GRE 2024 Quantitative Reasoning Practice Test Set 10 Question Paper with Solutions PDF

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Updated on, Oct 13, 2025

byShivam Yadav

GRE 2024 Quantitative Reasoning Practice Test Set 10 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 Set 10 Question Paper with Solutions PDF

GRE 2024 Quantitative Reasoning Set 10 Question Paper with Solutions PDF download iconDownload Check Solutions
GRE 2024 Qantitative Reasoning Practice Test Set 10 Question Paper with Solutions PDF

Question 1:

Choose the answer which best simplifies the expression below: \[ 2a14 - y - 38 + a \]

  • (A) \( 2a^2 + 16a + 3y - 42112 - 8y + 14a - ay \)
  • (B) \( 2a^2 + 16a + 3y + 42112 - 8y + 14a - ay \)
  • (C) \( 2a^2 + 16a + 3y - 42112 - 8y - 14a - ay \)
  • (D) \( 2a^2 + 16a + 3y - 42 - 112 - 8y + 14a - ay \)
  • (E) \( 2a^2 + 16a - 3y - 42112 - 8y + 14a - ay \)

Question 2:

\(x\) and \(y\) are non-zero integers. Compare the following: \[ Quantity A: (x - y)^2 \quad \quad Quantity B: (x + y)^2 \]

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

Question 3:

Simplify the following: \[ \sqrt{125} + \sqrt{245} - \sqrt{80} \]

  • (A) It cannot be simplified any further
  • (B) \(35 - \sqrt{212}\)
  • (C) \(\sqrt{905}\)
  • (D) \(\sqrt{165}\)
  • (E) \(\sqrt{450}\)

Question 4:

Simplify: \[ \sqrt{250} - \sqrt{10} \]

  • (A) \(10\sqrt{5}\)
  • (B) 25
  • (C) 5
  • (D) \(\sqrt{10}\)
  • (E) \(10\sqrt{2}\)

Question 5:

There are \(3,500\) people in group A and \(5,000\) people in group B. The percentage of people owning minivans is 22% in group A and 15% in group B.



The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?

  • (A) 15 more
  • (B) 50 fewer
  • (C) 20 fewer
  • (D) 30 fewer
  • (E) 30 more

Question 6:

Find the square root of the following decimal: \(0.004\).

  • (A) 0.002
  • (B) 0.016
  • (C) 0.0632
  • (D) 0.02

Question 7:

Let \(Z\) represent a sequence of numbers \((z_1, z_2, z_3, \dots)\) wherein each term is defined as seven less than three times the preceding term. If \(z_3 + z_5 = 142\), what is the first term in the sequence?

  • (A) 44
  • (B) 5
  • (C) 125
  • (D) 17
  • (E) 8

Question 8:

Evaluate: \(0.4835 \times 10^2\)

  • (A) 48.35
  • (B) 81
  • (C) 32
  • (D) 3.2
  • (E) 0.032

Question 9:

Mohammed is being treated to ice cream for his birthday, and he's allowed to build a three-scoop sundae from any of the 31 available flavors, with the only condition being that each of these flavors must be unique. He’s also allowed to pick 2 different toppings out of 10, but one topping (peanut butter cup pieces) is already fixed. Knowing these details, how many sundae combinations are available?

  • (A) 44950
  • (B) 2427300
  • (C) 40455
  • (D) 202275

Question 10:

Alice has a puppy and a kitten. The puppy weighs 4 pounds and grows at a rate of 1 pound per month. The kitten weighs 2 pounds and grows at a rate of 2 pounds per month. Compare after the given months:

Quantity A: Weight of the puppy after 8 months
Quantity B: Weight of the kitten after 7 months.

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

Question 11:

If \( m \) and \( n \) are both odd integers, which of the following is not necessarily odd?

  • (A) \( m + n^2 \)
  • (B) \( m - 2n \)
  • (C) \( mn \)
  • (D) \( m \cdot n \)
  • (E) \( 2m - n \)

Question 12:

Which of the following inequalities is represented by the number line shown below?


\[ -2 \leq x \leq 5 \]

  • (A) \( |4x - 6| \leq 14 \)
  • (B) \( |5x - 5| \geq 25 \)
  • (C) \( 5x \leq 25 \)
  • (D) \( 4x \geq -8 \)
  • (E) \( |3x - 12| \leq 6 \)

Question 13:

Product X costs $27 to manufacture at the rate of 50 per hour. Production can only be increased in groups of 10 units per hour. For each such increase, the production cost increases 30% of its previous amount. If the output is to be doubled, for how much must each unit be sold to make at least a 25% profit?

  • (A) $125.32
  • (B) $157.32
  • (C) $219.38
  • (D) $213.75
  • (E) $198.28

Question 14:

In a bowl containing 10 marbles, 5 are blue and 5 are pink. If 2 marbles are picked randomly, what is the probability that the 2 marbles will not both be pink?

  • (A) \( \tfrac{2}{9} \)
  • (B) \( \tfrac{5}{6} \)
  • (C) \( \tfrac{7}{9} \)
  • (D) \( \tfrac{7}{8} \)

Question 15:

The average of four numbers is 25. The average of three of these numbers is 20.

Quantity A: The value of the fourth number

Quantity B: 35

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

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