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

GRE Questions

  • 1.
    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?

    • 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 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.


          • 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.
                “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.

                • 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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