Check whether a number is Plus Perfect Number or not?
Duration: 3 min
This video lesson is available to enrolled students.
Inside: a video lesson and guided study material.
Module outline
- Communication Round: Vocabulary, Subject Verb Agreement (Verb Noun Agreement), Tenses, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Direct and Indirect Speech, Active Passive Voice (Voice), Verbal Analogy (Word Based Analogy), Articles, Preposition, Conjunction, Sentence Construction, English Writing Ability, Communication Assessment
- Quantitative Aptitude: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Speed Time and Distance, Percentage, Average, Powers and Exponents (Surds and Indices), Time and Work, Mensuration and Geometry, Age Problems, Pipe and Cistern, Probability, Profit and Loss, Simple Interest and Compound Interest, Algebra
- Analytical and Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Directions (Direction Test), Ranking, Order and Sequence, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Logical Sequence Of Words, Puzzle Solving (Puzzles), Syllogisms, Seating Arrangements, Calendar, Clock, Blood Relations, Cubes & Dices, Venn Diagram, Analytical Reasoning (Counting Figures Reasoning)
- Cognizant Gaming Aptitude: Gamified / Game Based Aptitude
- Java (Cluster 1): Java
- ANSI SQL MySQL (Cluster 1,2,3): SQL
- HTML, CSS, JavaScript (Cluster 1,3): HTML, CSS, JavaScript
- Python (Cluster 2): Python for Placements by Yash Sir
- Cloud Fundamentals (Cluster 2): Emerging Tech Trends
- C# (Cluster 3): C#
- OOPs: Object Oriented Programming (OOPS)
- Technical Assessment (Coding): Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Pseudo Codes
- Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
- DBMS: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
- Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
- Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
AI summary & chapters
AI Summary
An AI-generated summary of this video lecture.
The video is an educational lecture on programming concepts, specifically focusing on identifying Armstrong numbers. It begins with an introduction to the Knowledge Gate brand and its social media channels. The main content starts with a logic puzzle to find a missing number in a grid, followed by a problem statement for a program to check if a number is a 'Plus Perfect Number'. The instructor then transitions to the core topic: Armstrong numbers. The definition is presented, stating that an Armstrong number of order n is a positive integer where the sum of its digits each raised to the power of the number of digits equals the number itself. The instructor provides a formula and demonstrates the concept with examples, including 153, 120, 1253, and 1634, showing the step-by-step calculation of the sum of the digits raised to the power of the number of digits. The video concludes by confirming that 153 and 1634 are Armstrong numbers, while 120 and 1253 are not, based on the calculations.
Chapters
0:00 – 2:00 00:00-02:00
The video opens with the 'KNOX MEEHEGATF' logo, which is a stylized version of 'KNOWLEDGE GATE'. It then transitions to a slide showing the 'KNOWLEDGE GATE' brand and its associated social media handles for various educational topics like GATE, Placement Prep, and Coding. The main lecture begins with a logic puzzle on a blackboard, asking to 'Insert the missing number' in a grid where the sum of the numbers in each row equals the number on the right. The instructor, Yash Jain Sir, is visible in a small window. The topic then shifts to a programming problem, Q17, which asks to write a program to check if a number is a 'Plus Perfect Number'. The input format is an integer N, and the output is 'True' if it is a plus perfect number, 'False' otherwise. Two examples are given: Input 153 outputs True, and Input 369 outputs No. The instructor explains the problem statement, which is a variation of the Armstrong number concept.
2:00 – 2:46 02:00-02:46
The lecture continues with the definition of an Armstrong number. The on-screen text states: 'Given a number x, determine whether the given number is Armstrong number or not. A positive number of n digits is called an Armstrong number of order n (order is number of digits) if: abcd... = pow(a,n) + pow(b,n) + pow(c,n) + pow(d,n) + ...'. The instructor explains this formula, emphasizing that the sum of each digit raised to the power of the total number of digits must equal the original number. He then provides examples. For 153, he calculates 1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153, confirming it is an Armstrong number. For 120, he calculates 1^3 + 2^3 + 0^3 = 1 + 8 + 0 = 9, which is not 120, so it is not an Armstrong number. He repeats this for 1253 (1^4 + 2^4 + 5^4 + 3^4 = 1 + 16 + 625 + 81 = 723) and 1634 (1^4 + 6^4 + 3^4 + 4^4 = 1 + 1296 + 81 + 256 = 1634), confirming 1634 is an Armstrong number. The instructor uses a yellow marker to circle the numbers and calculations on the blackboard to highlight the process.
The video provides a structured lesson on identifying Armstrong numbers, a classic programming problem. It begins by establishing the context of the educational channel and then presents a problem statement for a 'Plus Perfect Number', which is a direct synonym for an Armstrong number. The core of the lesson is the definition and application of the formula: the sum of each digit of a number raised to the power of the total number of digits. The instructor methodically demonstrates this logic with four distinct examples, showing the step-by-step calculation for each. This approach reinforces the concept by contrasting numbers that satisfy the condition (153, 1634) with those that do not (120, 1253), making the learning process clear and practical for students preparing for coding interviews or competitive exams.