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.
    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.
        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.


          • 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.
                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.


                  • 5.
                    The following appeared in an e-mail sent by the marketing director of the Classical Shakespeare Theatre of Bardville.
                    “Over the past ten years, there has been a 20 percent decline in the size of the average audience at Classical Shakespeare Theatre productions. In spite of increased advertising, we are attracting fewer and fewer people to our shows, causing our profits to decrease significantly. We must take action to attract new audience members. The best way to do so is by instituting a ‘Shakespeare in the Park’ program this summer. Two years ago the nearby Avon Repertory Company started a ‘Free Plays in the Park’ program, and its profits have increased 10 percent since then. If we start a ‘Shakespeare in the Park’ program, we can predict that our profits will increase too.”
                    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.
                        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.

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