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.
    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.
      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

      • 3.
        Jean Valjean, the protagonist in Victor Hugo’s novel Les Misérables, spends the bulk of his lengthy _______ plotting a very clever set of revenge schemes, which he executes upon his escape.

          • ruination
          • peregrination
          • immolation
          • rumination

        • 4.
          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.


            • 5.
              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?

              • 6.
                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

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