Number System Masterclass

Number Theory Math Masterclass. Ace Quantitative Aptitude of CAT & MBA Exams. Solution of Past 20 Years CAT Papers.

What you'll learn
Gain In-depth Knowledge of Number Theory
Basics and Advanced Concepts of the number system for Quantitative Aptitude Exams
Mastering the concept of digits
Tricks and techniques for doing large numerical calculations in a snap
Numerical calculation based on percentages
Perfect squares
Pythagorean triplets
Cyclicity
Digital Sum
Remainder
Basic Remainder theorem
Chinese Remainder Theorem
Euler’s Theorem
Fermat’s Theorem
HCF and LCM
Divisibility rules
Factorials
Requirements
A laptop with internet connection to follow along lessons
Motivation to learn
Description
Number System is the most important topic in the Quantitative Aptitude section of any competitive examination. If you are appearing for any MBA entrance examination such as Common Admission Test (CAT), XAT, MAT, or any other entrance exam conducted by any IIM or prestigious management Institute, scoring well in the number system segment is a must for ensuring your success. The number system is also an important topic for competitive examinations such as CSAT (UPSC), Bank/PO, SSC, and various other state-level and central government examinations.Considering its importance, this course offers comprehensive coverage of the number system topic covering the following:· Basics of the number system· Mastering the concept of digits· Tricks and techniques for doing large numerical calculations in a snap· Numerical calculation based on percentages· Perfect squares· Pythagorean triplets· Cyclicity· Digital Sum· Remainder· Basic Remainder theorem· Chinese Remainder Theorem· Euler’s Theorem· Fermat’s Theorem· HCM· LCM· Divisibility rules· FactorialsMaster Number System Math Questions for Quantitative Aptitude Exams Like CAT, MAT, XAT, UPSC CSAT, GMAT, GRE, GATEThis course has been designed to help you gain mastery over the topic of the number system. The instructor offers you all the fundamental concepts along with their practical applications that will be required to build your confidence for the Number System questions in any exam you appear. This course offers complete coverage of the topic of Number System. The course content has been prepared based on thorough research of the previous year’s questions of CAT and scholarly sources.

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Basic of Number System

Lecture 2 Introduction to Number System

Lecture 3 Types of Number: Real Vs. Imaginary

Lecture 4 Types of Real Numbers: Rational Vs. Irrational Numbers

Lecture 5 How to Convert a Recurring Irrational Number into Fraction?

Lecture 6 How to Convert a Recurring Irrational Number into Fraction in 10 Seconds?

