Quantitative Aptitude for Competitive Examinations

Cover
Contents
Preface to the Fourth Edition
Preface to the First Edition
Acknowledgement
ComPetitive eXaminations: an overview
Chapter 1: Numbers
	Introduction
	Number System
		Natural Numbers
		Whole Numbers
		Irrational numbers
		real numbers
		even numbers
		odd numbers
		Prime numbers
		composite numbers
	Basic Formulae
		AddItIon and SubtractIon
		Multiplication
		Squares
		Division
	Short-Cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		ExercIse-1
		Exercise-2 (Based on Memory)
Chapter 2: H.C.F. and L.C.M. of Numbers
	Common Factor
	Highest Common Factor
	Methods of Finding H.C.F.
		Common Multiple
		Least Common Multiple
	Methods of Finding L.C.M.
	Short-Cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 3: Square Root and Cube Root
	Square
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Expalantory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 4: Simplification
	Simple Arithmetic Operations
	Bodmas
	Short-cut Methods
	Exercise–1
	Exercise 2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise–2 (Based on Memory)
Chapter 5: Percentage
	Introduction
	Basic Formulae
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 6: Percentage
	Introduction
	Basic Formulae
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 6: Average
	Introduction
	Basic Formulae
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 7: Ratio and Proportion
	Ratio
	Types of Ratios
	Proportion
	Basic Formulae
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 8: Partnership
	Introduction
	Basic Formulae
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 9: Profit and Loss
	Introduction
	Basic Formulae
	Some Useful Shortcut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 10: Time and Work, Work and Wages
	Introduction
	Basic Formulae
	Exercise 1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 11: Pipes and Cisterns
	Introduction
	Basic Formulae
	Some Useful Shortcut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 12: Time and Distance
	Introduction
	Basic Formulae
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 13: Boats and Streams
	Basic Formulae
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 14: Races and Games of Skill
	Introduction
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 15: Alligation or Mixture
	Introduction
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 16: Problems on Ages
	Introduction
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 17: Simple Interest
	Introduction
	Basic Formulae
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 18: Compound Interest
	Introduction
	Basic Formulae
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 19: Logarithms
	Introduction
	Laws of Logarithms
	Short-cut Methods
	Exercise-1
	Answer Keys
	Explanatory Answers
		Exercise-1
Chapter 20: Stocks, Shares and Debentures
	Introduction
	Type of Shares
	Face Value and Market Value of Share
	Stocks and Brokerage
	Computation of Investment or Market Value of a Stock
	Computation of Gain or Loss in the Sale and Purchase of a Stock
	Change in Income on sale or Reinvestment
	Debentures
	Difference between Share Sandebentures
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 21: Discount (True and Banker’s)
	Introduction
	Basic Formulae
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 22: Binary Number System
	Introduction
	Exercise-1
	Answer Keys
	Explanatory Answers
		Exercise-1
Chapter 23: Series
	Introduction
	Series
	Number series
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 24: Clocks and Calendar
	Clocks
	Some Basic Facts
	Short-cut Methods
	Some Basic Facts
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 25: Polynomials
	Polynomial
	Some Basic Theorems
	Some Useful Results and Formulae
	A Useful Thortcut Method
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 26: H.C.F. and L.C.M. of Polynomials
	Introduction
	Exercise-1
	Answer Keys
	Explanatory Answers
		Exercise-1
Chapter 27: Linear Equations
	Linear Equation in one Variable
	Linear Equation in Two Variables
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 28: Quadratic Equations
	Introduction
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
	Exercise-2 (Based on Memory)
Chapter 29: Progression
	Introduction
	Sequence
	Progressions
	Series
	Arithmetic Progression (A.P.)
	General Term of an A.P.
	Geometric Progression
	General Term of a G.P.
	Harmonic Progression
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 30: Set Theory
	Introduction
	Set
	Representation of Sets
	Finite and Infinite Sets
	Empty Set (or Null Set)
	Singleton
	Equal Sets
	Equivalent Sets
	Subset of a Set
	Power Set
	Comparable Sets
	Universal Set
	Venn Diagrams
	Complement of a Set
	Cartesian Product of Sets
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 31: Permutations and Combinations
	Introduction
	Factorial Notation
	Some Basic Results
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 32: Probability
	Introduction
	Probability of an Event
	Independent Events
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 33: Mensuration I: Area and Perimeter
	Introduction
	Some Basic Facts
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 34: Mensuration II: Volume and Surface Area
	Introduction
	Basic Formulae
	Solids Inscribed/Circumscribing other Solids
	Short-cut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 35: Trigonometric Ratios
	Introduction
	Exercise-1
	Exercise-2 (Based on Memory)
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 36: Heights and Distance
	Introduction
	ExercIse-1
	ExercIse-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		ExercIse-1
		Exercise-2 (Based on Memory)
Chapter 37: Plane Geometry
	Section 1: Lines and Angles
	Section 2: Triangles
	Key Results to Remember
	Section 3: Quadrilaterals and Parallelograms
		Key Results to Remember
	Section 4: Polygons
		Key Results to Remember
	Section 5: Circles and Tangents
		Key Results to Remember
		Theorems on Tangents
		Some Useful Results
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 38: Co-ordinate Geometry
	Introduction
	Basic Formulae
	Shortcut Method for Finding the Area
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory)
Chapter 39: Data Interpretation
	Introduction
	Share Value in Rupees
	Exercise-1
	Exercise-2 (Based on Memory)
	Recent Years’ Questions
	Answer Keys
	Explanatory Answers
		Exercise-1
		Exercise-2 (Based on Memory )
		Recent Years’ Questions
Chapter 40: Data Sufficiency
	Introduction
	Exercise-1
	Answer Keys
	Explanatory Answers
		Exercise-1