Master Number System for CAT and GMAT

Cover
Copyright
Dedicated to
Contents
Preface
Examination Pattern and Trends
Chanpter 1 ALL ABOUT NUMBERS
	Real Number
		Types of Real number
			Rational Number
			Methods to convert decimals into fractions
			Integers
			Whole Numbers
			Natural Numbers
			Real Number Line
	Summary of the whole Discussion
		Prime Numbers
		Composite Numbers
			Methods of Counting
			Number Counting
			Some General Properties
	Simplification
	Practice Exercise 1
	Practice Exercise 2
	Practice Exercise 3
	Previous Years’ CAT Questions
	Answer Keys
	Solutions and Explanations
Chapter 2 LCM AND HCF
	LCM
		Meaning of LCM
		Process to Find out LCM
	HCF
		Properties of HCF
			Summarizing LCM and HCF
			Application of LCM/HCF
			Standard Formula
			Maxima and Minima in Case of LCM/HCF
	Practice Exercise 1
	Practice Exercise 2
	Previous Years’ CAT Questions
	DS Questions from this Concept for GMAT®
	Answer Keys
	Solutions and Explanations
Chapetr 3 REMAINDER
	What is Remainder?
		Properties of Remainder
			Remainders are Additive
			Remainders are Multiplicative
	Fermat ’s Remainder Theorem
	Wilson’s Remainder Theorem
	Relationship between Remainder and Factorsin Case of a Polynomial
		Factor Theorem
		Some Special Cases
			Using Binomial Theorem
			Chinese Remainder Theorem
			Finding Unit Digit or Tens Digit
			Euler’s Theorem of Remainder
			When a Digit Repeats Itself n Times
		Concept of Successive Division
	Practice Exercise 1
	Practice Exercise 2
	Previous Years’ CAT Questions
	DS Questions from this Concept for GMAT®
	Answer Keys
	Solutions and Explanations
Chapter 4 BASE SYSTEM
	Base System
		Inter-conversion of Numbers from One Base to Other Base
	Decimal calculations with base system
	Converting decimal system numbers to any other system
	Converting any other system numbers to decimal system
		Algebraic Calculations on Different Base System
		Some Standard Facts
	Practice Exercise 1
	Previous Years’ CAT Questions
	Answer Keys
	Solutions and Explanations
Chapter 5 EXPONENTS
	Exponents
		Rules of Exponents
	Surds
		Rules of Surds
		Rationalizing the Denominator
		Finding the Exponent of a Number in other Number
			Linear Format Question
			Factorial Format Questions
			Process to Find out the Exponent of any Composite Number in N!
			Finding Number of Zeroes on Base other than 10
	Practice Exercise 1
	Previous Years’ CAT Questions
	Answer Keys
	Solutions and Explanations
Chapter 6 FACTORS
	Factors and Multiples
		Finding Total Number of Factors of a Number
		Finding the Even/Odd Number Factors of a Natural Number
		Finding Prime Factors and Composite Factors
		Finding Factors which are Perfect Squares or Cubes or Higher Power
		Finding Factors Which are Co-prime to Each Other
		Finding the Sum of Factors of a Natural Number N
	Practice Exercise 1
	DS Questions from this Concept for GMAT®
	Answer Keys
	Solutions and Explanations
Chapter 7 DIVISIBILITY
	Divisibility Rules
		Process to Define the Divisibility Rule of any Prime Number
		How to Use Seed Number to Test Divisibility?
		Divisibility Rule of the Numbers on Base Other Than 10
	Practice Exercise 1
	Previous Years’ CAT Questions
	Answer Keys
	Solutions and Explanations
Chapter 8 CYCLICITY
	Calculating the unit digit
	Calculating the tens place digit
		For Odd Numbers
		For Even Numbers
	Summary
	Hundreds place digit
		Using Remainder Method
	Practice Exercise 1
	Previous Years’ CAT Questions
	DS Questions from this Concept for GMAT®
	Answer Keys
	Solutions and Explanations
Chapter 9 DATA SUFFICIENCY
	Structure of A Data Sufficiency Question
	Approaching a Data Sufficiency Question
		How to Identify if Data is Sufficient for Solving a Data Sufficiencyquestion—Dos and Don’ts
		Sufficiency Drill 1
		Sufficiency Drill 2
		Sufficiency Drill 3
		Don’ts of Data Sufficiency: Most Frequently Committed Mistakes in DataSufficiency
			General Awareness/Assumptions are not allowed
	Practice Exercise 1
	Answer Keys
	Solutions and Explanations
Chapter 10 QUESTIONS FROM THEPREVIOUS YEARS’ PAPERS
	Previous Years’ SNAP Questions
	Previous Years’ XAT Questions
	Previous Years’ IIFT Questions
	Answer Keys
	Solutions and Explanations
Chapter 11 SECTION TESTS
	Score Tracker
	Section Test 1
	Section Test 2
	Section Test 3
	Section Test 4
	Section Test 5
	Answer Keys
	Solutions and Explanations