Leap Year Calendar Repeats after 28 years
Duration: 13 min
This video lesson is available to enrolled students.
Inside: a video lesson and guided study material.
Module outline
- Child Development and Pedagogy / बाल विकास एवं शिक्षाशास्त्र: Concept of Development / विकास की अवधारणा, Psychological Theories of Development / विकास के मनोवैज्ञानिक सिद्धांत, Individual Differences, Personality and Gender / व्यक्तिगत भिन्नताएँ, व्यक्तित्व एवं जेंडर, Intelligence and Creativity / बुद्धि एवं सृजनात्मकता, Learning and Its Theories / अधिगम एवं इसके सिद्धांत, How Children Think and Learn / बालक कैसे सोचते एवं सीखते हैं, Emotion, Motivation, Mental Health and Guidance / संवेग, अभिप्रेरणा, मानसिक स्वास्थ्य एवं निर्देशन, Inclusive Education / समावेशी शिक्षा, Teaching-Learning Process / शिक्षण-अधिगम प्रक्रिया, Teaching Methods and Strategies / शिक्षण विधियाँ एवं रणनीतियाँ, Assessment and Evaluation / आकलन एवं मूल्यांकन, Lesson Planning and Teaching Skills / पाठ योजना और शिक्षण कौशल, Teaching Resources and Educational Technology / शिक्षण संसाधन और शैक्षिक प्रौद्योगिकी, Classroom Management and Communication / कक्षा प्रबंधन और सम्प्रेषण, Teacher Identity and Professional Development / शिक्षक पहचान और व्यावसायिक विकास, Educational Thinkers, Aims and National Policies / शैक्षिक विचारक, उद्देश्य एवं राष्ट्रीय नीतियाँ, Life Skills, Values, Peace and Environmental Education / जीवन कौशल, मूल्य, शांति एवं पर्यावरण शिक्षा, Social Science Pedagogy / सामाजिक विज्ञान शिक्षणशास्त्र, Social and Political Life / सामाजिक एवं राजनीतिक जीवन, Science Pedagogy / विज्ञान शिक्षण शास्त्र
- Language I — हिंदी / Hindi: भाषा, लिपि और वर्ण-विचार, संधि, शब्द-स्रोत और शब्द-रचना, समास, शब्द-भेद: विकारी और अविकारी, लिंग, वचन, कारक, काल और वाच्य, वाक्य-विचार और शुद्ध लेखन, शब्द-भंडार, रस, छंद, अलंकार और शब्द-शक्ति, हिंदी साहित्य, अपठित बोध, हिंदी शिक्षणशास्त्र, ICT in Education / शिक्षा में ICT
- Language II — English: Sounds, Spelling and Word Formation, Parts of Speech, Nouns and Pronouns, Articles, Determiners and Adjectives, Verbs and Modals, Tenses and Subject–Verb Agreement, Adverbs, Prepositions and Conjunctions, Sentence Structure, Voice and Narration, Vocabulary, Sentence Correction and Writing Skills, Poetry and English Literature, Reading Comprehension, Pedagogy of English Language
- Language II — اردو / Urdu: رسم الخط، املا اور تلفظ, ذخیرۂ الفاظ, قواعد, محاورے اور ضرب الامثال, شعر و سخن, اردو ادب کی تاریخ, تفہیمِ عبارت, اردو کی تدریس
- Language II — संस्कृत / Sanskrit: वर्णविचारः एवं संज्ञाप्रकरणम्, सन्धिप्रकरणम्, शब्दरूपाणि, धातुरूपाणि, कारकाणि एवं विभक्तयः, उपसर्गाः एवं अव्ययानि, प्रत्ययप्रकरणम्, समासप्रकरणम्, वाच्यप्रकरणम्, संख्याज्ञानम्, शब्दज्ञानम् एवं अनुवादः, अपठितावबोधनम्, संस्कृतसाहित्यम् एवं काव्यशास्त्रम्, संस्कृतशिक्षणशास्त्रम्
- Mathematics / गणित: Number System & Place Value / संख्या पद्धति एवं स्थानीय मान, Basic Operations, Simplification & Patterns / मूलभूत संक्रियाएँ, सरलीकरण एवं पैटर्न, Factors, Divisibility, HCF & LCM / गुणनखंड, विभाज्यता, म.स.प. एवं ल.स.प., Fractions & Decimals / भिन्न एवं दशमलव, Squares, Cubes, Exponents & Surds / वर्ग, घन, घातांक एवं करणी, Measurement: Length, Mass, Capacity, Time & Money / मापन: लंबाई, भार, धारिता, समय एवं मुद्रा, Algebra / बीजगणित, Ratio, Proportion, Average & Ages / अनुपात, समानुपात, औसत एवं आयु, Percentage, Profit–Loss & Interest / प्रतिशत, लाभ-हानि एवं ब्याज, Time & Work and Speed–Distance / समय-कार्य एवं चाल-दूरी, Lines, Angles, Shapes & Coordinates / रेखाएँ, कोण, आकृतियाँ एवं निर्देशांक, Triangles, Quadrilaterals, Circles & Trigonometry / त्रिभुज, चतुर्भुज, वृत्त एवं त्रिकोणमिति, Mensuration: Perimeter, Area & Volume / क्षेत्रमिति: परिमाप, क्षेत्रफल एवं आयतन, Data Handling, Statistics & Probability / आँकड़ा प्रबंधन, सांख्यिकी एवं प्रायिकता, Mathematics Pedagogy / गणित शिक्षणशास्त्र, Mathematical Operations & Arithmetical Reasoning / गणितीय संक्रियाएँ एवं अंकगणितीय तर्क
