GRE 2024 Quantitative Reasoning Practice Test Set 4 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test Set 4 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 4 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Set 4 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test Set 4 Question Paper with Solutions PDF

Question 1:

If \( w = 18 \), then which of the following is equal to \( w \times 3 \)?

  • (A) 116
  • (B) 132
  • (C) 12
  • (D) 164
  • (E) 14

Question 2:

It takes no more than 40 minutes to run a race, but at least 30 minutes. What equation will model this in \( m \) minutes?

  • (A) \( |m - 35| < 5 \)
  • (B) \( |m - 35| > 5 \)
  • (C) \( |m + 35| < 5 \)
  • (D) \( |m + 35| > 5 \)
  • (E) \( |m - 35| = 5 \)

Question 3:

Solve the inequality \( 6(x - 1) < 7(3 - x) \).

  • (A) \( x < 127 \)
  • (B) \( x > 1327 \)
  • (C) \( x > -1117 \)
  • (D) \( x < 2713 \)
  • (E) \( x > -1327 \)

Question 4:

Simplify: \[ \frac{x^3 \times 2x^4 \times 5y + 4y^2 + 3y^2}{y} \]

  • (A) \( 10x^7 + 7y \)
  • (B) \( 15x^6 + 3y^2 \)
  • (C) \( 5x^7 + 7y \)
  • (D) \( 3x^7 + y \)
  • (E) \( 15x^6 + y^2 \)

Question 5:

The arithmetic mean of \( a, b, c, \) and \( d \) is 14. \[ Quantity A: 32, \quad Quantity B: 39. \]

  • (A) The two quantities are equal
  • (B) Quantity B is greater
  • (C) Quantity A is greater
  • (D) The relationship between Quantity A and Quantity B cannot be determined.

Question 6:

If one mile is equal to 5,280 feet, how many feet are 100 miles equal to in scientific notation?

  • (A) \( 528 \times 10^3 \)
  • (B) \( 5280 \times 10^2 \)
  • (C) 528,000
  • (D) \( 528 \times 10^6 \)
  • (E) \( 5.28 \times 10^5 \)

Question 7:

If a cash deposit account is opened with 7500 for a three-year period at 3.5% interest compounded once annually, which of the following is closest to the positive difference between the interest accrued in the third year and the interest accrued in the second year?

  • (A) $11.41
  • (B) $0
  • (C) $281.2
  • (D) $81.41
  • (E) $9.51

Question 8:

Let \( x \) and \( y \) be integers such that \( 0 \leq x \leq 5 \) and \( -4 \leq y \leq -1 \). \[ Quantity A: x - |y| \quad Quantity B: 0. \]

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

Question 9:

Choose the answer which best simplifies the following expression: \[ 2p^2 + 3p^2a - 5p^3 \]

  • (A) \( 15p - 10pa6a \)
  • (B) \( 6p^2 + 9p + 10pa6a \)
  • (C) \( 6p + 9p - 10pa6a \)
  • (D) \( 6p^2 + 9p - 10p6 \)
  • (E) \( 6p^2 + 9p - 10pa6a \)

Question 10:

Simplify the following: \[ 40 - \sqrt{20} - \sqrt{160} \]

  • (A) \( 0 \)
  • (B) \( 5 \)
  • (C) \( 10 \)
  • (D) \( 4 \)

Question 11:

Simplify: \[ 343x5 - \sqrt{49x3} \]

  • (A) \( 7x \)
  • (B) \( x7 - \sqrt{7} \)
  • (C) \( 7x - \sqrt{7} \)
  • (D) \( 7x \)
  • (E) \( x7 \)

Question 12:

Which is greater, when \( -1 < x < 0 \)? \[ Quantity A: |x| \quad Quantity B: x^2 \]

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

Question 13:

Solve: \[ 2315 + 932 = ? \]

  • (A) 282
  • (B) 14
  • (C) 263
  • (D) 283

Question 14:

Which of the following is true?
Quantity A: 49012
Quantity B: 4056

  • (A) Quantity B is larger.
  • (B) The relationship of the two quantities cannot be determined based on the information provided.
  • (C) The two quantities are equal.
  • (D) Quantity A is larger.

Question 15:

Flour, eggs, sugar, and chocolate chips are mixed by weight in the ratio of 12:5:3:5, respectively. How many pounds of chocolate chips are there in 75 pounds of the mixture?

  • (A) 18
  • (B) 5
  • (C) 25
  • (D) 15

GRE Questions

  • 1.
    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.


      • 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.
          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.


            • 4.
              Melvin’s little sister was so ________ that she would believe anything he told her, and his burgeoning sense of maturity rendered him increasingly loath to gull her.

                • dogged
                • tenable
                • fractious
                • frivolous
                • credulous

              • 5.
                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?

                • 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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