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 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.


      • 2.
        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

        • 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.
              “Reviving the practice of using elements of popular music in classical composition, an approach that had been in hibernation in the United States during the 1960s, composer Philip Glass (born 1937) embraced the ethos of popular music in his compositions. Glass based two symphonies on music by rock musicians David Bowie and Brian Eno, but the symphonies' sound is distinctively his. Popular elements do not appear out of place in Glass's classical music, which from its early days has shared certain harmonies and rhythms with rock music. Yet this use of popular elements has not made Glass a composer of popular music. His music is not a version of popular music packaged to attract classical listeners; it is high art for listeners steeped in rock rather than the classics.


                • 5.
                  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?

                  • 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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