GRE 2024 Quantitative Reasoning Practice Test Set 12 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test Set 12 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 12 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Set 12 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test Set 12 Question Paper with Solutions PDF

Question 1:

A bakery stocks 3 cookies for every 2 cupcakes and 6 pastries for every 5 cookies. What is the ratio of cupcakes to pastries?

  • (A) 5:9
  • (B) 2:5
  • (C) 1:3
  • (D) 4:5
  • (E) 4:9

Question 2:

Jessica bought a few pairs of socks for 50. If there had been a 20% discount, she could have bought 5 more pairs of socks for the same total price. How many pairs of socks did she buy?

  • (A) 5
  • (B) 2
  • (C) 10
  • (D) 15
  • (E) 20

Question 3:

If \( |x-3| = 3 \), compare the two quantities:

Quantity A: \( x \)

Quantity B: 2

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

Question 4:

If operation \( x ¤ y = 4x - y^2 \), and \( x,y \) are positive integers, which of the following cannot produce an odd value?

  • (A) \( x ¤ y^2 \)
  • (B) \( x  ¤ 2y \)
  • (C) \( y ¤ x \)
  • (D) \( x ¤ y \)
  • (E) \( x  ¤ (y+1) \)

Question 5:

Let \( p = 4 \times 6 \times 11 \times n \), where \( n \) is a positive integer. Compare the following:

Quantity A: Remainder when \( p \) is divided by 5

Quantity B: Remainder when \( p \) is divided by 33

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

Question 6:

Which of the following is a graph for the values of \( x \) defined by the inequality \( 26 \leq 2x < 64 \)?

  • (A)
  • (B)
  • (C)
  • (D)
  • (E)

Question 7:

Sam is a caterer who needs to bake 300 pies. Each pie requires 4 apples. Apples are sold in bushels, with 126 apples in each bushel. How many bushels must Sam order to ensure he has enough apples?

  • (A) 11
  • (B) 9
  • (C) 9.5
  • (D) 10
  • (E) 12

Question 8:

What is the sum of all of the four-digit integers that can be created with the digits 1, 2, 3, and 4?

  • (A) 5994
  • (B) 37,891
  • (C) 711,040
  • (D) 482,912
  • (E) 48,758

Question 9:

Which of the following defines any term in a linear sequence having 30 for its first term and 126 for its ninth term?

  • (A) \( s_n = s_{n-1} + \frac{16}{3} \)
  • (B) \( s_n = s_{n-1} + 8 \)
  • (C) \( s_n = s_{n-1} + 12 \)
  • (D) \( s_n = 2s_{n-1} + 4 \)
  • (E) \( s_n = s_{n-1} + \frac{32}{3} \)

Question 10:

Robert has 22.8% of his cereal left. Choose the decimal that best represents how much of his cereal he has eaten.

  • (A) 0.325
  • (B) 0.228
  • (C) 0.22
  • (D) 0.77
  • (E) 0.772

Question 11:

A group of five students averaged 85 points on an exam taken out of 100 total points. If the addition of two additional students raises the group average to 88 points, what is the minimum score that one of those two students can receive? Assume that 100 is the highest score for the exam.

  • (A) 93
  • (B) 100
  • (C) None of the other answers
  • (D) 95.5
  • (E) 91

Question 12:

In a bag, there are 10 red, 15 green, and 12 blue marbles. If you draw two marbles (without replacing), what is the approximate probability of drawing two different colors?

  • (A) 33.33%
  • (B) 0.06%
  • (C) None of the other answers
  • (D) 67.57%
  • (E) 25%

Question 13:

How many different license passwords can one make if said password must contain exactly 6 characters, two of which are distinct numbers, another of which must be an uppercase letter, and the remaining 3 can be any digit or letter (upper- or lower-case) such that there are no repetitions of any characters in the password?

  • (A) 231
  • (B) 456426360
  • (C) 219
  • (D) 619652800
  • (E) 365580800

Question 14:

Sample Set A has 25 data points with an arithmetic mean of 50. Sample Set B has 75 data points with an arithmetic mean of 100.
Quantity A: The arithmetic mean of the 100 data points encompassing A and B.
Quantity B: 80

  • (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 15:

Which statement is correct assuming that \(a\) represents the range, \(b\) represents the mean, \(c\) represents the median, and \(d\) represents the mode for the number set: 8, 3, 11, 12, 3, 4, 6, 15, 1 ?

  • (A) \(a < c < d < b\)
  • (B) \(d < c < b < a\)
  • (C) \(b = c < a < d\)
  • (D) \(c < b < a < d\)
  • (E) \(b < c < a = d\)

GRE Questions

  • 1.
    “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.


      • 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.
          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.


            • 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.
                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?

                • 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.

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