GRE 2024 Quantitative Reasoning Practice Test Set 19 Question Paper with Solutions PDF

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Updated on, Oct 13, 2025

byShivam Yadav

GRE 2024 Quantitative Reasoning Practice Test Set 19 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 19 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Set 19 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test Set 19 Question Paper with Solutions PDF

Question 1:


Quantity A: \(2^{60}\)

Quantity B: \(8^{20}\)

 

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

Question 2:


Given the equation \(x^2 - 5x = 6 - y^2 + 3y = 9y + 9\).

Quantity A: \(x\)

Quantity B: \(y\)

 

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

Question 3:


Working at a constant rate, Bob can produce \(\frac{x}{3}\) widgets in 8 minutes. Working at a constant rate, Jack can produce \(2x\) widgets in 40 minutes, where \(x > 0\).

Quantity A: The number of minutes it will take Bob to produce \(5x\) widgets.

Quantity B: The number of minutes it will take Jack to produce \(6x\) widgets.

 

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

Question 4:


Given \(t > 1\).

Quantity A: \(\frac{1}{(1 + \frac{1}{t})^2}\)

Quantity B: \(\frac{1}{(1 + \frac{1}{\sqrt{t}})^2}\)

 

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

Question 5:


From 1992 to 1993, the price of a home increased by \(x%\). From 1993 to 1994, the price of the home then decreased by \(x%\).

Quantity A: The price of the home at the beginning of 1992.

Quantity B: The price of the home at the beginning of 1994.

 

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

Question 6:


Quantity A: The product of the consecutive integers from 20 through 73, inclusive.

Quantity B: The product of the consecutive integers from 18 through 72, inclusive.

 

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

Question 7:


Line p is defined by the equation \(2y + 3x = 6\).

Quantity A: The y-intercept of line p.

Quantity B: The x-intercept of line p.

 

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

Question 8:


The length of rectangle x is 20% greater than the length of rectangle y. The width of rectangle x is 20% less than the width of rectangle y.

Quantity A: The area of rectangle x.

Quantity B: The area of rectangle y.

 

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

Question 9:


If the function f(x) is defined as \(f(x) = 3(x + 2) + 5\), then \(f(a - 2) =\)
 

  • (A) \(3a\)
  • (B) \(3a + 5\)
  • (C) \(3a + 11\)
  • (D) \(3a - 1\)
  • (E) \(3a - 6\)

Question 10:


If the ratio of stocks to bonds in a certain portfolio is 5:3, then which of the following CANNOT be the total number of stocks and bonds?
 

  • (A) 8
  • (B) 50
  • (C) 120
  • (D) 160
  • (E) 200

Question 11:


What is the greatest integer, x, such that \( \left( \frac{125^x}{25^6} \right) < 1 \)?
 


Question 12:


For this question, indicate all of the answer choices that apply.

If \((x^2)(y^3) \textgreater 0\), and \((x)(y^2)(z) \textless 0\), which of the following must be true?

 

  • (A) \(x > 0\)
  • (B) \(z < 0\)
  • (C) \(xy > 0\)
  • (D) \(yz < 0\)
  • (E) \(\frac{y^2}{z} < 0\)
  • (F) \(xyz < 0\)

Question 13:


Five friends agree to split the cost of a lunch equally. If one of the friends does not attend the lunch, the remaining four friends would each have to pay an additional
(6. What is the cost of the lunch?

 

  • (A) 20
  • (B) 24
  • (C) 80
  • (D) 100
  • (E) 120

Question 14:


If a six-sided die is rolled three times, what is the probability that the die will land on an even number exactly twice and on an odd number exactly once?
 

  • (A) \(\frac{1}{8}\)
  • (B) \(\frac{1}{4}\)
  • (C) \(\frac{3}{8}\)
  • (D) \(\frac{1}{2}\)
  • (E) \(\frac{5}{8}\)

Question 15:





For how many years did expenses exceed revenue?

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 7
  • (E) 8

Question 16:






The percent change in profit from 2007 to 2008 is approximately what percent greater than the percent change in profit from 2008 to 2009?

  • (A) 500%
  • (B) 6%
  • (C) 1,500%
  • (D) 1,600%
  • (E) 1,700%

Question 17:





If the revenues in 2009 were $3 million less, and the expenses for 2009 were $4 million more, then the average (arithmetic mean) annual profit for the 10 years shown would be approximately how much less?

  • (A)300,000
  • (B)400,000
  • (C)600,000
  • (D)700,000
  • (E)1,000,000

Question 18:


In 1998, the list price of a home was \(\frac{1}{3}\) greater than the original price. In 2008, the list price of the home was \(\frac{1}{2}\) greater than the original price. By what percent did the list price of the home increase from 1998 to 2008? (Note: The fractions were missing in the text and have been inferred).
 

  • (A) 10%
  • (B) 12.5%
  • (C) \(16\frac{2}{3}\)%
  • (D) \(33\frac{1}{3}\)%
  • (E) 50%

Question 19:


The figure above represents a square photograph bordered by a frame that has a uniform width of 3 inches. If the frame and the picture have the same area, and each of the photograph's sides measures x inches, which of the following equations is true?
 

  • (A) \(x^2 = 6x + 9\)
  • (B) \(x^2 = 3x^2 + 2x\)
  • (C) \(x^2 = 12x + 36\)
  • (D) \(x^2 = 6x + 36\)
  • (E) \(x^2 = 6x^2 + 4x\)

Question 20:


On the xy-plane, the center of circle C is at point (3, -2). If the point (10, -2) lies outside of the circle and the point (3, 3) lies inside of the circle, which of the following could be the radius of the circle?
 

  • (A) 5
  • (B) 5.5
  • (C) 6
  • (D) 6.5
  • (E) 7

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