Section 3: Mastering the Game of Digits

Lecture 7 Concept of Unit Digit, Even and Odd Digits

Lecture 8 The Logic of the Last Two Digits

Lecture 9 The Logic of Perfect Squares: Part 1

Lecture 10 The Logic of Perfect Squares: Part 2

Lecture 11 Quick Solution of a Number System Question Using Vedic Math

Section 4: Percentages and Perfect Squares

Lecture 12 Solving a Percentages Question: Fundamentals

Lecture 13 Solving a Percentages Question Using Unit Digit Logic

Lecture 14 Solving a Percentages Question Using Digital Sum Logic

Lecture 15 The Perfect Square Logic: Fast Solution

Lecture 16 Practice Question on Perfect Squares Logic

Section 5: Pythagorean Triplet Logic

Lecture 17 Solving a Question Using the Logic of Pythagorean Triplet

Lecture 18 Understanding Pythagorean Triplet: Part 1

Lecture 19 Understanding Pythagorean Triplet: Part 2

Section 6: Practice Questions

Lecture 20 Practice Question with Solution: Part 1

Lecture 21 Practice Question with Solution: Part 2

Lecture 22 Practice Questions: Solution Using Remainder Trick

Lecture 23 Practice Question: Multiplying Two Numbers Ending With 5 - Part 1

Lecture 24 Practice Question: Multiplying Two Numbers Ending With 5 - Part 2

Lecture 25 Practice Question: Last Two Digit Logic With Five Power- Part 1

Lecture 26 Practice Question: Multiplying Two Numbers Ending With 5 - Part 2

Lecture 27 CAT 2008 Question with Solution

Section 7: Concept of Cyclicity

Lecture 28 Concept of Cyclicity: Part 1

Lecture 29 Concept of Cyclicity: Part 2

Lecture 30 Concept of Cyclicity: Part 3

Lecture 31 Cyclicity of Last Two Digits

Lecture 32 Cyclicity Last 2 Digits of 2 and 5 and Its Reciprocal: Part 1

Lecture 33 Cyclicity Last 2 Digits of 2 and 5 and Its Reciprocal: Part 2

Lecture 34 Cyclicity Last 2 Digits of 2 and 5 and Its Reciprocal: Part 3

Section 8: Understanding and Applying Digital Sum

Lecture 35 Concept of Digital Sum: Part 1

Lecture 36 Concept of Digital Sum: Part 2

Lecture 37 Concept of Digital Sum: Part 3

Lecture 38 Concept of Digital Sum: Part 4

Lecture 39 Practice Question 1 on Digital Sum

Lecture 40 Practice Question 2 on Digital Sum: Part 1 - Question Analysis

Lecture 41 Practice Question 2 on Digital Sum: Part 2 - Solution

Lecture 42 Digital Sum of Any Base System

Section 9: Remainder Theorems: Negative Remainder and Chinese Remainders

Lecture 43 Negative Remainder Theorem

Lecture 44 Practice Question on Negative Remainder: Addition and Multiplication

Lecture 45 Negative Remainder and Digital Sum; Combined Question

Lecture 46 Negative Remainder Exercise When Numerator has Addition and Subtraction

Lecture 47 Negative Remainder Exercise When Numerator has Multiplication

Lecture 48 Calculation Remainder When Numerator has Power

Lecture 49 Exercise: Calculating Remainder when Numerator has Power

Lecture 50 Practice Question on Negative Remainder: Part 1

Lecture 51 Practice Question on Negative Remainder: Part 2

Lecture 52 Chinese Remainder Theorem

Lecture 53 How to Calculate Remainder of Higher Powers: Exercise 1

Lecture 54 How to Calculate Remainder of Higher Powers: Exercise 2

Lecture 55 How to Calculate Remainder of Higher Powers: Exercise 3

Lecture 56 How to Calculate Remainder of Higher Powers: Exercise 4

Lecture 57 Solving a CAT Question on Remainder Theorem With Algebra Concepts: Part 1

Lecture 58 Solving a CAT Question on Remainder Theorem With Algebra Concepts: Part 2

Lecture 59 Proof: x^n+y^n is always divisible with x+y if n is odd

Lecture 60 Which Remainder Method to Choose?

Section 10: Other Remainder Theorems and Their Prerequisites

Lecture 61 Euler's Theorem

Lecture 62 Fermat's Theorem

Lecture 63 Chinese Remainder Theorem

Lecture 64 Wilson's Theorem

Lecture 65 What are Totient Functions?

Lecture 66 What are Co-Prime Numbers?

Lecture 67 Why and When To Use Euler and Fermat's Theorems?

Lecture 68 What is Prime Factorization?

Lecture 69 What are Totient Functions and Co-Primes? Part 1

Lecture 70 What are Totient Functions and Co-Primes? Part 2

Lecture 71 Understanding the Formula of Totient Function

Section 11: Euler's Theorem

Lecture 72 Basics of Euler's Theorem and Checkpoints

Lecture 73 Formula and Examples of Euler's Theorem

Lecture 74 Euler's Theorem: Type 1

Lecture 75 Euler's Theorem: Type 2

Lecture 76 Euler's Theorem: Type 3

Lecture 77 Euler's Theorem: Type 3 With Higher Power

Lecture 78 Euler's Theorem Type 4: Finding Last Two Digits

Lecture 79 Euler's Theorem Type 4: Finding Last Three Digits

Lecture 80 Euler's Theorem Type 5: Higher Powers as Dividend

Lecture 81 Euler's Theorem Type 5: Higher Powers as Dividend - Practice Question

Lecture 82 Euler's Theorem: Type 6

Lecture 83 Euler's Theorem: Type 7

Lecture 84 Euler's Theorem Type 6: Practice Question 1

Lecture 85 Euler's Theorem Type 6: Practice Question 2

Lecture 86 Euler's Theorem: Type 8(A)

Lecture 87 Euler's Theorem: Type 8(B)

Section 12: Fermat's Theorem

Lecture 88 Fermat's Theorem for Prime Divisor

Lecture 89 Totient Function of Prime Number

Lecture 90 Explaining Fermat's Theorem

Lecture 91 Fermat's Theorem: Types of Application

Lecture 92 Fermat's Theorem: Application Type 1

Lecture 93 Fermat's Theorem: Application Type 2

Lecture 94 Fermat's Theorem: Application Type 3

Lecture 95 Fermat's Theorem: Application Type 4

Lecture 96 Fermat's Theorem: Application Type 4 Choose Between Negative Remainder or

Lecture 97 Fermat's Theorem: Application Type 4 Negative Remainder Practice

Lecture 98 Fermat's Theorem: Application Type 5 Higher Power Fundamental

Lecture 99 Fermat's Theorem: Application Type 5 Higher Power Practice

Lecture 100 Fermat's Theorem: Application Type 5 CAT Replica

Lecture 101 Fermat's Theorem: Application Type 5 CAT Replica Questions

Lecture 102 Conclusion Applying Fermat's Theorem Part 1

Lecture 103 Conclusion Applying Fermat's Theorem Part 2

Anyone looking to knowledge of number theory,Learners looking to master Quantitative Aptitude Exams for CAT and Other Test preparation