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

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Updated on, Oct 13, 2025

byShivam Yadav

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.
    “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 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.


        • 3.
          “Claim: A person in authority should always encourage those under him or her to share their thoughts and ideas. Reason: A leader’s main goal should be to promote innovation and change.”

            • Agree, as open dialogue fosters creativity and innovation.
            • Disagree, as not all ideas are practical or beneficial to share.
            • Agree, but only when it is necessary for progress.
            • Disagree, as promoting change without evaluating all ideas can be harmful.

          • 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.
                “Reviving the practice of using elements of popular music in classical composition, an approach that had been in hibernation in the United States during the 1960s, composer Philip Glass (born 1937) embraced the ethos of popular music in his compositions. Glass based two symphonies on music by rock musicians David Bowie and Brian Eno, but the symphonies' sound is distinctively his. Popular elements do not appear out of place in Glass's classical music, which from its early days has shared certain harmonies and rhythms with rock music. Yet this use of popular elements has not made Glass a composer of popular music. His music is not a version of popular music packaged to attract classical listeners; it is high art for listeners steeped in rock rather than the classics.


                  • 6.
                    Complete the paragraph from the given words. It is refreshing to read a book about our planet by an author who does not allow facts to be (i) _________ by politics: well aware of the political disputes about the effects of human activities on climate and biodiversity, this author does not permit them to (ii) _________ his comprehensive description of what we know about our biosphere. He emphasizes the enormous gaps in our knowledge, the sparseness of our observations, and the (iii) _________, calling attention to the many aspects of planetary evolution that must be better understood before we can accurately diagnose the condition of our planet. Fill in the blanks from the following:

                      • overshadowed
                      • invalidated
                      • illuminated
                      • enhance
                      • obscure

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