Easy GRE Quantitative Reasoning Set 2 Practice Questions

Concept Explanation

Easy GRE Quantitative Reasoning Set 2 Practice Questions focus on fundamental arithmetic, basic geometric properties, and elementary data analysis concepts required for the Graduate Record Examination.

Success on the GRE Prep quantitative section does not necessarily require advanced calculus; rather, it demands a mastery of high school-level mathematics used in clever or efficient ways. This specific set covers topics such as percentage changes, average (arithmetic mean), properties of integers, and basic algebraic manipulation. Understanding these concepts is the first step toward utilizing more advanced tools like an AI Exam Simulator to build testing stamina.

Key areas covered in this practice set include:

• Arithmetic: Operations with fractions, decimals, and percentages.
• Algebra: Solving linear equations and simplifying expressions.
• Geometry: Calculating area, perimeter, and angle measurements for standard shapes.
• Data Analysis: Interpreting simple tables and calculating basic statistics like mean and median.

According to the Educational Testing Service (ETS), the Quantitative Reasoning measure assesses your ability to reason quantitatively and to solve problems with quantitative methods. Practicing with GRE Practice Questions with Answers helps solidify these foundations before moving on to harder difficulty tiers.

Solved Examples

Review these step-by-step solutions to understand the logic behind common GRE quantitative problems.

1. Percentage Calculation: If the price of a shirt is reduced from $80 to $60, what is the percentage decrease?
   1. Find the amount of the decrease: $80 - 60 = 20$.
   2. Divide the decrease by the original price: $\frac{20}{80} = 0.25$.
   3. Convert the decimal to a percentage: $0.25 \times 100 = 25\%$.
   4. The answer is 25%.
2. Average (Mean) Problem: The average of four numbers is 15. If three of the numbers are 10, 12, and 18, what is the fourth number?
   1. Use the average formula: $\text{Sum} = \text{Average} \times \text{Count}$.
   2. Calculate the total sum: $15 \times 4 = 60$.
   3. Add the known numbers: $10 + 12 + 18 = 40$.
   4. Subtract the known sum from the total sum: $60 - 40 = 20$.
   5. The fourth number is 20.
3. Basic Geometry: A rectangular garden has a perimeter of 40 meters. If the length is 12 meters, what is the width?
   1. Use the perimeter formula: $P = 2l + 2w$.
   2. Substitute the known values: $40 = 2(12) + 2w$.
   3. Simplify the equation: $40 = 24 + 2w$.
   4. Subtract 24 from both sides: $16 = 2w$.
   5. Divide by 2: $w = 8$.
   6. The width is 8 meters.

Practice Questions

1. If $3x + 7 = 22$, what is the value of $x$?

2. A bag contains 5 red marbles, 8 blue marbles, and 7 green marbles. If one marble is drawn at random, what is the probability that it is blue?

3. Quantity A: The area of a square with side length 6.
Quantity B: The area of a circle with radius 3.

4. If a car travels at a constant speed of 45 miles per hour, how many miles will it travel in 4 hours and 20 minutes?

5. What is the sum of the interior angles of a pentagon?

6. Quantity A: $\frac{2}{3} + \frac{1}{4}$
Quantity B: $\frac{11}{12}$

7. A set of numbers consists of {4, 8, 15, 16, 23, 42}. What is the median of this set?

8. If $y = 2x - 5$ and $x = 4$, what is the value of $y^2$?

9. A laptop is on sale for 15% off its original price of $1,200. What is the sale price?

10. If $n$ is an even integer, which of the following must be an odd integer? (A) $n^2$, (B) $n+2$, (C) $2n$, (D) $n+1$.

Answers & Explanations

1. Answer: 5. Subtract 7 from both sides to get $3x = 15$. Divide by 3 to find $x = 5$.
2. Answer: $\frac{2}{5}$ or 0.4. Total marbles = $5 + 8 + 7 = 20$. Probability of blue = $\frac{8}{20}$, which simplifies to $\frac{2}{5}$.
3. Answer: Quantity A is greater. Area of square = $6^2 = 36$. Area of circle = $\pi \times 3^2 = 9\pi \approx 9 \times 3.14 = 28.26$. Since $36 > 28.26$, Quantity A is larger.
4. Answer: 195 miles. Convert 20 minutes to hours: $\frac{20}{60} = \frac{1}{3}$ hour. Total time = $4 + \frac{1}{3} = \frac{13}{3}$ hours. Distance = $45 \times \frac{13}{3} = 15 \times 13 = 195$.
5. Answer: 540 degrees. Use the formula $(n-2) \times 180$. For a pentagon, $n=5$, so $(5-2) \times 180 = 3 \times 180 = 540$.
6. Answer: The two quantities are equal. To add fractions, find a common denominator (12): $\frac{8}{12} + \frac{3}{12} = \frac{11}{12}$.
7. Answer: 15.5. Since there is an even number of terms (6), the median is the average of the middle two terms: $\frac{15 + 16}{2} = 15.5$.
8. Answer: 9. Substitute $x=4$: $y = 2(4) - 5 = 8 - 5 = 3$. Then $y^2 = 3^2 = 9$.
9. Answer: $1,020. Discount = $0.15 \times 1200 = 180$. Sale price = $1200 - 180 = 1020$.
10. Answer: (D) $n+1$. Adding 1 to any even integer always results in an odd integer.

1. If a circle has a diameter of 10, what is its circumference?

• A5π
• B10π
• C20π
• D25π

Frequently Asked Questions

What math level is required for the GRE Quantitative Reasoning section?

The GRE Quantitative Reasoning section tests math concepts typically taught in high school, including arithmetic, algebra, geometry, and data analysis. It does not include high-level math such as trigonometry or calculus.

Are calculators allowed during the GRE Quantitative section?

Yes, an on-screen calculator is provided for the computer-delivered GRE General Test. It includes basic functions like addition, subtraction, multiplication, division, and square roots.

How is the GRE Quantitative section scored?

The section is scored on a scale from 130 to 170 in one-point increments. It is a section-level adaptive test, meaning your performance on the first section determines the difficulty of the second section.

What is the difference between Quantity A and Quantity B questions?

These are Quantitative Comparison questions where you must determine if Quantity A is greater, Quantity B is greater, the two are equal, or if the relationship cannot be determined. They require logical reasoning often more than calculation.

How long should I study for the GRE Quantitative section?

Most students spend between 1 to 3 months preparing, depending on their starting proficiency. Consistent practice using resources like Unlimited GRE Practice Questions is recommended for best results.