Key Features:
- 27 core Chapters
- Each chapter contains theory, solved examples and exercises based on difficulty levels
- All questions with detailed solutions
- Difficulty levels indicated along with solutions
- Question papers of Quantitative Aptitude of 2006, 2007 & 2008 with solutions for first two
- Three high quality Mock CAT papers on Quantitative Aptitude with solutions
- A new Final Mock CAT (Quants ) Paper at the end for a final assessment of preparation level
Six broad preparation strategies in this book:
- Carefully graded difficulty level of questions
- Each question has detailed solution
- Solutions supported by relevant thought-process
- Focus on 'best method approach' to each question
- Each topic ends with a set of CAT questions ( difficulty levels 1 & 2)
- How to prepare intensely, yet enjoy the preparation
Table of Contents:
- Article-1: Coping With Pressure
- Article-2: Common Traps To Avoid In The Quant Section
- Article-3: What Should You Make Right This CAT Vis-a-Vis Your Last CAT?
- Article-4: On Your Mark!
- Article-5: Under What Circumstances Is It A Good Idea To Quit Your Job And Prepare For The CAT?
- Solved CAT (Quants) 2006
- Solved CAT (Quants) 2007
- Unsolved CAT (Quants) 2008
- Solved Mock-1 (Quants)
- Solutions
- Solved Mock-2 (Quants)
- Solutions
- Unsolved Mock-3 (Quants)
1. Averages
- Exercise Problems
- CAT level Questions
- Solutions
2. Percentages
- Percentages and Fractions
- Decimals and Percentages
- Exercise Problems
- CAT level Questions
- Solutions
- Some Important Terms
- Marked Price and Discount
- Exercise Problems
- CAT level Questions
- Solutions
- Unique Solution, Infinite Solutions and No Solution
- Linear Equations - Norms for Solutions
- Exercise Problems
- CAT level Questions
- Solutions
- Solving Quadratic Equations - Usually by Splitting the Middle Term
- Guidelines for Number/Type of Roots
- Sum and Product of Roots
- Exercise Problems
- CAT level Questions
- Solutions
- Comparison of Ratios
- Proportions
- Variations
- Exercise Problems
- CAT level Questions
- Solutions
- Exercise Problems
- CAT level Questions
- Solutions
- Keeping an Eye on the Units
- Quantitative Aptitude for the CAT
- Understanding the Formula
- The Idea of Average Speed
- The Idea of Relative Speed
- Ideas with Trains and Boats
- Exercise Problems
- CAT level Questions
- Solutions
- Race along a Straight Track
- Circular Race
- Exercise Problems
- CAT level Questions
- Solutions
- Rate of Flow
- Exercise Problems
- CAT level Questions
- Solutions
- Arithmetic Progression
- Properties of an A.P.
- Geometric Progression
- Properties of a G.P.
- Harmonic Progressions
- Properties of H.P.
- A.M.-G.M.-H.M. Inequality
- Exercise Problems
- CAT level Questions
- Solutions
- Compound Interest
- Different compounding periods
- Time Taken for a Sum of Money to Double - (in Compound Interest)
- Simple and Compound Interest - Some Key Points
- Exercise Problems
- CAT level Questions
- Solutions
- Basic Properties of Logarithms
- Properties of Exponents
- Properties of Logarithms
- A few more Properties in Logarithms
- Characteristic and Mantissa
- Inequalities in Logarithms
- Exercise Problems
- CAT level Questions
- Solutions
- Some Key Properties of Binomial Expansion
- Properties of nCr for Simplification
- Exercise Problems
- CAT level Questions
- Solutions
- Key Idea - How Much does the Minute Hand ‘Gain'? Other Key Points
- How Many Times do the Minute and Hour Hands Coincide?
