GRE 2024 Quantitative Reasoning Practice Test Set 6 Question Paper with Solutions PDF

Shivam Yadav logo
Updated on, Oct 13, 2025

byShivam Yadav

GRE 2024 Quantitative Reasoning Practice Test Set 6 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 6 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Set 6 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test Set 6 Question Paper with Solutions PDF

Question 1:

Two different juice concentrates, A and B, are used to form two different mixtures P and Q. To make P, xx ml of A and 40 ml of B are used; while to make Q, 90 ml of A and xx ml of B are used. It was observed that the juice concentration in each mixture, P and Q, is the same.

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

Question 2:

\( p, q, r, p, q, r, \) and \( s \) are four numbers such that \[ pq^2 - |q| > q^2r - |s|pq2 - |q| > q2r - |s| \quad and \quad |q| > |s| |q| > |s| \]

  • (A) Quantity A is greater.
  • (B) Quantity B is greater.
  • (C) The two quantities are equal.

Question 3:

Let \( x \) and \( y \) be two numbers such that \( x^{\frac{1}{2}} > y \).

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

Question 4:

Compare the following quantities: \[ Quantity A: 10111011 \] \[ Quantity B: 23r237 \]

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

Question 5:

A die is rolled four times and the numbers appearing on each roll are noted.

  • (A) Quantity A is greater.
  • (B) Quantity B is greater.
  • (C) The two quantities are equal.

Question 6:

For test takers in a national level contest, the scores were observed to be normally distributed with a median score of 65 and a standard deviation of 4.

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

Question 7:

The operator '\#' is such that \( 2 \# 3 = 12 \# 3 = 1 \) and \( 2 \# (-3) = 12 \# (-3) = 1 \). It is known that \( x \# y \) could imply one among \( |x - y|, |x - y|, |y|, |x|, |y| - |x|, \) and \( ||x| - |y|| \).

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

Question 8:

A right-angled isosceles triangle and an equilateral triangle have equal perimeters.

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

Question 9:

The three sides of a triangle are of length \( (2x - 1), (2x - 1), (7 - x)(7 - x), \) and \( (x + 3)(x + 3) \).

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

Question 10:

Let \( x \) and \( y \) be numbers such that \( |x + y| = 12 \), \( |x + y| = 12 \), and \( |x| - |y| = 4 \).

Quantity A :xyxy

Quantity B:22

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

GRE Questions

  • 1.
    It has been suggested that long-term prisoners, on release from jail, be given a reasonable state pension to reduce the likelihood of their resorting to crime. Most people instinctively reject the suggestion as they feel it would be like rewarding criminal activity. The supporters of the prisoners' pension scheme have criticized those who reject this possibility, by claiming that for the critics...
    Which of the following is the most logical completion of the sentence above?

      • emotion is more important than justice
      • punishment for criminals is more important than crime prevention
      • crime prevention is not an important issue
      • money has too high a value
      • the law should not be concerned with what happens after jail

    • 2.
      “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.

      • 3.
        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?

        • 4.
          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.


            • 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.
                  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.

                    Comments


                    No Comments To Show