GRE 2024 Quantitative Reasoning Practice Test 5 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 5 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 5 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 5 Question Paper with Solutions PDF

Question 1:

If \( 3x + 2 = 11 \), what is the value of \( x \)?

  • (A) \( 5 \)
  • (B) \( 3 \)
  • (C) \( 4 \)
  • (D) \( 2 \)

Question 2:

The average (arithmetic mean) of 5, 10, 15, and 20 is:

  • (A) \( 12.5 \)
  • (B) \( 15 \)
  • (C) \( 10 \)
  • (D) \( 13 \)

Question 3:

If a car travels 150 miles in 2.5 hours, what is the average speed in miles per hour?

  • (A) \( 50 \) miles per hour
  • (B) \( 55 \) miles per hour
  • (C) \( 60 \) miles per hour
  • (D) \( 65 \) miles per hour

Question 4:

Solve for \( y \): \( 2y - 7 = 3y + 4 \).
 

  • (A) \( -11 \)
  • (B) \( 11 \)
  • (C) \( -7 \)
  • (D) \( 7 \)

Question 5:

If \( f(x) = x^2 - 3x + 2 \), find \( f(2) \).
 

  • (A) \( 0 \)
  • (B) \( 2 \)
  • (C) \( -2 \)
  • (D) \( 4 \)

Question 6:

Expand the expression \( (x + 3)(x - 2) \).
 

  • (A) \( x^2 + x - 6 \)
  • (B) \( x^2 - x - 6 \)
  • (C) \( x^2 + 6x - 6 \)
  • (D) \( x^2 - 6x - 6 \)

Question 7:

If \( x^2 = 16 \), what are the possible values of \( x \)?
 

  • (A) \( 4 \)
  • (B) \( -4 \)
  • (C) \( 4 \) or \( -4 \)
  • (D) \( 0 \)

Question 8:

What is the area of a triangle with a base of 8 cm and a height of 5 cm?
 

  • (A) \( 20 \, cm^2 \)
  • (B) \( 30 \, cm^2 \)
  • (C) \( 40 \, cm^2 \)
  • (D) \( 10 \, cm^2 \)

Question 9:

What is the circumference of a circle with a radius of 7 cm?
 

  • (A) \( 43.96 \, cm \)
  • (B) \( 44.96 \, cm \)
  • (C) \( 40.96 \, cm \)
  • (D) \( 38.96 \, cm \)

Question 10:

Find the length of the hypotenuse of a right triangle with legs of length 6 cm and 8 cm.
 

  • (A) \( 12 \, cm \)
  • (B) \( 10 \, cm \)
  • (C) \( 8 \, cm \)
  • (D) \( 6 \, cm \)

Question 11:

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?
 

  • (A) \( 141.3 \, cm^3 \)
  • (B) \( 120.5 \, cm^3 \)
  • (C) \( 135.5 \, cm^3 \)
  • (D) \( 150.5 \, cm^3 \)

Question 12:

The mean of five numbers is 8. If four of the numbers are 7, 9, 12, and 5, what is the fifth number?
 

  • (A) \( 7 \)
  • (B) \( 8 \)
  • (C) \( 9 \)
  • (D) \( 10 \)

Question 13:

A survey of 200 people found that 120 like coffee, 150 like tea, and 80 like both. How many people do not like either coffee or tea?
 

  • (A) \( 10 \)
  • (B) \( 20 \)
  • (C) \( 30 \)
  • (D) \( 40 \)

Question 14:

A dataset contains the numbers 5, 7, 9, 11, and 13. What is the median?
 

  • (A) \( 7 \)
  • (B) \( 9 \)
  • (C) \( 11 \)
  • (D) \( 13 \)

Question 15:

A jar contains 4 red, 5 blue, and 6 green marbles. If one marble is picked at random, what is the probability it is blue?
 

  • (A) \( \frac{1}{3} \)
  • (B) \( \frac{5}{15} \)
  • (C) \( \frac{4}{15} \)
  • (D) \( \frac{2}{5} \)

Question 16:

Simplify the expression: \( 3(x - 2) + 4 \).
 

  • (A) \( 3x - 2 \)
  • (B) \( 3x + 2 \)
  • (C) \( 3x - 4 \)
  • (D) \( 3x + 4 \)

Question 17:

If \( x \) is directly proportional to \( y \) and \( x = 10 \) when \( y = 2 \), what is \( x \) when \( y = 8 \)?
 

  • (A) \( 30 \)
  • (B) \( 40 \)
  • (C) \( 50 \)
  • (D) \( 60 \)

Question 18:

If \( 2x + 3 = 9 \), what is the value of \( x \)?
 

  • (A) \( 1 \)
  • (B) \( 2 \)
  • (C) \( 3 \)
  • (D) \( 4 \)

Question 19:

A right triangle has one leg of 5 cm and a hypotenuse of 13 cm. What is the length of the other leg?
 

  • (A) \( 10 \, cm \)
  • (B) \( 12 \, cm \)
  • (C) \( 15 \, cm \)
  • (D) \( 14 \, cm \)

GRE Questions

  • 1.
    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

    • 2.
      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 .


        • 3.
          “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.

          • 4.
            “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.


              • 5.
                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.


                  • 6.
                    “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.

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