💥UPSC 2026, 2027, 2028 UAP Mentorship (March Batch) + Access XFactor Notes & Microthemes PDF

Type: Prelims Only

  • Innovations in Biotechnology and Medical Sciences

    Nematocysts in Aquatic Ecosystems

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Nematocysts

    Mains level: NA

    Central Idea

    • Evolution has crafted unique defense mechanisms in the animal kingdom, one of which is the nematocyst.

    Understanding Nematocysts

    • Structural Composition: A nematocyst comprises a capsule with a coiled tubule and a toxin-filled bulbous structure.
    • Rapid Deployment: Upon stimulation, the nematocyst ejects its tubule at an incredibly high acceleration, comparable to a bullet’s speed.
    • Fastest Biological Mechanisms: This ejection process is among the quickest in the animal kingdom.
    • Found in: Nematocysts are particularly prevalent in jellyfish, corals, sea anemones, and hydras, serving as effective tools for hunting and protection.

    Role in Cnidarians’ Survival

    • Cnidarians and Cnidocytes: Cnidarians, a group of animals characterized by cnidocytes (specialized cells), heavily rely on nematocysts for feeding and defense.
    • Activation Process: Contact with potential prey triggers sensory structures on cnidocytes, leading to the nematocyst’s release and subsequent prey immobilization or toxin injection.

    Diversity of Toxins in Nematocysts

    • Variety of Effects: Nematocyst toxins can be paralytic, halting prey movement, or cytolytic, breaking down cells.
    • Strategic Use: Cnidarians often employ a mix of toxins to enhance the effectiveness of their predatory and defensive actions.
    • Contribution to Cnidarians’ Success: The complexity and efficiency of nematocysts play a vital role in the survival and dominance of cnidarians in aquatic habitats.
    • Formidable Aquatic Predators: The presence of nematocysts makes cnidarians formidable entities in their ecosystems.
  • US policy wise : Visa, Free Trade and WTO

    Project PRAYAS to help Indian youth migrate abroad

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Project PRAYAS

    Mains level: Read the attached story

    Central Idea

    • The International Organisation for Migration (IOM) introduced Project PRAYAS (Promoting Regular & Assisted Migration for Youth and Skilled Professionals) to facilitate secure and regular migration for Indian workers and students.

    What is Project PRAYAS?

    Details
    Project Name Project PRAYAS
    Introduced By International Organization for Migration (IOM)
    Partnership Ministry of External Affairs, India
    Objective To facilitate secure and regular migration for Indian workers and students
    Key Focus Enhancing coordination between state and central governments

    Addressing India’s growing role in international migration

    Providing policy recommendations for migration governance

    IOM’s Role Promoting humane and orderly migration as a United Nations agency
    Significance Represents a consolidation of state-level efforts for well-managed international migration
    Focus Areas and Activities Conducting comprehensive studies on migration trends

    Launching awareness programs for safe and orderly migration processes


    Back2Basics: International Organisation for Migration (IOM)

    Details
    Establishment 1951
    Initial Purpose To assist in the resettlement of people displaced by World War II
    Current Role Providing services and advice on migration to governments and migrants, including various displaced persons
    Type Intergovernmental Organization
    Membership 173 member states, 8 observer states
    Headquarters Geneva, Switzerland
    Key Objectives Promote humane and orderly migration Emergency response

    Link migration with development Health and support for migrants

    Facilitate managed labor migration Counter human trafficking

    UN Relationship Became a related organization of the United Nations in 2016
    India and IOM India has been a member of IOM since 1992.
  • The Crisis In The Middle East

    Bab El-Mandeb: A Strategic Choke Point

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Bab El-Mandeb

    Mains level: Read the attached story

    Bab El-Mandeb

    Central Idea

    • The war between Israel and Hamas in October raised concerns about Hezbollah’s involvement, but the focus shifted when the Houthis in Yemen expanded the conflict to the Red Sea.
    • Despite tensions, Hezbollah and Israel avoided full-scale war, with Israel concentrating on Gaza.

    Houthi Involvement and Shift in Tactics

    • Initial Actions: The Houthis, aligned with Iran, initially targeted Israel in solidarity with Palestinians, using drones and missiles, which were intercepted.
    • Change in Strategy: Later, they shifted focus to attacking commercial ships in the Red Sea, threatening global shipping routes.

