GRE 2024 Quantitative Reasoning Practice Test 4 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test 4 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 4 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 4 Question Paper with Solutions PDF

Question 1:

If \( \frac{3}{5}x - 2 = 1 \), what is \( x \)?

  • (A) 3
  • (B) 4
  • (C) 5
  • (D) 6

Question 2:

What is the sum of the first 20 positive integers?

  • (A) 190
  • (B) 200
  • (C) 210
  • (D) 220

Question 3:

Solve for \( y \): \( y^2 - 9 = 0 \).

  • (A) \( y = 3 \)
  • (B) \( y = -3 \)
  • (C) \( y = 0 \)
  • (D) No solution

Question 4:

If \( f(x) = x^3 - 4x + 1 \), find \( f(-2) \).

  • (A) \( 3 \)
  • (B) \( 1 \)
  • (C) \( -1 \)
  • (D) \( 0 \)

Question 5:

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?
 

  • (A) \( 50 \, cm^3 \)
  • (B) \( 60 \, cm^3 \)
  • (C) \( 70 \, cm^3 \)
  • (D) \( 80 \, cm^3 \)

Question 6:

Find the area of a trapezoid with bases of 6 cm and 10 cm, and height of 4 cm.

  • (A) \( 24 \, cm^2 \)
  • (B) \( 28 \, cm^2 \)
  • (C) \( 32 \, cm^2 \)
  • (D) \( 36 \, cm^2 \)

Question 7:

A dataset contains the numbers 4, 6, 8, 10, and 12. What is the mean?

  • (A) 6
  • (B) 7
  • (C) 8
  • (D) 9

Question 8:

In a survey, 70% of respondents preferred product A over product B. If 140 people preferred product A, how many people were surveyed in total?

  • (A) 180
  • (B) 190
  • (C) 200
  • (D) 210

Question 9:

Simplify the expression \( 4(x - 3) + 5 \).


Question 10:

If \( x \) is inversely proportional to \( y \) and \( x = 8 \) when \( y = 2 \), what is \( x \) when \( y = 4 \)?


Question 11:

Solve for \( x \) if \( 3x + 2 = 14 \).


Question 12:

A right triangle has legs of length 9 cm and 12 cm. What is the length of the hypotenuse?


Question 13:

If a car travels 300 miles in 5 hours, what is the average speed in miles per hour?


Question 14:

If \( \frac{7}{4} x = 8 \), what is \( x \)?


Question 15:

What is the least common multiple (LCM) of 12 and 15?


Question 16:

Solve for \( x \): \[ x^2 - 6x + 9 = 0 \]


Question 17:

If \[ g(x) = 2x^2 - 5x + 3, find g(2). \]


Question 18:

What is the area of a circle with a diameter of 10 cm?

(Use \( \pi \approx 3.14 )


Question 19:

Find the surface area of a cube with side length 4 cm.


Question 20:

A dataset contains the numbers 12, 15, 18, 20, and 25. What is the range?


Question 21:

A company's sales increased from $1,500,000 to $2,000,000 in one year. What was the percentage increase?


Question 22:

Simplify the expression: \( (3x - 2)(2x + 5) \)


Question 23:

Solve for \( z \) if \( 4z - 7 = 3z + 5 \).


Question 24:

What is the value of \( x \) in the equation \( 2(x + 3) = 5x - 4 \)?


Question 25:

If the probability of an event occurring is 0.25, what is the probability that the event does not occur?


Question 26:

Find the median of the dataset: 8, 12, 15, 22, 26, 29.


Question 27:

What is the standard deviation of the dataset: 3, 7, 7, 8, 10, 15?

GRE Questions

  • 1.
    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.


      • 2.
        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?

        • 3.
          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

          • 4.
            The following appeared as a letter to the editor from the owner of a skate shop in Central Plaza.
            "Two years ago the city council voted to prohibit skateboarding in Central Plaza. They claimed that skateboard users were responsible for litter and vandalism that were keeping other visitors from coming to the plaza. In the past two years, however, there has been only a small increase in the number of visitors to Central Plaza, and litter and vandalism are still problematic. Skateboarding is permitted in Monroe Park, however, and there is no problem with litter or vandalism there. In order to restore Central Plaza to its former glory, then, we recommend that the city lift its prohibition on skateboarding in the plaza."

              • What is the current level of litter and vandalism in Central Plaza?
              • How much foot traffic has increased in Monroe Park compared to Central Plaza?
              • Has the local economy in the plaza improved since the ban on skateboarding?
              • How successful has the Monroe Park skateboarding program been in other cities?

            • 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.
                  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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