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

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Updated on, Oct 13, 2025

byShivam Yadav

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.
    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.
      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.
        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.


          • 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.
                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 .


                  • 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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