The Pearson Guide to Quantitative Aptitude for Competitive Examinations

Cover
Copyright
Contents
Preface to the Third Edition
Preface to the First Edition
Acknowledgement
Chapter 1 Numbers
	Introduction
	Number System
		Natural Numbers
		Whole Numbers
		Integers
		Rational Numbers
		Irrational Numbers
		Real Numbers
		Even Numbers
		Odd Numbers
		Prime Numbers
		Composite Numbers
	Addition and Subtraction (Short-cut Methods)
	Multiplication (Short-cut methodS)
		distributive Laws
	Squares (Short-cut methods)
	DIVISION
	TESTS OF DIVISIBILITY
	Some useful Short-cut methods
	Exercise-1
	Exercise-2(Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	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.
	some Useful shortcut Methods
	Exercise-1
	Exercise-2(Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2(Based on Memory)
Chapter 3 Square Root and Cube Root 3
	SQUARE
		Square Root
		Methods of Finding a Square Root
		Square Root of a Decimal
		Square Root of a Fraction
		Cube
		Cube Root
		Methods to Find Cube Root
	Exercise-1
	Exercise-2(Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2(Based on Memory)
Chapter 4 simplifi cation
	Simple Arithmetic operations
		Use of Algebraic Formulae
		surds and Indices
	some useful short-cut Methods
		Fractions
	Exercise–1
	Exercise 2(Based on Memory)
	Answer Keys Exercise–1
	Exercise–2
	Explanatory Answers Exercise-1
	Exercise–2(Based on Memory)
Chapter 5 percentage
	Introduction
	some basic Formulae
	some useful shortcut methods
	Exercise-1
	Exercise-2(Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2(Based on Memory)
Chapter 6 Average
	Introductuon
	some basic Formulae
	some useful shortcut methods
	Exercise-1
	Exercise-2(Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2(Based on Memory)
Chapter 7 Ratio and Proportion
	Ratio
	Types of Ratios
	Proportion
	some basic formulae
	some Useful shortcut Methods
	Exercise-1
	Exercise-2(Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 8 partnership
	Introduction
	some basic Formulae
	some useful shortcut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 9 profit and loss
	INTRODUCTION
	some basic Formulae
	some useful shortcut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 10 time and work, work and wages
	Introduction
	some basic Formulae
	EXERCISE 1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 11 pipes and Cisterns
	Introduction
	some basic Formulae
	some Useful shortcut Methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 12 time and Distance
	Introduction
	some basic Formulae
	some Useful short cut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 13 Boats and streams
	some Important terms
	some basic Formulae
	some useful shortcut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 14 races and Games of skill
	Introduction
	some useful shortcut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 15 Alligation or Mixture
	Introduction
		Alligation rule
	some useful shortcut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 16 Problems on Ages
	INTRODUCTION
	some useful shortcut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 17 simple Interest
	Introduction
	Simple Interest
	some basic Formulae
	some useful short cut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 18 Compound Interest
	Introduction
	some basic formulae
	some useful short cut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 19 logarithms
	Introduction
		logarithm
	laws of logarithms
	some useful shortcut methods
		Common logarithms
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 20 Stocks, Shares and Debentures
	Introduction
	TYPES OF SHARES
	FACE VALUE AND MARKET VALUE OF A SHARE
	Stocks and Brokerage
		Stock
		Brokerage
	CALCULATION OF INCOME ON A STOCK
	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 SHARES ANDDEBENTURES
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 21 Discount (true and Banker’s)
	Introduction
		present Value
		true Discount (t.D.)
		Banker’s Discount
	some basic formulae
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 22 Binary number system
	Introduction
		Decimal number system
		Binary number system
		Base or radix
		weights
		Binary Addition
		Binary subtraction
		Binary Multiplication
	Exercise-1
	Answer Keys Exercise-1
	Explanatory Answers Exercise-1
Chapter 23 Series
	Introduction
	Series
	Number series
		Finding the wrong term in a series
		Finding the missing term of the series
	Some special series
		Alpha–Numeric Series
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 24 Clocks and Calendar
	Clocks
	some basic facts
	some useful shortcut methods
	Calendar
		odd Days
		ordinary year
		Leap Year
	some basic facts
	some useful shortcut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 25 Polynomials
	polynomial
		Monomial
		Binomial
		Trinomial
		Degree of a Polynomial
		Division of a Polynomial by a Polynomial
	some basic Theorems
	some useful results and formulae
	a useful shortcut method
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 26 H.C.F. and l.C.M. of polynomials
	Introduction
		Divisor
		Common Divisor
		G.C.D. (H.C.F) of two polynomials
		L.C.M. of two polynomials
	Exercise-1
	Answer Keys Exercise-1
	Explanatory Answers Exercise-1
Chapter 27 linear equations
	linear equation in one variable
	linear equation in two variable
		Consistent and Inconsistent equations
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 28 Quadratic Equations
	Introduction
		Roots of a Quadratic Equation
		solution of a Quadratic Equation
		nature of Roots
		Relation Between Roots and Coefficients
		Formation of a Quadratic Equation with Given Roots
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 29 Progression
	Introduction
	Sequence
		Notation
	Progressions
	Series
	Arithmetic Progression (A.P.)
