GRE 2024 Quantitative Reasoning Practice Test Set 2 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test Set 2 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 Set 2 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Set 2 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test Set 2 Question Paper with Solutions PDF

Question 1:

What is the area of triangle ALC in the figure given below?

  • (A) 2.5
  • (B) 3
  • (C) 3.5
  • (D) 4
  • (E) 4.5

Question 2:

Alan has two more than twice as many chocolates as Alice, and half as many chocolates as does Nadia. If Alice has ‘a’ number of chocolates, then in terms of ‘a’, how many chocolates do Alan, Alice, and Nadia have?

  • (A) \( 2a + 4 \)
  • (B) \( 5a + 5 \)
  • (C) \( 6a + 7 \)
  • (D) \( 7a + 6 \)
  • (E) \( 9a + 4 \)

Question 3:

Milk needs to be thinned to a ratio of 3 parts milk to 2 parts water. The milk-man has by mistake added water so that he has 8 liters of milk, which is half water and half milk. What must he add to make the proportions of the mixture correct?

  • (A) 1 liter milk
  • (B) 1 liter water
  • (C) 2 liters milk
  • (D) 1.5 liters milk
  • (E) 3 liters milk

Question 4:

The width of a rectangle is \( \frac{2}{3} \) times its length. If the length is calculated to be 9, what is the value of the perimeter for this rectangle?

  • (A) 36
  • (B) 9
  • (C) 12
  • (D) 54
  • (E) 30

Question 5:

A line is parallel to the y-axis and passes through the point \( (2,3) \). What is its gradient (m) and x-intercept?

  • (A) \( m = 0, x = (3,0) \)
  • (B) \( m = \infty, x = (2,0) \)
  • (C) \( m = 0, x = (2,0) \)
  • (D) \( m = \infty, x = (3,0) \)
  • (E) \( m = 2, x = (0,0) \)

Question 6:

What is the equation of the new parabola created by shifting \( y = x^2 \), three units in the positive y-axis direction?

  • (A) \( y = (x + 3)^2 \)
  • (B) \( y = x^2 \)
  • (C) \( y = x^2 + 3 \)
  • (D) \( 3y = x^2 \)

Question 7:

A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube.

  • (A) \( \frac{1}{4} \)
  • (B) \( 2\pi \)
  • (C) \( \frac{\pi}{6} - 1 \)
  • (D) \( 1 - \frac{\pi}{4} \)
  • (E) \( 1 - \frac{\pi}{6} \)

Question 8:

The function \( y = -3x^2 \) is shifted 2 units towards the positive x-axis (right) and 3 units towards the positive y-axis (up). Find the resulting function.

  • (A) \( y = 3x^2 + 5 \)
  • (B) \( y = 3x^2 \)
  • (C) \( y = 3(x + 2)^2 + 3 \)
  • (D) \( y = 3(x - 2)^2 - 3 \)
  • (E) \( y = 3(x - 2)^2 + 3 \)

Question 9:

Find the shaded area when two squares with side \( a \) intersect as shown in the figure below.

  • (A) \( \frac{1}{8} a^2 \)
  • (B) \( \frac{1}{4} a^2 \)
  • (C) \( a^2 \)
  • (D) \( \frac{1}{3} a^2 \)
  • (E) \( \frac{2}{5} a^2 \)

Question 10:

If the largest side of a triangle is \( A \), and the other two sides are \( B \) and \( C \), what relation exists between them?

  • (A) \( A = B + C \)
  • (B) \( A + C \)
  • (C) \( A > |B - C| \)
  • (D) \( |B - C| \)
  • (E) \( A - \pi(B - C) \)

GRE Questions

  • 1.
    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.


      • 2.
        “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.

        • 3.
          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.


            • 4.
              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.


                • 5.
                  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.


                    • 6.
                      According to an independent poll of 200 charitable organizations, overall donations of money to nonprofit groups increased last year, but educational institutions did not fare as well as other organizations. Donations to international aid groups increased the most (30 percent), followed by donations to environmental groups (23 percent), whereas donations to educational institutions actually decreased slightly (3 percent). Meanwhile, some of the major economic indicators suggest that consumer spending is higher than average this year, showing that potential donors have ample disposable income. Therefore, the clearest explanation for the decline in donations to educational institutions is that people actually value education less than they did in the past.
                      Write a response in which you discuss the extent to which you agree or disagree with the argument and explain your reasoning.

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