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If the median of $$19$$ different integers is $$236$$, what is the least possible range of the integers?
$$x$$ is an integer

Quantity A

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

Quantity B

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


$$n$$ is a positive integer.

Quantity A

$$(-1)^{(2n-1)}$$

Quantity B

$$(-1)^{2(n-1)}$$


$$x$$ and $$y$$ are positive integers. One of these integers is odd and the other is even.

Quantity A

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

Quantity B

$$(-1)^y$$


$$x$$ is a prime number between $$1$$ and $$10$$, and $$y$$ is a prime number greater than $$10$$.

Quantity A

$$(-1)^{(x+y)}$$

Quantity B

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


Quantity A

$$(-2)^{14}(-3)^{15}$$

Quantity B

$$(-2)^{15}(-3)^{14}$$


Set $$X$$ consists of all integers of the form $$(-n)^{(50-n)}$$, where $$n$$ is an integer and $$1 \leq n \leq 50$$.

Quantity A

The number of positive integers in $$X$$

Quantity B

The number of negative integers in $$X$$


Which of the following numbers is positive?
$$n$$ is a positive odd integer.
$$a=\frac{n+1}{2}$$
$$b=\frac{n-1}{2}$$

Quantity A

$$(-2)^a$$

Quantity B

$$(-2)^b$$


$$x$$ is a negative integer.

Quantity A

$$(2x-1)^{2x-1}$$

Quantity B

$$0$$


$$1, 2, 3,……., r$$
$$1, 2, 3,……., r+1$$
The first sequence consists of $$r$$ consecutive integers, where $$r$$ is an even integer. The second sequence consists of $$r + 1$$ consecutive integers.

Quantity A

The percent of the integers in the first sequence that are even

Quantity B

The percent of the integers in the second sequence that are even


The least of five consecutive odd integers is $$x-3$$.

Quantity A

The greatest of the five integers

Quantity B

$$x+3$$


For each positive integer $$n$$, set $$A_n$$ consists of n consecutive even integers. What is the range of the integers in set $$A_100$$?

Quantity A

The range of nine consecutive odd integers

Quantity B

$$16$$


The positive integer $$x$$ is the product of $$3$$ different prime numbers.
The positive integer $$y$$ is the product of $$4$$ different prime numbers.

Quantity A

$$x$$

Quantity B

$$y$$


Two positive integers are twin primes if each is prime and their difference is $$2$$. Which of the following pairs of integers is NOT a pair of twin primes?

Quantity A

The greatest prime number that is less than $$91$$

Quantity B

The least prime number that is greater than $$84$$


A total of $$77$$ coins are to be divided equally among n people, where $$n \gt 1$$.

Quantity A

$$n^2$$

Quantity B

$$81$$


A total of $$143$$ players arrived on the first day of football practice. The coaches divided them into n groups, each with the same number of players, where $$n \gt 1$$.

Quantity A

$$n^2$$

Quantity B

$$125$$


$$N$$ is the least 3-digit positive integer for which the product of its digits is equal to $$24$$.

Quantity A

$$N$$

Quantity B

$$234$$


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