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Quantity A

$$(2^{8})(3^{15})+(2^{8})(3^{15})$$

Quantity B

$$(6^{9})(3^{6})$$
In a certain survey, 40 percent of the people surveyed own at least one dog, 30 percent own at least one cat, and 40 percent own neither a dog nor a cat. Of those surveyed that own at least one dog, what percent also own at least one cat?
Square S is inscribed in circle C and circle R is inscribed in square S. What is the ratio of the area of the circular region C to the area of the circular region R?


In the cube shown above, the length of diagonal AB is 6. What is the surface area of the cube?
If $$x$$, $$y$$, and $$z$$ are consecutive positive integers and $$x \lt y \lt z$$, which of the following numbers must be even integers?

Indicate all such numbers.
From all the $10 games downloaded, 2 games are to be selected at random without replacement. Which of the following is closest to the probability that neither of the 2 games selected will be sports games?
A bag contains 8 pounds of nuts, and $$\frac{1}{3}$$ of the nuts, by weight, are walnuts. If 3 pounds of walnuts are added to the bag, what will be the fraction of the nuts in the bag, by weight, that are walnuts?
In a group of 10 people, the median height is 70 inches, the average(arithmetic mean) height is 70.5 inches, and the range of the heights is 12 inches. If an additional person who is 74 inches tall joins the group, which of the three statistics must change?
How many distinct solutions does the equation |1-|x-215||=1 have?


A large museum window is composed of 14 identical equilateral triangular glass sections, as represented in the figure shown. If the total area of the window is 19 square meters, which of the following is closest to the perimeter, in meters, of the window?
The circumference of circle C is equal to the perimeter of square S.

Quantity A

The ratio of the area enclosed by C to the area enclosed by S

Quantity B

1

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