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**Book Summary of How to Prepare for Quantitative Aptitude for the CAT Common Admission Test**

The revised edition of Quantitative Aptitude for the CAT established bestseller is as per the latest pattern of the CAT (Common Admission Test) question paper. The book will also be extremely useful for those preparing for other MBA entrance examinations like XAT, SNAP, CMAT, NMAT, etc.

Quantitative Aptitude is quite challenging component of the CAT question paper and the other mentioned MBA entrance examinations. In his inimitable style, Arun Sharma, an acknowledged authority on the topic, provides a comprehensive package of theory and practice problems to enable aspirants to attempt questions with extra speed and confidence.

**Table of Contents**

**First Things First**

**1. Additions and Subtractions (as an extension of additions)**

- Ideas for adding and subtracting well
- Subtractions - Just an extension of additions

**2. Multiplications**

**3. Divisions, Percentage Calculations and Ratio Comparisons**

- Calculating Decimal Values for Division Questions Using Percentage Calculations
- Percentage Rule for Calculating Percentage Values through Additions
- Ratio Comparisons

**4. Squares and Cubes of Numbers**

- Square and Square Roots
- Squares for Numbers from 31 to 50
- Findings Squares of Numbers between 81 to 100
- Cubes and Cube Roots

**BLOCK -- I**

- Introduction
- Back to School
- Preassessment Test
- Score Interpretation Algorithm for Pre-assessment Test of Block
- The Number Line
- Operations on Number
- Series of Number

**1. NUMBER SYSTEMS**

- Introduction
- Definitions
- Some Properties of Prime Numbers
- Short Cut Process
- The Concept of GCD (Great Common Divisor or Highest Common Factor)
- Shortcut for Finding the GCD of Two Numbers n1& n2 Divisibility
- Number of Zeroes in an Expression
- The Remainder Theorem
- Using Negative Remainders
- Another Important Point
- An Application of Remainder Theorem Base System
- Worked-out-Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Solutions & Shortcuts

**2. PROGRESSIONS**

- Arithmetic Progression
- Geometric Progression
- Harmonic Progression
- Theorems Related with Progressions
- Worked-out-Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Solutions & Shortcuts
- Block Review Tests

**BLOCK -- II**

**3. AVERAGES**

- Theory
- Worked-out-Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key

**4. ALLEGATIONS**

- Introduction
- Theory
- Some typical situations where alligations can be used
- Level of Difficulty (LOD) I
- Answer Key
- Solutions & Shortcuts
- Block Review Tests

**BLOCK -- III**

- Back to School
- The Logic of the Standard Statement
- Preassessment Test
- Score Interpretation Algorithm

**5. PERCENTAGES**

- Introduction
- Basic Definition and Utility of Percentage
- Importance of Base/Denominator for percentage calculations
- Concept of Percentage change
- Percentage Rule for Calculating Percentage Values through Additions
- Effect of a Percent Change in the Numerator on a Ratio's Value
- Fraction to Percentage Conversion Table
- Worked-out Problems
- Level of Diffculty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Solutions & Shortcuts

**6. PROFIT AND LOSS**

- Introduction
- Theory
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Solutions & Shortcuts

**7. INTEREST**

- Introduction
- Concept of Time Value of Money
- Simple Interests
- Compound Interest
- Depreciation of Value
- Population
- Applications of Interests in D.I.
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Answer key
- Solutions & Shortcuts

**8. RATIO, PROPORTION AND VARIATION**

- Introduction
- Ratio
- Mathematical Uses of Ratios
- Proportion
- Variation
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Solutions & Shortcuts

**9. TIME AND WORK**

- Introduction
- Alternative Approach
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Solutions & Shortcuts

**10. TIME, SPEED AND DISTANCE**

- Introduction
- Theory of TSD
- An Application of Alligation in Time, Speed and Distance
- Applications of Time, Speed and Distance
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Solutions & Shortcuts
- Block Review Tests
- BLOCK -- IV
- Back to School
**Preassessment Test**

**11. GEOMETRY AND MENSURATION PART I: GEOMETERY**

- Introduction
- Theory
- Straight Lines
- Polygons
- Triangles (D)
- Equilateral Triangles (of side a)
- Quadrilaterals
- Types of Quadrilaterals
- Regular Hexagon
- Circles
- Ellipse
- Star
- PART II: MENSURATION
- Worked-out Problems
- How to Think in Geometry and Mensuration
- Special Note About CAT Questions Geometry
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Mensuration
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Answer Key
- Solutions & Shortcuts
- Extra Practice Exercise

**12. COORDINATE GEOMETRY**

- Cartesian Coordinate System
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Block Review Tests
- BLOCK -- V
- Back to School
- What Approach Change do you Need?
- Preassessment Test

**13. FUNCTIONS**

- Basic Methods of Representing Functions
- Even and Odd Functions
- Shifting of Graphs
- Combining Movements
- Inequalities
- Logarithms
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer key
- Solutions & Shortcuts

**14. INEQUALITIES**

- Properties of Inequalities
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Answer Key
- Solutions & Shortcuts

**15. QUADRATIC EQUATIONS**

- Introduction
- Theory
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Answer Key
- Solutions & Shortcuts
- 16. LOGARITHMS
- Introduction
- Theory
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Answer Key
- Solutions & Shortcuts
- Block Review Tests

**BLOCK -- VI**

- Back to School
- The Tool Box Approach to P&C
- Pre-assessment Test

**17. PERMUTATIONS AND COMBINATIONS**

- Standard Theory
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Answer Key
- Solutions & Shortcuts
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Answer Key
- Solutions & Shortcut
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Solutions & Shortcuts

**18. POBABILITY**

- Concept and Importance of Probability
- Underlying Factors for Real-Life Estimation of Probability
- Basic Facts About Probability
- Some Important Considerations while Defining Event
- Another Approach to Look at the Probability Problems
- Worked-out Problems
- Level of Difficulty (LOD) I
- Level of Difficulty (LOD) II
- Level of Difficulty (LOD) III
- Answer Key
- Solutions & Shortcuts

**19. SET THEORY**

- Set Theory
- Level of Difficulty (LOD) I
- Answer Key
- Solutions & Shortcuts
- Block Review Tests
- MOCK TEST PAPERS 1?3
- MODEL TEST PAPER