    Understanding the Houthis

    • Background: The Houthis, known formally as Ansar Allah, are a Shia militia group in Yemen, named after their late leaders Badr al-Din al-Houthi and Hussein al-Houthi.
    • Iranian Support: They receive direct support from Iran and have significant military capabilities, including drones and ballistic missiles.

    Strategic Importance of Bab el-Mandeb Strait

    • Geographical Significance: The Strait of Bab el-Mandeb is a crucial maritime chokepoint, connecting the Red Sea with the Gulf of Aden and the Indian Ocean.
    • Impact on Global Shipping: Houthi actions near the strait have led to a significant decrease in Red Sea traffic and increased shipping costs.

    Global and Regional Consequences

    • Effect on Israel: Israel’s southern port traffic, particularly in Eilat, has been severely impacted.
    • Broader Trade Implications: Approximately 12% of global maritime trade passes through the strait. Disruptions here could exacerbate inflationary pressures worldwide.
    • Alternative Routes: Shipping companies are rerouting around Africa, significantly increasing travel time and costs.

    International Response

    • US Naval Task Force: The U.S. has established a naval force to counter the Houthi threat.
    • Arab World’s Stance: Many Red Sea countries, including Egypt, have not joined the U.S. task force, reflecting regional discontent with U.S. policies.
    • Potential Offensive Measures: The U.S. has not ruled out bombing Houthi targets in response to continued attacks on shipping lanes.

    Conclusion

    • Continued Houthi Threat: The Houthis vow to persist in their actions as long as Israel’s conflict with Gaza continues.
    • Challenges for Global Trade: The situation underscores the fragility of global shipping routes and the potential for regional conflicts to have far-reaching economic impacts.
    • Need for Diplomatic Solutions: This complex scenario highlights the importance of diplomatic efforts to resolve regional tensions and protect vital maritime trade routes.
  • Textile Sector – Cotton, Jute, Wool, Silk, Handloom, etc.

    India’s Textile Crisis amid Rising MMF Fabric Imports

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: NA

    Mains level: India's textile sector

    Central Idea

    • Major textile hubs in India, including Ludhiana, Surat, and Erode, are grappling with the surge in imports of man-made fibre (MMF) fabrics, impacting a sector worth about $60 billion.
    • Fabric processors and weavers across these hubs express concerns over the influx of cheaper imports, primarily from China, affecting their businesses.

    Impact of Imported MMF Fabrics

    • Market Dominance: Imported fabrics, especially from China, are increasingly found in Indian markets, leading to unsold stocks and production cuts by local weavers.
    • Price Disparity: Indian weavers face competition from cheaper imported yarns, compelling them to import materials like viscose yarn from China to remain competitive.

    Statistical Overview of MMF Fabric Imports

    • Doubling of Imports: In the last three years, MMF fabric imports have doubled, with a significant portion being knitted synthetic fabrics.
    • Import Data: Daily imports from China increased from 325 tonnes in 2019-2020 to 887 tonnes in the April-June quarter of the current fiscal year, with a notable drop in average value per kg.

    Under-Invoicing and Quality Control Issues

    • Under-Invoicing Concerns: The practice of under-invoicing imported finished fabrics poses a major challenge, leading to calls for stricter customs regulations.
    • Quality Control Orders (QCOs): The government’s introduction of QCOs on MMF fibres and products, requiring BIS certification, has impacted the entire value chain.

    Consequences for Local Industry and Global Trade

    • Operational Capacity: The downstream industry is reportedly operating at only 70% capacity due to these challenges.
    • Export Decline: Exports of man-made yarn, fabrics, and made-ups have seen a year-on-year decline.
    • Global MMF Trade: India’s share in global MMF trade was 2.7% in 2019, with fabrics and yarn being major export components.

    Industry Perspectives and Government Policies

    • Innovation Gap: Industry experts highlight a lack of innovation in MMF products in India compared to countries like China, Thailand, and Korea.
    • Impact of QCOs: The introduction of QCOs, particularly at the fibre stage, is criticized for disrupting the industry, with calls for implementing quality controls at the garment stage instead.
    • Challenges for MSMEs: Small and medium enterprises face financial strain due to declining orders, high prices, and increased operational costs.
    • GST Issues and Financial Relief Demands
      • GST Refund Delays: The introduction of GST led to higher taxes on MMF fibre and yarn, with delayed refunds causing financial burdens for weavers.
      • Refund Controversy: Weavers contend that they are owed significant refunds due to the inverted duty structure, with the government potentially owing around ₹1,000 crore to the sector.

