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 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?

    • 2.
      “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.

      • 3.
        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

        • 4.
          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.


            • 5.
              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

              • 6.
                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.

                  Comments


                  No Comments To Show