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.
    “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.

    • 2.
      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?

      • 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.
          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

          • 5.
            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.


              • 6.
                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.

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