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

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.

GRE Questions

  • 1.
    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

    • 2.
      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.


        • 3.
          Should we really care for the greatest actors of the past could we have them before us? Should we find them too different from our accent of thought, of feeling, of speech, in a thousand minute particulars which are of the essence of all three? Dr. Doran's long and interesting records of the triumphs of Garrick, and other less familiar, but in their day hardly less astonishing, players, do not relieve one of the doubt. Garrick himself, as sometimes happens with people who have been the subject of much anecdote and other conversation, here as elsewhere, bears no very distinct figure. One hardly sees the wood for the trees. On the other hand, the account of Betterton, "perhaps the greatest of English actors," is delightfully fresh. That intimate friend of Dryden, Tillatson, Pope, who executed a copy of the actor's portrait by Kneller which is still extant, was worthy of their friendship; his career brings out the best elements in stage life. The stage in these volumes presents itself indeed not merely as a mirror of life, but as an illustration of the utmost intensity of life, in the fortunes and characters of the players. Ups and downs, generosity, dark fates, the most delicate goodness, have nowhere been more prominent than in the private existence of those devoted to the public mimicry of men and women. Contact with the stage, almost throughout its history, presents itself as a kind of touchstone, to bring out the bizarrerie, the theatrical tricks and contrasts, of the actual world.


            • 4.
              Called by some the “island that time forgot,” Madagascar is home to a vast array of unique, exotic creatures. One such animal is the aye-aye. First described by western science in 1782, it was initially categorized as a member of the order Rodentia. Further research then revealed that it was more closely related to the lemur, a member of the primate order. Since the aye-aye is so different from its fellow primates, however, it was given its own family: Daubentoniidae. The aye-aye has been listed as an endangered species and, as a result, the government of Madagascar has designated an island off the northeastern coast of Madagascar as a protected reserve for aye-ayes and other wildlife.
              Long before Western science became enthralled with this nocturnal denizen of Madagascar’s jungles, the aye-aye had its own reputation with the local people. The aye aye is perhaps best known for its large, round eyes and long, extremely thin middle finger. These adaptations are quite sensible, allowing the aye-aye to see well at night and retrieve grubs, which are one of its primary food sources, from deep within hollow branches. However, the aye-aye’s striking appearance may end up causing its extinction. The people of Madagascar believe that the aye-aye is a type of spirit animal, and that its appearance is an omen of death. Whenever one is sighted, it is immediately killed. When combined with the loss of large swaths of jungle habitat, this practice may result in the loss of a superb .


                • 5.
                  “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.

                  • 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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