GRE 2024 Quantitative Reasoning Practice Test Set 9 Question Paper with Solutions PDF

Shivam Yadav logo
QHgemN, Oct 13, 2025

byShivam Yadav

GRE 2024 Quantitative Reasoning Practice Test Set 9 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 9 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Set 9 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test Set 9 Question Paper with Solutions PDF

Question 1:

Simplify: \( x2y - 5x2y2x2y \)

  • (A) \( 1 - 5x \)
  • (B) None of the other answers
  • (C) \( y - 5y \)
  • (D) \( 5 + x2y2 \)
  • (E) \( 1 - 5y \)

Question 2:

A function \( f(x) = -1 \) for all values of \( x \). Another function \( g(x) = 3x \) for all values of \( x \). What is \( g(f(x)) \) when \( x = 4 \)?

  • (A) \(-3\)
  • (B) \(3\)
  • (C) \(12\)
  • (D) \(-12\)
  • (E) \(-1\)

Question 3:

Factorize: \( 25x^2 - 36y^2 \)

  • (A) Cannot be factored
  • (B) \( (5x + 6y)(5x + 6y) \)
  • (C) \( (5x - 6y)(5x - 6y) \)
  • (D) \( (5x - 6y)(5x + 6y) \)
  • (E) \( 5 \times 6 \times (x^2 - y^2) \)

Question 4:

If \( -1 < w < 1 \), all of the following must also be greater than \(-1\) and less than 1 EXCEPT for which choice?

  • (A) \( w^2 \)
  • (B) \( \dfrac{3w}{2} \)
  • (C) \( |w| \)
  • (D) \( \dfrac{w}{2} \)
  • (E) \( |w|^{0.5} \)

Question 5:

In the equation below, \( m, p, k \) are non-zero numbers. What is the value of \( m \) in terms of \( p \) and \( k \)?
\( 1m3 - 1k2 = 1p \)

  • (A) \( m = (pk2p + k2)_{13} \)
  • (B) \( m = (p + k2)_{3} \)
  • (C) \( m = p2k3p + k2 \)
  • (D) \( m = p_{12} - k_{13} \)
  • (E) \( m = (p + k2pk2)_{13} \)

Question 6:

For the quantities below, \( x < y \) and \( x \) and \( y \) are both integers.

Quantity A: \( x^5 y^3 \)

Quantity B: \( x^4 y^4 \)

  • (A) Quantity A is greater.
  • (B) Quantity B is greater.
  • (C) The two quantities are equal.
  • (D) The relationship cannot be determined from the information provided.

Question 7:

Solve the inequality: \[ 6(x - 1) < 7(3 - x) \]

  • (A) \( x < 127 \)
  • (B) \( x > 1327 \)
  • (C) \( x > -1117 \)
  • (D) \( x < 2713 \)
  • (E) \( x > -1327 \)

Question 8:

\( h(x) = \frac{28x + 4}{x - 4} \). For which of the following values of \(x\) is the function undefined?

  • (A) \( 4 \)
  • (B) \( 28 \)
  • (C) \(-4\)
  • (D) 0
  • (E) None of the other answers

Question 9:

If \( 4xs = v \), \( v = ks \), and \( sv \neq 0 \), which of the following is equal to \(k\)?

  • (A) \( 4xv \)
  • (B) \( x \)
  • (C) \( 4x \)
  • (D) \( 2xv \)
  • (E) \( xv \)

Question 10:

Solve the quadratic equation: \[ 3x^2 - 11x = -10 \]

  • (A) \(-2\)
  • (B) \(\frac{5}{3}\)
  • (C) \(3\)
  • (D) \(-\frac{5}{3}\)
  • (E) None of the other answers

Question 11:

Evaluate: \[ y = 3^{13} - 9^5 (127)^{-3} \]

  • (A) 24
  • (B) 30
  • (C) 27
  • (D) 81
  • (E) 73

Question 12:

Solve for \(x\): \[ 2^{x+1} = 128 \]

  • (A) 6
  • (B) 8
  • (C) 7
  • (D) 5
  • (E) 9

Question 13:

Evaluate: \[ 0.0075 \div 0.0126 \]

  • (A) 0.000945
  • (B) \(9.45 \times 10^{-5}\)
  • (C) \(9.45 \times 10^{-6}\)
  • (D) 0.945

Question 14:

A five-year bond is opened with $5000 at an interest rate of 2.5%, compounded annually. Find the approximate total after 5 years.

  • (A)5518
  • (B)5657
  • (C)5811
  • (D)5625
  • (E)6143

Question 15:

In a four-digit positive integer \(y\), the thousand's digit is three times the unit's digit. Compare the unit's digit of \(y\) (Quantity A) with 4 (Quantity B).

  • (A) Quantity B is greater.
  • (B) The relationship cannot be determined.
  • (C) The two quantities are equal.
  • (D) Quantity A is greater.

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  • 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.


      • 2.
        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?

        • 3.
          Jean Valjean, the protagonist in Victor Hugo’s novel Les Misérables, spends the bulk of his lengthy _______ plotting a very clever set of revenge schemes, which he executes upon his escape.

            • ruination
            • peregrination
            • immolation
            • rumination

          • 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.
              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

              • 6.
                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.

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