GRE 2024 Quantitative Reasoning Practice Test 5 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 5 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 5 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 5 Question Paper with Solutions PDF

Question 1:

If \( 3x + 2 = 11 \), what is the value of \( x \)?

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

Question 2:

The average (arithmetic mean) of 5, 10, 15, and 20 is:

  • (A) \( 12.5 \)
  • (B) \( 15 \)
  • (C) \( 10 \)
  • (D) \( 13 \)

Question 3:

If a car travels 150 miles in 2.5 hours, what is the average speed in miles per hour?

  • (A) \( 50 \) miles per hour
  • (B) \( 55 \) miles per hour
  • (C) \( 60 \) miles per hour
  • (D) \( 65 \) miles per hour

Question 4:

Solve for \( y \): \( 2y - 7 = 3y + 4 \).
 

  • (A) \( -11 \)
  • (B) \( 11 \)
  • (C) \( -7 \)
  • (D) \( 7 \)

Question 5:

If \( f(x) = x^2 - 3x + 2 \), find \( f(2) \).
 

  • (A) \( 0 \)
  • (B) \( 2 \)
  • (C) \( -2 \)
  • (D) \( 4 \)

Question 6:

Expand the expression \( (x + 3)(x - 2) \).
 

  • (A) \( x^2 + x - 6 \)
  • (B) \( x^2 - x - 6 \)
  • (C) \( x^2 + 6x - 6 \)
  • (D) \( x^2 - 6x - 6 \)

Question 7:

If \( x^2 = 16 \), what are the possible values of \( x \)?
 

  • (A) \( 4 \)
  • (B) \( -4 \)
  • (C) \( 4 \) or \( -4 \)
  • (D) \( 0 \)

Question 8:

What is the area of a triangle with a base of 8 cm and a height of 5 cm?
 

  • (A) \( 20 \, cm^2 \)
  • (B) \( 30 \, cm^2 \)
  • (C) \( 40 \, cm^2 \)
  • (D) \( 10 \, cm^2 \)

Question 9:

What is the circumference of a circle with a radius of 7 cm?
 

  • (A) \( 43.96 \, cm \)
  • (B) \( 44.96 \, cm \)
  • (C) \( 40.96 \, cm \)
  • (D) \( 38.96 \, cm \)

Question 10:

Find the length of the hypotenuse of a right triangle with legs of length 6 cm and 8 cm.
 

  • (A) \( 12 \, cm \)
  • (B) \( 10 \, cm \)
  • (C) \( 8 \, cm \)
  • (D) \( 6 \, cm \)

Question 11:

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?
 

  • (A) \( 141.3 \, cm^3 \)
  • (B) \( 120.5 \, cm^3 \)
  • (C) \( 135.5 \, cm^3 \)
  • (D) \( 150.5 \, cm^3 \)

Question 12:

The mean of five numbers is 8. If four of the numbers are 7, 9, 12, and 5, what is the fifth number?
 

  • (A) \( 7 \)
  • (B) \( 8 \)
  • (C) \( 9 \)
  • (D) \( 10 \)

Question 13:

A survey of 200 people found that 120 like coffee, 150 like tea, and 80 like both. How many people do not like either coffee or tea?
 

  • (A) \( 10 \)
  • (B) \( 20 \)
  • (C) \( 30 \)
  • (D) \( 40 \)

Question 14:

A dataset contains the numbers 5, 7, 9, 11, and 13. What is the median?
 

  • (A) \( 7 \)
  • (B) \( 9 \)
  • (C) \( 11 \)
  • (D) \( 13 \)

Question 15:

A jar contains 4 red, 5 blue, and 6 green marbles. If one marble is picked at random, what is the probability it is blue?
 

  • (A) \( \frac{1}{3} \)
  • (B) \( \frac{5}{15} \)
  • (C) \( \frac{4}{15} \)
  • (D) \( \frac{2}{5} \)

Question 16:

Simplify the expression: \( 3(x - 2) + 4 \).
 

  • (A) \( 3x - 2 \)
  • (B) \( 3x + 2 \)
  • (C) \( 3x - 4 \)
  • (D) \( 3x + 4 \)

Question 17:

If \( x \) is directly proportional to \( y \) and \( x = 10 \) when \( y = 2 \), what is \( x \) when \( y = 8 \)?
 

  • (A) \( 30 \)
  • (B) \( 40 \)
  • (C) \( 50 \)
  • (D) \( 60 \)

Question 18:

If \( 2x + 3 = 9 \), what is the value of \( x \)?
 

  • (A) \( 1 \)
  • (B) \( 2 \)
  • (C) \( 3 \)
  • (D) \( 4 \)

Question 19:

A right triangle has one leg of 5 cm and a hypotenuse of 13 cm. What is the length of the other leg?
 

  • (A) \( 10 \, cm \)
  • (B) \( 12 \, cm \)
  • (C) \( 15 \, cm \)
  • (D) \( 14 \, cm \)

GRE Questions

  • 1.
    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.


      • 2.
        Complete the paragraph from the given words. It is refreshing to read a book about our planet by an author who does not allow facts to be (i) _________ by politics: well aware of the political disputes about the effects of human activities on climate and biodiversity, this author does not permit them to (ii) _________ his comprehensive description of what we know about our biosphere. He emphasizes the enormous gaps in our knowledge, the sparseness of our observations, and the (iii) _________, calling attention to the many aspects of planetary evolution that must be better understood before we can accurately diagnose the condition of our planet. Fill in the blanks from the following:

          • overshadowed
          • invalidated
          • illuminated
          • enhance
          • obscure

        • 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.
            “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.


              • 5.
                “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.

                • 6.
                  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.

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