Last updated 7/2022
MP4 | Video: h264, 1280×720 | Audio: AAC, 44.1 KHz
Language: English | Size: 5.75 GB | Duration: 6h 25m
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
Homepage
https://www.udemy.com/course/quantitative-aptitude-number-theory/
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