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.
    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?

    • 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.
          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

          • 4.
            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?

            • 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.
                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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