Module-01: Number Systems Masterclass -Divisibility | Classification | Quantitative Aptitude

Title: Number Systems & Divisibility Masterclass | Classification, Cyclicity & Remainder Theorems | Quantitative Aptitude Description: Master Number Systems and Divisibility Rules for competitive exams (UPSC CSAT, SSC CGL Tier 1/2, APPSC Group 1/2, RRB NTPC, Bank PO) produced by the Department of Physics, S.V.A. Govt. Degree College, Srikalahasti. This masterclass covers: Complete Classification of Real, Rational, Irrational, Integers & Prime numbers High-Speed Composite Divisibility Tests (4, 8, 9, 11, 72, 88, 99) Unit Digit Cyclicity Wheels & Universal Modulo 4 Reduction Legendre's Formula for Trailing Zeros in Factorials Advanced Remainder Theorems: Fermat's Little Theorem, Euler's Totient, Wilson's Theorem, and Negative Remainders 10 High-Yield Exam Drill MCQs with Step-by-Step Derivations and Shortcuts Timestamps: 00:00 - Introduction & Course Blueprint 01:15 - Number System Taxonomy & Cardinal Axioms 02:45 - Prime Factorization & Total Factors Formula 04:15 - Universal Divisibility Rules & Composite Tests (72, 88, 99) 06:00 - Digital Root & The Magic of 9 07:30 - Unit Digit Cyclicity Wheel & Modulo 4 Algorithm 09:15 - Trailing Zeros in Factorials (Legendre's Formula) 11:00 - Remainder Theorems & The Negative Remainder Speed Hack 12:30 - 5 Golden Rules for Number System Questions 13:45 - MCQ 01: Total, Even and Odd Factors of 720 15:15 - MCQ 02: 8-Digit Number Divisible by 72 (SSC CGL Tier 2) 16:45 - MCQ 03: Missing Digits with Divisibility by 88 18:15 - MCQ 04: Unit Digit of 3^65 * 6^59 * 7^71 19:30 - MCQ 05: Unit Digit of (7^95 - 3^58) Subtraction Trap 20:45 - MCQ 06: Number of Trailing Zeros in 125! 22:00 - MCQ 07: Fermat's Little Theorem (2^100 mod 101) 23:15 - MCQ 08: Negative Remainder (67^67 + 67) mod 68 24:30 - MCQ 09: Wilson's Theorem (28! mod 29) 25:45 - Comprehensive Revision Matrix & Exam Cheat Sheet 27:00 - Module 01 Summary & Next Episode Preview Keywords & Tags: `Number Systems Quantitative Aptitude`, `Divisibility Rules for Competitive Exams`, `Unit Digit Cyclicity`, `Fermat Little Theorem CSAT`, `Remainder Theorems SSC CGL`, `Trailing Zeros in Factorials`, `SVA Govt Degree College Srikalahasti`, `APPSC Quantitative Aptitude`, `Arithmetic for SSC CGL Tier 2`