GRE 2024 Quantitative Reasoning Practice Test Set 1 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test Set 1 Question Paper with Solutions PDF is available for download. The overall test time is about 1 hour and 58 minutes. GRE has total 5 sections:

  • Analytical Writing  (One "Analyze an Issue" task, Alloted time 30 minutes)
  • Verbal Reasoning  (Two Sections, with 12 questions and 15 questions respectively)
  • Quantitative Reasoning (Two Sections, with 12 questions and 15 questions respectively)

GRE 2024 Qantitative Reasoning Practice Test Set 1 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Set 1 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test Set 1 Question Paper with Solutions PDF

Question 1:

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices:

A symbol that appears more than once in a question has the same meaning throughout the question.
\[ 10^x = 10,000,000,000 \]

  • (A) Quantity A is greater
  • (B) The relationship cannot be determined from the information given
  • (C) The two quantities are equal
  • (D) Quantity B is greater

Question 2:

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices:

A symbol that appears more than once in a question has the same meaning throughout the question.
\[ 10y + 20x = 50 \]

  • (A) Quantity A is greater
  • (B) The relationship cannot be determined from the information given
  • (C) The two quantities are equal
  • (D) Quantity B is greater

Question 3:

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices:

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

Figure is not drawn to scale

  • (A) The two quantities are equal
  • (B) Quantity B is greater
  • (C) Quantity A is greater
  • (D) The relationship cannot be determined from the information given

Question 4:

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices:

The following table displays the income Jane's business earned and the percentage of that income she paid in taxes for the first half of the year.

  • (A) The average of the income tax Jane paid
  • (B) 22% of Jane’s average income
  • (C) Quantity B is greater
  • (D) The two quantities are equal

Question 5:

If \( q \) is the smallest composite number greater than 2 and \( p \) is the smallest prime number less than 10, what is \( p \times q \)?

  • (A) 4
  • (B) 2
  • (C) 1
  • (D) 0.5

Question 6:

For which value of \( n \) is \( (1/2^n) > 1 \) true?

  • (A) \( n = 1/2 \)
  • (B) \( n = -1/2 \)
  • (C) \( n = \sqrt{2} \)
  • (D) \( n = 1 \)

Question 7:

Lines \( l \) and \( m \) are parallel. \( O \) is the center of the circle. The measure of angle \( d \) is \( 45^\circ \). The length of line \( RS \) is \( \frac{\sqrt{2}}{2} \). Line \( RS \) forms a right angle with line \( m \).
What is the measure of angle \( a \)?

  • (A) 45°
  • (B) 90°
  • (C) 60°
  • (D) 30°

Question 8:

Lines \( l \) and \( m \) are parallel. \( O \) is the center of the circle. The measure of angle \( d \) is \( 45^\circ \). The length of line \( RS \) is \( \frac{\sqrt{2}}{2} \). Line \( RS \) forms a right angle with line \( m \).
What is the length of line PR?

  • (A) \( \sqrt{2}/2 \)
  • (B) \( 2\sqrt{2} \)
  • (C) \( \sqrt{2} \)
  • (D) 1

Question 9:

Lines \( l \) and \( m \) are parallel. \( O \) is the center of the circle. The measure of angle \( d \) is \( 45^\circ \). The length of line \( RS \) is \( \frac{\sqrt{2}}{2} \). Line \( RS \) forms a right angle with line \( m \).
What is the diameter of circle O?

  • (A) 1
  • (B) \( \sqrt{2} \)
  • (C) \( 1\sqrt{2} \)
  • (D) \( \sqrt{2}/2 \)

Question 10:

Circle A represents students who major in liberal arts at a certain university. Circle B
represents students who major in the life sciences at that university, and circle C represents
engineering majors at the same university.What does \( A \cup B \) represent?

  • (A) Only life science students
  • (B) Only liberal arts students
  • (C) All liberal arts and life science students
  • (D) Only the subset of liberal arts and life science double-majors

Question 11:

Circle A represents students who major in liberal arts at a certain university. Circle B
represents students who major in the life sciences at that university, and circle C represents
engineering majors at the same university.What does \( A \cap B \) represent?

