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

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QHgemN, Oct 14, 2025

byShivam Yadav

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

4ADFK1

  • 1.
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    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.


      • 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.
            The following appeared in a health newsletter.
            "Nosinia is an herb that many users report to be as effective as prescription medications at fighting allergy symptoms. Researchers recently compared Nosinia to a placebo in 95 men and women with seasonal allergies to ragweed pollen. Participants in the study reported that neither Nosinia nor the placebo offered significant relief. However, for the most severe allergy symptoms, the researchers reported that Nosinia was more effective than the placebo in providing relief. Furthermore, at the end of the study, participants given Nosinia were more likely than participants given a placebo to report feeling healthier. We, therefore, recommend using Nosinia to help with your severe allergy symptoms."

              • How reliable is the study's sample size?
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              • Was the placebo truly effective in reducing allergy symptoms?
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            • 4.
              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
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                • immolation
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              • 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?

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                • 6.
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