Unlimited GRE Practice Questions Practice Questions with Answers

Concept Explanation

Unlimited GRE practice questions represent a comprehensive set of study materials designed to simulate the Quantitative Reasoning, Verbal Reasoning, and Analytical Writing sections of the Graduate Record Examination.

Preparing for the GRE requires more than just memorizing formulas; it demands a deep understanding of how the Educational Testing Service (ETS) structures problems to test critical thinking. The exam is section-adaptive, meaning your performance on the first section of a subject determines the difficulty of the second. To succeed, students must engage with a high volume of varied material, ranging from GRE algebra practice questions to complex linguistic analysis. This high-repetition approach helps build the mental stamina required for the nearly four-hour testing experience. Effective practice involves identifying patterns in GRE text completion and mastering the logic behind GRE sentence equivalence. By utilizing a wide array of unlimited GRE practice questions, candidates can move beyond passive reading and into active retrieval, which is the gold standard for long-term retention. For those looking to organize their schedule, creating a structured GRE Prep plan is the first step toward a competitive score.

Solved Examples

1. Quantitative Reasoning (Geometry): A circle is inscribed in a square with a side length of $10$. What is the area of the region inside the square but outside the circle?
   1. Identify the side of the square: $s = 10$. The area of the square is $s^2 = 100$.
   2. Determine the radius of the circle: Since the circle is inscribed, its diameter equals the side of the square. Therefore, $d = 10$ and $r = 5$.
   3. Calculate the area of the circle: $A = \pi r^2 = \pi(5^2) = 25\pi$.
   4. Subtract the circle's area from the square's area: $100 - 25\pi$.
2. Verbal Reasoning (Sentence Equivalence): The scientist's report was so ________ that even experts in the field struggled to follow her logic.
   1. Analyze the context: The word "struggled" suggests the report was difficult to understand or obscure.
   2. Identify potential synonyms: Words like "abstruse," "recondite," or "opaque" fit this context.
   3. Select the pair: If the options include "abstruse" and "recondite," these are the correct choices as they both mean difficult to understand.
3. Quantitative Reasoning (Algebra): Solve for $x$ if $3^{(x+1)} = 81$.
   1. Express both sides with the same base: $81 = 3^4$.
   2. Set the exponents equal to each other: $x + 1 = 4$.
   3. Solve for $x$: $x = 3$.

Practice Questions

1. A car travels at an average speed of $60$ miles per hour for $2.5$ hours and then at an average speed of $70$ miles per hour for $1.5$ hours. What is the total distance traveled by the car?

2. If $x > 0$ and $x^2 - 5x - 6 = 0$, what is the value of $x$?

3. Select the two words that best fit the blank: The manager's ________ personality made it difficult for employees to predict his reactions to minor mistakes.
(A) mercurial
(B) phlegmatic
(C) volatile
(D) stoic
(E) suspicious
(F) constant

4. In a group of $40$ people, $25$ speak Spanish, $15$ speak French, and $10$ speak both. How many people speak neither language?

5. Which of the following is equivalent to $\frac{2^8 - 2^7}{2}$?

6. An investor buys a stock for $40 and sells it for $50. What is the percentage increase in the stock's value?

7. A rectangular box has a volume of $120$ cubic units. If the length is $5$ and the width is $4$, what is the height?

8. Fill in the blank: Despite the professor's reputation for being ________, he was surprisingly lenient when grading the final projects.
(A) benevolent
(D) exacting
(C) magnanimous
(D) fastidious

9. If $n$ is an integer and $n^2$ is odd, which of the following must be true? (I) $n$ is odd, (II) $n+1$ is even, (III) $n^2 + 1$ is even.

10. A bag contains $3$ red marbles, $4$ blue marbles, and $5$ green marbles. If one marble is drawn at random, what is the probability that it is NOT blue?

Answers & Explanations

1. Total Distance: Distance = Speed $\times$ Time. First leg: $60 \times 2.5 = 150$ miles. Second leg: $70 \times 1.5 = 105$ miles. Total: $150 + 105 = 255$ miles.
2. Equation Solve: Factor the quadratic: $(x - 6)(x + 1) = 0$. The roots are $x = 6$ and $x = -1$. Since the problem states $x > 0$, the answer is $6$.
3. Sentence Equivalence: The words "mercurial" and "volatile" both describe someone prone to sudden or unpredictable changes in mood. This fits the context of employees being unable to predict reactions.
4. Set Theory: Use the formula $n(A \cup B) = n(A) + n(B) - n(A \cap B)$. So, $25 + 15 - 10 = 30$ people speak at least one language. Since there are $40$ people total, $40 - 30 = 10$ speak neither.
5. Exponents: Factor the numerator: $2^7(2 - 1) = 2^7(1) = 2^7$. Then, $\frac{2^7}{2} = 2^6$.
6. Percentage Increase: $\frac{ \text{New} - \text{Old}}{ \text{Old}} \times 100$. So, $\frac{50 - 40}{40} \times 100 = \frac{10}{40} \times 100 = 25\%$.
7. Volume: $V = l \times w \times h$. So, $120 = 5 \times 4 \times h \rightarrow 120 = 20h$. Solving for $h$, we get $h = 6$.
8. Text Completion: The word "Despite" signals a contrast. Since he was "lenient," the blank needs a word that means the opposite, such as "exacting" or "demanding."
9. Number Properties: If $n^2$ is odd, $n$ must be odd. Therefore, (I) is true. If $n$ is odd, $n+1$ is even, so (II) is true. If $n^2$ is odd, $\text{odd} + 1 = \text{even}$, so (III) is true. All three are true.
10. Probability: Total marbles = $3 + 4 + 5 = 12$. Blue marbles = $4$. Marbles that are not blue = $12 - 4 = 8$. Probability = $\frac{8}{12} = \frac{2}{3}$.

1. If a shirt originally costing $80 is on sale for 20% off, what is the new price?

• A$60
• B$64
• C$72
• D$16

Frequently Asked Questions

How many questions are on the GRE?

The GRE consists of approximately 80 questions split across the Verbal and Quantitative sections, plus two essay tasks in the Analytical Writing section. The exact number can vary slightly based on the specific version of the test administered.

Is the GRE Quantitative section harder than high school math?

While the topics like arithmetic, algebra, and geometry are similar to high school curricula, the GRE focuses on logical reasoning and data interpretation rather than simple computation. Many find the time pressure and complexity of the word problems more challenging than standard classroom exams.

How can I improve my GRE vocabulary quickly?

Focus on learning words in context and using tools like an AI Flashcard Generator to reinforce memory through spaced repetition. Reading high-level publications like The Economist or Scientific American also helps expose you to GRE-level prose.

What is a good GRE score for top grad schools?

A "good" score is highly dependent on the program, but many competitive universities look for scores in the 160+ range for the section most relevant to the degree. Always check the specific median scores of your target institutions to set a realistic goal.

Should I guess on the GRE if I don't know the answer?

Yes, there is no penalty for incorrect answers on the GRE, so you should never leave a question blank. If you are stuck, use the process of elimination to increase your odds and then make an educated guess before time runs out.