Official GRE Quantitative Reasoning s1

GRADUATE RECORD EXAMINATIONS®

Official GRE Quantitative Reasoning

Practice Questions, Volume 1

Chapter 7 – Mixed Practice Sets

Practice Set 3

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Chapter 7 - Mixed Practice Sets

Practice Set 3

This chapter contains three sets of practice questions. Each set has 25 questions, with a mixture of content and question types.

Practice Set 1

The questions for Practice Set 1 are in the document titled, “GRE Chapter 7 Set 1 Questions.doc.” The answer key and the explanations are in the separate document titled “GREChapter 7 Set 1 Answers and Explanations.doc.”

Practice Set 2

The questions for Practice Set 2 are in the document titled, “GRE Chapter 7 Set 2 Questions.doc.” The answer key and the explanations are in the separate document titled “GREChapter 7 Set 2 Answers and Explanations.doc.”

Practice Set 3

The questions for Practice Set 3 are in this document. The answer key and the explanations are in the separate document titled “GRE Chapter 7 Set 3 Answers and Explanations.doc.”

Each of the Practice Sets in this chapter has 25 questions which are arranged by question type: Quantitative Comparison questions, followed by both types of Multiple-choice questions, then by Numeric Entry questions, and ending with a Data Interpretation set. Review the answers and explanations carefully, paying particular attention to explanations for questions that you answered incorrectly.

Note that each set of 25 practice questions has about the same number of questions of each type as the individual Quantitative Reasoning sections in the paper-based GRE revised General Test, with 25 questions per 40-minute (Standard Time) section. Therefore, to help you gauge the timed aspect of the Quantitative Reasoning measure, it may be useful to set aside a 40-minute (Standard Time) block of time for each set of 25 questions.

Before answering the practice questions, read the Quantitative Reasoning section directions that begin on the next page. Also, review the directions that precede each question type to make sure you understand how to answer the questions.

Quantitative Reasoning Section Directions

Directions: For each question, indicate the best answer, using the directions given.

Notes: All numbers used are real numbers.

All figures are assumed to lie in a plane unless otherwise indicated.

Geometric figures, such as lines, circles, triangles, and quadrilaterals, are not necessarily drawn to scale. That is, you should not assume that quantities such as lengths and angle measures are as they appear in a figure. You should assume, however, that lines shown as straight are actually straight, points on a line are in the order shown, and more generally, all geometric objects are in the relative positions shown. For questions with geometric figures, you should base your answers on geometric reasoning, not on estimating or comparing quantities from how they are drawn in the geometric figure.

Coordinate systems, such as x y-planes and number lines, are drawn to scale; therefore, you can read, estimate, or compare quantities in such figures from how they are drawn in the coordinate system.

Graphical data presentations, such as bar graphs, circle graphs, and line graphs, are drawn to scale; therefore, you can read, estimate, or compare data values from how they are drawn in the graphical data presentation.

Quantitative Comparison Questions

For Questions 1 to 9, compare Quantity A and Quantity B, using the additional information given, if any. Select one of the following four answer choices.

A. Quantity A is greater.

B. Quantity B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

A symbol that appears more than once in a question has the same meaning throughout the question.

Example 1:

Quantity A: 2 times 6

Quantity B: 2+6

Solution: Quantity A is equal to 12 and Quantity B is equal to 8, so the correct answer for Example 1 is answer choice A, Quantity A is greater.

Example 2:

Refer to the figure.

Figure for Example 2

Begin skippable part of figure description.

The figure for example 2 shows triangle PQR where P is the leftmost vertex of the horizontal base PR and vertex Q is above PR. Point S lies on horizontal base PR and appears to be the midpoint of PR. Line segment QS is drawn from vertex Q to point S. The lengths of PS and SR appear to be equal.

End skippable part of figure description.

Quantity A: The length of PS

Quantity B: The length of SR

Solution: The correct answer for Example 2 is answer choice D. The relationship between the lengths of PS and SR cannot be determined from the information given since equal measures cannot be assumed, even though the lengths of PS and SR appear to be equal in the figure.

Question 1.

It is given that y is less than negative 6.

Figure for Practice Set 3 Question 6

Begin skippable part of figure description.

The figure shows the graph of a line segment in the x y-plane. The line segment extends from the origin O, downward and to the left, ending at the point with coordinates c comma d. The angle between the line segment and the part of the y-axis that is below the origin measures 44 degrees.

Quantity A: The length of a leg of an isosceles right triangle with area R

Quantity B: The length of a side of a square with area R

A. Quantity A is greater.

B. Quantity B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

From the answer choices given, select and indicate the one that describes the relationship between quantity A and quantity B.

Multiple-choice Questions—Select One Answer Choice

Question 10.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.

The relationship between temperature C, in degrees Celsius, and temperature F, in degrees Fahrenheit, is given by the formula F = 9 fifths, C, + 32. If a recipe calls for an oven temperature of 210 degrees Celsius, what is the oven temperature in degrees Fahrenheit?

A. 320

B. 350

C. 410

D. 420

E. 500

Select and indicate the best one of the answer choices given.

Question 11.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.

Of the students in a school, 20 percent are in the science club and 30 percent are in the band. If 25 percent of the students in the school are in the band but are not in the science club, what percent of the students who are in the science club are not in the band?

A. 5%

B. 20%

C. 25%

D. 60%

E. 75%

Select and indicate the best one of the answer choices given.

Question 12.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.

Each year, the members of a book club select novels and nonfiction books to read. The club meets 3 times to discuss each novel and 5 times to discuss each nonfiction book they select. Last year, the club met 52 times and discussed 12 books. How many novels did the club discuss last year?

A. 2

B. 4

C. 5

D. 7

E. 14

Select and indicate the best one of the answer choices given.

Question 13.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.

If negative 1 is less than x, which is less than y, which is less than 0, which of the following shows the expression x y, the expression x squared, y, and the expression x, y squared, listed in order from least to greatest?

A. the expression x y, followed by the expression x squared, y, followed by the expression x, y squared.

B. the expression x y, followed by the expression x, y squared, followed by the expression x squared, y.

C. the expression x, y squared, followed by the expression x y, followed by the expression x squared, y.

D. the expression x, y squared, followed by the expression x squared, y, followed by the expression x y.

E. the expression x squared, y, followed by the expression x, y squared, followed by the expression x y.

Select and indicate the best one of the answer choices given.

Question 14.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.

The 5 letters in the list G, H, I, J, K are to be rearranged so that G is the 3rd letter in the list and H is not next to G. How many such rearrangements are there?

A. 60

B. 36

C. 24

D. 12

E. 6

Select and indicate the best one of the answer choices given.

Question 15.

This question has five answer choices, labeled A through E. Select the best one of the answer choices given.

If j and k are even integers and j is less than k, which of the following equals the number of even integers that are greater than j and less than k?