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 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.


          • 3.
            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

            • 4.
              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

              • 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.
                  “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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