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If a rectangular room has length 20 meters, width 10 meters, and height 4 meters, then the volume of the room is how many cubic centimeters?
Human brains are amazing organs but they are not perfect. Cognitive biases, as we know, sometimes produce errors. Yet the term "error" could be (i)______________ in that it suggests that there might be (ii)_______________ way in which cognition should work. Such a binary opposition is (iii)_____________.
Which of the following assertions about readers can be inferred from the passage?
In a group of people, 30 people speak French, 40 speak Spanish, and $$\frac{1}{2}$$ of the people who speak Spanish do not speak French. If each person in the group speaks French, Spanish, or both, which of the following statements are true?

Indicate all such statements.
A certain rectangular painting is 1.5 feet high and 3 times as wide as it is high. The painting is to be framed by a wood frame that is 3 inches wide, as shown in the figure.



Which of the following is closest to the minimum number of feet of 3-inch-wide wood framing that will be needed to frame the painting? (1 foot = 12 inches)
$$a ≠ -2b$$

Quantity A

$$\frac{(a+b)^{2}-b^{2}}{a+2b}$$

Quantity B

$$a$$




The argument depends on the assumption that


Quantity A

r

Quantity B

12


$$T_1, T_2, T_3, ........., T_k, .........$$

The sequence shown is defined by $$T_1=2$$ and $$T_{k+1}=\frac{1}{3}T_k$$ for each positive integer k.

Quantity A

$$T_5$$

Quantity B

$$(3^{11}) T_{16}$$


Among 16 textbooks purchased by a bookstore, each textbook was either a mathematics textbook or a chemistry textbook, and each textbook was either new or used. Of the mathematics textbooks purchases, $$\frac{1}{2}$$ were used. Of the chemistry textbooks purchased, $$\frac{2}{3}$$ were used. Which of the following could be the total number of textbooks purchased that were used?

Indicate all such numbers.
If the population of the United Kingdom was 60 million in year X, which of the following is closest to the total number of Internet users in the United Kingdom in year X?


In the figure above, a quadrilateral is inscribed in a circle. Line segment AC (not shown) is a diameter of the circle. What is the value of x+y?

x+y=_____


ABDE is a rectangle.

Quantity A

The sum of the areas of triangular regions ABC and CDE

Quantity B

The area of triangular region ACE


A circular walkway with a uniform width and an inner diameter of 60 feet is to be built. If the length of the outer edge of the walkway must be between 100π feet and 200π feet, which of the following values could be the width, in feet, of the walkway?

Indicate all such values.
The area of square region S is equal to the area of circular region C.

Quantity A

The length of a diagonal of S

Quantity B

The length of a diameter of C


A wall in a museum is covered by 60 flat rectangular panels. If the dimensions of each panel are 4 feet by 7.5 feet, what is the total area, in square yards, of the panels? (Note: 1 yard=3 feet.)
$$\sqrt{x^{2}}$$=9

Quantity A

$$2^{x}$$

Quantity B

$$2^{-x}$$


$$x^{2}-y^{2}=-10$$

Quantity A

x+y

Quantity B

x-y




The volume of a red container is 3 times the volume of a green container. What fraction of the green container is equal to $$\frac{1}{12}$$ of the volume of the red container?


As part of a study, a restaurant recorded the number of people for each reservation at the restaurant last Saturday. The table above shows a frequency distribution of the results. What is the range of the numbers of people per reservation?

_____people per reservation

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