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In the figure shown, a square is inscribed in a circle, which is inscribed in a square.

Quantity A

The total area of the regions shaded black

Quantity B

The total area of the regions shaded gray


In the following figure, quadrilateral BCDE is inscribed in a circle.



The degree measure of angle BCD is twice the degree measure of angle EBC, and the degree measure of angle CDE is twice the degree measure of angle DEB. What is the degree measure of angle EBC?
Everyday Dana attempts to telephone Carla once, and each time she telephones the probability is $$\frac{1}{3}$$ that she will get a busy signal. Whether Dana gets a busy signal on any attempt is independent of whether she gets a busy signal on any other attempt.

Quantity A

The probability that Dana will not get a busy signal in each of 4 different attempts to telephone Carla

Quantity B

$$\frac{1}{4}$$


Quantity A

The number of positive integers less than 50 that are the product of 2 different prime numbers greater than 2

Quantity B

5


On a radio call-in show, the 6th caller and every 6th caller thereafter were given a T-shirt. Also, the 15th caller and every 15th caller thereafter were given movie tickets. A total of 78 people called the show, all at different times. How many of the callers were given neither a T-shirt nor movie tickets?

_____callers
Jessica`s car is one of the 6 cars in an auto repair shop. Only 3 of the 6 cars will be repaired today, and each of the 6 cars is equally likely to be one of the 3 cars that will be repaired.

Quantity A

The probability that Jessica`s car will be repaired today

Quantity B

$$\frac{1}{3}$$


$$0 < x < y$$

$$Rx+y < 0$$

Quantity A

$$x-y$$

Quantity B

$$R$$




In the figure, an equilateral polygon with 12 sides is inscribed in a circle. What is the measure, in degrees, of each of the angles of the polygon?


Each of 50 students took a 40-question quiz, and each student's raw score on the quiz was the number of questions answered correctly. The box plot above summarizes the 50 raw scores. In order to report scores on a scale for which the maximum score is 100, the reported score for each student was 20 more than twice the raw score. What is the interquartile range of the 50 reported scores?
What is the least positive integer $$b$$ such that the equation $$x^2+bx+18=0$$ has two integer solutions for $$x$$?

$$b$$=_____
$$(x^2+4x+3)(x^2-4x+4)=0$$

Quantity A

The number of different values of $$x$$ that satisfy the equation

Quantity B

3


Quantity A

The number of real roots of $$2x- \frac{4}{7}$$=0

Quantity B

The number of real roots of $$2x^2 + \frac{4}{7}$$=0




Points P, R, and S are on the circle with cener O. The measure of angle ROS is 92°.

Quantity A

x

Quantity B

y


$$0 < a < b < c$$

The average of $$a$$, $$b$$, and $$c$$ is $$b$$.

Quantity A

The average (arithmetic mean) of $$a^2$$, $$b^2$$ and $$c^2$$

Quantity B

The median of $$a^2$$, $$b^2$$ and $$c^2$$


Quantity A

The area of a triangle with a perimeter of 40 and a side whose length is 12

Quantity B

72




0 < $$x$$ < 90

Quantity A

$$y$$

Quantity B

5


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