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.
    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 .


      • 2.
        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.


          • 3.
            Melvin’s little sister was so ________ that she would believe anything he told her, and his burgeoning sense of maturity rendered him increasingly loath to gull her.

              • dogged
              • tenable
              • fractious
              • frivolous
              • credulous

            • 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.
                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

                • 6.
                  “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.

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