	geometric Progression
	Harmonic Progression
		Some Special Sequences
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 30 Set Theory
	introduction
	SET
		Notations
	REPRESENTATION OF SETS
		Tabular Form or Roster Form
		Set Builder Form or Rule Method
	FINITE AND INFINITE SETS
		Finite Set
		Infinite Set
	EMPTY SET (OR NULL SET)
	Singleton
	Equal Sets
	Equivalent Sets
	Subset of a set
		Proper Subsets of a Set
	Power Set
	Compa rable Sets
	Universal Set
	Venn Diagrams
		Examples of Certain Relationships Between Sets by Venn Diagrams
	Complement of a Set
		Illustration of A′ by Venn Diagram
		Operations on Sets
		Illustration of A ∪ B by Venn Diagram
		Disjoint Sets
		Illustration of A − B by Venn Diagrams
		Applications of Sets
	Ordered Pair
	Cartesian product of sets
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 31 Permutations and Combinations
	Introduction
	Factorial Notation
		Fundamental Principle of Counting
		Addition Principle
		Permutation
		Notation
		combination
Chapter 32 Probability
	Introduction
		Algebra of Events
		Mutually Exclusive and Exhaustive Events
	Probability of an Event
		Odds of an Event
	Fundamental Theorems on Probability
	INDEPENDENT EVENTS
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 33 Mensuration I: area and perimeter
	Introduction
		perimeter
	some basic facts
		sector
		semi-Circle
		segment
		polygon
		regular polygon
		Cyclic Quadrilateral
	some useful shortcut methods
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise–1
	Exercise–2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 34 Mensuration II: Volume and surface Area
	Introduction
		solids
		Cubic
	some basic formulae
		Cube
		Right Circular Cylinder
		Right Circular Cone
		Frustum of a right Circular Cone
		sphere
		prism
	Solids Inscribed/Circumscribing other solids
	Some Useful Short-Cut Methods
	exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 35 Trigonometric Ratios
	introduction
		Important Formulae and Results of Trigonometry
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 36 Heights and Distance
	Introduction
	EXERCISE-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 37 Plane Geometry
	Section 1 Lines and Angles
		Types of Angles
		Key Results to Remember
	Section 2 Triangles
		Types of Triangles (On the basis of sides)
		Types of Triangles (On the basis of angles)
		Some Important Terms Related to a Triangle
		congruent triangles
		similar Triangles
		Key Results To Remember
			similarity Theorems
	Section 3 Quadrilaterals and Parallelograms
		Various types of Quadrilaterals
		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 Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 38 Co-ordinate Geometry
	Introduction
	Some Basic Formulae
		Condition of Collinearity of Three Points
	Shortcut Method for Finding the Area
		Slope or Gradient of a Line
		Slope of a Line Joining Two Given Points
		Parallel and Perpendicular Lines
		Locus
	Shortcut Method to Find the Locus
	Exercise-1
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanat ory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 39 Data Interpretation
	INTRODUCTION
		Types of Data Representation
		In the line graph:
	SHARE VALUE IN RUPEES
		Some Useful Instructions
	Exercise-1
		INCOME OF A COMPANY (IN ` LAKHS)
		PERCENTAGE PROFIT OVER THE YEARS
	Exercise-2 (Based on Memory)
	Answer Keys Exercise-1
	Exercise-2
	Explanatory Answers Exercise-1
	Exercise-2 (Based on Memory)
Chapter 40 Data Sufficiency
	INTRODUCTION
	Exercise-1
	Answer Keys Exercise-1
	Explanatory Answers Exercise-1