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题目内容
The average (arithmetic mean) of 14 different positive integers in a set is 14. What is the greatest possible integer in any such set?
There are n positive integers. The sum of the numbers is greater than 50, while the arithmetic average of the numbers is 2.5. What is the least value of n?
If 15 percent of the students in a class are 16 years old or older, what is the least possible number of students in the class?
The ratio of the number of female members of a club to the number of all members of the club is 4 to 7. Which of the following could be the number of male members of the club?

Indicate all such numbers.
If k is an integer and 121 < $$k^{2}$$ < 225, then k can have at most how many values?
Both x and y are integers, and 1 < -x < 4, 2 < y < 5. What is the least possible value of xy?
$$x^4y^3z^2 \lt 0$$

Quantity A

$$xyz$$

Quantity B

$$0$$
$$n$$ is an integer and $$5n−1$$ is a positive even integer

Quantity A

$$(-1)^{n+1}$$

Quantity B

1
For all positive integer $$n$$, the function $$f$$ is defined by the equation $$f(n)= \frac{n(n+1)}{2}$$

$$m$$ is a positive integer

Quantity A

$$(-1)^{f(4m+1)}$$

Quantity B

$$(-1)^{f(4m+2)}$$
A set consists of $$k$$ consecutive integers, including $$2$$. The sum of the integers in the set is $$-11$$.

Quantity A

$$k$$

Quantity B

$$10$$
70 is the median in a list formed by 77 consecutive integers. What is the smallest integer in the list?
Among 25 consecutive integers, the median is 3 times the value of the least of them. What is the greatest integer among them?
$$x$$ and $$y$$ are integers, and $$x \lt y-4$$

Quantity A

The number of even integers between $$x$$ and $$y$$

Quantity B

The number of odd integers between $$x$$ and $$y$$
For which of the following integer, the number of its even divisors is greater than that of its odd divisor?
w, x, y and z are integers and 1 < w < x < y < z, w·x·y·z=210

Quantity A

w+z

Quantity B

10
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?

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