GRE 2024 Quantitative Reasoning Practice Test 3 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 3 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 3 Question Paper with Solutions PDF

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

Question 1:

If \( \frac{2}{3}x - 5 = \frac{1}{3}x + 7 \), what is the value of \( x \)?

(A) 12
(B) 24
(C) 36
(D) 42

View Solution

Question 2:

The average (arithmetic mean) of five numbers is 14. If four of the numbers are 10, 12, 18, and 20, what is the fifth number?
Options

(A) 8
(B) 10
(C) 12
(D) 14

View Solution

Question 3:

If a car travels at an average speed of 55 miles per hour for the first 2 hours and 65 miles per hour for the next 3 hours, what is the total distance traveled?
Options

(A) 250 miles
(B) 275 miles
(C) 300 miles
(D) 305 miles

View Solution

Question 4:

Simplify the expression \( \frac{5x}{2x} + \frac{3}{2x} \).
Options

(A) \( \frac{8x}{2x} \)
(B) \( \frac{13}{2x} \)
(C) \( \frac{15x}{2x} \)
(D) \( \frac{13x}{2x} \)

View Solution

Question 5:

Solve for \( y \): \( 4y - 3(2y + 1) = 5 \).
Options

(A) \( y = 4 \)
(B) \( y = -4 \)
(C) \( y = 2 \)
(D) \( y = -2 \)

View Solution

Question 6:

If \( f(x) = 2x^2 - 3x + 1 \), find \( f(-1) \).
Options

(A) 4
(B) 5
(C) 6
(D) 7

View Solution

Question 7:

Expand the expression \( (2x - 3)(x + 4) \).
Options

(A) \( 2x^2 + 8x - 3 \)
(B) \( 2x^2 + 5x - 12 \)
(C) \( 2x^2 - 5x - 12 \)
(D) \( 2x^2 + 12x - 3 \)

View Solution

Question 8:

If \( x^2 - 5x + 6 = 0 \), what are the possible values of \( x \)?
Options

(A) \( x = 1 \) or \( x = 6 \)
(B) \( x = 2 \) or \( x = 3 \)
(C) \( x = -2 \) or \( x = -3 \)
(D) \( x = -1 \) or \( x = 6 \)

View Solution

Question 9:

What is the area of a trapezoid with bases of lengths 6 cm and 10 cm, and a height of 5 cm?
Options

(A) 30 cm\(^2\)
(B) 35 cm\(^2\)
(C) 40 cm\(^2\)
(D) 50 cm\(^2\)

View Solution

Question 10:

What is the volume of a cone with a radius of 3 cm and a height of 4 cm? (Use \( \pi \approx 3.14 \))
Options

(A) 28.26 cm\(^3\)
(B) 37.68 cm\(^3\)
(C) 40.20 cm\(^3\)
(D) 45.12 cm\(^3\)

View Solution

Question 11:

Find the length of the diagonal of a rectangle with length 8 cm and width 6 cm.
Options

(A) 8 cm
(B) 9 cm
(C) 10 cm
(D) 12 cm

View Solution

Question 12:

What is the surface area of a sphere with a radius of 5 cm? (Use \( \pi \approx 3.14 \))
Options

(A) 125 cm\(^2\)
(B) 200 cm\(^2\)
(C) 314 cm\(^2\)
(D) 350 cm\(^2\)

View Solution

Question 13:

A dataset contains the numbers 5, 7, 9, 11, 13, and 15. What is the standard deviation?
Options

(A) 2.58
(B) 3.74
(C) 4.20
(D) 5.00

View Solution

Question 14:

A survey of 300 people found that 180 like coffee, 120 like tea, and 90 like both. How many people like only coffee?
Options

(A) 60
(B) 90
(C) 120
(D) 210

View Solution

Question 15:

A pie chart shows the distribution of expenses for a household: 25% for housing, 15% for food, 20% for transportation, and the rest for other expenses. What percentage is spent on other expenses?
Options

(A) 35%
(B) 40%
(C) 45%
(D) 50%

View Solution

Question 16:

A company's revenue increased from
(200{,}000 in 2019 to
)250{,}000 in 2020. What is the percentage increase?
Options

(A) 20%
(B) 22.5%
(C) 25%
(D) 30%

View Solution

Question 17:

Simplify the expression: \( \frac{3x - 4}{x} + \frac{2x + 5}{x} \).
Options

(A) \( \frac{5x + 1}{x} \)
(B) \( 5 + \frac{1}{x} \)
(C) \( \frac{5}{x} + 1 \)
(D) \( \frac{1}{x} - 5 \)

View Solution

Question 18:

If \( x \) is inversely proportional to \( y \) and \( x = 10 \) when \( y = 2 \), what is \( x \) when \( y = 8 \)?
Options

(A) 1.5
(B) 2
(C) 2.5
(D) 4

View Solution

Question 19:

If \( 4x + 7 = 3x + 12 \), what is the value of \( x \)?
Options

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

View Solution

Question 20:

A right triangle has one leg of 8 cm and a hypotenuse of 17 cm. What is the length of the other leg?
Options

(A) 12 cm
(B) 13 cm
(C) 15 cm
(D) 16 cm

View Solution

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GRE Questions

1.
Complete the paragraph from the given words. It is refreshing to read a book about our planet by an author who does not allow facts to be (i) _____ by politics: well aware of the political disputes about the effects of human activities on climate and biodiversity, this author does not permit them to (ii) _ his comprehensive description of what we know about our biosphere. He emphasizes the enormous gaps in our knowledge, the sparseness of our observations, and the (iii) _____, calling attention to the many aspects of planetary evolution that must be better understood before we can accurately diagnose the condition of our planet. Fill in the blanks from the following:

overshadowed
invalidated
illuminated
enhance
obscure

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2.
Jean Valjean, the protagonist in Victor Hugo’s novel Les Misérables, spends the bulk of his lengthy _______ plotting a very clever set of revenge schemes, which he executes upon his escape.

ruination
peregrination
immolation
rumination

View Solution

3.
“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.

4.
“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.

View Solution

5.
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?

View Solution

6.
Melvin’s little sister was so ________ that she would believe anything he told her, and his burgeoning sense of maturity rendered him increasingly loath to gull her.

dogged
tenable
fractious
frivolous
credulous

View Solution

GRE 2024 Quantitative Reasoning Practice Test 3 Question Paper with Solutions PDF

GRE 2024 Qantitative Reasoning Practice Test 3 Question Paper with Solutions PDF

GRE Questions

2.
Jean Valjean, the protagonist in Victor Hugo’s novel Les Misérables, spends the bulk of his lengthy _______ plotting a very clever set of revenge schemes, which he executes upon his escape.

4.
“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.”

6.
Melvin’s little sister was so ________ that she would believe anything he told her, and his burgeoning sense of maturity rendered him increasingly loath to gull her.

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GRE 2024 Qantitative Reasoning Practice Test 3 Question Paper with Solutions PDF

GRE Questions

2.Jean Valjean, the protagonist in Victor Hugo’s novel Les Misérables, spends the bulk of his lengthy _______ plotting a very clever set of revenge schemes, which he executes upon his escape.

4.“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.”

6.Melvin’s little sister was so ________ that she would believe anything he told her, and his burgeoning sense of maturity rendered him increasingly loath to gull her.

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2.
Jean Valjean, the protagonist in Victor Hugo’s novel Les Misérables, spends the bulk of his lengthy _______ plotting a very clever set of revenge schemes, which he executes upon his escape.

4.
“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.”

6.
Melvin’s little sister was so ________ that she would believe anything he told her, and his burgeoning sense of maturity rendered him increasingly loath to gull her.