    Conclusion

    • Need for Strategic Measures: Addressing the challenges in India’s textile industry requires a balanced approach, considering both domestic capabilities and global market dynamics.
    • Government’s Role: Effective policy measures, including rationalizing import duties and quality controls, are essential to support the industry and enhance its competitiveness.
    • Future Outlook: The textile sector’s resilience and adaptability will be key in overcoming these challenges and capitalizing on potential opportunities in the global market.
  • Historical and Archaeological Findings in News

    Time Measurement and Role of Ujjain in Ancient Astronomy

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Prime Meridian, Ujjain

    Mains level: NA

    ujjain

    Central Idea

    • The newly elected Madhya Pradesh CM asserted that Ujjain, was the reference for world time 300 years ago, before the Prime Meridian shifted to Paris and then Greenwich.
    • For UPSC aspirants, understanding these nuances is essential for a comprehensive grasp of India’s scientific heritage and its global context.

    Time Measurement and Ujjain’s Role

    • Ujjain’s Central Meridian: Before Greenwich’s establishment in 1884, Ujjain was the central meridian for time in India, influencing Hindu almanac calculations.
    • Vedshala Observatory: The Vedshala or Government Jiwaji Observatory in Ujjain offers insights into ancient Indian timekeeping methods.

    Ujjain’s Geographical and Astronomical Significance

    • Surya Siddhanta’s Contributions: This 4th-century astronomical treatise positions Ujjain at the intersection of the zero meridian of longitude and the Tropic of Cancer, highlighting its global importance.
    • Astronomical Landmarks: Ujjain’s location on the Tropic of Cancer, intersecting significant temples, underscores its historical and religious significance in Hindu cosmogony.

    Legacy of Maharaja Sawai Jai Singh II and the Vedshala

    • Observatory’s Origins: Built between 1725-1730 by Maharaja Sawai Jai Singh II, the Vedshala was inspired by the observatory in Samarkand and predates those in Jaipur, Delhi, Mathura, and Varanasi.
    • Motivation for Construction: Jai Singh’s initiative to educate the country in astronomy was sparked by a debate in the Mughal court over astronomical calculations.

    Ujjain’s Astronomical Heritage and Contributions

    • Center for Ancient Astronomy: Ujjain was a hub for astronomical and mathematical studies, home to scholars like Varahamihira, Brahmagupta, and Bhaskaracharya.
    • Vikram Samvat Calendar: King Vikramaditya’s establishment of the Vikram Samvat calendar around 58–56 B.C. further cements Ujjain’s historical importance.

    Exploring the Vedshala’s Instruments and Functions

    • Yantras and Their Uses: The observatory houses various instruments (yantras) for measuring time, celestial altitudes, planetary motions, and eclipses.
    • Unique Instruments: The Shankhu Yantra, Samrat Yantra, Digansha Yantra, Nadi Valay Yantra, and Bhitti Yantra demonstrate the sophistication of ancient Indian astronomical tools.
    • Taramandel Shows: The observatory also features a planetarium offering educational shows about celestial bodies.

    Ongoing Astronomical Research and Preservation

    • Renovation and Continuation of Studies: Maharaja Madhav Rao Scindia of Gwalior renovated the observatory in 1923, ensuring the continuation of astronomical research.
    • Annual Ephemeris Publication: The observatory publishes an ephemeris, detailing the daily positions and movements of planets.

    Conclusion

    • Balancing Historical Pride and Scientific Accuracy: While appreciating Ujjain’s rich astronomical heritage, it’s crucial to distinguish between historical significance and contemporary scientific standards.
    • Insights for UPSC Aspirants: Understanding Ujjain’s role in ancient timekeeping and astronomy offers UPSC aspirants a nuanced perspective on India’s scientific contributions and cultural heritage.
    • Enduring Legacy: Ujjain’s astronomical legacy, exemplified by the Vedshala Observatory, continues to be a testament to India’s historical advancements in science and time measurement.
  • Judicial Reforms

    Tribunals cannot direct Government to frame policy: SC

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Tribunals

    Mains level: Read the attached story

    Central Idea

    • The Supreme Court clarified that tribunals, bound by their governing legislations, cannot compel the government to formulate policy.
    • It emphasized the separation of powers, stating that policy-making is outside the judiciary’s domain, including quasi-judicial bodies like tribunals.

