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题目内容
Among positive integers from 1 to 19, inclusive, what is the ratio of the number of the multiples of 3 to the number of the multiples of 4?

Give your answer as a fraction.
A certain desk calendar shows the number of the day of the year and the number of days remaining in the year. If the calendar shows for Saturday, January 1, what does the calendar show for the Tuesday that is 20 weeks after the first Tuesday in January?
What is the number of integers that can be divisible by both 3 and 4 from 100 to 1,000, inclusive?
What`s the number of integers that are neither multiple of 3 nor multiple of 7 from 1 to 1000, inclusive?
Set $$P$$ consists of all the integers from $$1$$ to $$100$$, inclusive. Which of the following sets contains the greatest number of integers?
A set consists of all three-digit positive integers with the following properties. Each integer is of the form JKL, where J, K, and L are digits; all the digits are nonzero; and the two-digit integers JK and KL are each divisible by 9. HOW many integers are in the set?
The number 24 has the property that it is divisible by its units digit, 4. How many of the integers between 10 and 70 are divisible by their respective units digits?
If $$x$$ and $$y$$ are positive integers and $$\frac{(8)(7)(6)(5)(4)(3)}{(2^{x})(3^{y})}$$is an integer, what is the greatest possible value of $$xy$$?
The integer N is greater than 1,000.

Quantity A

The remainder when N is divided by 3

Quantity B

The remainder when N is divided by 17
$$k$$ is an integer.

Quantity A

The remainder when $$k^{2}-k$$ is divided by $$2$$

Quantity B

$$0$$

Quantity A

The remainder when $$10^{8}$$+$$10^{9}$$+$$10^{10}$$+$$10^{11}$$ is divided by 11

Quantity B

0
n is a positive integer, and $$n^{2}$$ is divisible by 7.

Quantity A

The remainder when n is divided by 7

Quantity B

1
Both m and n are positive integers.

Quantity A

The remainder when (m+n) is divided by 2

Quantity B

The remainder when ($$m^{n}$$ is divided by 2
x < y, the remainder of x when divided by 9 is equal to the remainder of y when divided by 9.

Quantity A

The remainder when x is divided by 3

Quantity B

The remainder when y is divided by 3
The remainder is 30 when 6n is divided by 75, which of the following could be the remainder when 7n is divided by 75?

Indicate all such numbers.
n=4$$(x+20)^{2}$$-1, where x is a positive integer. Which of the following statements must be true?

Indicate all such statements.
What is the units digit of $$23^{21}$$-23?
What is the units digit of the positive difference between $$32^{19}$$ and 32?
What is the units digit of 5$$x^{3}$$, where x is a positive even integer?

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