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题目内容
The sum of n consecutive integers is 30

Quantity A

n

Quantity B

4
The average of n consecutive integers is 0

Quantity A

The sum of the greatest and least value of the n consecutive integers

Quantity B

The sum of all the n consecutive integers
If $$x$$ and $$y$$ are positive integers and $$xy=24$$，which of following statements must be true？

Indicate all such statements.
For all integers x and y, the operation Δ is defined as xΔ y =x if xy is even,and xΔy =y if xy is odd. What is the value of (-57Δ72)Δ(-81)?
Integer a is 125 more than integer b. which of the following statement must be true?

Indicate all such statements.
y=$$4x^{2}$$+5x+7 where y is an odd，which of the following is true about x？
Which of the following CANNOT be the value of k+$$k^{2}$$ where k is a positive integer?
m is a positive integer and 5m+9 is divisible by 4, which of the following must be an odd?

Indicate all such items.
X and y are both integers from 1 to 10,inclusive, and Set S consists of all the possible products of x*y.

Quantity A

The number of odd integers in Set S

Quantity B

The number of even integers in Set S
The median of 7 consecutive odd numbers in a certain list is 39. If the each of the numbers in the list were multiplied by -3, what would be the value of the least of the resulting 7 numbers?

Quantity A

Among all the consecutive integers from 1 to 50, the difference between the sum of all even numbers and the sum of all odd numbers

Quantity B

25
Which of the following CANNOT be the sum of six consecutive odd integers?
a and b are positive integers and ab=24

Quantity A

$$a^{2}$$b

Quantity B

192
A positive integer n is a factor of 200 but not a factor of 100. Also, 5 is a factor of n but 25 is not a factor of n. What is the value of n？
k is an odd integer greater than 100,d is a positive factor of k

Quantity A

d

Quantity B

$$\frac{k}{2}$$
If $$\frac{12!}{(2^{x})(3^{y})}$$ is an integer，what is the greatest possible value of x+y？
x is an integer greater than 3

Quantity A

The number of the positive even divisors of 2x

Quantity B

The number of the positive odd divisors of 3x
List A consists of 7 numbers with a median of 51,and List B consists of 9 numbers with a median of 53.

Quantity A

The median when List A and B are combined

Quantity B

52
If n is a positive integer,what is the total number of n so that 72/n is an integer as well?
$$p$$ and $$r$$ are different prime numbers greater than 3

Quantity A

The number of positive factors of $$pr^{2}$$

Quantity B

The number of positive factors of $$(p+3)(r+3)$$

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