GRE 2024 Quantitative Reasoning Practice Test 3 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 3 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 3 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 3 Question Paper with Solutions PDF

Question 1:

If \( \frac{2}{3}x - 5 = \frac{1}{3}x + 7 \), what is the value of \( x \)?

  • (A) 12
  • (B) 24
  • (C) 36
  • (D) 42

Question 2:

The average (arithmetic mean) of five numbers is 14. If four of the numbers are 10, 12, 18, and 20, what is the fifth number?
Options

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

Question 3:

If a car travels at an average speed of 55 miles per hour for the first 2 hours and 65 miles per hour for the next 3 hours, what is the total distance traveled?
Options

  • (A) 250 miles
  • (B) 275 miles
  • (C) 300 miles
  • (D) 305 miles

Question 4:

Simplify the expression \( \frac{5x}{2x} + \frac{3}{2x} \).
Options

  • (A) \( \frac{8x}{2x} \)
  • (B) \( \frac{13}{2x} \)
  • (C) \( \frac{15x}{2x} \)
  • (D) \( \frac{13x}{2x} \)

Question 5:

Solve for \( y \): \( 4y - 3(2y + 1) = 5 \).
Options

  • (A) \( y = 4 \)
  • (B) \( y = -4 \)
  • (C) \( y = 2 \)
  • (D) \( y = -2 \)

Question 6:

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

  • (A) 4
  • (B) 5
  • (C) 6
  • (D) 7

Question 7:

Expand the expression \( (2x - 3)(x + 4) \).
Options

  • (A) \( 2x^2 + 8x - 3 \)
  • (B) \( 2x^2 + 5x - 12 \)
  • (C) \( 2x^2 - 5x - 12 \)
  • (D) \( 2x^2 + 12x - 3 \)

Question 8:

If \( x^2 - 5x + 6 = 0 \), what are the possible values of \( x \)?
Options

  • (A) \( x = 1 \) or \( x = 6 \)
  • (B) \( x = 2 \) or \( x = 3 \)
  • (C) \( x = -2 \) or \( x = -3 \)
  • (D) \( x = -1 \) or \( x = 6 \)

Question 9:

What is the area of a trapezoid with bases of lengths 6 cm and 10 cm, and a height of 5 cm?
Options

  • (A) 30 cm\(^2\)
  • (B) 35 cm\(^2\)
  • (C) 40 cm\(^2\)
  • (D) 50 cm\(^2\)

Question 10:

What is the volume of a cone with a radius of 3 cm and a height of 4 cm? (Use \( \pi \approx 3.14 \))
Options

  • (A) 28.26 cm\(^3\)
  • (B) 37.68 cm\(^3\)
  • (C) 40.20 cm\(^3\)
  • (D) 45.12 cm\(^3\)

Question 11:

Find the length of the diagonal of a rectangle with length 8 cm and width 6 cm.
Options

  • (A) 8 cm
  • (B) 9 cm
  • (C) 10 cm
  • (D) 12 cm

Question 12:

What is the surface area of a sphere with a radius of 5 cm? (Use \( \pi \approx 3.14 \))
Options

  • (A) 125 cm\(^2\)
  • (B) 200 cm\(^2\)
  • (C) 314 cm\(^2\)
  • (D) 350 cm\(^2\)

Question 13:

A dataset contains the numbers 5, 7, 9, 11, 13, and 15. What is the standard deviation?
Options

  • (A) 2.58
  • (B) 3.74
  • (C) 4.20
  • (D) 5.00

Question 14:

A survey of 300 people found that 180 like coffee, 120 like tea, and 90 like both. How many people like only coffee?
Options

  • (A) 60
  • (B) 90
  • (C) 120
  • (D) 210

Question 15:

A pie chart shows the distribution of expenses for a household: 25% for housing, 15% for food, 20% for transportation, and the rest for other expenses. What percentage is spent on other expenses?
Options

  • (A) 35%
  • (B) 40%
  • (C) 45%
  • (D) 50%

Question 16:

A company's revenue increased from
(200{,}000 in 2019 to
)250{,}000 in 2020. What is the percentage increase?
Options

  • (A) 20%
  • (B) 22.5%
  • (C) 25%
  • (D) 30%

Question 17:

Simplify the expression: \( \frac{3x - 4}{x} + \frac{2x + 5}{x} \).
Options

  • (A) \( \frac{5x + 1}{x} \)
  • (B) \( 5 + \frac{1}{x} \)
  • (C) \( \frac{5}{x} + 1 \)
  • (D) \( \frac{1}{x} - 5 \)

Question 18:

If \( x \) is inversely proportional to \( y \) and \( x = 10 \) when \( y = 2 \), what is \( x \) when \( y = 8 \)?
Options

  • (A) 1.5
  • (B) 2
  • (C) 2.5
  • (D) 4

Question 19:

If \( 4x + 7 = 3x + 12 \), what is the value of \( x \)?
Options

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

Question 20:

A right triangle has one leg of 8 cm and a hypotenuse of 17 cm. What is the length of the other leg?
Options

  • (A) 12 cm
  • (B) 13 cm
  • (C) 15 cm
  • (D) 16 cm

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  • 1.
    “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.

    • 2.
      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?

      • 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.
            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

            • 5.
              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

              • 6.
                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.

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