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Quantitative Aptitude for the CAT

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By Rajesh Balasubramanian (Author)
M.R.P 595/-
194
(67%)
535
(10%)
Product Description

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:

  • Articles on How to Prepare for the CAT
  • 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?
  • Previous Years' CAT Papers and Mock Test Papers (Quants)
  • 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

3. Profit and Loss

  • Some Important Terms
  • Marked Price and Discount
  • Exercise Problems
  • CAT level Questions
  • Solutions

4. Linear Equations

  • Unique Solution, Infinite Solutions and No Solution
  • Linear Equations - Norms for Solutions
  • Exercise Problems
  • CAT level Questions
  • Solutions
  • 5. Quadratic Equations
    • 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
    6. Ratio, Proportion, Variation Ratios
    • Comparison of Ratios
    • Proportions
    • Variations
    • Exercise Problems
    • CAT level Questions
    • Solutions
    7. Mixtures
    • Exercise Problems
    • CAT level Questions
    • Solutions
    8. Speed, Time and Distance
    • 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
    9. Races
    • Race along a Straight Track
    • Circular Race
    • Exercise Problems
    • CAT level Questions
    • Solutions
    10. Pipes and Cisterns
    • Rate of Flow
    • Exercise Problems
    • CAT level Questions
    • Solutions
    11. Progressions
    • 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
    12. Simple Interest and Compound Interest
    • 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
    13. Exponents and Logarithms
    • 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
    14. Binomial Theorem
    • Some Key Properties of Binomial Expansion
    • Properties of nCr for Simplification
    • Exercise Problems
    • CAT level Questions
    • Solutions
    15. Clocks
    • 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
    > 16. Calendars
    • Calendars
    • Exercise Problems
    • CAT level Questions
    • Solutions
    • Quantitative Aptitude for the CAT
    17. Inequalities
    • 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
    18. Functions
    • 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
    19. Set Theory
    • Types of Sets
    • Union and Intersection of Two Sets
    • Key Property with Cardinal Number
    • Properties with Three Sets
    • Exercise Problems
    • CAT level Questions
    • Solutions
    > 20. Number Theory
    • 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
    21. Polynomials
    • 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
    22. Combinatorics
    • 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
    23. Probability
    • 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
    24. Geometry
    • 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
    25. Coordinate Geometry
    • 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
    > 26. Trigonometry
    • 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
    27. Mensuration
    • Two Dimensional Shapes
    • Triangle Revisited
    • Three-dimensional Shapes
    • Exercise Problems
    • CAT level Questions
    Final Mock-CAT (Quants)
    • Solutions
    • Content

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