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.
    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

    • 2.
      The following appeared in a memorandum from the manager of WWAC radio station.
      “To reverse a decline in listener numbers, our owners have decided that WWAC must change from its current rock-music format. The decline has occurred despite population growth in our listening area, but that growth has resulted mainly from people moving here after their retirement. We must make listeners of these new residents. We could try playing music tailored to their tastes, but a continuing decline in local sales of recorded music suggests limited interest in music. Instead, we should change to a news and talk format, a form of radio that is increasingly popular in our area.”
      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.
          Claim: Though often considered an objective pursuit, learning about the historical past requires creativity.
          Reason: Because we can never know the past directly, we must reconstruct it by imaginatively interpreting historical accounts, documents, and artifacts.
          Write a response in which you discuss the extent to which you agree or disagree with the claim and the reason on which the claim is based.


            • 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.
                  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.


                    • 6.
                      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?

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