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GRE Quantitative Reasoning 2024 past questions and answers

This 2024 GRE Quantitative Reasoning set has 28 practice questions. Try these 5 free sample questions, tap a question to reveal the answer and explanation. Then practise the whole 2024 set with instant marking.

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Sample GRE Quantitative Reasoning 2024 questions

1. For any real number n, compare Quantity A: (n + 2)^2 - n^2 and Quantity B: 4n + 5.
  1. Quantity A is greater
  2. Quantity B is greater
  3. The two quantities are equal
  4. The relationship cannot be determined from the information given

Answer: B. Quantity B is greater

Expanding Quantity A gives 4n + 4, which is always 1 less than Quantity B.

2. If x > 1, compare Quantity A: x and Quantity B: sqrt(x).
  1. Quantity A is greater
  2. Quantity B is greater
  3. The two quantities are equal
  4. The relationship cannot be determined from the information given

Answer: A. Quantity A is greater

For x > 1, x is greater than its positive square root.

3. For any real number x, compare Quantity A: (x - 3)^2 and Quantity B: 0.
  1. Quantity A is greater
  2. Quantity B is greater
  3. The two quantities are equal
  4. The relationship cannot be determined from the information given

Answer: D. The relationship cannot be determined from the information given

Quantity A equals 0 when x = 3 and is positive for other values of x.

4. If t is positive, compare Quantity A: sqrt(25t^2) and Quantity B: 5t.
  1. Quantity A is greater
  2. Quantity B is greater
  3. The two quantities are equal
  4. The relationship cannot be determined from the information given

Answer: C. The two quantities are equal

Because t is positive, sqrt(25t^2) = 5t.

5. If p and q are integers such that p + q = 10, compare Quantity A: p^2 + q^2 and Quantity B: 50.
  1. Quantity A is greater
  2. Quantity B is greater
  3. The two quantities are equal
  4. The relationship cannot be determined from the information given

Answer: D. The relationship cannot be determined from the information given

The sum of squares is 50 when p = q = 5 and is greater than 50 for other integer pairs with sum 10.

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