GRE 2024 Quantitative Reasoning Practice Test 6 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 6 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 6 Question Paper with Solutions PDF

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

Question 1:

A number \( n \) is 20% less than another number \( m \). If \( m = 50 \), what is \( n \)?

(A) \( 35 \)
(B) \( 40 \)
(C) \( 42 \)
(D) \( 45 \)
(E) \( 48 \)

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Question 2:

If \( a \) and \( b \) are positive integers such that \( a \times b = 36 \), and \( a \) is 3 less than twice \( b \), what is the value of \( a + b \)?

(A) \( 11 \)
(B) \( 13 \)
(C) \( 15 \)
(D) \( 17 \)
(E) \( 19 \)

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Question 3:

A bakery sells cupcakes in packs of 6 and packs of 9. If \( p \) packs of 6 and \( q \) packs of 9 are bought, and the total number of cupcakes is 90, what is the smallest possible value of \( p + q \)?

(A) \( 7 \)
(B) \( 8 \)
(C) \( 9 \)
(D) \( 10 \)
(E) \( 11 \)

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Question 4:

If \( x \) is an even integer and \( y = 3x + 5 \), which of the following must be odd?

(A) \( x \)
(B) \( y \)
(C) \( 2x + y \)
(D) \( x + y \)
(E) \( 2y \)

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Question 5:

If a number \( n \) leaves a remainder of 3 when divided by 5, what is the remainder when \( 2n \) is divided by 5?

(A) \( 1 \)
(B) \( 2 \)
(C) \( 3 \)
(D) \( 4 \)
(E) \( 0 \)

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Question 6:

If \( x^2 - 6x + 9 = y \), what is the value of \( y \) when \( x = 4 \)?

(A) \( 4 \)
(B) \( 5 \)
(C) \( 6 \)
(D) \( 7 \)
(E) \( 8 \)

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Question 7:

Solve for \( x \) if \( \frac{x + 2}{x - 3} = 2 \).

(A) \( 4 \)
(B) \( 5 \)
(C) \( 6 \)
(D) \( 7 \)
(E) \( 8 \)

View Solution

Question 8:

If \( f(x) = 2x^2 - 3x + 4 \), what is \( f(2) - f(-2) \)?

(A) \( 20 \)
(B) \( 22 \)
(C) \( 24 \)
(D) \( 26 \)
(E) \( 28 \)

View Solution

Question 9:

If \( 3x + 2y = 6 \) and \( 2x - y = 4 \), what is \( x + y \)?

(A) \( 0 \)
(B) \( 1 \)
(C) \( 2 \)
(D) \( 3 \)
(E) \( 4 \)

View Solution

Question 10:

If \( x^2 - 4x + 4 = 0 \), what is the sum of the roots?

(A) \( -4 \)
(B) \( -2 \)
(C) \( 0 \)
(D) \( 2 \)
(E) \( 4 \)

View Solution

Question 11:

In triangle \( ABC \), if \( AB = 6 \), \( BC = 8 \), and \( AC = 10 \), what is the area of the triangle?

(A) \( 24 \)
(B) \( 25 \)
(C) \( 26 \)
(D) \( 27 \)
(E) \( 28 \)

View Solution

Question 12:

A rectangle has a length that is twice its width. If the perimeter is 48 units, what is the area of the rectangle?

(A) \( 96 \)
(B) \( 108 \)
(C) \( 120 \)
(D) \( 132 \)
(E) \( 144 \)

View Solution

Question 13:

In a circle with a radius of 5, what is the length of an arc that subtends a central angle of 120 degrees?

(A) \( \frac{5\pi}{3} \)
(B) \( \frac{10\pi}{3} \)
(C) \( 5\pi \)
(D) \( 10\pi \)

View Solution

Question 14:

A cube has a surface area of 54 square units. What is the volume of the cube?

(A) \( 27 \)
(B) \( 36 \)
(C) \( 45 \)
(D) \( 54 \)
(E) \( 64 \)

View Solution

Question 15:

A cube has a surface area of 54 square units. What is the volume of the cube?

(A) \( 27 \)
(B) \( 36 \)
(C) \( 45 \)
(D) \( 54 \)
(E) \( 64 \)

View Solution

Question 16:

A dataset has the following values: 10, 12, 15, 15, 20, 22. What is the range and the median of the dataset?

(A) Range: 10, Median: 15
(B) Range: 12, Median: 15
(C) Range: 12, Median: 16
(D) Range: 10, Median: 16
(E) Range: 10, Median: 15.5

View Solution

Question 17:

In a survey, 60% of respondents prefer coffee, 30% prefer tea, and the remaining prefer neither. If 100 people responded, how many prefer neither?

(A) 5
(B) 10
(C) 15
(D) 20
(E) 25

View Solution

Question 18:

A dataset has the following values: 10, 12, 15, 15, 20, 22. What is the range and the median of the dataset?

(A) Range: 10, Median: 15
(B) Range: 12, Median: 15
(C) Range: 12, Median: 16
(D) Range: 10, Median: 16
(E) Range: 10, Median: 15.5

View Solution

Question 19:

In a survey, 60% of respondents prefer coffee, 30% prefer tea, and the remaining prefer neither. If 100 people responded, how many prefer neither?

(A) 5
(B) 10
(C) 15
(D) 20
(E) 25

View Solution

Question 20:

A bag contains 3 red, 5 blue, and 7 green balls. If a ball is drawn at random, what is the probability it is either red or blue?

(A) \( \frac{1}{3} \)
(B) \( \frac{1}{2} \)
(C) \( \frac{2}{3} \)
(D) \( \frac{3}{5} \)
(E) \( \frac{4}{5} \)

View Solution

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GRE Questions

1.
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.

View Solution

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.
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

4.
“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

5.
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

6.
“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.

GRE 2024 Quantitative Reasoning Practice Test 6 Question Paper with Solutions PDF

GRE 2024 Qantitative Reasoning Practice Test 6 Question Paper with Solutions PDF

GRE Questions

3.
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.
“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.”

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GRE 2024 Qantitative Reasoning Practice Test 6 Question Paper with Solutions PDF

GRE Questions

3.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.“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.”

Comments

SUBSCRIBE TO OUR NEWS LETTER

3.
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.
“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.”