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

Updated on, Oct 13, 2025

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	Check Solutions

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

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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) \( 9a + 4 \)

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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

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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

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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) \( m = 2, x = (0,0) \)

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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) \( 3y = x^2 \)

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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) \( 1 - \frac{\pi}{6} \)

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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) \( y = 3(x - 2)^2 + 3 \)

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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) \( \frac{2}{5} a^2 \)

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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) \( A - \pi(B - C) \)

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GRE Questions

1.
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?
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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.
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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.
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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.
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5.
The following memo appeared in the newsletter of the West Meria Public Health Council. “An innovative treatment has come to our attention that promises to significantly reduce absenteeism in our schools and workplaces. A study reports that in nearby East Meria, where consumption of the plant beneficia is very high, people visit the doctor only once or twice per year for the treatment of colds. Clearly, eating a substantial amount of beneficia can prevent colds. Since colds are the reason most frequently given for absences from school and work, we recommend the daily use of nutritional supplements derived from beneficia. We predict this will dramatically reduce absenteeism in our schools and workplaces.”
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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6.
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.
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GRE 2024 Qantitative Reasoning Practice Test Set 2 Question Paper with Solutions PDF

GRE Questions

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.”

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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.”