GRE 2024 Quantitative Reasoning Practice Test 2 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 2 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 2 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 2 Question Paper with Solutions PDF

Question 1:

What is the value of \(4^2\)?

  • (A) 10
  • (B) 12
  • (C) 16
  • (D) 20

Question 2:

If a shirt originally costs 50 and is discounted by 30%, what is the sale price?

  • (A)35
  • (B)40
  • (C)45
  • (D)50

Question 3:

Solve for ( x ): ( 3x + 7 = 16 ).

  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Question 4:

What is the solution to the equation \( (x^2 - 4x - 5 = 0) \)?

  • (A) 1 and -5
  • (B) 1 and 5
  • (C) -1 and 5
  • (D) -1 and -5

Question 5:

What is the area of a right triangle with base 8 units and height 6 units?

  • (A) 24 square units
  • (B) 48 square units
  • (C) 28 square units
  • (D) 30 square units

Question 6:

In a circle, if the radius is 7 units, what is the circumference? (Use \(\pi \approx 3.14\))

  • (A) 21.98 units
  • (B) 43.96 units
  • (C) 14 units
  • (D) 49 units

Question 7:

The average of five numbers is 12. What is their total sum?

  • (A) 60
  • (B) 48
  • (C) 54
  • (D) 72

Question 8:

In a dataset with values 10, 15, 20, 25, and 30, what is the median?

  • (A) 15
  • (B) 20
  • (C) 25
  • (D) 30

Question 9:

If ( 2x - 3 = 7 ), what is ( x )?

  • (A) 4
  • (B) 5
  • (C) 6
  • (D) 7

Question 10:

What is ( 15% ) of 200?

  • (A) 20
  • (B) 25
  • (C) 30
  • (D) 35

Question 11:

What is the volume of a cylinder with a radius of 3 units and a height of 5 units? (Use \(\pi \approx 3.14\))

  • (A) 141.3 cubic units
  • (B) 282.6 cubic units
  • (C) 94.2 cubic units
  • (D) 235.8 cubic units

Question 12:

What is the value of \( (3x^2 - 2x) \) when \( (x = 4) \)?

  • (A) 40
  • (B) 50
  • (C) 52
  • (D) 60

Question 13:

What is the surface area of a cube with a side length of 6 units?

  • (A) 72 square units
  • (B) 96 square units
  • (C) 108 square units
  • (D) 144 square units

Question 14:

What is the range of the dataset {5, 8, 12, 20, 25}?

  • (A) 15
  • (B) 17
  • (C) 20
  • (D) 25

Question 15:

What is the length of the hypotenuse of a right triangle with legs of lengths 5 and 12 units?

  • (A) 13 units
  • (B) 14 units
  • (C) 15 units
  • (D) 17 units

Question 16:

Simplify \( \left( \frac{6x^2 - 4x}{2x} \right) \).

  • (A) (3x - 2)
  • (B) (3x + 2)
  • (C) (3x - 1)
  • (D) (3x + 1)

Question 17:

The mean of a dataset is 14 and the sum of the dataset is 84. How many numbers are in the dataset?

  • (A) 5
  • (B) 6
  • (C) 7
  • (D) 8

Question 18:

The diagonal of a square is \(10\sqrt{2}\) units. What is the side length of the square?

  • (A) 10 units
  • (B) 5 units
  • (C) \(5\sqrt{2}\) units
  • (D) 15 units

Question 19:

Solve for ( x ) in the equation \( (4(x - 2) = 3x + 6) \).

  • (A) 18
  • (B) 12
  • (C) 10
  • (D) 8

Question 20:

In a dataset with values 3, 7, 7, 10, and 14, what is the mode?

  • (A) 3
  • (B) 7
  • (C) 10
  • (D) 14

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  • 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.
            The following appeared in a health newsletter.
            "Nosinia is an herb that many users report to be as effective as prescription medications at fighting allergy symptoms. Researchers recently compared Nosinia to a placebo in 95 men and women with seasonal allergies to ragweed pollen. Participants in the study reported that neither Nosinia nor the placebo offered significant relief. However, for the most severe allergy symptoms, the researchers reported that Nosinia was more effective than the placebo in providing relief. Furthermore, at the end of the study, participants given Nosinia were more likely than participants given a placebo to report feeling healthier. We, therefore, recommend using Nosinia to help with your severe allergy symptoms."

              • How reliable is the study's sample size?
              • How does the severity of symptoms affect the results?
              • Was the placebo truly effective in reducing allergy symptoms?
              • Is there any independent evidence for Nosinia’s effectiveness?

            • 4.
              “Color photography has eliminated the need for realism in artistic painting, in the opinion of a number of art scholars and artists. At the same time, many members of the art community still feel that realistic artwork is still valuable and worthwhile.”

                • Agree, because color photography has eliminated the need for realistic art.
                • Disagree, as realism in art serves as an important expression of human creativity.
                • Agree, but only in some cases, color photography does not affect all artistic forms.
                • Disagree, as traditional forms of art hold inherent value independent of color photography.

              • 5.
                Called by some the “island that time forgot,” Madagascar is home to a vast array of unique, exotic creatures. One such animal is the aye-aye. First described by western science in 1782, it was initially categorized as a member of the order Rodentia. Further research then revealed that it was more closely related to the lemur, a member of the primate order. Since the aye-aye is so different from its fellow primates, however, it was given its own family: Daubentoniidae. The aye-aye has been listed as an endangered species and, as a result, the government of Madagascar has designated an island off the northeastern coast of Madagascar as a protected reserve for aye-ayes and other wildlife.
                Long before Western science became enthralled with this nocturnal denizen of Madagascar’s jungles, the aye-aye had its own reputation with the local people. The aye aye is perhaps best known for its large, round eyes and long, extremely thin middle finger. These adaptations are quite sensible, allowing the aye-aye to see well at night and retrieve grubs, which are one of its primary food sources, from deep within hollow branches. However, the aye-aye’s striking appearance may end up causing its extinction. The people of Madagascar believe that the aye-aye is a type of spirit animal, and that its appearance is an omen of death. Whenever one is sighted, it is immediately killed. When combined with the loss of large swaths of jungle habitat, this practice may result in the loss of a superb .


                  • 6.
                    The following appeared in a memorandum from the manager of WWAC radio station.
                    “To reverse a decline in listener numbers, our owners have decided that WWAC must change from its current rock-music format. The decline has occurred despite population growth in our listening area, but that growth has resulted mainly from people moving here after their retirement. We must make listeners of these new residents. We could try playing music tailored to their tastes, but a continuing decline in local sales of recorded music suggests limited interest in music. Instead, we should change to a news and talk format, a form of radio that is increasingly popular in our area.”
                    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.

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