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

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) \( 48 \)

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) \( 19 \)

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) \( 11 \)

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) \( 2y \)

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) \( 0 \)

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) \( 8 \)

Question 7:

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

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

Question 8:

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

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

Question 9:

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

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

Question 10:

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

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

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) \( 28 \)

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) \( 144 \)

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) \( 10\pi \)

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) \( 64 \)

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) \( 64 \)

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

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

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

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

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) \( \frac{4}{5} \)

GRE Questions

  • 1.
    Complete the paragraph from the given words. It is refreshing to read a book about our planet by an author who does not allow facts to be (i) _________ by politics: well aware of the political disputes about the effects of human activities on climate and biodiversity, this author does not permit them to (ii) _________ his comprehensive description of what we know about our biosphere. He emphasizes the enormous gaps in our knowledge, the sparseness of our observations, and the (iii) _________, calling attention to the many aspects of planetary evolution that must be better understood before we can accurately diagnose the condition of our planet. Fill in the blanks from the following:

      • overshadowed
      • invalidated
      • illuminated
      • enhance
      • obscure

    • 2.
      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.


        • 3.
          “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.


            • 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.

              • 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

                • 6.
                  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?

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