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题目内容
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


p and r are primes greater than 3

Quantity A

The number of positive divisors of p$$r^{2}$$

Quantity B

The number of positive divisors of (p+3)(r+3)


n, s and t are all positive integers

If n is a multiple of 7 and n=$$s^{2}$$t,which of the following must be a multiple of 49?
Set S contains all integers from 100 to 200, exclusive.

Quantity A

The number of integers in set S that are multiples of 5 but not multiples of 4

Quantity B

15


Set S consists all the integers(between 1 and 1000 inclusive) that are divisible by 3, then how many integers in set S 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.
What's the number of n that are either multiples of 5 or multiples of 7 from 1 to 1000, inclusive?

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.
Which of the following must be a factor of the product of 5 consecutive positive integers?

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


A positive integer n divided by 3 has a remainder of 2, and 50 < n < 60, Which of the following could be the value of n?

Indicate all such values.
If n is an integer and 100 < n < 200, what is the number of n such that the remainder is 4 when n is divided by 9?
The remainder is 10 when (x + 11) is divided by 12 (where x is a positive integer)

Quantity A

x

Quantity B

11


x is a positive integer

Quantity A

The remainder when(x+1)(x+2)(x+3)is divided by 5

Quantity B

1


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