GRE 2024 Quantitative Reasoning Practice Test Set 17 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Practice Test Set 17 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 17 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Set 17 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test Set 17 Question Paper with Solutions PDF

Question 1:

Given the functions f(x) = 2x + 4 and g(x) = 3x - 6, what is f(g(x)) when x = 6?

  • (A) 144
  • (B) 12
  • (C) 28
  • (D) 192
  • (E) 16

Question 2:

A jet goes from City 1 to City 2 at an average speed of 600 miles per hour, and returns along the same path at an average speed of 300 miles per hour. What is the average speed, in miles per hour, for the trip?

  • (A) 300 miles/hour
  • (B) 400 miles/hour
  • (C) 350 miles/hour
  • (D) 450 miles/hour
  • (E) 500 miles/hour

Question 3:

If f(x)=3x+7 and g(x)=x²-12, what is f(g(x))?

  • (A) 3x³-29
  • (B) 9x²-29
  • (C) 3x²+29
  • (D) 3x²-29
  • (E) 9x³+29

Question 4:

What is f(-3) if f(x) = x² + 5?

  • (A) -14
  • (B) 4
  • (C) 15
  • (D) 14
  • (E) -4

Question 5:

An outpost has the supplies to last 2 people for 14 days. How many days will the supplies last for 7 people?

  • (A) 4
  • (B) 9
  • (C) 5
  • (D) 10
  • (E) 7

Question 6:

Given f(x)=3x²-5 and g(x)=9-2x, find f(g(5)).

  • (A) -1
  • (B) 4
  • (C) 131
  • (D) -2
  • (E) 70

Question 7:

Find f(6) if f(x)=|x²+4x-127|

  • (A) -136
  • (B) -36
  • (C) -67
  • (D) 67
  • (E) 36

Question 8:

A function f(x) = -1 for all values of x. Another function g(x) = 3x for all values of x. What is g(f(x)) when x = 4?

  • (A) -12
  • (B) -3
  • (C) 3
  • (D) -1
  • (E) 12

Question 9:

Worker A can make a trinket in 4 hours, Worker B can make a trinket in 2 hours. When they work together, how long will it take them to make a trinket?

  • (A) 6 hours
  • (B) \(\frac{1}{2}\) hour
  • (C) \(1\frac{1}{3}\) hours
  • (D) 3 hours
  • (E) \(1\frac{1}{2}\) hours

Question 10:

For all values of x, f(x) = 7x² - 3, and for all values of y, g(y) = 2y + 9. What is g(f(x))?

  • (A) 7y² - 3
  • (B) 14x² + 3
  • (C) 14y² + 3
  • (D) 14x² - 3
  • (E) 2x + 9

Question 11:

The operation □ is defined as a □ b = a(b+1) - 3.

Compare Quantity A and Quantity B.

Quantity A: 1 □ 1

Quantity B: 2 □ 0

  • (A) The relationship cannot be determined from the information given.
  • (B) Quantity A is greater.
  • (C) Quantity A and Quantity B are equal.
  • (D) Quantity B is greater.

Question 12:

Alice is twice as old as Tom, but four years ago, she was three years older than Tom is now. How old is Tom now?

  • (A) 7
  • (B) 13
  • (C) 21
  • (D) 3
  • (E) 9

Question 13:

If the average of two numbers is 3y and one of the numbers is y + z, what is the other number, in terms of y and z?

  • (A) 5y + z
  • (B) 4y - z
  • (C) 3y + z
  • (D) 5y - z
  • (E) y + z

Question 14:

What is the value of the function f(x) = 6x² + 16x - 6 when x = -3?

  • (A) -108
  • (B) -12
  • (C) 0
  • (D) 96

GRE Questions

  • 1.
    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

    • 2.
      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.


        • 3.
          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

          • 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.
              “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.
                  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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