    What are Tribunals?

    Details
    Nature Judicial or quasi-judicial institutions established by law
    Purpose Provide faster adjudication compared to traditional courts

    Offer expertise on specific subject matters

    Functions Adjudicating disputes

    Determining rights between parties

    Making administrative decisions

    Reviewing existing administrative decisions

    Constitutional Recognition 42nd Amendment Act, 1976 introduced Articles 323-A and 323-B in the Constitution
    Article 323A Empowers Parliament to constitute administrative Tribunals for public service matters
    Article 323B Allows Parliament or state legislatures to constitute tribunals for specific subjects like taxation, land reforms
    Composition Comprises expert (technical) members and judicial members
    Expert Members Selected from various fields, including central government departments
    Judicial Members Persons with a judicial background, such as High Court judges or eligible lawyers
    Supreme Court’s Stance Technical members not required if tribunal’s aim is expeditious disposal of matters

    Case in Focus: Armed Forces Tribunal (AFT) and Policy Direction

    • Specific Case Reviewed: The Bench addressed whether the AFT could direct the government to create a policy for appointing the Judge Advocate General (Air).
    • General Observation: It has been consistently observed that courts cannot mandate the government to enact legislation or develop a policy.

    Judicial Analysis and Reasoning

    • Justice Karol’s Observations: Justice Sanjay Karol noted that the AFT, with powers akin to a civil court, lacks the authority of the Supreme Court or High Courts.
    • High Courts’ Limitations: Even High Courts, under Article 226 of the Constitution, cannot order the government or its departments to establish specific policies.
    • Government’s Prerogative: The judgment reinforced that policy creation, especially concerning defense personnel services or their regularization, is exclusively the government’s responsibility.

    Implications of the Judgment

    • Tribunals’ Restricted Powers: Tribunals must operate within the confines of their governing legislation and lack the jurisdiction to influence policy formation.
    • Judiciary’s Role in Policy Matters: The judgment highlights the judiciary’s limited role in policy-making, even in cases where fundamental rights might be at stake.
    • Separation of Powers: This ruling underscores the principle of separation of powers, delineating the distinct functions of the legislative, executive, and judicial branches.

    Conclusion

    • Respecting Institutional Boundaries: The judgment serves as a reminder of the importance of respecting the boundaries and roles of different government institutions in a democratic setup.
    • Broader Implications: This decision has significant implications for how tribunals and courts interact with policy-making processes, emphasizing judicial restraint and adherence to the constitutional framework.
  • Explained: Creating new Districts

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Districts in India

    Mains level: Read the attached story

    Central Idea

    • Amid reports that Odisha may create a few more districts before the end of the year, the Orissa High Court has directed the government not to issue any final order in this regard without its permission.

    Districts in India

    • Historical Background: Districts, as local administrative units, are a legacy from the British Raj era.
    • Administrative Hierarchy: Positioned below the state and territory level, districts are crucial in India’s local governance structure.
    • Leadership and Responsibilities: A Deputy Commissioner or Collector, often from the Indian Administrative Service (IAS), heads a district, overseeing administration and maintaining law and order.
    • Subdivision of Districts: Districts are further divided into smaller units like tehsils, talukas, or mandals, varying by region.

    Mechanics of Creating New Districts

    • State Government’s Prerogative: The authority to create, modify, or abolish districts lies with State governments, executed via executive orders or state assembly legislation.
    • Preferred Methodology: States typically opt for the executive route, issuing official gazette notifications for these changes.

    Central Government’s Role in District Reconfiguration

    • Limited Involvement: The Central government’s role is minimal in district reformation, primarily concerning name changes.
    • Procedure for Name Changes: For renaming districts or railway stations, State governments seek clearances from central entities like the Home Ministry, Ministry of Earth Sciences, Intelligence Bureau, Department of Posts, Geographical Survey of India, and the Railway Ministry.

