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

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QHgemN, Oct 14, 2025

byShivam Yadav

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) \( 14 \, cm \)

4ADFK1

  • 1.
    Jean Valjean, the protagonist in Victor Hugo’s novel Les Misérables, spends the bulk of his lengthy _______ plotting a very clever set of revenge schemes, which he executes upon his escape.

      • ruination
      • peregrination
      • immolation
      • rumination

    • 2.
      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?

      • 3.
        “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.


          • 4.
            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 .


              • 5.
                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.


                  • 6.
                    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.

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