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# Quantitative Reasoning

The main objective of the GRE quantitative segment is to assess the test-taker’s grasp of the basic math concepts.Candidates taking the computer-based test are provided with on-screen calculators, and those taking the paper-based test are provided handheld calculators. However, the ETS GRE website contains some guidelines that advise against the use of the calculator for some type of questions.On your GRE, you will see all the Quantitative Comparison questions first, then Problem Solving questions. Near the end of the Problem Solving questions, you’ll encounter the Data Interpretation questions, presented as a set.

Some of the Quantitative Reasoning questions are posed in real-life settings, while others are posed in purely mathematical settings. Many of the questions are “word problems,” which must be translated and modeled mathematically.The most common Problem Solving questions are standard multiple-choice questions with 5 choices and one correct answer. Variants include questions that ask you to select 1 or more answer choices from a list (all-that-apply) and questions that ask you to enter your answer in a box (numeric entry).

The Quantitative Reasoning section of the GRE® General Test contains four types of questions:

• Quantitative Comparison Questions
• Multiple-choice Questions — Select One Answer Choice
• Multiple-choice Questions — Select One or More Answer Choices
• Numeric Entry Questions

#### Concepts InQuantitative Reasoning section

• Algebra
• Arithmetic
• Geometry
• Data Analysis

## Sample questions

### Algebra

The review of algebra begins with algebraic expressions, equations, inequalities, and functions and then progresses to several examples of applying them to solve real-life word problems. The review of algebra ends with coordinate geometry and graphs of functions as other important algebraic tools for solving problems.

###### 1.Find an algebraic expression to represent each of the following.

(a)The square of y is subtracted from 5, and the result is multiplied by

(b)Three times x is squared, and the result is divided by

(c)The product of x + 4 and y is added to 18

(a)37 (5 –y2 ),or 185 – 37 y2

(b)(3x)2  /7  , or 9x2/7

(c) 18 + ( x + 4)( y ), or 18 + xy + 4 y

### Arithmetic

The review of arithmetic begins with integers, fractions, and decimals and progresses to the set of real numbers. The basic arithmetic operations of addition, subtraction, multiplication, and division are discussed, along with exponents and roots. The review of arithmetic ends with the concepts of ratio and percent.

###### 1. Which of the integers 2, 9, 19, 29, 30, 37, 45, 49, 51, 83, 90, and 91 are prime numbers?

Correct answer – 2, 19, 29, 37, and 83

### Geometry

The review of geometry begins with lines and angles and progresses to other plane figures, such as polygons, triangles, quadrilaterals, and circles. The review of geometry ends with some basic three-dimensional figures. Coordinate geometry is covered in the Algebra part.

### Data Analysis

The review of data analysis begins with methods for presenting data, followed by counting methods and probability, and then progresses to distributions of data, random variables, and probability distributions. The review of data analysis ends with examples of data interpretation

(b) 56

(b)15

(c)45