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If even integer $$x$$ is divisible by positive odd integer y, then $$x^2$$ must be divisible by
If $$n$$ is an integer, then $$n^3-n$$ must be divisible by which of the following?
When the positive integer n is divided by 5, the remainder is 3.

Quantity A

The remainder when 2n is divided by 10

Quantity B

$$6$$


If n acres of land can be irrigated with g gallons of water, how many acres of land can be irrigated at this rate with 1,000 gallons of water?


On the number line, point $$A$$ has coordinate $$y$$ and point $$B$$ (not shown) has coordinate $$x$$. The distance between $$A$$ and $$B$$ is equal to $$y^2$$.

Quantity A

$$x$$

Quantity B

$$0$$


Quantity A

The number of even integers n such that $$|n-30| \lt 6$$

Quantity B

$$5$$


A local store combined two consecutive discounts into a single discount. If the two consecutive discounts were 20 percent off the retail price and then 40 percent off the discounted price, what is the single discount off the retail price that is equivalent to the two consecutive discounts?
A large cube and a small cube are made of granite of uniform density. The large cube has edges of length 1.2 meters and weighs 4,752 kilograms. If the small cube has edges of length 10 centimeters, what is the weight, in grams, of the small cube?
$$\frac{4(10^{-1})+3(10^{-2})+6(10^{-3})}{0.00436}=$$
If $$-1 \lt x \lt 0$$, which of the following inequalities must be true?
The cost to rent a car from Agency $$B$$ is $4.00 a day plus $0.15 per mile driven, and the cost to rent a car from Agency $$C$$ is $20.00 a day plus $0.05 per mile driven. A car is to be rented for one day and driven x miles. If the cost of renting the car from Agency $$B$$ will be less than the cost of renting the car from Agency $$C$$, which of the following could be the value of $$x$$? Indicate all such values.
In the $$xy$$ -plane, line k has a positive $$x$$ -intercept and a slope of $$2$$. Which of the following equations represents a line that intersects line k at a point above the x-axis?

Quantity A

$$PR$$

Quantity B

$$2(ST)+RS$$


Quantity A

$$\frac{AB}{AC}$$

Quantity B

$$2\sqrt{2}$$


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