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	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.
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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2.
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.
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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?
- How does the severity of symptoms affect the results?
- Was the placebo truly effective in reducing allergy symptoms?
- Is there any independent evidence for Nosinia’s effectiveness?
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4.
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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5.
“Color photography has eliminated the need for realism in artistic painting, in the opinion of a number of art scholars and artists. At the same time, many members of the art community still feel that realistic artwork is still valuable and worthwhile.”
- Agree, because color photography has eliminated the need for realistic art.
- Disagree, as realism in art serves as an important expression of human creativity.
- Agree, but only in some cases, color photography does not affect all artistic forms.
- Disagree, as traditional forms of art hold inherent value independent of color photography.
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6.
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.
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GRE 2024 Qantitative Reasoning Practice Test Set 2 Question Paper with Solutions PDF

GRE Questions

5.“Color photography has eliminated the need for realism in artistic painting, in the opinion of a number of art scholars and artists. At the same time, many members of the art community still feel that realistic artwork is still valuable and worthwhile.”

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5.
“Color photography has eliminated the need for realism in artistic painting, in the opinion of a number of art scholars and artists. At the same time, many members of the art community still feel that realistic artwork is still valuable and worthwhile.”