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

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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) \( 8 \)

View Solution

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.
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

2.
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

3.
“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

4.
The following appeared in a health newsletter.
"Nosinia is an herb that many users report to be as effective as prescription medications at fighting allergy symptoms. Researchers recently compared Nosinia to a placebo in 95 men and women with seasonal allergies to ragweed pollen. Participants in the study reported that neither Nosinia nor the placebo offered significant relief. However, for the most severe allergy symptoms, the researchers reported that Nosinia was more effective than the placebo in providing relief. Furthermore, at the end of the study, participants given Nosinia were more likely than participants given a placebo to report feeling healthier. We, therefore, recommend using Nosinia to help with your severe allergy symptoms."

How reliable is the study's sample size?
How does the severity of symptoms affect the results?
Was the placebo truly effective in reducing allergy symptoms?
Is there any independent evidence for Nosinia’s effectiveness?

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.
“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

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.
“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.
“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.“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.“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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3.
“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.
“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.”