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n is a positive integer, x = 7n + 2, and y = 6n + 3

Quantity A

The ones digit of x+y

Quantity B

5


$$x*$$ is defined as the 3-digit integer formed by reversing the digits of integer $$x$$; for instance, $$258*$$ is equal to $$852$$. $$R$$ is a 3-digit integer such that its units digit is $$2$$ greater than its hundreds digit.

Quantity A

$$R*-R$$

Quantity B

$$200$$


M and N are both positive integers

3M+4N=13

Quantity A

N

Quantity B

2


Each of the offices on the second floor of a certain building has a floor area of either 250 or 300 square feet. The total space of these offices is 5,750 square feet.

Quantity A

The number of these offices with floor areas of 250 square feet

Quantity B

The number of these offices with floor areas of 300 square feet


Rodrigo's locker number has 3 different digits, the sum of which is 12. The sum of any two digits in the number is less than 10, and the digits are in decreasing order from left to right. What is Rodrigo's locker number?
The 20 people at a party are divided into n mutually exclusive groups in such a way that the number of people in any group does not exceed the number in any other group by more than 1.

Quantity A

The value of n if at least one of the groups consists of 3 people

Quantity B

6


x and m are positive integers, x is odd, and $$x·2^{m}$$=160

Quantity A

x

Quantity B

m


The mean of four different integers is 32, while the least of them is 27. The largest possible integer among the list is?
In a list of ten positive integers, the same number could appear at most twice. If the sum of them is 101, then what is the greatest possible number in the list?
If N is an integer and 99 < $$N^{2}$$ < 200, then N could have at most how many values?
$$x^{2}y \gt 0$$, $$xy^{2}$$ \lt 0$$

Quantity A

$$x$$

Quantity B

$$y$$


If $$-1 \lt y \lt 0$$, which of the following must be true?
If a < b < 0, which of the following numbers must be positive?

Indicate all such numbers.
When selecting four different integers from -5 to 4, inclusive, what is the least possible product of these four integers?
r and t are consecutive integers and p=$$r^{2}$$+t

Quantity A

$$(-1)^{p}$$

Quantity B

-1


What is the sum of all the possible different 3-digit positive integers that can be formed using each of the digits 7, 8, and 9, without repetition?
The sum of three or more consecutive integers CANNOT be?

Quantity A

The number of two-digit positive integers for which the units digit is not equal to the tens digit

Quantity B

80


N=11121314................50

The integer N is formed by writing the consecutive integers from 11 through 50, from left to right.

Quantity A

The $$26^{th}$$ digit of N from left to right

Quantity B

The $$45^{th}$$ digit of N from left to right


A person counts positive integers from 1 to X. Which of the following statements could determine X?

Indicate all that is/are true.

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