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 following appeared as a letter to the editor from the owner of a skate shop in Central Plaza.
    "Two years ago the city council voted to prohibit skateboarding in Central Plaza. They claimed that skateboard users were responsible for litter and vandalism that were keeping other visitors from coming to the plaza. In the past two years, however, there has been only a small increase in the number of visitors to Central Plaza, and litter and vandalism are still problematic. Skateboarding is permitted in Monroe Park, however, and there is no problem with litter or vandalism there. In order to restore Central Plaza to its former glory, then, we recommend that the city lift its prohibition on skateboarding in the plaza."

      • What is the current level of litter and vandalism in Central Plaza?
      • How much foot traffic has increased in Monroe Park compared to Central Plaza?
      • Has the local economy in the plaza improved since the ban on skateboarding?
      • How successful has the Monroe Park skateboarding program been in other cities?

    • 2.
      “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.


        • 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.
            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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