GRE 2024 Quantitative Reasoning Practice Test 7 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 7 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 7 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 7 Question Paper with Solutions PDF

Question 1:

If \( x \) is a positive integer and \( 3x - 7 < 2x + 5 \), what is the greatest possible value of \( x \)?

  • (A) 6
  • (B) 8
  • (C) 10
  • (D) 12
  • (E) 14

Question 2:

A bakery makes 120 cookies, which are divided equally among 4 boxes. Each box is sold for 15. What is the price per cookie?

  • (A)0.25
  • (B)0.50
  • (C)1.00
  • (D)1.25
  • (E)1.50

Question 3:

A number is decreased by 40% and the result is 72. What was the original number?

  • (A) 100
  • (B) 120
  • (C) 150
  • (D) 160
  • (E) 180

Question 4:

If the average (arithmetic mean) of five consecutive integers is 25, what is the largest of these integers?

  • (A) 25
  • (B) 26
  • (C) 27
  • (D) 28
  • (E) 29

Question 5:

A certain job pays 24 per hour for the first 40 hours worked in a week and 1.5 times that rate for any additional hours. If an employee earns
1,260 in one week, how many total hours did they work?

  • (A) 45
  • (B) 47
  • (C) 48
  • (D) 50
  • (E) 52

Question 6:

Solve for \( x \): \[ \frac{2}{x} + \frac{3}{x} = \frac{10}{15} \]

  • (A) 3
  • (B) 6
  • (C) 9
  • (D) 12
  • (E) 15

Question 7:

If \( x^2 - 9 = 16 \), what are the values of \( x \)?

  • (A) \( \pm 5 \)
  • (B) \( \pm 7 \)
  • (C) \( \pm 6 \)
  • (D) \( \pm 4 \)
  • (E) \( \pm 3 \)

Question 8:

Solve for \( y \) in terms of \( x \) if \( 4x - 5y = 20 \).

  • (A) \( y = \frac{4x - 20}{5} \)
  • (B) \( y = \frac{20 - 4x}{5} \)
  • (C) \( y = \frac{5x - 20}{4} \)
  • (D) \( y = \frac{20 + 4x}{5} \)
  • (E) \( y = \frac{20 + 5x}{4} \)

Question 9:

If \( x + 1 = 3(x - 2) \), what is the value of \( x \)?

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

Question 10:

For what value of \( k \) will the system of equations \( 2x + 3y = 12 \) and \( 4x + ky = 24 \) have no solution?

  • (A) 3
  • (B) 6
  • (C) 9
  • (D) 12
  • (E) 15

Question 11:

A rectangle has a width of 6 units and a perimeter of 32 units. What is the length of the rectangle?

  • (A) 8
  • (B) 10
  • (C) 12
  • (D) 14
  • (E) 16

Question 12:

In a circle with a radius of 10, what is the area of a sector with a central angle of 72 degrees?

  • (A) \( 20\pi \)
  • (B) \( 25\pi \)
  • (C) \( 50\pi \)
  • (D) \( 100\pi \)
  • (E) \( 200\pi \)

Question 13:

A right triangle has legs of lengths 8 and 15. What is the length of the hypotenuse?

  • (A) 16
  • (B) 17
  • (C) 18
  • (D) 19
  • (E) 20

Question 14:

What is the volume of a cube with a surface area of 54 square units?

  • (A) 18
  • (B) 27
  • (C) 36
  • (D) 45
  • (E) 64

Question 15:

In a parallelogram, if one angle measures 70 degrees, what is the measure of an adjacent angle?

  • (A) 70
  • (B) 90
  • (C) 100
  • (D) 110
  • (E) 120

Question 16:

The weights of 5 dogs are 10, 12, 15, 15, and 20 pounds. What is the median weight?

  • (A) 12
  • (B) 13
  • (C) 15
  • (D) 16
  • (E) 17

Question 17:

If 60% of a class of 50 students passed a test, how many students did not pass?

  • (A) 10
  • (B) 15
  • (C) 20
  • (D) 25
  • (E) 30

Question 18:

A survey showed that 40% of respondents prefer coffee, 35% prefer tea, and the rest prefer neither. If 200 people responded, how many prefer neither?

  • (A) 50
  • (B) 60
  • (C) 70
  • (D) 80
  • (E) 90

Question 19:

A store sells apples in bags of 6. If a customer buys 4 bags, what is the standard deviation of the number of apples bought?

  • (A) 0
  • (B) 2
  • (C) 3
  • (D) 4
  • (E) 5

Question 20:

If the probability of rain on any given day is 0.3, what is the probability that it will rain exactly 2 out of the next 3 days?

  • (A) 0.189
  • (B) 0.216
  • (C) 0.243
  • (D) 0.267
  • (E) 0.300

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  • 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.
        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.
          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.
              “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 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.


                    • 6.
                      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.

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