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 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

2.
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

3.
“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.

View Solution

4.
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

View Solution

5.
Should we really care for the greatest actors of the past could we have them before us? Should we find them too different from our accent of thought, of feeling, of speech, in a thousand minute particulars which are of the essence of all three? Dr. Doran's long and interesting records of the triumphs of Garrick, and other less familiar, but in their day hardly less astonishing, players, do not relieve one of the doubt. Garrick himself, as sometimes happens with people who have been the subject of much anecdote and other conversation, here as elsewhere, bears no very distinct figure. One hardly sees the wood for the trees. On the other hand, the account of Betterton, "perhaps the greatest of English actors," is delightfully fresh. That intimate friend of Dryden, Tillatson, Pope, who executed a copy of the actor's portrait by Kneller which is still extant, was worthy of their friendship; his career brings out the best elements in stage life. The stage in these volumes presents itself indeed not merely as a mirror of life, but as an illustration of the utmost intensity of life, in the fortunes and characters of the players. Ups and downs, generosity, dark fates, the most delicate goodness, have nowhere been more prominent than in the private existence of those devoted to the public mimicry of men and women. Contact with the stage, almost throughout its history, presents itself as a kind of touchstone, to bring out the bizarrerie, the theatrical tricks and contrasts, of the actual world.

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.

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

2.
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.

3.
“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.”

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.”

Comments

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

GRE Questions

2.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.

3.“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.”

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.”

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
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.

3.
“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.”

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.”