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The volume of a rectangular solid is 60, and the area of one of its faces is 11.

Quantity A

The surface area of the solid

Quantity B

100


In the xy-plane, the points (-2, 3) and (6, -3) lie on a circle, and the line segment connecting the points is a diameter of the circle. What is the area of the circle?
Line segment AB is a diameter of a circle. If the coordinates of point A and point B are (0, 2) and (6, 0), respectively, then what is the area of the circle?
The function f is defined for all numbers x by f(x)=57$$x^{2}$$-kx+925, where k is a constant, and f(x)=f(-x) for all x.

Quantity A

k

Quantity B

0


In the xy-plane, a circle with radius $$4$$ has its center at the point $$(-1, 2)$$ Which of the following is an equation of the circle?


Quantity A

The length of line segment AB

Quantity B

The length of line segment DC




A thin metal plate in the shape of a parallelogram has an area of 80 square inches and is cut into two pieces using two cuts. Each cut is parallel to a side of the plate, as shown, and the ratio of the length of each cut to the length of the side of the plate to which the cut is parallel is 3 to 4. What is the area, in square inches, of the piece of the plate represented by the shaded region?


All angles in the figure above are right angles. What is the straight-line distance from point P to point Q?


Square BDFG is inscribed in isosceles triangle ACE. If the area of triangular region ACE is 1, what is the area of triangular region BCD?


The area of square region ABIH equals the area of square region JDEF. Quadrilateral BJFI is a parallelogram. The area of squared region ACEG is 9 times the area of square region ABIH.

Quantity A

The area of ABIH

Quantity B

The area of BJFI


Parallelogram ABCD has adjacent sides of length 10 and 16.

Quantity A

The area of the region enclosed by ABCD

Quantity B

155


Each side of square S has length 2. Five different points lie inside S but not on the sides of S.

Quantity A

The distance between the closest two points among the five points

Quantity B

$$\sqrt{2}$$


The circumference of a certain circular region is y.

Quantity A

The area of the circular region

Quantity B

$$\frac{y^{2}}{4}$$




The area of the shaded semicircular region is 64π.

Quantity A

The length of radius OR

Quantity B

10




In the figure above, BC is tangent to the circle with center O and radius 6. If BA=4, what is the area of the triangular region BCO?
A right circular cylinder with a volume of 16π is inscribed in a cube. What is the volume of the cube?
Approximately what percent of the families in the sample own more than 3 motor vehicles?
How many of the families own exactly 2 motor vehicles?
If a family were selected at random from the survey sample, what is the probability that the family would own more than 2 motor vehicles?
Of customers 4, 6, 8, 9 and 10, which one was served by the customer service representative who served customer 1?

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