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

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.
    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

    • 2.
      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.


        • 3.
          Should we really care for the greatest actors of the past could we have them before us? Should we find them too different from our accent of thought, of feeling, of speech, in a thousand minute particulars which are of the essence of all three? Dr. Doran's long and interesting records of the triumphs of Garrick, and other less familiar, but in their day hardly less astonishing, players, do not relieve one of the doubt. Garrick himself, as sometimes happens with people who have been the subject of much anecdote and other conversation, here as elsewhere, bears no very distinct figure. One hardly sees the wood for the trees. On the other hand, the account of Betterton, "perhaps the greatest of English actors," is delightfully fresh. That intimate friend of Dryden, Tillatson, Pope, who executed a copy of the actor's portrait by Kneller which is still extant, was worthy of their friendship; his career brings out the best elements in stage life. The stage in these volumes presents itself indeed not merely as a mirror of life, but as an illustration of the utmost intensity of life, in the fortunes and characters of the players. Ups and downs, generosity, dark fates, the most delicate goodness, have nowhere been more prominent than in the private existence of those devoted to the public mimicry of men and women. Contact with the stage, almost throughout its history, presents itself as a kind of touchstone, to bring out the bizarrerie, the theatrical tricks and contrasts, of the actual world.


            • 4.
              “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.

              • 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.
                  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

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