GRE 2024 Quantitative Reasoning Practice Test 4 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 4 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 4 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF	Download	Check Solutions

Question 1:

If $ \frac{3}{5}x - 2 = 1 $, what is $ x $?

(A) 3
(B) 4
(C) 5
(D) 6

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Question 2:

What is the sum of the first 20 positive integers?

(A) 190
(B) 200
(C) 210
(D) 220

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Question 3:

Solve for $ y $: $ y^2 - 9 = 0 $.

(A) $ y = 3 $
(B) $ y = -3 $
(C) $ y = 0 $
(D) No solution

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Question 4:

If $ f(x) = x^3 - 4x + 1 $, find $ f(-2) $.

(A) $ 3 $
(B) $ 1 $
(C) $ -1 $
(D) $ 0 $

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Question 5:

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?

(A) $ 50 \, cm^3 $
(B) $ 60 \, cm^3 $
(C) $ 70 \, cm^3 $
(D) $ 80 \, cm^3 $

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Question 6:

Find the area of a trapezoid with bases of 6 cm and 10 cm, and height of 4 cm.

(A) $ 24 \, cm^2 $
(B) $ 28 \, cm^2 $
(C) $ 32 \, cm^2 $
(D) $ 36 \, cm^2 $

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Question 7:

A dataset contains the numbers 4, 6, 8, 10, and 12. What is the mean?

(A) 6
(B) 7
(C) 8
(D) 9

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Question 8:

In a survey, 70% of respondents preferred product A over product B. If 140 people preferred product A, how many people were surveyed in total?

(A) 180
(B) 190
(C) 200
(D) 210

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Question 9:

Simplify the expression $ 4(x - 3) + 5 $.

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Question 10:

If $ x $ is inversely proportional to $ y $ and $ x = 8 $ when $ y = 2 $, what is $ x $ when $ y = 4 $?

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Question 11:

Solve for $ x $ if $ 3x + 2 = 14 $.

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Question 12:

A right triangle has legs of length 9 cm and 12 cm. What is the length of the hypotenuse?

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Question 13:

If a car travels 300 miles in 5 hours, what is the average speed in miles per hour?

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Question 14:

If $ \frac{7}{4} x = 8 $, what is $ x $?

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Question 15:

What is the least common multiple (LCM) of 12 and 15?

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Question 16:

Solve for $ x $: \[ x^2 - 6x + 9 = 0 \]

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Question 17:

If \[ g(x) = 2x^2 - 5x + 3, find g(2). \]

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Question 18:

What is the area of a circle with a diameter of 10 cm?

(Use \( \pi \approx 3.14 )

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Question 19:

Find the surface area of a cube with side length 4 cm.

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Question 20:

A dataset contains the numbers 12, 15, 18, 20, and 25. What is the range?

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Question 21:

A company's sales increased from $1,500,000 to $2,000,000 in one year. What was the percentage increase?

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Question 22:

Simplify the expression: $ (3x - 2)(2x + 5) $

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Question 23:

Solve for $ z $ if $ 4z - 7 = 3z + 5 $.

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Question 24:

What is the value of $ x $ in the equation $ 2(x + 3) = 5x - 4 $?

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Question 25:

If the probability of an event occurring is 0.25, what is the probability that the event does not occur?

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Question 26:

Find the median of the dataset: 8, 12, 15, 22, 26, 29.

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Question 27:

What is the standard deviation of the dataset: 3, 7, 7, 8, 10, 15?

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GRE Questions

1.
It has been suggested that long-term prisoners, on release from jail, be given a reasonable state pension to reduce the likelihood of their resorting to crime. Most people instinctively reject the suggestion as they feel it would be like rewarding criminal activity. The supporters of the prisoners' pension scheme have criticized those who reject this possibility, by claiming that for the critics...
Which of the following is the most logical completion of the sentence above?
- emotion is more important than justice
- punishment for criminals is more important than crime prevention
- crime prevention is not an important issue
- money has too high a value
- the law should not be concerned with what happens after jail
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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.
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.
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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.
“Reviving the practice of using elements of popular music in classical composition, an approach that had been in hibernation in the United States during the 1960s, composer Philip Glass (born 1937) embraced the ethos of popular music in his compositions. Glass based two symphonies on music by rock musicians David Bowie and Brian Eno, but the symphonies' sound is distinctively his. Popular elements do not appear out of place in Glass's classical music, which from its early days has shared certain harmonies and rhythms with rock music. Yet this use of popular elements has not made Glass a composer of popular music. His music is not a version of popular music packaged to attract classical listeners; it is high art for listeners steeped in rock rather than the classics.
6.
“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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GRE 2024 Qantitative Reasoning Practice Test 4 Question Paper with Solutions PDF

GRE Questions

6.“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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6.
“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.”