- Environmental Studies / पर्यावरण अध्ययन: Family, Friends and Community / परिवार, मित्र और समुदाय, Plants / पौधे, Animals / जंतु, Farming and Animal Husbandry / खेती और पशुपालन, Food and Nutrition / भोजन और पोषण, Body and Health / शरीर और स्वास्थ्य, Water / जल, Shelter / आवास, Travel, Transport and Communication / यात्रा, परिवहन और संचार, Maps, Directions and India / मानचित्र, दिशाएँ और भारत, Things We Make and Do / हम क्या बनाते और करते हैं, Earth, Sky and Disasters / पृथ्वी, आकाश और आपदाएँ, Environment, Ecology and Wildlife / पर्यावरण, पारिस्थितिकी और वन्यजीव, Natural Resources, Pollution and Climate Change / प्राकृतिक संसाधन, प्रदूषण और जलवायु परिवर्तन, Pedagogy of Environmental Studies / पर्यावरण अध्ययन का शिक्षणशास्त्र, Ancient Indian History / प्राचीन भारत का इतिहास, Earth, Globe and Maps / पृथ्वी, ग्लोब एवं मानचित्र, Physical Geography / भौतिक भूगोल, Natural Vegetation, Wildlife and World Regions / प्राकृतिक वनस्पति, वन्य जीवन एवं विश्व के प्रदेश, Geography of India / भारत का भूगोल, Resources and Development / संसाधन एवं विकास, Indian Constitution / भारतीय संविधान, Government: Union, State and Local / सरकार: केंद्र, राज्य एवं स्थानीय, Force, Pressure, Work and Energy / बल, दाब, कार्य एवं ऊर्जा, Heat and Sound / ऊष्मा एवं ध्वनि, Light / प्रकाश, Universe and Natural Phenomena / ब्रह्मांड एवं प्राकृतिक परिघटनाएँ, Matter and Its Structure / पदार्थ एवं उसकी संरचना, Metals, Non-metals and Materials of Daily Use / धातु, अधातु एवं दैनिक उपयोग की सामग्री, Living World: Classification, Cell and Tissues / सजीव जगत: वर्गीकरण, कोशिका एवं ऊतक, Human Body and Organ Systems / मानव शरीर एवं अंग तंत्र, Food, Nutrition and Health / भोजन, पोषण एवं स्वास्थ्य, Environment and Ecology / पर्यावरण एवं पारिस्थितिकी, Uttar Pradesh GK / उत्तर प्रदेश सामान्य ज्ञान, Plants: Nutrition, Transport and Reproduction / पादपों में पोषण, परिवहन एवं जनन, Sports / खेल जगत, International Relations & Organisations / अंतरराष्ट्रीय संबंध एवं संगठन, Key Appointments & Office Holders / प्रमुख नियुक्तियाँ एवं पदधारक
- Extra Practice (beyond syllabus) / अतिरिक्त अभ्यास (पाठ्यक्रम से बाहर): Indian Economy: Data & Current Affairs / भारतीय अर्थव्यवस्था: आँकड़े एवं समसामयिकी, Indian Art & Culture / भारतीय कला एवं संस्कृति, Science & Technology / विज्ञान एवं प्रौद्योगिकी, Environment & Climate Affairs / पर्यावरण एवं जलवायु समसामयिकी, Defence & Security / रक्षा एवं सुरक्षा, Static General Knowledge / स्थिर सामान्य ज्ञान, Government Schemes, Governance & Infrastructure / सरकारी योजनाएँ, शासन एवं आधारभूत संरचना, Ranking, Seating Arrangement & Puzzles / क्रम, बैठक व्यवस्था एवं पहेली, Calendar & Clock / कैलेंडर एवं घड़ी, Dice & Cubes / पासा एवं घन, Medieval Indian History / मध्यकालीन भारत का इतिहास, Colonial India and Social Reform / औपनिवेशिक भारत एवं समाज सुधार, Indian National Movement and Independent India / भारतीय राष्ट्रीय आंदोलन एवं स्वतंत्र भारत, Technology, Measurement and Motion / प्रौद्योगिकी, मापन एवं गति, Chemical Reactions, Acids, Bases and Salts / रासायनिक अभिक्रियाएँ, अम्ल, क्षार एवं लवण, Economics and Indian Economy / अर्थशास्त्र एवं भारतीय अर्थव्यवस्था, Electricity and Magnetism / विद्युत एवं चुंबकत्व, Bihar GK / बिहार सामान्य ज्ञान, Rajasthan GK / राजस्थान सामान्य ज्ञान, Curriculum and School Activities / पाठ्यचर्या और विद्यालयी गतिविधियाँ, Computer Hardware and Peripherals / कंप्यूटर हार्डवेयर एवं परिधीय उपकरण
AI summary & chapters
AI Summary
An AI-generated summary of this video lecture.
