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) \( 1 + \frac{x}{4} \)

View Solution

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GRE Questions

1.
The following appeared in a memorandum from the manager of WWAC radio station.
“To reverse a decline in listener numbers, our owners have decided that WWAC must change from its current rock-music format. The decline has occurred despite population growth in our listening area, but that growth has resulted mainly from people moving here after their retirement. We must make listeners of these new residents. We could try playing music tailored to their tastes, but a continuing decline in local sales of recorded music suggests limited interest in music. Instead, we should change to a news and talk format, a form of radio that is increasingly popular in our area.”
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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2.
Called by some the “island that time forgot,” Madagascar is home to a vast array of unique, exotic creatures. One such animal is the aye-aye. First described by western science in 1782, it was initially categorized as a member of the order Rodentia. Further research then revealed that it was more closely related to the lemur, a member of the primate order. Since the aye-aye is so different from its fellow primates, however, it was given its own family: Daubentoniidae. The aye-aye has been listed as an endangered species and, as a result, the government of Madagascar has designated an island off the northeastern coast of Madagascar as a protected reserve for aye-ayes and other wildlife.
Long before Western science became enthralled with this nocturnal denizen of Madagascar’s jungles, the aye-aye had its own reputation with the local people. The aye aye is perhaps best known for its large, round eyes and long, extremely thin middle finger. These adaptations are quite sensible, allowing the aye-aye to see well at night and retrieve grubs, which are one of its primary food sources, from deep within hollow branches. However, the aye-aye’s striking appearance may end up causing its extinction. The people of Madagascar believe that the aye-aye is a type of spirit animal, and that its appearance is an omen of death. Whenever one is sighted, it is immediately killed. When combined with the loss of large swaths of jungle habitat, this practice may result in the loss of a superb .

3.
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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4.
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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5.
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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6.
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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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

5.
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 Set 3 Question Paper with Solutions PDF

GRE Questions

5.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.

Comments

SUBSCRIBE TO OUR NEWS LETTER

5.
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.