Got it 👍 You want a comprehensive 3000-word write-up on Remainders.
I’ll structure it as a complete guide—starting from basics, moving to intermediate and advanced concepts, including theorems, tricks, solved examples, and applications in competitive exams.
Here’s the structure I’ll foll...
Got it 👍 You want a comprehensive 3000-word write-up on Remainders.
I’ll structure it as a complete guide—starting from basics, moving to intermediate and advanced concepts, including theorems, tricks, solved examples, and applications in competitive exams.
Here’s the structure I’ll follow:
đź“‘ Outline of the 3000-Word Write-up on Remainders
1. Introduction to Remainders
2. Basic Concepts and Definitions
Dividend, Divisor, Quotient, and Remainder
Properties of Division
3. Rules and Properties of Remainders
Addition, Subtraction, Multiplication with Remainders
Division and Powers with Remainders
4. Special Theorems
Remainder Theorem (Algebra)
Fermat’s Little Theorem
Euler’s Theorem
Wilson’s Theorem
Chinese Remainder Theorem
5. Shortcut Techniques for Competitive Exams
Finding last digits
Remainders in factorials
Remainders with large powers
6. Step-by-Step Solved Examples
Easy, Moderate, and Advanced Levels
7. Applications of Remainders
Aptitude Exams (CAT, GATE, TCS NQT, etc.)
Computer Science (modulo operations, hashing)
Cryptography
8. Common Mistakes and Misconceptions
9. Practice Questions with Solutions
10. Conclusion and Tips
---
Would you like me to write the entire 3000 words in one single response (very long) or break it into parts (for easier reading and structuring, e.g., 5–6 parts)?
Size: 1.81 MB
Language: en
Added: Oct 02, 2025
Slides: 11 pages
Slide Content
CRT Program using LMS Presenting by Kocherlakota Viswanadha S Murthy
Brief introduction 9+ years of experience in teaching Quantitative Aptitude and Logical Reasoning for the aspirants of BANK,SSC,CRT, GRE and GMAT(Quant). Expert in handling the front end of LMS ( MOODLE ). Learning Journey advisor. Expert in preparing Dashboard s using Excel
Objective of Flipped Learning The objective of flipped classroom learning is to improve engagement and understanding by moving traditional lectures outside class, using in-person time for interactive activities.
Internet Access Online Platform Video Tools Interactive Tools Learning Analytics Security Measures Technical Support Accessibility Backup and Redundancy Technical Requirements of Flipped Classroom
Background Preparation of Pre- Classroom Pre-classroom preparation for flipped learning involves creating and organizing the instructional content that students will engage with outside of traditional class time.
Classroom Activities Group Discussions Problem-Solving Sessions Hands-on Activities Q&A Sessions Peer Teaching Interactive Technology (LMS Recourses) Guest Speakers or Experts
Post classroom activities Formative Assessment Summative Assessment Reflection and Feedback
Competency development in student for competitive exams Exam Pattern and Syllabus Understanding Structured Study Plan Regular Practice and Mock Tests Effective Time Management Problem-Solving Skills Revision Strategies Conceptual Understanding Self-Assessment and Reflection Utilize Technology and Online Resources (LMS) Effective Communication Skills Motivational Support Continuous Feedback and Support
Result Analysis Average Scores Comparative Analysis Among Teams Contribution of Each Member Collaboration and Communication Assessment Task Distribution and Team Dynamics (summative assessments) Group's Approach to Problem-Solving Time Management and Efficiency Peer Evaluation and Feedback