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

Shivam Yadav logo
QHgemN, 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.

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  • 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.
        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.
          Called by some the “island that time forgot,” Madagascar is home to a vast array of unique, exotic creatures. One such animal is the aye-aye. First described by western science in 1782, it was initially categorized as a member of the order Rodentia. Further research then revealed that it was more closely related to the lemur, a member of the primate order. Since the aye-aye is so different from its fellow primates, however, it was given its own family: Daubentoniidae. The aye-aye has been listed as an endangered species and, as a result, the government of Madagascar has designated an island off the northeastern coast of Madagascar as a protected reserve for aye-ayes and other wildlife.
          Long before Western science became enthralled with this nocturnal denizen of Madagascar’s jungles, the aye-aye had its own reputation with the local people. The aye aye is perhaps best known for its large, round eyes and long, extremely thin middle finger. These adaptations are quite sensible, allowing the aye-aye to see well at night and retrieve grubs, which are one of its primary food sources, from deep within hollow branches. However, the aye-aye’s striking appearance may end up causing its extinction. The people of Madagascar believe that the aye-aye is a type of spirit animal, and that its appearance is an omen of death. Whenever one is sighted, it is immediately killed. When combined with the loss of large swaths of jungle habitat, this practice may result in the loss of a superb .


            • 4.
              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.


                • 5.
                  “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.

                  • 6.
                    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?

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