- 180° and 90° Angles
- Exercise Problems
- CAT level Questions
- Solutions
- Calendars
- Exercise Problems
- CAT level Questions
- Solutions
- Quantitative Aptitude for the CAT
- Do's: List of Items We can do while Solving Inequalities
- List of Items We should avoid while Solving Inequalities
- Dealing with - x
- Number Line
- Range, Open Interval, Closed Interval
- Role of +, -
- Idea of between the Roots and Outside the Roots
- Inequalities with Modulus
- AM- GM Inequality
- Inequalities in Exponents and Logarithms
- Exercise Problems
- CAT level Questions
- Solutions
- Domain and Range of a Function
- Even and Odd Functions
- Properties of Even Functions and Odd Functions
- Surjective, Injective and Bijective Functions
- Bijective function
- Monotonically Increasing, Decreasing, Non-inc reasing and Non-decreasing
- Exercise Problems
- CAT level Questions
- Solutions
- Types of Sets
- Union and Intersection of Two Sets
- Key Property with Cardinal Number
- Properties with Three Sets
- Exercise Problems
- CAT level Questions
- Solutions
- Number Classifications
- Some Interesting Properties of Prime Numbers
- Properties of Odd and Even Numbers
- Factors and Multiples
- Factorisation, Prime Factorisation and the Fundamental Theorem of Arithmetic HCF and LCM
- HCF - Highest Common Factor
- LCM - Least Common Multiple
- Coprime Numbers
- Fractions
- Decimals
- Rules of Exponents
- Fibonacci Numbers
- Prime Factorisations-Some Simple Properties
- Factors, Properties
- Rationale Behind the Above Formulae
- Remainders: Three Key Ideas
- First Idea - Definition
- Second Idea - Remainders are Consistent for Addition, Subtraction, and Multiplication
- Third Idea-Remainders Follow a Pattern
- Fermat's Little Theorem
- Euler's Function
- Wilson's Theorem
- Factorial
- Remainders on Successive Division
- Expressing Number with Different Base
- Converting from Decimal to Some Other Base
- Base n Mathematic
- Exercise Problems
- CAT level Questions
- Solutions
- Simple Expansions and Factorisations
- Some Other Key Expansions
- Polynomial Remainder Theorem
- Partial Fraction Decomposition
- Factorisation Properties
- Rules for Sum/Product of Roots for Higher Order Polynomials
- Exercise Problems
- CAT level Questions
- Solutions
- Quantitative Aptitude for the CAT
- Key Concepts and Theory
- Fundamental Rule of Counting
- Rule of Sum
- The Idea of Order
- The Idea of Repetition
- Rearrangements
- Problems Based on Digits of A Number
- Problems Based on Rearrangement of Letters of A Word
- Problems Based on Dice
- Problems Based on Coin Tosses
- Problems Based on Card Packs
- Circular Arrangement
- Selecting One or More from A Set
- Distribution into Groups
- Distribution into Groups - Variants
- Alternative Method Counting and Number Theory
- Exercise Problems
- CAT level Questions
- Solutions
- Deterministic and Probabilistic Events
- Probability of an Event
- Sample Space
- Complementary Events
- Mutually Exclusive Events
- Mutually Exclusive and Collectively Exhaustive Events
- Independent Events
- Exercise Problems
- CAT level Questions
- Solutions
- Angles
- Types of Angles
- Angles at the Intersection of Lines
- Basic Properties of Lines and Planes
- Parallel Lines and Transversal
- Triangles
- Properties of a Triangle
- Classifications of Triangles
- Pythagoras Theorem and its Extensions
- Angle Bisector Theorem
- Basic Proportionality Theorem
- Congruence
- Similarity
- Centroid, Orthocenter, Incenter, Circumcenter
- Points to Remember
- Equilateral Triangle
- Right-Angled Triangle
- Isosceles Triangle
- Apollonius Theorem
- Two Special Triangles
- Sine Rule, Cosine Rule
- Area of a Triangle (5 Different Formulae)
- Circles
- Definitions
- Basic Properties of a Circle
- Properties of Angles in Circles
- Properties with two Circles
- Properties of Tangents and Secants
- Quadrilaterals
- Parallelogram
- Rectangle
- Rhombus
- Square
- Trapezium or Trapezoid
- Kite
- Polygons
- Convex Polygon
- Concave Polygon
- Regular Polygon
- Angle Properties
- Exercise Problems
- CAT level Questions
- Solutions
- Quantitative Aptitude for the CAT
- Section Formula
- Slope of a Line
- Origin Changing Formula
- Line Properties
- Four Ways of Forming a Line Equation
- Slope-point Form
- Two-points Form
- Slope-intercept Form
- Two-intercepts Form
- Parallel Lines and Perpendicular Lines Equation of A Circle
- Exercise Problems
- CAT level Questions
- Solutions
- Measures of Angles
- Basic Trigonometric Equations
- Basic Trigonometric Value
- Some Basic Values
- Some Key Results
- Results for Angle Combinations
- Formulae for 2q
- Ratios and Quadrants
- Trigonometric Ratios - Two Key Rules
- Angle of Elevation and Angle of Depression
- Sine Rule, Cosine Rule, Area of Triangle
- Exercise Problems
- CAT level Questions
- Solutions
- Two Dimensional Shapes
- Triangle Revisited
- Three-dimensional Shapes
- Exercise Problems
- CAT level Questions
- Solutions
- Content