    Trends in District Formation

    • Increase in Numbers: India’s district count has risen from 593 in 2011 to 718, as per the Government of India’s Know India website.
    • Factors Influencing Growth: This increase includes new districts formed between 2001-2011 and the bifurcation of Andhra Pradesh into Andhra Pradesh and Telangana in 2014.

    Rationale behind Creating New Districts

    • Benefits: Districts gain from government investments in local administration and development.
    • Infrastructure and Economic Development: New districts see enhanced infrastructure, attracting investments and boosting economic activities and employment.

    Challenges in District Formation

    • Limitations and Costs: The financial burden of establishing administrative infrastructure restricts rampant district creation.
    • Resource Allocation: The process involves setting up offices and deploying officers and public servants, impacting the state’s budget.

    Way Forward

    • Community Engagement: Involving local populations in the decision-making process is vital to align district formation with their aspirations and needs.
    • Conflict Resolution and Inclusive Growth: This approach can help mitigate conflicts and ensure decisions contribute to the inclusive growth of the state and nation.

    Back2Basics: History of Districts in India

    Details
    Early Administration Initiated by the British East India Company post-Battle of Plassey (1757) and Battle of Buxar (1764)
    Collectorate System Introduced by Warren Hastings in 1772; District Collector as key revenue, judicial, and administrative authority
    Transition to Crown Rule Post-1857 Revolt, direct British Crown rule led to formalization of district system
    Role of District Collector Central figure in district administration, responsible for revenue, law, and order
    Revenue Systems Implementation of Zamindari, Ryotwari, and Mahalwari systems for land revenue collection
    Survey and Settlement Extensive land surveys for revenue assessment
    Judicial Functions Initially, Collectors (District Magistrate) handled judicial roles; later, separate judicial offices were established
    Law Enforcement Establishment of modern police system with districts as key units
    Impact on Indian Society Centralized control, introduction of bureaucracy
    Post-Independence Legacy Retained district system with evolved role of District Collector
  • North-East India – Security and Developmental Issues

    Lapses in the implementation of PM-DevINE Scheme

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: PM-DevINE Scheme

    Mains level: Not Much

    Central Idea

    • Only about 10% of the funds under the Prime Minister’s Development Initiative for North East Region (PM-DevINE) have been sanctioned.

    About PM-DevINE Scheme

    Details
    Genesis of PM-DevINE – Introduced in Union Budget 2022-23

    – Approved by the Cabinet on 12th October 2022

    Funding 100% Central funding
    Implementing Ministry Ministry of Development of North-East Region
    Objectives – Infrastructure Development in line with PM GatiShakti

    – Supporting Social Development Projects

    – Empowering Youth and Women in the NER

    Project Implementation State-wise, project-wise list of projects approved for FY 2022-23, tailored to specific state needs
  • Modern Indian History-Events and Personalities

    Evolution of Passports in the Context of ‘Dunki’

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Evolution of Passports

    Mains level: NA

    Passports

    Central Idea

    • A recent Bollywood movie ‘Dunki’ addresses the complex issue of immigration.
    • The term “donkey journey” in the title refers to the perilous routes taken by people lacking legal permits or financial means to immigrate.
    • The film highlights that the current system of visas and passports is a relatively recent development, dating back about 70 years.

    Historical Perspective on Passports

    • Early Forms of Passports: Passports, serving as identity proofs and travel permits, have existed in various forms for centuries.
    • Biblical Reference: The Book of Nehemiah mentions King Artaxerxes of ancient Persia providing letters for safe passage, akin to modern passports.
    • European Documentation: In France and the United Kingdom, systems similar to modern passports were in place well before the French Revolution of 1789.

    The French Passport System

    • Internal and Overseas Passports: France required internal passports for domestic travel and overseas passports for foreign trips.
    • State Control and Regulation: The system was also used to regulate skilled workers and prevent the entry of potential troublemakers.

    Emergence of Modern Passports

    • Shift in India: Before World War I, India did not issue passports, but the British government introduced mandatory passports under the Defence of India Act (1914 to 1918).
    • Global Changes Post-World Wars: The need for secure borders during the World Wars led to a global shift in the perception and use of passports.
    • British Nationality and Status of Aliens Act: This 1914 Act in Britain consolidated laws related to citizenship and introduced modern passport features.

