GRE 2024 Quantitative Reasoning Practice Test 6 Question Paper with Solutions PDF

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Updated on, Oct 14, 2025

byShivam Yadav

GRE 2024 Quantitative Reasoning Practice Test 6 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 6 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 6 Question Paper with Solutions PDF

Question 1:

A number \( n \) is 20% less than another number \( m \). If \( m = 50 \), what is \( n \)?
 

  • (A) \( 35 \)
  • (B) \( 40 \)
  • (C) \( 42 \)
  • (D) \( 45 \)
  • (E) \( 48 \)

Question 2:

If \( a \) and \( b \) are positive integers such that \( a \times b = 36 \), and \( a \) is 3 less than twice \( b \), what is the value of \( a + b \)?
 

  • (A) \( 11 \)
  • (B) \( 13 \)
  • (C) \( 15 \)
  • (D) \( 17 \)
  • (E) \( 19 \)

Question 3:

A bakery sells cupcakes in packs of 6 and packs of 9. If \( p \) packs of 6 and \( q \) packs of 9 are bought, and the total number of cupcakes is 90, what is the smallest possible value of \( p + q \)?
 

  • (A) \( 7 \)
  • (B) \( 8 \)
  • (C) \( 9 \)
  • (D) \( 10 \)
  • (E) \( 11 \)

Question 4:

If \( x \) is an even integer and \( y = 3x + 5 \), which of the following must be odd?
 

  • (A) \( x \)
  • (B) \( y \)
  • (C) \( 2x + y \)
  • (D) \( x + y \)
  • (E) \( 2y \)

Question 5:

If a number \( n \) leaves a remainder of 3 when divided by 5, what is the remainder when \( 2n \) is divided by 5?
 

  • (A) \( 1 \)
  • (B) \( 2 \)
  • (C) \( 3 \)
  • (D) \( 4 \)
  • (E) \( 0 \)

Question 6:

If \( x^2 - 6x + 9 = y \), what is the value of \( y \) when \( x = 4 \)?
 

  • (A) \( 4 \)
  • (B) \( 5 \)
  • (C) \( 6 \)
  • (D) \( 7 \)
  • (E) \( 8 \)

Question 7:

Solve for \( x \) if \( \frac{x + 2}{x - 3} = 2 \).
 

  • (A) \( 4 \)
  • (B) \( 5 \)
  • (C) \( 6 \)
  • (D) \( 7 \)
  • (E) \( 8 \)

Question 8:

If \( f(x) = 2x^2 - 3x + 4 \), what is \( f(2) - f(-2) \)?
 

  • (A) \( 20 \)
  • (B) \( 22 \)
  • (C) \( 24 \)
  • (D) \( 26 \)
  • (E) \( 28 \)

Question 9:

If \( 3x + 2y = 6 \) and \( 2x - y = 4 \), what is \( x + y \)?
 

  • (A) \( 0 \)
  • (B) \( 1 \)
  • (C) \( 2 \)
  • (D) \( 3 \)
  • (E) \( 4 \)

Question 10:

If \( x^2 - 4x + 4 = 0 \), what is the sum of the roots?
 

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

Question 11:

In triangle \( ABC \), if \( AB = 6 \), \( BC = 8 \), and \( AC = 10 \), what is the area of the triangle?
 

  • (A) \( 24 \)
  • (B) \( 25 \)
  • (C) \( 26 \)
  • (D) \( 27 \)
  • (E) \( 28 \)

Question 12:

A rectangle has a length that is twice its width. If the perimeter is 48 units, what is the area of the rectangle?
 

  • (A) \( 96 \)
  • (B) \( 108 \)
  • (C) \( 120 \)
  • (D) \( 132 \)
  • (E) \( 144 \)

Question 13:

In a circle with a radius of 5, what is the length of an arc that subtends a central angle of 120 degrees?
 

  • (A) \( \frac{5\pi}{3} \)
  • (B) \( \frac{10\pi}{3} \)
  • (C) \( 5\pi \)
  • (D) \( 10\pi \)

Question 14:

A cube has a surface area of 54 square units. What is the volume of the cube?
 

  • (A) \( 27 \)
  • (B) \( 36 \)
  • (C) \( 45 \)
  • (D) \( 54 \)
  • (E) \( 64 \)

Question 15:

A cube has a surface area of 54 square units. What is the volume of the cube?
 

  • (A) \( 27 \)
  • (B) \( 36 \)
  • (C) \( 45 \)
  • (D) \( 54 \)
  • (E) \( 64 \)

Question 16:

A dataset has the following values: 10, 12, 15, 15, 20, 22. What is the range and the median of the dataset?
 

  • (A) Range: 10, Median: 15
  • (B) Range: 12, Median: 15
  • (C) Range: 12, Median: 16
  • (D) Range: 10, Median: 16
  • (E) Range: 10, Median: 15.5

Question 17:

In a survey, 60% of respondents prefer coffee, 30% prefer tea, and the remaining prefer neither. If 100 people responded, how many prefer neither?
 

  • (A) 5
  • (B) 10
  • (C) 15
  • (D) 20
  • (E) 25

Question 18:

A dataset has the following values: 10, 12, 15, 15, 20, 22. What is the range and the median of the dataset?
 

  • (A) Range: 10, Median: 15
  • (B) Range: 12, Median: 15
  • (C) Range: 12, Median: 16
  • (D) Range: 10, Median: 16
  • (E) Range: 10, Median: 15.5

Question 19:

In a survey, 60% of respondents prefer coffee, 30% prefer tea, and the remaining prefer neither. If 100 people responded, how many prefer neither?
 

  • (A) 5
  • (B) 10
  • (C) 15
  • (D) 20
  • (E) 25

Question 20:

A bag contains 3 red, 5 blue, and 7 green balls. If a ball is drawn at random, what is the probability it is either red or blue?
 

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

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