollars, of renting a motorbike from this shop for an 8-hour period?
x-y > y

x-y < x

x

y

r > 0

#### Quantity A

The area of a circular region with radius $r$

#### Quantity B

The area of a circular region with radius $r^{2}$

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