GRE 2024 Quantitative Reasoning Practice Test 3 Question Paper with Solutions PDF

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QHgemN, Oct 14, 2025

byShivam Yadav

GRE 2024 Quantitative Reasoning Practice Test 3 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 3 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 3 Question Paper with Solutions PDF

Question 1:

If \( \frac{2}{3}x - 5 = \frac{1}{3}x + 7 \), what is the value of \( x \)?

  • (A) 12
  • (B) 24
  • (C) 36
  • (D) 42

Question 2:

The average (arithmetic mean) of five numbers is 14. If four of the numbers are 10, 12, 18, and 20, what is the fifth number?
Options

  • (A) 8
  • (B) 10
  • (C) 12
  • (D) 14

Question 3:

If a car travels at an average speed of 55 miles per hour for the first 2 hours and 65 miles per hour for the next 3 hours, what is the total distance traveled?
Options

  • (A) 250 miles
  • (B) 275 miles
  • (C) 300 miles
  • (D) 305 miles

Question 4:

Simplify the expression \( \frac{5x}{2x} + \frac{3}{2x} \).
Options

  • (A) \( \frac{8x}{2x} \)
  • (B) \( \frac{13}{2x} \)
  • (C) \( \frac{15x}{2x} \)
  • (D) \( \frac{13x}{2x} \)

Question 5:

Solve for \( y \): \( 4y - 3(2y + 1) = 5 \).
Options

  • (A) \( y = 4 \)
  • (B) \( y = -4 \)
  • (C) \( y = 2 \)
  • (D) \( y = -2 \)

Question 6:

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

  • (A) 4
  • (B) 5
  • (C) 6
  • (D) 7

Question 7:

Expand the expression \( (2x - 3)(x + 4) \).
Options

  • (A) \( 2x^2 + 8x - 3 \)
  • (B) \( 2x^2 + 5x - 12 \)
  • (C) \( 2x^2 - 5x - 12 \)
  • (D) \( 2x^2 + 12x - 3 \)

Question 8:

If \( x^2 - 5x + 6 = 0 \), what are the possible values of \( x \)?
Options

  • (A) \( x = 1 \) or \( x = 6 \)
  • (B) \( x = 2 \) or \( x = 3 \)
  • (C) \( x = -2 \) or \( x = -3 \)
  • (D) \( x = -1 \) or \( x = 6 \)

Question 9:

What is the area of a trapezoid with bases of lengths 6 cm and 10 cm, and a height of 5 cm?
Options

  • (A) 30 cm\(^2\)
  • (B) 35 cm\(^2\)
  • (C) 40 cm\(^2\)
  • (D) 50 cm\(^2\)

Question 10:

What is the volume of a cone with a radius of 3 cm and a height of 4 cm? (Use \( \pi \approx 3.14 \))
Options

  • (A) 28.26 cm\(^3\)
  • (B) 37.68 cm\(^3\)
  • (C) 40.20 cm\(^3\)
  • (D) 45.12 cm\(^3\)

Question 11:

Find the length of the diagonal of a rectangle with length 8 cm and width 6 cm.
Options

  • (A) 8 cm
  • (B) 9 cm
  • (C) 10 cm
  • (D) 12 cm

Question 12:

What is the surface area of a sphere with a radius of 5 cm? (Use \( \pi \approx 3.14 \))
Options

  • (A) 125 cm\(^2\)
  • (B) 200 cm\(^2\)
  • (C) 314 cm\(^2\)
  • (D) 350 cm\(^2\)

Question 13:

A dataset contains the numbers 5, 7, 9, 11, 13, and 15. What is the standard deviation?
Options

  • (A) 2.58
  • (B) 3.74
  • (C) 4.20
  • (D) 5.00

Question 14:

A survey of 300 people found that 180 like coffee, 120 like tea, and 90 like both. How many people like only coffee?
Options

  • (A) 60
  • (B) 90
  • (C) 120
  • (D) 210

Question 15:

A pie chart shows the distribution of expenses for a household: 25% for housing, 15% for food, 20% for transportation, and the rest for other expenses. What percentage is spent on other expenses?
Options

  • (A) 35%
  • (B) 40%
  • (C) 45%
  • (D) 50%

Question 16:

A company's revenue increased from
(200{,}000 in 2019 to
)250{,}000 in 2020. What is the percentage increase?
Options

  • (A) 20%
  • (B) 22.5%
  • (C) 25%
  • (D) 30%

Question 17:

Simplify the expression: \( \frac{3x - 4}{x} + \frac{2x + 5}{x} \).
Options

  • (A) \( \frac{5x + 1}{x} \)
  • (B) \( 5 + \frac{1}{x} \)
  • (C) \( \frac{5}{x} + 1 \)
  • (D) \( \frac{1}{x} - 5 \)

Question 18:

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

  • (A) 1.5
  • (B) 2
  • (C) 2.5
  • (D) 4

Question 19:

If \( 4x + 7 = 3x + 12 \), what is the value of \( x \)?
Options

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

Question 20:

A right triangle has one leg of 8 cm and a hypotenuse of 17 cm. What is the length of the other leg?
Options

  • (A) 12 cm
  • (B) 13 cm
  • (C) 15 cm
  • (D) 16 cm

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