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

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Updated on, 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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