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 primary role of the media should be to inform the public rather than to entertain. Write a response in which you discuss your views on the statement and explain your reasoning for the position you take. In developing and supporting your position, you should consider the possible consequences of implementing this idea and explain how these consequences shape your position.


      • 2.
        Governments should invest more in public transportation than in road infrastructure for private vehicles. Write a response in which you discuss the extent to which you agree or disagree with the statement and explain your reasoning for the position you take. In developing and supporting your position, you should consider multiple perspectives and provide examples.


          • 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.
                The following appeared in a letter to the editor of a Relannian newspaper.
                Industry analysts report that the number of dairy farms in Relanna has increased by 25 percent over the last decade. Also, recent innovations in milking technology make it possible for farmers to significantly increase the efficiency of the milking process, allowing them to collect more milk in less time with minimal human intervention. In fact, data from the Relannian Department of Agriculture indicate that labor costs at the majority of Relannian dairy farms are actually lower now than they were ten years ago. Despite increased efficiency and lower labor costs, a carton of cream — a dairy product made from milk — at the local food market costs twice as much as it did two years ago. The only explanation for this dramatic price increase is that farmers are inflating the price of cream to increase their profits.
                Write a response in which you discuss one or more alternative explanations that could rival the proposed explanation and explain how your explanations can plausibly account for the facts presented in the argument.


                  • 5.
                    True leadership is determined more by character than by intelligence. 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.


                      • 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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