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题目内容
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 $$(p+3)(r+3)$$
If $$n$$ is a multiple of $$7$$ and $$n=s^2t$$，where $$s$$ and $$t$$ are each prime numbers, which of the following expressions must be a multiple of $$49$$？
How many integers are multiples of 2 or 3 from 1 to 603, inclusive? 
S is the set of all integers x such that 100 < x < 200.

Quantity A

The number of integers in S that are multiples of 5, but NOT multiples of 4

Quantity B

15
Set Q consists the integers from 1 to 1,000 that are divisible by 3. How many integers in Q are not divisible by 5?
If an integer is randomly selected from integers between 100 and 1000 inclusive, what's the probability that the number is divisible by 7?

Give your answer as a fraction.
The square of which of the following number is 4 more than a multiple of 5?

Indicate all such values.
What's the number of n that are either multiples of 5 or multiples of 7 from 1 to 1000, inclusive?
How many integers from 100 to 200,inclusive,are both odd number and multiple of 3?

Quantity A

The sum of the least and the greatest three-digit integer that can be divisible by 3

Quantity B

1100
Which of the following could be the value of $$x$$ to make sure that $$x^{3}-x$$ is divisible by 10?

Indicate all such values.
If x=$$10^{6}$$-1,which of the following is not the factor of x?
If $$p$$ is an odd integer,and if $$5$$ is a factor of $$p+p^{2}$$,which of the following might be the remainder when $$p$$ is divided by $$5$$？

Indicate all such numbers.
If the tens digit and units digit of a three-digit integer N is x and y, respectively, then (N-100x-y) must be a multiple of which of the following integers?

Indicate all such values.
The integer n is the product of five consecutive positive integers. Which of the following integers must be a factor of n?

Indicate all such numbers.
The remainder is 10 when the sum of a positive integer n and 11 is divided by 12.

Quantity A

n

Quantity B

11

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