GRE 2025 Quantitative Reasoning Sample Paper Set 2 Question Paper with Solutions PDF

GRE 2025 Quantitative Reasoning Sample Paper Set 2 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 2025 Quantitative Reasoning Sample Paper Set 2 Question Paper with Solutions PDF

GRE 2025 Quantitative Reasoning Set 2 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2025 Quantitative Reasoning Sample Paper Set 2 Question Paper with Solutions PDF

For each of Questions 1--9, compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices. A symbol that appears more than once in a question has the same meaning throughout the question.

Question 1:

Quantity A: The dollar value of 1 Argentine peso

Quantity B: The dollar value of 1 Kenyan shilling

  • (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 given.

Question 2:

\( k \) is a digit in the decimal \( 1.3k5 \), and \( 1.3k5 \) is less than \( 1.33 \).

Quantity A: \( k \)

Quantity B: \( 1 \).

  • (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 given.

Question 3:

\( AB \) is a diameter of the circle. Compare:

Quantity A: The length of \( AB \)

Quantity B: The average (arithmetic mean) of the lengths of \( AC \) and \( AD \).


  • (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 given.

Question 4:

Given that \( st = \sqrt{10} \). Compare:

Quantity A: \( s^2 \)

Quantity B: \( \dfrac{10}{t^2} \)

  • (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 given.

Question 5:

Three consecutive integers have a sum of \(-84\). Compare:

Quantity A: The least of the three integers

Quantity B: \(-28\)

  • (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 given.

Question 6:

In the \( xy \)-plane, the equation of line \( k \) is \( 3x - 2y = 0 \). Compare:

Quantity A: The \( x \)-intercept of line \( k \)

Quantity B: The \( y \)-intercept of line \( k \)

  • (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 given.

Question 7:

\( n \) is a positive integer that is divisible by 6. Compare:

Quantity A: The remainder when \( n \) is divided by 12

Quantity B: The remainder when \( n \) is divided by 18

  • (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 given.

Question 8:

Given that \( \dfrac{1-x}{x-1} = \dfrac{1}{x} \). Compare:

Quantity A: \( x \)

Quantity B: \( -\dfrac{1}{2} \)

  • (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 given.

Question 9:

Compare:

Quantity A: The median of the 24 integers

Quantity B: 50

  • (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 given.

Question 10:

In the \( xy \)-plane, line \( k \) is a line that does not pass through the origin.
Which of the following statements individually provide(s) sufficient additional information to determine whether the slope of line \( k \) is negative?

  • (A) The \( x \)-intercept of line \( k \) is twice the \( y \)-intercept of line \( k \).
  • (B) The product of the \( x \)-intercept and the \( y \)-intercept of line \( k \) is positive.
  • (C) Line \( k \) passes through the points \( (a, b) \) and \( (r, s) \), where \( (a-r)(b-s) < 0 \).

Question 11:

The distance from Centerville to a freight train is given by the expression \(-10t + 115\), and the distance from Centerville to a passenger train is given by the expression \(-20t + 150\).
The expressions above give the distance from Centerville to each of two trains \( t \) hours after 12:00 noon. At what time after 12:00 noon will the trains be equidistant from Centerville?

  • (A) 1:30
  • (B) 3:30
  • (C) 5:10
  • (D) 8:50
  • (E) 11:30

Question 12:

The company at which Mark is employed has 80 employees, each of whom has a different salary. Mark’s salary of
(43,700 is the second-highest salary in the first quartile of the 80 salaries.
If the company were to hire 8 new employees at salaries that are less than the lowest of the 80 salaries, what would Mark’s salary be with respect to the quartiles of the 88 salaries at the company, assuming no other changes in the salaries?

  • (A) The fourth-highest salary in the first quartile
  • (B) The highest salary in the first quartile
  • (C) The second-lowest salary in the second quartile
  • (D) The third-lowest salary in the second quartile
  • (E) The fifth-lowest salary in the second quartile

Question 13:

The point with coordinates \((-6,-7)\) is the center of circle \( C \). The point \((-6,5)\) lies inside circle \( C \), and the point \((8,-7)\) lies outside circle \( C \). What is the radius of circle \( C \)?

