Practice Questions

Duration: 11 min

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Inside: a video lesson and guided study material.

Module outline

  1. About the course: About the Course
  2. Mathematical Aptitude: संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Divisibility Rules, प्रतिशत / Percentage, अनुपात और समानुपात / Ratio and Proportion, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, समय और कार्य / Time and Work, घन क्षेत्रमिति / Solid Mensuration, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय, चाल और दूरी / Time, Speed and Distance, Age Problems, मिश्रण और एलिगेशन / Mixture and Alligation, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Pipe and Cistern, Trigonometry, Statistics, आँकड़ा निर्वचन / Data Interpretation, Arithmetic, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers
  3. Logical Reasoning: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, सादृश्यता एवं वर्गीकरण / Analogy and Classification, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, क्रम एवं रैंकिंग / Order and Ranking, अशाब्दिक तर्क / Non-Verbal Reasoning, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, Syllogisms, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Analytical Reasoning (Counting Figures Reasoning), घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, कैलेंडर एवं घड़ी / Calendar and Clock, Clock
  4. General Knowledge: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Chemistry, Biology, History, Geography, Polity, Indian Economy, समसामयिकी / Current Affairs, Static General Knowledge
  5. Art of Teaching: शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन / Teaching-Learning Process and Classroom Management, Learners & Learning Process, Factors Affecting Teaching, शिक्षण विधियाँ एवं उपागम / Teaching Methods and Approaches, सूक्ष्म शिक्षण एवं कक्षा संप्रेषण / Microteaching and Classroom Communication, शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी / Teaching Aids and Educational Technology, आकलन एवं मूल्यांकन / Assessment and Evaluation, शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास / Teacher: Qualities, Professional Ethics and Development, शैक्षिक नीतियाँ, अधिनियम एवं प्रशासन / Educational Policies, Acts and Administration, पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र / Curriculum, Arts and Co-curricular Areas, निर्देशन एवं परामर्श / Guidance and Counselling, दिव्यांग बच्चों की शिक्षा / Education of Children with Disabilities, Micro-Teaching & Teaching Skills, पाठ योजना / Lesson Planning
  6. Environmental Science: Environment
  7. Unit 1 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  8. Unit 2 | COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Programming the Basic Computer
  9. Unit 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  10. Unit 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. Unit 4 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  12. Unit 5 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  13. Unit 6 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control
  14. Unit 7 | 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
  15. Unit 8 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  16. Unit 9 | Object Oriented Programming: OOPS with C++
  17. Unit 10 | Web Development: HTML Basics, CSS, JavaScript-Basics, XML, Node.js
  18. Unit 11 | Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines
  19. Unit 12 | IoT: Emerging Tech Trends, Cloud Computing, कंप्यूटर नेटवर्क / Computer Networks
  20. Unit 13 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Unit 14 | E-Commerce: Electronic Data Interchange and E-Commerce, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Physical Security and Cryptography Basics, Cyber Safety and Security
  22. Unit 15 | Multimedia: Multimedia
  23. Unit 16 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  24. Full Length Mock Tests — General Paper:
  25. Full Length Mock Tests — Computer Science (Paper II):
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video presents a series of time and work problems, a common topic in quantitative aptitude. The instructor, Yash Jain Sir, systematically solves three distinct problems. The first problem involves three machines (P, Q, R) with different printing speeds, where machine P stops after 2 hours, and the remaining work is completed by machines Q and R. The solution uses the formula: (Time worked by P / P's alone time) + (Time worked by Q / Q's alone time) + (Time worked by R / R's alone time) = 1. The second problem features a work scenario where one man starts a job, and one more man joins him every day, with the total work being equivalent to 60 men working for 25 days. The solution involves summing the work done each day (1+2+3+...+n) and equating it to the total work. The third problem is an 'alternate days' problem where Anushka and Virat work on alternate days, with Anushka starting first. The solution calculates the work done in a two-day cycle and then determines the total number of days required. The video uses a digital whiteboard to write out the problems, formulas, and step-by-step calculations, with the instructor providing verbal explanations throughout.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card for a 'TIME & WORK' lesson. The first problem (Q1) is presented on a green digital board. It states that machine P can print one lakh books in 8 hours, machine Q in 10 hours, and machine R in 12 hours. All machines start at 9 AM, but machine P stops at 11 AM. The question asks at what time the work will be completed. The instructor, Yash Jain Sir, is visible in a small window, and the Microsoft logo is in the top right corner. The problem is clearly laid out with the options (A) 11:30 AM, (B) 12 noon, (C) 12:30 PM, (D) 1:00 PM.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins solving Q1. He writes the formula for work: (Time worked by P / P's alone time) + (Time worked by Q / Q's alone time) + (Time worked by R / R's alone time) = 1. He identifies that machine P works for 2 hours (from 9 AM to 11 AM). He then sets up the equation: (2/8) + (x/10) + (x/12) = 1, where x is the time (in hours) that machines Q and R work together after P stops. He proceeds to solve this equation by finding a common denominator (120) and simplifying to 30 + 12x + 10x = 120, which becomes 22x = 90. He calculates x = 90/22, which is approximately 4.09 hours. The instructor then states that the work will be completed at 12:30 PM, which is 2 hours after 10:30 AM, but the calculation shows 4.09 hours after 11 AM, which would be 3:05 PM. The instructor's final answer is 12:30 PM, which is inconsistent with his calculation. The video shows the instructor writing the equation and the steps to solve it.

