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In the xy-plane, what is the area of the quadrilateral region ABCD?


The perimeter of the rectangle in the figure above is 20 and its length and width are integers. Which of the following could be the area of the shaded region?


Square GBDF is inscribed in the isosceles right triangle ACE.

Quantity A

The area of triangular region ABG

Quantity B

$$\frac{1}{4}$$ of the area of triangular region ACE




In the figure above, the line segments represent paths in a garden and the dots represent benches. All of the paths allow two-way traffic except the path between the waterfall bench and the roses bench, which can be traveled only in the direction of the arrow. What is the greatest possible number of different routes from the entrance bench to the fountain bench along these paths that a visitor can travel without passing the same bench more than once?
Approximately what was the percent decrease from Monday to Friday in the daily number of calls received?
For the week shown, which of the following is closest to the average (arithmetic mean) number of calls received per day minus the median number of calls received per day?
If the business received calls of only two types on Saturday and if calls of one of the two types accounted for 25 percent of all the calls received on that day, which of the following could be the remaining type of call?

Indicate all such types of call.
$$t+4=m+7$$

Quantity A

$$t+9$$

Quantity B

$$m+13$$


$$x$$ is 140 percent of $$y$$.

$$x$$ is 70 percent of $$z$$.

Quantity A

$$z$$

Quantity B

$$2y$$


Quantity A

$$r+s$$

Quantity B

$$0$$


The integer $$n$$ is the product of four different prime numbers. If $$n$$ divided by 35 is a multiple of 13, which of the following could be equal to $$n$$ divided by 7?
The integer $$t$$ is the product of four different prime numbers. If $$t$$ divided by 35 is a multiple of 11, which of the following could be equal to $$t$$ divided by
$$\frac{n}{390}$$ is a prime number less than 12, and one of the prime factors of $$n$$ is not a prime factor of 390.

Quantity A

$$n$$

Quantity B

$$3,000$$


The integer $$t$$ is the product of four different prime numbers. If $$t$$ is divided by 6 is a multiple of 7, which of the following could be equal to $$t$$ divided by 2?
The integer $$m$$ is the product of four different prime numbers. If the result when $$m$$ is divided by 35 is a multiple of 11, which of the following could be the result when $$m$$ divided by 7?
The integer $$n$$ is the product of four different prime numbers. If $$n$$ divided by 77 is a multiple of 13, which of the following could be equal to $$n$$ divided by 11?
Of the 29 students in a class, 15 students study French, fewer than 16 students study Spanish, and 5 students study neither French nor Spanish. Which of the following could be the number of students in the class who study both French and Spanish?

Indicate all such numbers.
The prizes for a certain contest are in 5 sealed envelopes: 2 containing cash and the other 3 containing gift certificates. If 2 envelopes are to be randomly selected from the 5 envelopes, one at a time without replacement, what is the probability that at least one of the envelopes selected will contain a cash prize?


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?

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