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题目内容
If x+y=8x+22, then which of the following statements must be true?

Indicate all such statements.
Among all the positive integers in 1-100(inclusive).

Quantity A

The number of the odd integers that are perfect square

Quantity B

The number of the even integers that are perfect square
Which of the following statements are true for all integers a and b?

Indicate all such statements.
If $$x$$, $$y$$ and $$z$$ are consecutive positive integers and if $$x+y+z$$ is even, how many of the four integers $$xy$$, $$yz$$, $$zx$$, and $$xyz$$ are even?
x < 0

Quantity A

$$(x^{-1})^{-3}$$

Quantity B

$$x^{-4}$$

Quantity A

$$(-7)^{52}$$

Quantity B

$$(-7)^{81}$$
If -x < y < 0, which of the following statements is true about the three quantities $$(x+y)^{2}$$, $$y^{2}$$ - $$x^{2}$$, and $$x^{2}$$ - $$y^{2}$$ ?

Quantity A

$$(24-25)^{50}$$

Quantity B

$$(77-76)^{-1}$$
x and y are consecutive positive integers (x < y)

Quantity A

$$(-3)^{(x)^{2}}$$

Quantity B

$$(-3)^{(y)^{2}}$$
n is an integer

Quantity A

$$\frac{(-1)^{11n+7}}{(-1)^{5n-2}}$$

Quantity B

-1

Quantity A

The number of odd integers between $$\sqrt{12}$$ and $$12^{2}$$

Quantity B

70
The median of n consecutive odd integers is 0

Quantity A

The sum of these n integers

Quantity B

The sum of the least and the greatest number
If the least of 19 consecutive even integers is -14, then what is the median of these integers?

Quantity A

The number of positive integers between 0 and 10, inclusive

Quantity B

The number of odd integers between 10 and 30, inclusive
If the median of 15 consecutive even integers is m, what is the greatest integer of the 15 numbers?
X is the sum of all the even positive integers less than or equal to 50.

Y is the sum of all the odd positive integers less than or equal to 49.

Quantity A

X-Y

Quantity B

25
If k, n and p are consecutive positive even integers and k < n < p, which of the following must be an integer?
List K consists of 20 consecutive odd integers, list L consists of 20 consecutive even integers, and list M consists of 20 consecutive multiples of 3. The least integer in L is 9 greater than the greatest integer in K, and the greatest integer in L is 10 greater than the least integer in M.

Quantity A

The range of the integers in K and L combined

Quantity B

The range of the integers in L and M combined
Which of the following could be a factor of $$\frac{9!}{(6!)(3!)}$$?

Indicate all such numbers.
If $$2^{n}$$ is the highest power of 2 that is a divisor of the product ($$10^{2}$$) ($$12^{5}$$) ($$18^{6}$$), then n=

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