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.
    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.


      • 2.
        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

        • 3.
          “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.

          • 4.
            “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.

            • 5.
              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.


                • 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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