  • (A) Only life science students
  • (B) All liberal arts and life science students
  • (C) Only liberal arts students
  • (D) The subset of liberal arts and life science double-majors

Question 12:

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices:
\[ A \times B = (AB)^2 + (A + B)^2 \]

  • (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

Question 13:

The electrical engineering department at a certain graduate school in the United States (US) has a total of 36 students. The department has twice as many male students as female students and three times as many international students as students who are US citizens.

Quantity A: The number of students who are US citizens
Quantity B: The number of female students

  • (A) The relationship cannot be determined from the information given
  • (B) Quantity A is greater
  • (C) The two quantities are equal
  • (D) Quantity B is greater

Question 14:

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices:
R is the center of the circle below:

 


Quantity A: Half the circumference
Quantity B: The area of triangle QRS

  • (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

Question 15:

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices:

The graph below shows the gross domestic product (GDP) in trillions of US dollars for four countries between 2000 and 2008.

Quantity A: The combined GDP of Japan, China, and Canada in 2008

Quantity B: The GDP of the US in 2008

  • (A) Quantity A is greater
  • (B) The two quantities are equal
  • (C) The relationship cannot be determined from the information given
  • (D) Quantity B is greater

GRE Questions

  • 1.
    “Reviving the practice of using elements of popular music in classical composition, an approach that had been in hibernation in the United States during the 1960s, composer Philip Glass (born 1937) embraced the ethos of popular music in his compositions. Glass based two symphonies on music by rock musicians David Bowie and Brian Eno, but the symphonies' sound is distinctively his. Popular elements do not appear out of place in Glass's classical music, which from its early days has shared certain harmonies and rhythms with rock music. Yet this use of popular elements has not made Glass a composer of popular music. His music is not a version of popular music packaged to attract classical listeners; it is high art for listeners steeped in rock rather than the classics.


      • 2.
        Claim: Though often considered an objective pursuit, learning about the historical past requires creativity.
        Reason: Because we can never know the past directly, we must reconstruct it by imaginatively interpreting historical accounts, documents, and artifacts.
        Write a response in which you discuss the extent to which you agree or disagree with the claim and the reason on which the claim is based.


          • 3.
            Should we really care for the greatest actors of the past could we have them before us? Should we find them too different from our accent of thought, of feeling, of speech, in a thousand minute particulars which are of the essence of all three? Dr. Doran's long and interesting records of the triumphs of Garrick, and other less familiar, but in their day hardly less astonishing, players, do not relieve one of the doubt. Garrick himself, as sometimes happens with people who have been the subject of much anecdote and other conversation, here as elsewhere, bears no very distinct figure. One hardly sees the wood for the trees. On the other hand, the account of Betterton, "perhaps the greatest of English actors," is delightfully fresh. That intimate friend of Dryden, Tillatson, Pope, who executed a copy of the actor's portrait by Kneller which is still extant, was worthy of their friendship; his career brings out the best elements in stage life. The stage in these volumes presents itself indeed not merely as a mirror of life, but as an illustration of the utmost intensity of life, in the fortunes and characters of the players. Ups and downs, generosity, dark fates, the most delicate goodness, have nowhere been more prominent than in the private existence of those devoted to the public mimicry of men and women. Contact with the stage, almost throughout its history, presents itself as a kind of touchstone, to bring out the bizarrerie, the theatrical tricks and contrasts, of the actual world.


              • 4.
                Three years ago, because of flooding at the Western Palean Wildlife Preserve, 100 lions and 100 western gazelles were moved to the East Palean Preserve, an area that is home to most of the same species that are found in the western preserve, though in larger numbers, and to the eastern gazelle, a close relative of the western gazelle.
                Write a response in which you discuss one or more alternative explanations that could rival the proposed explanation and explain how your explanation(s) can plausibly account for the facts presented in the argument.


                  • 5.
                    The best way to solve environmental problems caused by consumer-generated waste is for towns and cities to impose strict limits on the amount of trash they will accept from each household.
                    Write a response in which you discuss the extent to which you agree or disagree with the claim. In developing and supporting your position, be sure to address the most compelling reasons and/or examples that could be used to challenge your position.


                      • 6.
                        “Claim: A person in authority should always encourage those under him or her to share their thoughts and ideas. Reason: A leader’s main goal should be to promote innovation and change.”

                          • Agree, as open dialogue fosters creativity and innovation.
                          • Disagree, as not all ideas are practical or beneficial to share.
                          • Agree, but only when it is necessary for progress.
                          • Disagree, as promoting change without evaluating all ideas can be harmful.

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