  • (A) 10
  • (B) 11
  • (C) 12
  • (D) 13
  • (E) 14

Question 14:

If \(-\dfrac{m}{19}\) is an even integer, which of the following must be true?

  • (A) \( m \) is a negative number.
  • (B) \( m \) is a positive number.
  • (C) \( m \) is a prime number.
  • (D) \( m \) is an odd integer.
  • (E) \( m \) is an even integer.

Question 15:

The integer \( v \) is greater than 1. If \( v \) is the square of an integer, which of the following numbers must also be the square of an integer? Indicate all such numbers.

  • (A) \( 81v \)
  • (B) \( 25v + 10\sqrt{v} + 1 \)
  • (C) \( 4v^2 + 4\sqrt{v} + 1 \)

Question 16:

The speed, in miles per hour, at which the car travels a distance of 52 feet during reaction time is closest to which of the following?

  • (A) 43
  • (B) 47
  • (C) 51
  • (D) 55
  • (E) 59

Question 17:

Approximately what is the total stopping distance, in feet, if the car is traveling at a speed of 40 miles per hour when the driver is signaled to stop?

  • (A) 130
  • (B) 110
  • (C) 90
  • (D) 80
  • (E) 70

Question 18:

The total stopping distance for the car traveling at 60 miles per hour is approximately what percent greater than the total stopping distance for the car traveling at 50 miles per hour?

  • (A) 22%
  • (B) 30%
  • (C) 38%
  • (D) 45%
  • (E) 52%

Question 19:

What is the least positive integer that is not a factor of \( 25! \) and is not a prime number?

  • (A) 26
  • (B) 28
  • (C) 36
  • (D) 56
  • (E) 58

Question 20:

What is the least positive integer that is not a factor of \( 25! \) and is not a prime number?

  • (A) 26
  • (B) 28
  • (C) 36
  • (D) 56
  • (E) 58

Question 21:

If \( 0 < a < 1 < b \), which of the following is true about the reciprocals of \( a \) and \( b \)?

  • (A) \( 1 < \frac{1}{a} < \frac{1}{b} \)
  • (B) \( \frac{1}{a} < 1 < \frac{1}{b} \)
  • (C) \( \frac{1}{a} < \frac{1}{b} < 1 \)
  • (D) \( \frac{1}{b} < 1 < \frac{1}{a} \)
  • (E) \( \frac{1}{b} < \frac{1}{a} < 1 \)

Question 22:

In the figure above, \( O \) and \( P \) are the centers of the two circles. If each circle has radius \( r \), what is the area of the shaded region?

  • (A) \( \frac{\sqrt{2}}{2} r^2 \)
  • (B) \( \frac{\sqrt{3}}{2} r^2 \)
  • (C) \( \sqrt{2} r^2 \)
  • (D) \( \sqrt{3} r^2 \)
  • (E) \( 2\sqrt{3} r^2 \)

Question 23:

Of the 20 lightbulbs in a box, 2 are defective. An inspector will select 2 lightbulbs simultaneously and at random from the box. What is the probability that neither of the lightbulbs selected will be defective?



Question 24:

What is the perimeter, in meters, of a rectangular playground 24 meters wide that has the same area as a rectangular playground 64 meters long and 48 meters wide?

  • (A) 112
  • (B) 152
  • (C) 224
  • (D) 256
  • (E) 304

GRE Questions

  • 1.
    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?

    • 2.
      “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.

      • 3.
        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.


          • 4.
            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

            • 5.
              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

              • 6.
                The following appeared in a memorandum from the manager of WWAC radio station.
                “To reverse a decline in listener numbers, our owners have decided that WWAC must change from its current rock-music format. The decline has occurred despite population growth in our listening area, but that growth has resulted mainly from people moving here after their retirement. We must make listeners of these new residents. We could try playing music tailored to their tastes, but a continuing decline in local sales of recorded music suggests limited interest in music. Instead, we should change to a news and talk format, a form of radio that is increasingly popular in our area.”
                Write a response in which you discuss one or more alternative explanations that could rival the proposed explanation and explain how your explanation(s) can plausibly account for the facts presented in the argument.

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