The video is a tutorial on solving a logical reasoning problem related to calendar calculations. The instructor presents a question about a person, Taimoor Ali Khan, born on February 29, 2016, which was a Monday. The question asks how many of his birthdays he would celebrate on a Monday if he lived until 2099. The solution involves calculating the day of the week for February 29th in subsequent leap years. The instructor first establishes that a leap year occurs every 4 years, and the day of the week advances by 2 days (since 366 days = 52 weeks + 2 days). He then systematically calculates the day of the week for each leap year from 2020 to 2096, noting that 2096 is a leap year and 2099 is not. The calculation shows that the day of the week for February 29th cycles every 28 years, and the instructor uses this pattern to determine that the birthday falls on a Monday in 2020, 2048, 2076, and 2096. The final answer is 4. The video also includes a brief, unrelated question about the number of days in 'x' weeks, which is answered as 7x. The video is part of a series by 'Knowledge Gate' and is aimed at students preparing for placement exams.
Chapters
0:00 – 2:00 00:00-02:00
The video opens with a title card showing a calendar and the word 'CALENDAR'. It then transitions to a screen with a question about Taimoor Ali Khan's birthday. The question states that he was born on February 29, 2016, which was a Monday, and asks how many birthdays he would celebrate on a Monday if he lived until 2099. The instructor, Yash Jain, begins to explain the problem, noting that the date is February 29th, which only occurs in leap years. He writes '29th Feb 2016 -> Monday' on the screen to establish the starting point.
2:00 – 5:00 02:00-05:00
The instructor explains the concept of leap years, stating that a leap year occurs every 4 years. He writes '29th Feb 2020 ->' on the screen and begins to calculate the day of the week for that date. He explains that 2016 to 2020 is a 4-year period, and since a leap year has 366 days, the day of the week advances by 2 days (366 = 52 weeks + 2 days). He writes '2016 -> 2020 -> Monday + 2 days = Wednesday'. He then proceeds to calculate the day for 2024, writing '2020 -> 2024 -> Wednesday + 2 days = Friday'. He continues this pattern, calculating the day of the week for each subsequent leap year.
5:00 – 10:00 05:00-10:00
The instructor continues the calculation, writing '2024 -> 2028 -> Friday + 2 days = Sunday', '2028 -> 2032 -> Sunday + 2 days = Tuesday', and so on. He notes that the day of the week advances by 2 days every 4 years. He then calculates the day for 2048, writing '2044 -> 2048 -> Monday + 2 days = Wednesday'. He then calculates the day for 2052, writing '2048 -> 2052 -> Wednesday + 2 days = Friday'. He continues this process, calculating the day for 2056, 2060, 2064, 2068, 2072, 2076, 2080, 2084, 2088, 2092, and 2096. He notes that 2096 is a leap year and 2099 is not, so the last birthday he can celebrate is in 2096.
10:00 – 12:57 10:00-12:57
The instructor reviews the calculations and identifies the years when February 29th falls on a Monday. He writes '2016 -> Monday', '2020 -> Wednesday', '2024 -> Friday', '2028 -> Sunday', '2032 -> Tuesday', '2036 -> Thursday', '2040 -> Saturday', '2044 -> Monday', '2048 -> Wednesday', '2052 -> Friday', '2056 -> Sunday', '2060 -> Tuesday', '2064 -> Thursday', '2068 -> Saturday', '2072 -> Monday', '2076 -> Wednesday', '2080 -> Friday', '2084 -> Sunday', '2088 -> Tuesday', '2092 -> Thursday', '2096 -> Saturday'. He then realizes that he made a mistake and corrects it, stating that 2044 is a Monday. He then calculates the next Monday, which is 2076, and the next one, which is 2096. He concludes that the birthdays on Monday are in 2016, 2044, 2076, and 2096, for a total of 4 birthdays. He then briefly answers a second question about the number of days in 'x' weeks, which is 7x.
The video presents a step-by-step solution to a calendar-based logical reasoning problem. The core concept is that the day of the week for a date in a leap year advances by 2 days every 4 years due to the extra day in the leap year. The instructor systematically applies this rule to calculate the day of the week for February 29th in each leap year from 2020 to 2096. By identifying the pattern of the day of the week, he determines that the birthday falls on a Monday in 2016, 2044, 2076, and 2096, resulting in a total of 4 birthdays celebrated on a Monday. The video effectively demonstrates a method for solving such problems by breaking them down into manageable steps and using a clear, visual approach on a digital whiteboard.