GRE 2024 Quantitative Reasoning Practice Test 4 Question Paper with Solutions PDF

If \( \frac{3}{5}x - 2 = 1 \), what is \( x \)?

• (A) 3
• (B) 4
• (C) 5
• (D) 6

What is the sum of the first 20 positive integers?

• (A) 190
• (B) 200
• (C) 210
• (D) 220

Solve for \( y \): \( y^2 - 9 = 0 \).

• (A) \( y = 3 \)
• (B) \( y = -3 \)
• (C) \( y = 0 \)
• (D) No solution

If \( f(x) = x^3 - 4x + 1 \), find \( f(-2) \).

• (A) \( 3 \)
• (B) \( 1 \)
• (C) \( -1 \)
• (D) \( 0 \)

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?
 

• (A) \( 50 \, cm^3 \)
• (B) \( 60 \, cm^3 \)
• (C) \( 70 \, cm^3 \)
• (D) \( 80 \, cm^3 \)

Find the area of a trapezoid with bases of 6 cm and 10 cm, and height of 4 cm.

• (A) \( 24 \, cm^2 \)
• (B) \( 28 \, cm^2 \)
• (C) \( 32 \, cm^2 \)
• (D) \( 36 \, cm^2 \)

A dataset contains the numbers 4, 6, 8, 10, and 12. What is the mean?

• (A) 6
• (B) 7
• (C) 8
• (D) 9

In a survey, 70% of respondents preferred product A over product B. If 140 people preferred product A, how many people were surveyed in total?

• (A) 180
• (B) 190
• (C) 200
• (D) 210

Simplify the expression \( 4(x - 3) + 5 \).

If \( x \) is inversely proportional to \( y \) and \( x = 8 \) when \( y = 2 \), what is \( x \) when \( y = 4 \)?

Solve for \( x \) if \( 3x + 2 = 14 \).

A right triangle has legs of length 9 cm and 12 cm. What is the length of the hypotenuse?

If a car travels 300 miles in 5 hours, what is the average speed in miles per hour?

If \( \frac{7}{4} x = 8 \), what is \( x \)?

What is the least common multiple (LCM) of 12 and 15?

Solve for \( x \): \[ x^2 - 6x + 9 = 0 \]

If \[ g(x) = 2x^2 - 5x + 3, find g(2). \]

What is the area of a circle with a diameter of 10 cm?

(Use \( \pi \approx 3.14 )

Find the surface area of a cube with side length 4 cm.

A dataset contains the numbers 12, 15, 18, 20, and 25. What is the range?

A company's sales increased from $1,500,000 to $2,000,000 in one year. What was the percentage increase?

Simplify the expression: \( (3x - 2)(2x + 5) \)

Solve for \( z \) if \( 4z - 7 = 3z + 5 \).

What is the value of \( x \) in the equation \( 2(x + 3) = 5x - 4 \)?

If the probability of an event occurring is 0.25, what is the probability that the event does not occur?

Find the median of the dataset: 8, 12, 15, 22, 26, 29.

What is the standard deviation of the dataset: 3, 7, 7, 8, 10, 15?