Number System Masterclass

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

3.67 (3 reviews)
Udemy
platform
English
language
Test Prep
category
30
students
13 hours
content
Mar 2023
last update
$19.99
regular price

What you will 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

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

· Factorials

Master Number System Math Questions for Quantitative Aptitude Exams Like CAT, MAT, XAT, UPSC CSAT, GMAT, GRE, GATE

This 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.

Content

Introduction

Introduction

Basic of Number System

Introduction to Number System
Types of Number: Real Vs. Imaginary
Types of Real Numbers: Rational Vs. Irrational Numbers
How to Convert a Recurring Irrational Number into Fraction?
How to Convert a Recurring Irrational Number into Fraction in 10 Seconds?

Mastering the Game of Digits

Concept of Unit Digit, Even and Odd Digits
The Logic of the Last Two Digits
The Logic of Perfect Squares: Part 1
The Logic of Perfect Squares: Part 2
Quick Solution of a Number System Question Using Vedic Math

Percentages and Perfect Squares

Solving a Percentages Question: Fundamentals
Solving a Percentages Question Using Unit Digit Logic
Solving a Percentages Question Using Digital Sum Logic
The Perfect Square Logic: Fast Solution
Practice Question on Perfect Squares Logic

Pythagorean Triplet Logic

Solving a Question Using the Logic of Pythagorean Triplet
Understanding Pythagorean Triplet: Part 1
Understanding Pythagorean Triplet: Part 2

Practice Questions

Practice Question with Solution: Part 1
Practice Question with Solution: Part 2
Practice Questions: Solution Using Remainder Trick
Practice Question: Multiplying Two Numbers Ending With 5 - Part 1
Practice Question: Multiplying Two Numbers Ending With 5 - Part 2
Practice Question: Last Two Digit Logic With Five Power- Part 1
Practice Question: Multiplying Two Numbers Ending With 5 - Part 2
CAT 2008 Question with Solution

Concept of Cyclicity

Concept of Cyclicity: Part 1
Concept of Cyclicity: Part 2
Concept of Cyclicity: Part 3
Cyclicity of Last Two Digits
Cyclicity Last 2 Digits of 2 and 5 and Its Reciprocal: Part 1
Cyclicity Last 2 Digits of 2 and 5 and Its Reciprocal: Part 2
Cyclicity Last 2 Digits of 2 and 5 and Its Reciprocal: Part 3

Understanding and Applying Digital Sum

Concept of Digital Sum: Part 1
Concept of Digital Sum: Part 2
Concept of Digital Sum: Part 3
Concept of Digital Sum: Part 4
Practice Question 1 on Digital Sum
Practice Question 2 on Digital Sum: Part 1 - Question Analysis
Practice Question 2 on Digital Sum: Part 2 - Solution
Digital Sum of Any Base System

Remainder Theorems: Negative Remainder and Chinese Remainders

Negative Remainder Theorem
Practice Question on Negative Remainder: Addition and Multiplication
Negative Remainder and Digital Sum; Combined Question
Negative Remainder Exercise When Numerator has Addition and Subtraction
Negative Remainder Exercise When Numerator has Multiplication
Calculation Remainder When Numerator has Power
Exercise: Calculating Remainder when Numerator has Power
Practice Question on Negative Remainder: Part 1
Practice Question on Negative Remainder: Part 2
Chinese Remainder Theorem
How to Calculate Remainder of Higher Powers: Exercise 1
How to Calculate Remainder of Higher Powers: Exercise 2
How to Calculate Remainder of Higher Powers: Exercise 3
How to Calculate Remainder of Higher Powers: Exercise 4
Solving a CAT Question on Remainder Theorem With Algebra Concepts: Part 1
Solving a CAT Question on Remainder Theorem With Algebra Concepts: Part 2
Proof: x^n+y^n is always divisible with x+y if n is odd
Which Remainder Method to Choose?

Other Remainder Theorems and Their Prerequisites

Euler's Theorem
Fermat's Theorem
Chinese Remainder Theorem
Wilson's Theorem
What are Totient Functions?
What are Co-Prime Numbers?
Why and When To Use Euler and Fermat's Theorems?
What is Prime Factorization?
What are Totient Functions and Co-Primes? Part 1
What are Totient Functions and Co-Primes? Part 2
Understanding the Formula of Totient Function

Euler's Theorem

Basics of Euler's Theorem and Checkpoints
Formula and Examples of Euler's Theorem
Euler's Theorem: Type 1
Euler's Theorem: Type 2
Euler's Theorem: Type 3
Euler's Theorem: Type 3 With Higher Power
Euler's Theorem Type 4: Finding Last Two Digits
Euler's Theorem Type 4: Finding Last Three Digits
Euler's Theorem Type 5: Higher Powers as Dividend
Euler's Theorem Type 5: Higher Powers as Dividend - Practice Question
Euler's Theorem: Type 6
Euler's Theorem: Type 7
Euler's Theorem Type 6: Practice Question 1
Euler's Theorem Type 6: Practice Question 2
Euler's Theorem: Type 8(A)
Euler's Theorem: Type 8(B)

Screenshots

Number System Masterclass - Screenshot_01Number System Masterclass - Screenshot_02Number System Masterclass - Screenshot_03Number System Masterclass - Screenshot_04

Reviews

동희
October 16, 2023
For now, I'm happy with the course content. But despite that, I gave it the lowest possible rating. The main reason is that this instructor doesn't take questions, which is quite a hardship for a student studying alone, especially one who is learning number theory for the first time. Also, the instructor is not very good at number theory. Unlike in the course description, there are no detailed explanations or proofs for things like Euler's formula. And the instructor sometimes solves problems inefficiently and in the wrong way. Finally, the pronunciation is hard to understand. Nevertheless, the course itself is not bad and I recommend giving it a listen. But you'll have to put up with the shortcomings I've outlined above.

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4641718
udemy ID
4/14/2022
course created date
4/23/2022
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