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题目内容
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 probability that both events will occur?
If x and y are even integers and xy=-24, what is the greatest possible value of x+y?
$$x^{2}$$=4 and $$y^{2}$$=1

Quantity A

$$(x-y)^{2}$$

Quantity B

3


a and b are integers, and $$a^{2}$$+$$b^{2}$$=100.

Quantity A

a+b

Quantity B

10


In a certain sequence, each term after the first is equal to the preceding term multiplied by -$$\frac{1}{2}$$. If the 200th term is positive, which of the following statements must be true?

Indicate all such statements.
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?
xy ≠ 0 , x > y

Quantity A

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

Quantity B

$$\frac{1}{y}$$


x and y are positive numbers such that $$\frac{1}{x}+\frac{1}{y}=\frac{1}{4}$$ and x < 12.

Quantity A

y

Quantity B

8


a ≠ 0

Quantity A

a+1

Quantity B

$$\frac{1}{a}$$ - 1




A certain baker sent 280 loaves of bread to a grocery store. The baker packed the loaves in two types of boxes. The smaller type of box could hold up to 8 loaves, while the larger type of box could hold up to 12 loaves. When the baker sent the loaves, all the boxes were full and there were equal numbers of both types of boxes. What fraction of the loaves of bread sent to the grocery store were packed in the smaller boxes?
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?

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