TCS Previous Year Question on Alligation Rule

Duration: 11 min

This video lesson is available to enrolled students.

Return to /learn/BPSC/part-2-primary-maths/mixture-and-alligation/alligation-rule-core-concept-two-ingredient-mixture/asset-tcs-previous-year-question-on-alligation-rule after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Section 1 | Language (Hindi): भाषा, लिपि, ध्वनि, वर्ण, अक्षर, स्वर, व्यंजन, मात्रा और संयुक्ताक्षर, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, विशेषण और क्रिया, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, मुहावरे और लोकोक्तियाँ, अपठित गद्यांश और अपठित पद्यांश, Multi-Topic Content (Cross-Concept Material), वर्णमाला
  3. Section 1 | Language (उर्दू भाषा — 22 प्रश्न (निश्चित)): Spelling & Diacritics, Grammar (اسم, فعل, صفت, ضمیر), Vocabulary, Idioms & Proverbs, Comprehension
  4. Section 1 | Language (বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)): Bangla Script and Sounds, Bangla Grammar and Usage, Bangla Word Formation and Vocabulary, Reading and Text Interpretation
  5. Section 1 | Language (English): Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Pronoun, Verb, Adverb, Preposition, Articles, Determiner, Conjunction, Modals, Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Construction, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Verbal Analogy (Word Based Analogy), Facts, Inference and Judgements
  6. Section 2 | Primary Maths & Reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Mensuration and Geometry, Age Problems, Arithmetic, Powers and Exponents (Surds and Indices), Algebra, Probability, Trigonometry, Syllogisms, Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence
  7. Section 2 | General Awareness (GK + Current Affairs): Polity, Physics, Biology, State Wise GK, Chemistry, History, Geography, Indian Economy, Environment, GK- Current Affairs, Static General Knowledge
  8. Section 3 | Computer System and Org. (CSO): Basics of COA, Floating Point Rep, Cache Memory Organization, Instr Formats & Modes, Programming the Basic Computer, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design
  9. Section 3 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, SQL, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control
  10. Section 3 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Process Synchronization
  11. Section 3 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics
  12. Section 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Shortest Path Algos
  13. Section 3 | Theory Of Computation & Compiler Design: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization
  14. Section 3 | Emerging Trends (AI, Societal Ethics & MS Office): Artificial Intelligence, Emerging Tech Trends, Society, Law & Ethics, MS Office Applications
  15. Section 3 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Maintenance and Configuration Management, Software Testing
  16. Section 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Section 3 | OOPS, C++, JAVA, HTML: OOPS with C++, Java, HTML Basics, CSS
  18. Section 3 | Java: Java Fundamentals, Array, String, IO & References
  19. Section 3 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  20. Section 3 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  21. Section 3 | Multimedia: Multimedia
  22. BPSC Previous Year Papers:
  23. BPSC Full Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain, is a comprehensive tutorial on solving mixture and alligation problems, a common topic in competitive exams like the TCS exam. The lecture begins with an introduction to the core concept of alligation, which is a method to find the ratio in which two or more ingredients at different prices must be mixed to achieve a desired average price. The instructor first explains the 'Basic Rule of Alligation' using a diagram that visually represents the relationship between the lower price, higher price, and the average price, leading to the formula: (Higher Price - Average Price) : (Average Price - Lower Price). To demonstrate this, a practical example is solved using the traditional algebraic approach, where the prices of Item A (Rs. 450 per kg) and Item B (Rs. 510 per kg) are used to find the ratio for a mixture costing Rs. 475 per kg. The video then introduces a faster, more efficient method known as the 'X short trick,' which simplifies the calculation by directly subtracting the prices from the average price to get the ratio. The video concludes with a final 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with an animated title card featuring a cartoon scientist in a lab, with the word 'MIXTURE' visible at the bottom. This transitions to a presentation slide with a geometric background, displaying the title 'MIXTURES & ALLIGATIONS' and the instructor's name, 'By Yash Jain'. A small video feed of the instructor, Yash Jain, is in the bottom right corner. He introduces the topic, explaining that the video will cover mixture and alligation problems, which are frequently asked in competitive exams such as the TCS exam.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins explaining the 'Alligation Rule'. The screen shows a handwritten note titled 'Basic Rule of Alligation'. The text explains that if item 'A' is sold at a lower price (x) and item 'B' at a higher price (y), and they are mixed in a ratio to get an average price (a), the required ratio is (y-a) : (a-x). A diagram is drawn with 'lower price (x)', 'higher price (y)', and 'average price (a)' connected by lines, visually representing the rule. The instructor then introduces a problem: 'Item A is sold at Rs. 450 per kg & Item B is sold at Rs. 510 per kg. In what ratio A & B should be mixed so that the mixture costs Rs. 475 per kg?'. He labels this as a 'Traditional Approach' and begins to solve it by setting up variables p and q for the quantities of A and B, respectively.

  3. 5:00 – 10:00 05:00-10:00

    The instructor continues the traditional approach. He writes the total cost as '450p + 510q' and the total quantity as 'p + q'. He then sets up the equation for the average price: (450p + 510q) / (p + q) = 475. He proceeds to solve this equation algebraically, multiplying both sides by (p + q) to get 450p + 510q = 475p + 475q. By rearranging terms, he finds 35q = 25p, which simplifies to the ratio p:q = 35:25, or 7:5. He then transitions to a faster method, the 'X short trick', by drawing a diagram with the prices 450, 510, and the average 475. He shows the differences: 510 - 475 = 35 and 475 - 450 = 25, and states that the ratio is 35:25, which simplifies to 7:5, matching the traditional method.

  4. 10:00 – 11:05 10:00-11:05

    The video concludes with a final screen. The background is a dark purple gradient. In the center, the text 'THANKS FOR WATCHING' is displayed in large, white, capitalized letters. This is the end of the lecture, summarizing the key takeaway that the 'X short trick' provides a quick and efficient way to solve alligation problems, which is particularly useful for time-constrained competitive exams.

The video provides a clear, step-by-step tutorial on solving mixture and alligation problems. It effectively contrasts the traditional, algebraic method with a faster, more intuitive 'X short trick'. The core concept, the alligation rule, is introduced with a visual diagram and a clear formula. The example problem is solved using both methods, demonstrating that they yield the same result (a 7:5 ratio) but that the shortcut is significantly quicker. The progression from theory to practical application, and from a slower method to a faster one, makes the content highly effective for students preparing for competitive exams.

Loading lesson…