Easy GRE Quantitative Comparison Questions Practice Questions

Quantitative comparison questions make up approximately 35% of the GRE Quantitative Reasoning section, requiring test-takers to evaluate the relative size of two distinct quantities. These problems are unique because they do not always require a full calculation; instead, success often depends on recognizing mathematical relationships or using estimation. By focusing on Easy GRE Quantitative Comparison Questions Practice Questions, you can build the foundational speed and accuracy needed to tackle the more complex problems found later in the exam.

Concept Explanation

Quantitative Comparison (QC) questions present two quantities, labeled Quantity A and Quantity B, and ask you to determine the relationship between them. The goal is to choose one of four consistent answer choices: (A) if Quantity A is greater, (B) if Quantity B is greater, (C) if the two quantities are equal, or (D) if the relationship cannot be determined from the information given. To solve these efficiently, you should look for ways to simplify the expressions or use "plugging in" numbers—especially 0, 1, negatives, and fractions—to see if the relationship changes. Understanding GRE Prep fundamentals, such as basic arithmetic, algebra, and geometry, is essential since these questions test these core areas without the complexity of multi-step word problems. Unlike standard multiple-choice questions, QC questions reward conceptual shortcuts and logical elimination over exhaustive computation.

Solved Examples

1. Problem:
   Quantity A: $2^3 + 2^3$
   Quantity B: $2^4$
   
   Solution:
   1. Calculate Quantity A: $2^3 = 8$. So, $8 + 8 = 16$.
   2. Calculate Quantity B: $2^4 = 2 \times 2 \times 2 \times 2 = 16$.
   3. Compare the results: $16 = 16$.
   4. The quantities are equal. The answer is (C).
2. Problem:
   $x > 0$
   Quantity A: $\frac{x}{5}$
   Quantity B: $\frac{x}{6}$
   
   Solution:
   1. Since $x$ is positive, we can pick a sample number like $x = 30$.
   2. Quantity A: $\frac{30}{5} = 6$.
   3. Quantity B: $\frac{30}{6} = 5$.
   4. Since 6 is greater than 5, and any positive numerator divided by a smaller denominator yields a larger value, Quantity A is greater. The answer is (A).
3. Problem:
   Quantity A: The area of a square with side length 4.
   Quantity B: The perimeter of a square with side length 4.
   
   Solution:
   1. Area formula for a square is $s^2$. Quantity A: $4^2 = 16$.
   2. Perimeter formula for a square is $4s$. Quantity B: $4(4) = 16$.
   3. The quantities are equal. The answer is (C).

Practice Questions

1. $y = 3$
Quantity A: $2y^2$
Quantity B: $(2y)^2$

2. Quantity A: $0.15 \times 400$
Quantity B: $60$

3. $n$ is an integer where $1 < n < 4$
Quantity A: $n$
Quantity B: $2$

4. Quantity A: $\sqrt{100} - \sqrt{36}$
Quantity B: $\sqrt{100 - 36}$

5. $x < 0$
Quantity A: $x^2$
Quantity B: $x^3$

6. The average (arithmetic mean) of 10, 20, and $m$ is 20.
Quantity A: $m$
Quantity B: 30

7. A rectangular garden has a length of 10 and a width of $w$. The area is 50.
Quantity A: $w$
Quantity B: 6

8. Quantity A: $\frac{3}{7} + \frac{2}{5}$
Quantity B: $1$

Answers & Explanations

1. Answer: B. Quantity A is $2(3^2) = 2(9) = 18$. Quantity B is $(2 \times 3)^2 = 6^2 = 36$. Since 36 is greater than 18, Quantity B is greater. For more practice on algebraic expressions, check out GRE Practice Questions with Answers.
2. Answer: C. $15\%$ of 400 is calculated as $0.15 \times 400$. Since $15 \times 4 = 60$, then $0.15 \times 400 = 60$. Both quantities are equal.
3. Answer: D. The possible integer values for $n$ between 1 and 4 are 2 and 3. If $n = 2$, the quantities are equal. If $n = 3$, Quantity A is greater. Since two different relationships are possible, the answer is D.
4. Answer: B. Quantity A: $10 - 6 = 4$. Quantity B: $\sqrt{64} = 8$. Since 8 is greater than 4, Quantity B is greater.
5. Answer: A. If $x$ is negative, $x^2$ will always be positive (e.g., $(-2)^2 = 4$). However, $x^3$ will always be negative (e.g., $(-2)^3 = -8$). Any positive number is greater than any negative number.
6. Answer: C. The sum of the numbers is $10 + 20 + m = 30 + m$. Since the average of 3 numbers is 20, the sum must be $3 \times 20 = 60$. Solving $30 + m = 60$ gives $m = 30$. Both quantities are equal.
7. Answer: B. Area = length $\times$ width. So, $10w = 50$, which means $w = 5$. Since 5 is less than 6, Quantity B is greater.
8. Answer: B. To compare, find a common denominator (35) or use estimation. $\frac{3}{7}$ is less than $0.5$, and $\frac{2}{5}$ is $0.4$. Their sum is $0.428 + 0.4 = 0.828$, which is less than 1. You can find similar logic puzzles in our GRE Practice Questions with Explanations.

Preparing for these types of questions can be enhanced by using an AI Exam Simulator to mimic the actual testing environment. Additionally, reviewing Free GRE Practice Questions can help solidify these basic concepts.

Frequently Asked Questions

What are the four answer choices for GRE Quantitative Comparison?

The choices are always: (A) Quantity A is greater, (B) Quantity B is greater, (C) The two quantities are equal, and (D) The relationship cannot be determined from the information given.

Can I use a calculator on Quantitative Comparison questions?

Yes, the GRE provides an on-screen calculator for the entire Quantitative Reasoning section, though many easy QC questions are faster to solve using logic or mental math.

How do I handle variables in Quantitative Comparison?

The best approach is to test "FROZEN" numbers: Fractions, Roots, One, Zero, Extremes, and Negatives. If different numbers lead to different relationships, the answer is always (D).

Does the GRE provide geometric figures drawn to scale?

No, figures are not necessarily drawn to scale unless specifically stated. You should rely on geometric theorems and given dimensions rather than visual estimation.

What is the most common mistake in easy QC questions?

The most common mistake is assuming a variable must be a positive integer. Forgetting that variables can be fractions, zero, or negative numbers often leads to choosing (A), (B), or (C) when the answer should be (D).