GRE Quantitative Reasoning Course

1. ARITHMETIC

6 Topics | 1 Quiz

1.1.1 The Integer Number Line

1.1.2 Basic Arithmetic Operations

1.1.3 Factors & Divisors

1.1.4 Remainder

1.1.5 Even/Odd Numbers

1.1.6 Prime Numbers & Prime Factors

Quiz 1.1 Integers

1.2 Fractions & Decimals

7 Topics | 1 Quiz

1.2.1 Fractions

1.2.2 Basic Operations with Fractions

1.2.3 How to Simplify a Fraction

1.2.4 Mixed Fractions

1.2.6 Operations with Decimals

1.2.7 Real Numbers

Quiz 1.2 Fractions & Decimals

1.3 Exponents & Roots

7 Topics | 1 Quiz

1.3.1 Exponents

1.3.2 Rules of Exponents

1.3.3 Operations with Exponents

1.3.5 Rules of Roots

1.3.6 Operations with Roots

1.3.7 (Extra Topic) Unit Digits of Large Numbers

Quiz 1.3 Exponents & Roots

1.4 Inequalities

4 Topics | 1 Quiz

1.4.1 Introduction

1.4.2 Logical Operators, Conditions and Statements

1.4.3 Solving Inequalities

1.4.4 Absolute Value

Quiz 1.4 Inequalities

1.5 Ratios & Proportions

3 Topics | 1 Quiz

1.5.2 Similar or Equivalent Ratios

1.5.3 Proportions

Quiz 1.5 Ratios & Proportions

1.6 Percentages

4 Topics | 1 Quiz

1.6.1 Introduction

1.6.2 Finding Whole Amounts

1.6.3 Percentages Greater than 100%

1.6.4 Percentage Changes

1.6 Percentages

2. ALGEBRA

2.1 Basics of Algebra

3 Topics

2.1.1 Algebraic Expressions

2.1.2 Definition of Functions

2.1.3 Functions: Domain and Range

6 Topics

2.2.1 Constant Functions

2.2.2 Linear Functions

2.2.3 Quadratic Functions

2.2.4 Higher Order Functions

2.2.5 Reciprocal Functions

2.2.6 Absolute Value Functions

6 Topics

2.3.1 Linear Equations in One Variable

2.3.2 Linear Equations in Two Variables

2.3.3 Simultaneous Equations in Two Variables

2.3.4 Quadratic Equations

2.3.5 Linear Inequalities

2.3.6 Quadratic Inequalities

2.4 Factorization

5 Topics

2.4.1 Factorization – Part 1: Single Factorization Method

2.4.2 Factorization – Part 2: Root Method

2.4.3 Factorization – Part 3: Higher Order Functions Method

2.4.4 Algebraic Identities

2.4.5 Simplifying

2.5 Graphs and Verbal Problems

3 Topics

2.5.1 Graphs of Functions

2.5.2 Transforming Words to Algebraic Relationships

2.5.3 Coordinated Geometry

Quiz 1.1 Integers

GRE Quantitative Reasoning Course 1.1 Integers Quiz 1.1 Integers

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Question 1 of 20

1. Question
1. What’s the farthest number away from 1 on this number line?
- A. -8
- B. -5
- C. 0
- D. 5
- E. 8
Correct

Incorrect
Question 2 of 20

2. Question
2. What is the correct order in which basic arithmetic operations should be done?
- A. Multiplication ⇒ Division ⇒ Subtraction ⇒ Addition
- B. Subtraction ⇒ Division ⇒ Multiplication ⇒ Addition
- C. Addition ⇒ Division ⇒ Multiplication ⇒ Subtraction
- D. Subtraction ⇒ Addition ⇒ Multiplication ⇒ Division
- E. Addition ⇒ Subtraction ⇒ Multiplication ⇒ Division
Correct

Incorrect
Question 3 of 20

3. Question
3. Which of the following is NOT a factor of 30?
- A. 1
- B. 2
- C. 5
- D. 7
- E. 10
Correct

Incorrect
Question 4 of 20

4. Question
4. Which of these numbers is a multiple of 5?
- A. 1
- B. 2
- C. 6
- D. 12
- E. 15
Correct

Incorrect
Question 5 of 20

5. Question
1. Which of these numbers is a divisor of 148?
- A. 4
- B. 8
- C. 18
- D. 37
- E. 48
Correct

Incorrect
Question 6 of 20

6. Question
1. What is the least common multiple of 3 and 5?
- A. 3
- B. 9
- C. 15
- D. 18
- E. 30
Correct

Incorrect
Question 7 of 20

7. Question
1. What is the greatest common divisor of 24 and 30?
- A. 2
- B. 3
- C. 6
- D. 12
- E. 24
Correct

Incorrect
Question 8 of 20

8. Question
8.What is the remainder when 29 is divided by 5?
- A. 0
- B. 1
- C. 2
- D. 4
- E. 6
Correct

Incorrect
Question 9 of 20

9. Question
9.What is the smallest prime number greater than 14?
- A. 15
- B. 16
- C. 17
- D. 18
- E. 19
Correct

Incorrect
Question 10 of 20

10. Question
10. What’s the prime factorization of 28?
- A. 2 x 14
- B. 2 x 2 x 7
- C. 4 x 7
- D. 2 x 2 x 2 x 7
- E. 14 x 2
Correct

Incorrect
Question 11 of 20

11. Question
11. Which of these is the prime factorization of 36?
- A. 4 x 9
- B. 6 x 6
- C. 2 x 2 x 3 x 3
- D. 2 x 18
- E. 9 x 4
Correct

Incorrect
Question 12 of 20

12. Question
12. What is the result of multiplying a negative number with a positive number: A x -B? (Select all that apply)
- A. AB
- B. BA
- C. -AB
- D. -BA
Correct

Incorrect
Question 13 of 20

13. Question
13. Which of the following are factors of 24? (Select all that apply)
- A. 2
- B. 3
- C. 5
- D. 6
- E. 11
Correct

Incorrect
Question 14 of 20

14. Question
14. Which of the following are not factors of 36? (Select all that apply)
- A. 3
- B. 5
- C. 6
- D. 8
- E. 12
Correct

Incorrect
Question 15 of 20

15. Question
1. Which of the following numbers are odd? (Select all that apply)
- A. 3
- B. 4
- C. 56
- D. 61
- E. 64
Correct

Incorrect
Question 16 of 20

16. Question
16. Which of the following numbers is prime?
- A. 13
- B. 17
- C. 21
- D. 25
- E. 29
Correct

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Question 17 of 20

17. Question
1. Type in the result of the following calculation: 5 x -3 + 4 % 2.
- 4
- 11
- -5/2
- -13
- 7
Correct

Incorrect
Question 18 of 20

18. Question
18. What is the prime factorization of 45?
- 3 x 5
- 3 x 3 x 5
- 2 x 2 x 3 x 3
- 2 x 3 x 3 x 3
- 3 x 3 x 5 x 7
Correct

Incorrect
Question 19 of 20

19. Question
19. What is the remainder when 45 is divided by 8?
- 1
- 2
- 3
- 4
- 5
Correct

Incorrect
Question 20 of 20

20. Question
20. What is the remainder of 63 divided by 4?
- 1
- 2
- 3
- 4
- 5
Correct

Incorrect

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