  3. 5:00 – 10:00 05:00-10:00

    The video transitions to the second problem (Q2). The problem states that 60 men can complete a work in 25 days. One man starts the work, and one more man joins him every day. The question asks how many days the work will be completed. The instructor writes the formula for total work: MEN * TIME. He calculates the total work as 60 * 25 = 1500 man-days. He then sets up the equation for the work done: 1*1 + 2*1 + 3*1 + ... + n*1 = 1500, which simplifies to the sum of the first n natural numbers: n(n+1)/2 = 1500. He multiplies both sides by 2 to get n(n+1) = 3000. He then solves the quadratic equation n^2 + n - 3000 = 0. The instructor states that the answer is 54 days, which corresponds to option (D). The video shows the step-by-step derivation of the equation and the final answer.

  4. 10:00 – 11:07 10:00-11:07

    The video presents the third problem (Q3) on 'Alternate Days Problems'. Anushka can complete a work in 9 days, and Virat can complete it in 12 days. They work on alternate days, with Anushka starting first. The question asks how many days the work will be completed. The instructor writes the work rates: Anushka's rate is 1/9 per day, and Virat's rate is 1/12 per day. He calculates the work done in a two-day cycle: (1/9 + 1/12) = (4/36 + 3/36) = 7/36. He then determines how many such cycles are needed: 36/7 = 5 cycles with a remainder of 1/7. He calculates the work done in 10 days (5 cycles) as 5 * (7/36) = 35/36. The remaining work is 1 - 35/36 = 1/36. On the 11th day, Anushka works and completes 1/9 of the work, which is more than the remaining 1/36. The instructor concludes that the work will be completed in 10 and 1/4 days, which is 10.25 days. The video ends with a 'THANKS FOR WATCHING' screen.

The video provides a comprehensive walkthrough of three different types of time and work problems. It begins with a standard problem involving multiple machines with different work rates, demonstrating the use of the work formula. It then moves to a more complex problem involving a changing workforce, requiring the sum of an arithmetic series. Finally, it tackles an 'alternate days' problem, which requires calculating the work done in a repeating cycle. The progression shows a clear increase in complexity, from a single formula application to a multi-step problem involving series and cycles. The instructor uses a digital whiteboard to clearly present the problems and calculations, making the solution process easy to follow.

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