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

If \( w = 18 \), then which of the following is equal to \( w \times 3 \)?

• (A) 116
• (B) 132
• (C) 12
• (D) 164
• (E) 14

It takes no more than 40 minutes to run a race, but at least 30 minutes. What equation will model this in \( m \) minutes?

• (A) \( |m - 35| < 5 \)
• (B) \( |m - 35| > 5 \)
• (C) \( |m + 35| < 5 \)
• (D) \( |m + 35| > 5 \)
• (E) \( |m - 35| = 5 \)

Solve the inequality \( 6(x - 1) < 7(3 - x) \).

• (A) \( x < 127 \)
• (B) \( x > 1327 \)
• (C) \( x > -1117 \)
• (D) \( x < 2713 \)
• (E) \( x > -1327 \)

Simplify: \[ \frac{x^3 \times 2x^4 \times 5y + 4y^2 + 3y^2}{y} \]

• (A) \( 10x^7 + 7y \)
• (B) \( 15x^6 + 3y^2 \)
• (C) \( 5x^7 + 7y \)
• (D) \( 3x^7 + y \)
• (E) \( 15x^6 + y^2 \)

The arithmetic mean of \( a, b, c, \) and \( d \) is 14. \[ Quantity A: 32, \quad Quantity B: 39. \]

• (A) The two quantities are equal
• (B) Quantity B is greater
• (C) Quantity A is greater
• (D) The relationship between Quantity A and Quantity B cannot be determined.

If one mile is equal to 5,280 feet, how many feet are 100 miles equal to in scientific notation?

• (A) \( 528 \times 10^3 \)
• (B) \( 5280 \times 10^2 \)
• (C) 528,000
• (D) \( 528 \times 10^6 \)
• (E) \( 5.28 \times 10^5 \)

If a cash deposit account is opened with 7500 for a three-year period at 3.5% interest compounded once annually, which of the following is closest to the positive difference between the interest accrued in the third year and the interest accrued in the second year?

• (A) $11.41
• (B) $0
• (C) $281.2
• (D) $81.41
• (E) $9.51

Let \( x \) and \( y \) be integers such that \( 0 \leq x \leq 5 \) and \( -4 \leq y \leq -1 \). \[ Quantity A: x - |y| \quad Quantity B: 0. \]

• (A) Quantity A is greater
• (B) The relationship cannot be determined from the information given
• (C) Quantity B is greater
• (D) Quantity A and Quantity B are equal

Choose the answer which best simplifies the following expression: \[ 2p^2 + 3p^2a - 5p^3 \]

• (A) \( 15p - 10pa6a \)
• (B) \( 6p^2 + 9p + 10pa6a \)
• (C) \( 6p + 9p - 10pa6a \)
• (D) \( 6p^2 + 9p - 10p6 \)
• (E) \( 6p^2 + 9p - 10pa6a \)

Simplify the following: \[ 40 - \sqrt{20} - \sqrt{160} \]

• (A) \( 0 \)
• (B) \( 5 \)
• (C) \( 10 \)
• (D) \( 4 \)

Simplify: \[ 343x5 - \sqrt{49x3} \]

• (A) \( 7x \)
• (B) \( x7 - \sqrt{7} \)
• (C) \( 7x - \sqrt{7} \)
• (D) \( 7x \)
• (E) \( x7 \)

Which is greater, when \( -1 < x < 0 \)? \[ Quantity A: |x| \quad Quantity B: x^2 \]

• (A) Quantity B is greater
• (B) The two quantities are equal
• (C) Quantity A is greater
• (D) The relationship cannot be determined from the information given

Solve: \[ 2315 + 932 = ? \]

• (A) 282
• (B) 14
• (C) 263
• (D) 283

Which of the following is true?
Quantity A: 49012
Quantity B: 4056

• (A) Quantity B is larger.
• (B) The relationship of the two quantities cannot be determined based on the information provided.
• (C) The two quantities are equal.
• (D) Quantity A is larger.

Flour, eggs, sugar, and chocolate chips are mixed by weight in the ratio of 12:5:3:5, respectively. How many pounds of chocolate chips are there in 75 pounds of the mixture?

• (A) 18
• (B) 5
• (C) 25
• (D) 15