GRE 2024 Quantitative Reasoning Practice Test 7 Question Paper with Solutions PDF

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QHgemN, Oct 14, 2025

byShivam Yadav

GRE 2024 Quantitative Reasoning Practice Test 7 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 7 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test 7 Question Paper with Solutions PDF

Question 1:

If \( x \) is a positive integer and \( 3x - 7 < 2x + 5 \), what is the greatest possible value of \( x \)?

  • (A) 6
  • (B) 8
  • (C) 10
  • (D) 12
  • (E) 14

Question 2:

A bakery makes 120 cookies, which are divided equally among 4 boxes. Each box is sold for 15. What is the price per cookie?

  • (A)0.25
  • (B)0.50
  • (C)1.00
  • (D)1.25
  • (E)1.50

Question 3:

A number is decreased by 40% and the result is 72. What was the original number?

  • (A) 100
  • (B) 120
  • (C) 150
  • (D) 160
  • (E) 180

Question 4:

If the average (arithmetic mean) of five consecutive integers is 25, what is the largest of these integers?

  • (A) 25
  • (B) 26
  • (C) 27
  • (D) 28
  • (E) 29

Question 5:

A certain job pays 24 per hour for the first 40 hours worked in a week and 1.5 times that rate for any additional hours. If an employee earns
1,260 in one week, how many total hours did they work?

  • (A) 45
  • (B) 47
  • (C) 48
  • (D) 50
  • (E) 52

Question 6:

Solve for \( x \): \[ \frac{2}{x} + \frac{3}{x} = \frac{10}{15} \]

  • (A) 3
  • (B) 6
  • (C) 9
  • (D) 12
  • (E) 15

Question 7:

If \( x^2 - 9 = 16 \), what are the values of \( x \)?

  • (A) \( \pm 5 \)
  • (B) \( \pm 7 \)
  • (C) \( \pm 6 \)
  • (D) \( \pm 4 \)
  • (E) \( \pm 3 \)

Question 8:

Solve for \( y \) in terms of \( x \) if \( 4x - 5y = 20 \).

  • (A) \( y = \frac{4x - 20}{5} \)
  • (B) \( y = \frac{20 - 4x}{5} \)
  • (C) \( y = \frac{5x - 20}{4} \)
  • (D) \( y = \frac{20 + 4x}{5} \)
  • (E) \( y = \frac{20 + 5x}{4} \)

Question 9:

If \( x + 1 = 3(x - 2) \), what is the value of \( x \)?

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4
  • (E) 5

Question 10:

For what value of \( k \) will the system of equations \( 2x + 3y = 12 \) and \( 4x + ky = 24 \) have no solution?

  • (A) 3
  • (B) 6
  • (C) 9
  • (D) 12
  • (E) 15

Question 11:

A rectangle has a width of 6 units and a perimeter of 32 units. What is the length of the rectangle?

  • (A) 8
  • (B) 10
  • (C) 12
  • (D) 14
  • (E) 16

Question 12:

In a circle with a radius of 10, what is the area of a sector with a central angle of 72 degrees?

  • (A) \( 20\pi \)
  • (B) \( 25\pi \)
  • (C) \( 50\pi \)
  • (D) \( 100\pi \)
  • (E) \( 200\pi \)

Question 13:

A right triangle has legs of lengths 8 and 15. What is the length of the hypotenuse?

  • (A) 16
  • (B) 17
  • (C) 18
  • (D) 19
  • (E) 20

Question 14:

What is the volume of a cube with a surface area of 54 square units?

  • (A) 18
  • (B) 27
  • (C) 36
  • (D) 45
  • (E) 64

Question 15:

In a parallelogram, if one angle measures 70 degrees, what is the measure of an adjacent angle?

  • (A) 70
  • (B) 90
  • (C) 100
  • (D) 110
  • (E) 120

Question 16:

The weights of 5 dogs are 10, 12, 15, 15, and 20 pounds. What is the median weight?

  • (A) 12
  • (B) 13
  • (C) 15
  • (D) 16
  • (E) 17

Question 17:

If 60% of a class of 50 students passed a test, how many students did not pass?

  • (A) 10
  • (B) 15
  • (C) 20
  • (D) 25
  • (E) 30

Question 18:

A survey showed that 40% of respondents prefer coffee, 35% prefer tea, and the rest prefer neither. If 200 people responded, how many prefer neither?

  • (A) 50
  • (B) 60
  • (C) 70
  • (D) 80
  • (E) 90

Question 19:

A store sells apples in bags of 6. If a customer buys 4 bags, what is the standard deviation of the number of apples bought?

  • (A) 0
  • (B) 2
  • (C) 3
  • (D) 4
  • (E) 5

Question 20:

If the probability of rain on any given day is 0.3, what is the probability that it will rain exactly 2 out of the next 3 days?

  • (A) 0.189
  • (B) 0.216
  • (C) 0.243
  • (D) 0.267
  • (E) 0.300

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