Medium GRE Practice Questions with Explanations Practice Questions

Concept Explanation

Medium GRE practice questions represent the core difficulty level of the Graduate Record Examination, requiring a balance of fundamental knowledge and strategic application. These questions typically go beyond simple recall and ask test-takers to synthesize information, identify logical fallacies, or solve multi-step mathematical problems. Succeeding at this level is essential for achieving a competitive score, as the adaptive GRE practice test mechanisms will transition you to more difficult sections only if you demonstrate proficiency with these intermediate concepts. Success involves mastering GRE Prep strategies like process of elimination for Verbal Reasoning and quantitative comparison shortcuts for the Math section. By focusing on medium-difficulty items, students bridge the gap between basic arithmetic or vocabulary and the complex reasoning required for top-tier graduate programs.

Solved Examples

Review these worked examples to understand the logic required for mid-level GRE problems.

1. Quantitative Comparison: Compare Quantity A and Quantity B.
   Quantity A: $\frac{2^5 \times 2^3}{2^4}$
   Quantity B: $2^4$
   1. Simplify Quantity A using exponent rules: $2^{5+3} = 2^8$.
   2. Divide by the denominator: $\frac{2^8}{2^4} = 2^{8-4} = 2^4$.
   3. Quantity A is $2^4$ and Quantity B is $2^4$.
   4. The two quantities are equal.
2. Text Completion: The researcher’s claim was so _______ that even her most loyal supporters found it difficult to defend her against accusations of bias.
   Options: (A) plausible (B) contentious (C) understated
   1. Identify the clue: "difficult to defend" and "accusations of bias."
   2. The word must describe a claim that is hard to support and likely to cause disagreement.
   3. "Plausible" means believable, which contradicts the context. "Understated" means subtle, which doesn't fit the defensive context.
   4. "Contentious" means causing or likely to cause an argument. This fits perfectly.
3. Geometry: A circle is inscribed in a square with a side length of 10. What is the area of the circle?
   1. If a circle is inscribed in a square, its diameter is equal to the side of the square.
   2. Diameter $d = 10$, so radius $r = 5$.
   3. The formula for the area of a circle is $A = \pi r^2$.
   4. $A = \pi (5^2) = 25\pi$.

Practice Questions

Test your skills with these medium GRE practice questions with explanations covering various topics.

1. If $3x + 7 = 22$, what is the value of $(x - 2)^2$?

2. Select the two words that best complete the sentence: Although the CEO was known for his _______ demeanor in public, his private correspondences revealed a deeply anxious and insecure individual.
(A) stoic (B) fretful (C) composed (D) volatile (E) bellicose (F) fastidious

3. A bag contains 4 red marbles, 6 blue marbles, and 10 green marbles. If one marble is picked at random, what is the probability that it is NOT blue?

4. Quantity A: The average (arithmetic mean) of $x, x+2, \text{ and } x+4$.
Quantity B: $x+2$

5. In a group of 80 students, 45 study French, 30 study Spanish, and 15 study both. How many students study neither language?

6. The primary purpose of the passage is to... (Assume a passage discussing the impact of 19th-century industrialization on rural craftsmanship).
(A) catalog the inventions of the 19th century (B) argue that industrialization was purely beneficial (C) analyze the decline of traditional artisan roles (D) criticize the quality of factory-made goods

7. If $y > 0$ and $2y^2 - 8 = 0$, what is the value of $y^3$?

8. Which of the following is a synonym for "Ephemeral"? (A) Permanent (B) Transitory (C) Ethereal (D) Resilient

Answers & Explanations

1. Answer: 9. First, solve for $x$: $3x = 15 \Rightarrow x = 5$. Then, substitute $x$ into the expression: $(5 - 2)^2 = 3^2 = 9$.
2. Answer: (A) stoic and (C) composed. The sentence uses "Although" to indicate a contrast. The second half describes him as "anxious and insecure," so the first half needs words meaning calm or unemotional. Both stoic and composed fit this GRE sentence equivalence logic.
3. Answer: $\frac{7}{10}$ (or 0.7). Total marbles = $4 + 6 + 10 = 20$. Blue marbles = 6. Non-blue marbles = $20 - 6 = 14$. Probability = $\frac{14}{20} = \frac{7}{10}$.
4. Answer: The two quantities are equal. Average = $\frac{x + (x+2) + (x+4)}{3} = \frac{3x + 6}{3} = x + 2$. Quantity A is $x+2$, which is identical to Quantity B.
5. Answer: 20. Use the formula for sets: $\text{Total} = \text{French} + \text{Spanish} - \text{Both} + \text{Neither}$. $80 = 45 + 30 - 15 + N$. $80 = 60 + N$. $N = 20$.
6. Answer: (C). Based on the prompt's context of 19th-century industrialization vs. rural craftsmanship, the focus is likely on the shift or displacement of the artisan's role. For more on this, see GRE reading passage questions.
7. Answer: 8. Solve $2y^2 = 8 \Rightarrow y^2 = 4$. Since $y > 0$, $y = 2$. Thus, $y^3 = 2^3 = 8$.
8. Answer: (B) Transitory. Ephemeral means lasting for a very short time. Transitory is a direct synonym. You can practice more of these with GRE synonym questions.

1. If a rectangular garden has a perimeter of 40 feet and its length is 12 feet, what is its area in square feet?

• A48
• B96
• C144
• D160

Frequently Asked Questions

What defines a medium-level GRE question?

Medium-level questions usually require applying two or more concepts simultaneously or involve distractors that test your attention to detail. They are designed to differentiate between average and high-performing students by testing logic rather than just rote memorization.

How many medium questions are on the GRE?

The first section of both the Verbal and Quantitative portions typically contains a mix of easy, medium, and hard questions to determine your skill level. Depending on your performance, the second section will adjust its difficulty, often focusing heavily on medium or hard items for high scorers.

Can I use a calculator for medium GRE math questions?

Yes, an on-screen calculator is provided for the Quantitative Reasoning section. However, many medium questions are designed to be solved faster using mental math or estimation techniques rather than raw calculation.

How can I improve my accuracy on medium Verbal questions?

Focus on identifying the "clue" and the "transition word" in the sentence. For reading comprehension, ensure every part of your chosen answer is supported directly by the text, as medium questions often have answers that are "half-right." Tools like the AI Question Generator can help produce targeted practice in these areas.

Is the scoring weight different for medium and hard questions?

While each question within a section contributes equally to that section's raw score, the GRE is section-level adaptive. This means performing well on medium questions in the first section unlocks a harder second section, which carries a higher potential for a top-tier scaled score.