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

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

GRE 2024 Quantitative Reasoning Set 3 Question Paper with Solutions PDF	Download	Check Solutions

Question 1:

Reduce the following fraction: \[ \frac{a^2b^2 + c^2}{5ab^2} \div \frac{5ab + c}{5c} \]

(A) \( \frac{bc(ab + c)}{5a} \)
(B) \( \frac{ac(ab + c)}{5b} \)
(C) \( \frac{ah(ab + c)}{5c} \)
(D) \( \frac{5abh(ab + c)}{c} \)

View Solution

Question 2:

If \( x = 55 \), \( x + y = 23 \), and \( y - x = 2 \), find the value of \( 2x + y \).

(A) 16
(B) 17
(C) 15
(D) 9
(E) 5

View Solution

Question 3:

Which of the following are answers to the equation below? \[ x^2 - 4 = 0, \quad x^2 + 5x + 6 = 0 \]
I. \( x = 2 \)

II. \( x = -2 \)

III. \( x = -3 \)

(A) I and III
(B) II and III
(C) I, II, and III
(D) I only
(E) II only

View Solution

Question 4:

Find the relationship between Quantity A and Quantity B: \[ (a + b)^2 = 34, \quad \frac{ab}{2} = 6 \]
Quantity A: \( a^2 + b^2 \)

Quantity B: 11

(A) The two quantities are equal.
(B) Quantity A is greater.
(C) Quantity B is greater.
(D) The relationship cannot be determined.

View Solution

Question 5:

The arithmetic mean of \( a, b, c, d \) is 14.

Quantity A: 32

Quantity B: The arithmetic mean of \( a + b \), \( c + d \), and \( a - b + c - d = 48 \)

(A) Quantity A and Quantity B are equal.
(B) Quantity A is greater.
(C) Quantity B is greater.
(D) The relationship between Quantity A and Quantity B cannot be determined.

View Solution

Question 6:

Compare Quantity A and Quantity B:
\[ Quantity A: (x + y)^3, \quad Quantity B: x^3 + y^3 \]
Given that \( x < 0 \) and \( y > 0 \), compare the two quantities.

(A) The relationship cannot be determined.
(B) The two quantities are equal.
(C) Quantity B is greater.
(D) Quantity A is greater.

View Solution

Question 7:

Compare Quantity A and Quantity B: \[ Quantity A: (x + y)^3, \quad Quantity B: x^3 + y^3 \]
Given that \( x < 0 \) and \( y > 0 \), compare the two quantities.

(A) The relationship cannot be determined.
(B) The two quantities are equal.
(C) Quantity B is greater.
(D) Quantity A is greater.

View Solution

Question 8:

Find the algebraic expression to represent the following statement:

The square of \( x \) multiplied by 3, the result has 18 subtracted from it and the final result divided by 15.

(A) \( \frac{3x^2 - 18}{15} \)
(B) \( \frac{(3x^2) - 18}{15} \)
(C) \( \frac{3(x^2 - 18)}{15} \)
(D) \( \frac{(3x^2 - 18)^2}{15} \)
(E) \( \frac{3x^2}{15} - 18 \)

View Solution

Question 9:

Compare Quantity A and Quantity B and determine which is larger.
\[ Quantity A: x^3 - 6, \quad Quantity B: x + 1 \]
For when \( x < 2 \), compare the two quantities.

(A) Quantity A is larger.
(B) The two quantities are equal.
(C) Quantity B is larger.
(D) Can't be determined from the information provided.

View Solution

Question 10:

How many real solutions are there for the following equation? \[ x^4 + 5x^2 - 14 = 0 \]

(A) 1
(B) 0
(C) 4
(D) 2

View Solution

Question 11:

Simplify the following expression: \[ 3\sqrt{27} + 5\sqrt{18} - 3\sqrt{147} \]

(A) \( 8\sqrt{3} \)
(B) \( 5\sqrt{72} \)
(C) \( 5\sqrt{3} \)
(D) \( 2\sqrt{76} \)
(E) Cannot be simplified further

View Solution

Question 12:

Simplify the following expression: \[ 0.327 + \left( \frac{3}{8} \times (0.048 + 2.176) \right) \]

(A) 0.0532
(B) 1.242
(C) 0.793
(D) 1.522

View Solution

Question 13:

Which of the following is true? \[ Quantity A: \frac{12}{11} \div \frac{7}{6}, \quad Quantity B: \frac{17}{8} \div \frac{7}{6} \]

(A) The relationship between the quantities cannot be determined.
(B) Quantity B is larger.
(C) The two quantities are equal.
(D) Quantity A is larger.

View Solution

Question 14:

If the product of two distinct integers is 143, which of the following could not represent the sum of those two integers?

(A) 144
(B) -144
(C) 24
(D) -24
(E) 11

View Solution

Question 15:

A cake order cost 45.40 before tax. If the tax rate is 6.5%, what is the price of the cake after tax is applied?

(A)48.99
(B)5.34
(C)49.42
(D)48.35
(E)2.95

View Solution

Question 16:

At an overpriced department store there are 112 customers. If 43 have purchased shirts, 57 have purchased pants, and 38 have purchased neither, how many purchased both shirts and pants?

(A) 74
(B) 26
(C) 38
(D) 14
(E) The answer cannot be determined.

View Solution

Question 17:

The arithmetic mean of \( a, b, \) and \( c \) is 13.

Quantity A: The arithmetic mean of \( 2a + b, b + 3c, 39 - c \)

Quantity B: 39

(A) The two quantities are equal.
(B) Quantity B is greater.
(C) The relationship cannot be established.
(D) Quantity A is greater.

View Solution

Question 18:

A boy with a lemonade stand sells cups of lemonade for a quarter each. He has bought 20 worth of supplies and is able to make 500 cups of lemonade with the supplies. If he has to pay a business tax of 4% for each cup he sells, how many cups will he have to sell in order to break even?

(A) 83.2 cups
(B) 84 cups
(C) 83 cups
(D) It is impossible for him to profit from this business venture.
(E) 92 cups

View Solution

Question 19:

The average of five consecutive integers is 6. What is the largest of these integers?

(A) 7
(B) 6
(C) 12
(D) 8
(E) 10

View Solution

Question 20:

Simplify: \[ \frac{1}{2} + \frac{x}{4} \]

(A) \( 1 + \frac{x}{16} \)
(B) \( \frac{3x + 4}{8} \)
(C) \( x + \frac{6}{32} \)
(D) \( x + \frac{12}{3} \)
(E) \( 1 + \frac{x}{4} \)

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GRE Questions

1.
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

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2.
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

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.

View Solution

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 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.

View Solution

6.
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

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

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

GRE Questions

1.
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.

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.
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.

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

GRE Questions

1.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.

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.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.

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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.

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.
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.