GRE Practice Questions with Answers Practice Questions with Answers

Nearly 350,000 students worldwide take the Graduate Record Examination each year to qualify for advanced degree programs. Preparing for this assessment requires a rigorous approach to both quantitative and verbal reasoning, making GRE Practice Questions with Answers an essential component of any successful study plan. By engaging with realistic problems, test-takers can identify knowledge gaps and refine their time-management strategies. This guide provides a comprehensive overview of the question formats you will encounter on the exam, along with detailed solutions to help you understand the underlying logic of each problem.

Concept Explanation

GRE practice questions with answers serve as a diagnostic and instructional tool designed to simulate the difficulty and structure of the actual GRE General Test. The exam is divided into three primary sections: Analytical Writing, Verbal Reasoning, and Quantitative Reasoning. Verbal sections focus on analyzing written material, identifying relationships between words, and interpreting complex sentences. Quantitative sections assess basic mathematical skills and the ability to reason quantitatively using arithmetic, algebra, geometry, and data analysis. To excel, students should utilize a GRE Prep hub to organize their study by topic. Effective practice involves more than just finding the correct answer; it requires understanding the distractor options and the specific mathematical or linguistic rules being tested. For instance, many questions test your ability to handle GRE Algebra Practice Questions or interpret subtle shifts in tone. Consistent review of these concepts helps build the mental stamina required for the nearly four-hour testing session.

Solved Examples

Below are several worked examples that demonstrate the logic required to solve typical GRE problems.

1. Quantitative Comparison: Compare the following two quantities:
   Quantity A: $\frac{2}{3} \times \frac{3}{4} \times \frac{4}{5}$
   Quantity B: $0.4$
   Solution:
   1. Simplify Quantity A by canceling common terms in the numerator and denominator: $\frac{2 \times 3 \times 4}{3 \times 4 \times 5} = \frac{2}{5}$.
   2. Convert the fraction to a decimal: $\frac{2}{5} = 0.4$.
   3. Compare the results: Both quantities are equal.
   4. The answer is: The two quantities are equal.
2. Sentence Equivalence: Select the two words that, when used to complete the sentence, fit the meaning of the sentence as a whole and produce completed sentences that are alike in meaning.
   The researcher's findings were so ______ that even her most vocal critics had to admit the validity of her conclusions.
   Options: (A) tenuous, (B) irrefutable, (C) controversial, (D) undeniable, (E) dubious, (F) preliminary.
   Solution:
   1. Identify the context: Critics admitted the conclusions were valid, meaning the findings must be very strong or certain.
   2. Look for synonyms among the options that mean "certain" or "impossible to disprove."
   3. (B) irrefutable and (D) undeniable are synonyms that fit this context perfectly.
   4. The answer is: (B) and (D).
3. Algebraic Word Problem: If $x + y = 10$ and $x - y = 4$, what is the value of $xy$?
   Solution:
   1. Use the elimination method. Add the two equations: $(x + y) + (x - y) = 10 + 4$, which simplifies to $2x = 14$.
   2. Solve for $x$: $x = 7$.
   3. Substitute $x$ back into the first equation: $7 + y = 10$, so $y = 3$.
   4. Calculate the product $xy$: $7 \times 3 = 21$.
   5. The answer is: 21.

Practice Questions

Test your knowledge with these GRE practice questions with answers spanning various difficulty levels.

1. A car travels at a constant speed of 60 miles per hour. How many minutes does it take the car to travel 15 miles?
2. If $3^{x+1} = 81$, what is the value of $x$?
3. Choose the best word to fill the blank: Despite the professor's ______ reputation, he was surprisingly approachable and kind to his students. (A) formidable, (B) gregarious, (C) benevolent, (D) jovial.

