GRE 2024 Quantitative Reasoning Practice Test 4 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 4 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 4 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 4 Question Paper with Solutions PDF

Question 1:

If \( \frac{3}{5}x - 2 = 1 \), what is \( x \)?

  • (A) 3
  • (B) 4
  • (C) 5
  • (D) 6

Question 2:

What is the sum of the first 20 positive integers?

  • (A) 190
  • (B) 200
  • (C) 210
  • (D) 220

Question 3:

Solve for \( y \): \( y^2 - 9 = 0 \).

  • (A) \( y = 3 \)
  • (B) \( y = -3 \)
  • (C) \( y = 0 \)
  • (D) No solution

Question 4:

If \( f(x) = x^3 - 4x + 1 \), find \( f(-2) \).

  • (A) \( 3 \)
  • (B) \( 1 \)
  • (C) \( -1 \)
  • (D) \( 0 \)

Question 5:

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?
 

  • (A) \( 50 \, cm^3 \)
  • (B) \( 60 \, cm^3 \)
  • (C) \( 70 \, cm^3 \)
  • (D) \( 80 \, cm^3 \)

Question 6:

Find the area of a trapezoid with bases of 6 cm and 10 cm, and height of 4 cm.

  • (A) \( 24 \, cm^2 \)
  • (B) \( 28 \, cm^2 \)
  • (C) \( 32 \, cm^2 \)
  • (D) \( 36 \, cm^2 \)

Question 7:

A dataset contains the numbers 4, 6, 8, 10, and 12. What is the mean?

  • (A) 6
  • (B) 7
  • (C) 8
  • (D) 9

Question 8:

In a survey, 70% of respondents preferred product A over product B. If 140 people preferred product A, how many people were surveyed in total?

  • (A) 180
  • (B) 190
  • (C) 200
  • (D) 210

Question 9:

Simplify the expression \( 4(x - 3) + 5 \).


Question 10:

If \( x \) is inversely proportional to \( y \) and \( x = 8 \) when \( y = 2 \), what is \( x \) when \( y = 4 \)?


Question 11:

Solve for \( x \) if \( 3x + 2 = 14 \).


Question 12:

A right triangle has legs of length 9 cm and 12 cm. What is the length of the hypotenuse?


Question 13:

If a car travels 300 miles in 5 hours, what is the average speed in miles per hour?


Question 14:

If \( \frac{7}{4} x = 8 \), what is \( x \)?


Question 15:

What is the least common multiple (LCM) of 12 and 15?


Question 16:

Solve for \( x \): \[ x^2 - 6x + 9 = 0 \]


Question 17:

If \[ g(x) = 2x^2 - 5x + 3, find g(2). \]


Question 18:

What is the area of a circle with a diameter of 10 cm?

(Use \( \pi \approx 3.14 )


Question 19:

Find the surface area of a cube with side length 4 cm.


Question 20:

A dataset contains the numbers 12, 15, 18, 20, and 25. What is the range?


Question 21:

A company's sales increased from $1,500,000 to $2,000,000 in one year. What was the percentage increase?


Question 22:

Simplify the expression: \( (3x - 2)(2x + 5) \)


Question 23:

Solve for \( z \) if \( 4z - 7 = 3z + 5 \).


Question 24:

What is the value of \( x \) in the equation \( 2(x + 3) = 5x - 4 \)?


Question 25:

If the probability of an event occurring is 0.25, what is the probability that the event does not occur?


Question 26:

Find the median of the dataset: 8, 12, 15, 22, 26, 29.


Question 27:

What is the standard deviation of the dataset: 3, 7, 7, 8, 10, 15?

GRE Questions

  • 1.
    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.


      • 2.
        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

        • 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.
              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 .


                • 5.
                  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?

                  • 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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