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A restaurant has a total of 16 tables, each of which can seat a maximum of 4 people. If 50 people were sitting at the tables in the restaurant, with no tables empty, what is the greatest possible number of tables that could be occupied by just 1 person?
The sum of three different positive integers is 11.

Which two of the following statements together provide sufficient information to determine the three integers?

Indicate two such statements.
At a toy sale, each toy was sold for either $2 or $3. If a customer bought toys of $15 at the sale, which of the following could have been the total number of toys that the customer bought?

Indicate all such values.


If a person hits the shaded area, he or she could get 3 points; however, if a person hits the smaller circle, he or she could get p points. If Mark gets 47 points in total, then what`s the possible values of p?

Indicate all such values.
A customer ordered 391 identical handbags and must choose a shipping plan. The shipper will use any combination of containers of sizes that each hold up to 20 handbags, up to 12 handbags, and up to 5 handbags. The shipping costs for these container sizes are $3, $2, and $1, respectively. At most one of the containers will be shipped holding less than the maximum number of handbags for that container. For the total shipping cost, the cost of using only the containers that hold up to 5 handbags is how much greater than the least possible cost?
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


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