4. A box contains 4 red marbles, 6 blue marbles, and 10 yellow marbles. If one marble is picked at random, what is the probability that it is NOT blue?
5. In a group of 50 people, 28 speak English, 20 speak Spanish, and 12 speak both. How many people speak neither language?
6. Which of the following is equivalent to $(2x - 3)(x + 4)$?
   (A) $2x^2 - 12$
   (B) $2x^2 + 5x - 12$
   (C) $2x^2 - 5x - 12$
   (D) $2x^2 + 11x - 12$
7. Identify the synonym pair for this Sentence Equivalence task: The mountain path was so ______ that even experienced hikers found it difficult to maintain their balance.
   (A) precarious, (B) stable, (C) treacherous, (D) scenic, (E) flat, (F) winding.
8. If the area of a circle is $16\pi$, what is the circumference of the circle?
9. A set of numbers consists of {10, 12, 15, 15, 18, 20}. What is the median of this set?
10. Solve for $z$: $\frac{z}{4} + 3 = \frac{z}{2} - 1$.

Answers & Explanations

Review the detailed explanations below to master the concepts tested in the practice set.

1. Answer: 15 minutes. Speed is distance divided by time. At 60 mph, the car travels 1 mile per minute. Therefore, to travel 15 miles, it takes 15 minutes.
2. Answer: 3. Since $81 = 3^4$, we can set the exponents equal: $x + 1 = 4$. Subtracting 1 from both sides gives $x = 3$.
3. Answer: (A) formidable. The word "Despite" indicates a contrast. If he is surprisingly approachable, his reputation must have been the opposite—intimidating or scary. "Formidable" fits this context.
4. Answer: 7/10 (or 0.7). Total marbles = $4 + 6 + 10 = 20$. Blue marbles = 6. Marbles that are NOT blue = $20 - 6 = 14$. Probability = $\frac{14}{20} = \frac{7}{10}$.
5. Answer: 14. Use the formula for the union of two sets: $n(A \cup B) = n(A) + n(B) - n(A \cap B)$. So, $28 + 20 - 12 = 36$ people speak at least one language. People speaking neither = $50 - 36 = 14$.
6. Answer: (B) $2x^2 + 5x - 12$. Use the FOIL method: $(2x \times x) + (2x \times 4) + (-3 \times x) + (-3 \times 4) = 2x^2 + 8x - 3x - 12 = 2x^2 + 5x - 12$.
7. Answer: (A) precarious and (C) treacherous. Both words describe a path that is dangerously unstable or likely to cause a fall, which explains why hikers lost their balance.
8. Answer: $8\pi$. Area $A = \pi r^2 = 16\pi$, so $r^2 = 16$ and $r = 4$. Circumference $C = 2\pi r = 2\pi(4) = 8\pi$.
9. Answer: 15. The set is already ordered: {10, 12, 15, 15, 18, 20}. With 6 terms, the median is the average of the 3rd and 4th terms: $\frac{15 + 15}{2} = 15$.
10. Answer: 16. Multiply the entire equation by 4 to clear denominators: $z + 12 = 2z - 4$. Subtract $z$ from both sides: $12 = z - 4$. Add 4 to both sides: $z = 16$.

1. In a Text Completion question, if a sentence uses the word "although," what does this usually signify?

• AA continuation of the same idea
• BA contrast or shift in direction
• CA list of supporting examples
• DA definition of a technical term

Frequently Asked Questions

How many questions are on the GRE?

The current shorter version of the GRE General Test consists of 54 questions total across the Verbal and Quantitative sections, plus one Analytical Writing essay. This format was updated by ETS in late 2023 to reduce testing time.

Are calculators allowed on the GRE Quantitative section?

Yes, an on-screen calculator is provided for the Quantitative Reasoning section, but you cannot bring your own handheld device. It includes basic functions like addition, subtraction, multiplication, division, and square roots.

What is a good score on the GRE?

A "good" score is relative to the specific graduate program you are applying to, but the average score for each section is typically around 150-151. Highly competitive programs often look for scores in the 160s for the relevant section.

Can I skip questions and return to them later?

The GRE allows you to move forward and backward within a single section, mark questions you want to revisit, and change your answers. However, you cannot go back to a section once the time for that specific section has expired.

How often can I take the GRE?

You can take the GRE General Test once every 21 days, up to five times within any continuous rolling 12-month period. This allows students to use AI Exam Simulator tools to improve their performance between attempts.