    Standardization and Regulation

    • League of Nations’ Involvement: In 1920, the League of Nations aimed to standardize passport systems, with the British model becoming widely adopted.
    • US Immigration Laws and Passports: The US introduced passport laws in the 1920s, coinciding with immigration restrictions from Asia.

    Public Reception and Cultural Impact

    • Personal Discomfort: In the US and UK, some people found the detailed physical descriptions and identity verification in passports intrusive.
    • Media Attention: The requirement for prominent individuals, including President Woodrow Wilson, to have passports garnered significant media interest.

    Conclusion

    • Beyond Wartime Necessity: Initially intended as a wartime tool, passports have become an integral part of modern citizenship and international travel.
    • Continued Evolution: The history of passports, as explored in ‘Dunki’, reflects the ongoing evolution of identity verification and border control in response to global socio-political changes.
  • Innovations in Sciences, IT, Computers, Robotics and Nanotechnology

    National Mathematics Day: Remembering the legacy of Srinivasa Ramanujan

    Note4Students

    From UPSC perspective, the following things are important:

    Prelims level: Srinivasa Ramanujan (1887-1920)

    Mains level: NA

    Ramanujan

    Central Idea

    • December 22, Ramanujan’s birthday, was declared National Mathematics Day in India by Prime Minister Manmohan Singh in 2012, in recognition of his contributions to the field.

    Srinivasa Ramanujan (1887-1920)

    • Early life: Srinivasa Ramanujan, born on December 22, 1887, in Erode, Tamil Nadu, exhibited extraordinary mathematical abilities from a very young age.
    • Mathematical Mastery by 14: By age 14, Ramanujan had mastered advanced mathematics, excelling in exams and exploring complex topics.
    • Difficulties in Other Subjects: His singular focus on mathematics led to poor grades in other subjects, hindering his academic progress.
    • Scholarship Loss and Hardships: After losing a scholarship at Government College in Kumbakonam due to his academic struggles, Ramanujan faced financial difficulties and limited job opportunities.

    Rise in Mathematical Circles

    • Recognition in Madras: By 1910, Ramanujan had gained recognition in Madras’s mathematical circles for his independent work.
    • Clerical Job and Research: In 1912, he secured a clerical position at the Madras Port Trust, which afforded him time for mathematical research.
    • Collaboration with GH Hardy: In 1913, Ramanujan began a correspondence with British mathematician GH Hardy, leading to an invitation to Cambridge University.

    Collaboration and Achievements in Cambridge

    • Journey to Britain: Ramanujan arrived in Britain in 1914 and joined Trinity College, Cambridge.
    • Work with Hardy and Littlewood: Collaborating with Hardy and JE Littlewood, Ramanujan made significant contributions despite his lack of formal higher education.
    • Prestigious Honors: He was elected to the London Mathematical Society in 1917 and became a Fellow of the Royal Society in 1918, one of the youngest Fellows in its history.

    Health Struggles and Return to India

    • Declining Health: Ramanujan’s health worsened in the cold British climate, leading to a diagnosis of tuberculosis.
    • Final Years: He returned to India in 1919 and passed away on April 26, 1920, at the age of 32.

    Ramanujan’s Enduring Mathematical Legacy

    • High Praise from Hardy: GH Hardy ranked Ramanujan’s natural mathematical talent alongside greats like Euler and Jacobi.
    • Bruce C Berndt’s Analysis: American mathematician Bruce C Berndt extensively studied Ramanujan’s notebooks, emphasizing the depth of his contributions.
    • Impact on Number Theory: Ramanujan’s work, particularly on the partition function, has had a lasting impact on number theory.
    • Broad Contributions: His expertise included areas like continued fractions, Riemann series, elliptic integrals, hypergeometric series, and the zeta function.
    • Legacy of Unpublished Works: Ramanujan left behind notebooks filled with unpublished results that continued to inspire mathematicians for decades.

    Try this question from CSP 2016:

    A recent movie titled “The Man Who Knew Infinity” is based on the biography of-

    (a) S. Ramanujan

    (b) S. Chandrasekhar

    (c) S. N. Bose

    (d) C. V. Raman

     

    Post your answers here.