Delhi Police Constable (Executive) (Held On: 22 Dec, 2025 Shift 2) (Previous Year Paper)

The correct answer is Monastic discipline and ethics.

Key Points

• The Vinaya Pitaka is the first of the three divisions of the Tripitaka (meaning 'Three Baskets'), which constitutes the standard collection of scriptures in the Theravada Buddhist tradition.
• It primarily contains the monastic rules and regulations prescribed by Gautama Buddha to govern the life and conduct of the Sangha (the community of monks and nuns).
• A central component of this text is the Patimokkha, a set of 227 rules for monks (bhikkhus) and 311 rules for nuns (bhikkhunis), which are recited fortnightly to ensure ethical purity.
• The Vinaya Pitaka is structurally divided into three main sections: the Suttavibhanga (commentary on the Patimokkha), the Khandhaka (rules for communal life and ceremonies), and the Parivara (a technical summary and manual of the rules).
• It provides detailed procedures for ordination, the resolution of disputes, and the daily behavior required to maintain the spiritual integrity and harmony of the monastic order.

 Additional Information

• The other two divisions of the Tripitaka serve distinct religious and academic purposes:
• Sutta Pitaka:
• This section consists of the Buddhavacana (word of the Buddha) and contains over 10,000 suttas (discourses) delivered by the Buddha and his close disciples.
• It focuses on the Dhamma (teachings) and includes essential concepts like the Four Noble Truths and the Eightfold Path.
• Abhidhamma Pitaka:
• This division offers a detailed scholastic analysis and systematization of the teachings found in the Sutta Pitaka.
• It deals with philosophical doctrines and the psychological breakdown of human experience, consciousness, and matter.
• First Buddhist Council:
• The Vinaya Pitaka was traditionally compiled and recited by Upali during the First Buddhist Council held at Rajgir (Rajagriha) shortly after the Buddha's death in 483 BCE.

The correct answer is Dr. Sachchidananda Sinha.

Key Points

• The Constituent Assembly of India held its first meeting on December 9, 1946, to begin the process of drafting a constitution for independent India.
• Following the French practice of electing the oldest member to preside over the initial proceedings, Dr. Sachchidananda Sinha was appointed as the temporary President of the Assembly.
• He was a renowned lawyer, parliamentarian, and journalist from Bihar, who played a significant role in the Indian national movement and the administrative separation of Bihar from Bengal.
• His tenure as the temporary President lasted until a permanent President was elected by the members of the assembly two days later.

 Additional Information

• Analysis of other prominent figures involved in the Constituent Assembly:
• B.N. Rau: He was appointed as the Constitutional Advisor to the assembly. He prepared the initial draft of the Constitution and represented India at the United Nations Security Council.
• Dr. B.R. Ambedkar: He was the Chairman of the Drafting Committee, which was set up on August 29, 1947. He is widely recognized as the Chief Architect or Father of the Indian Constitution.
• H.V.R. Iyengar: He served as the Secretary to the Constituent Assembly, handling the administrative framework and coordination of the assembly's diverse committees.
• Dr. Rajendra Prasad: On December 11, 1946, he was elected as the permanent President of the Constituent Assembly. He later became the first President of India upon the commencement of the Constitution in 1950.

The correct answer is To replace old criminal laws like the Indian Penal.

Key Points

• The Bharatiya Nyaya Sanhita (BNS), 2023 is the primary criminal code of India, enacted to modernize the legal system by repealing and replacing the Indian Penal Code (IPC) of 1860, which was a colonial-era law established under the British Raj.
• The central aim of this legislation is to shift the legal focus from a punitive colonial mindset to a justice-oriented approach, ensuring that the statutes are aligned with the contemporary social and technological landscape of 21st-century India.
• It introduces specific provisions for organized crime and terrorism, which were previously handled under special laws, and integrates them into the general criminal code for better legal clarity and enforcement.
• The BNS has streamlined various sections, reducing the total number of sections from 511 in the IPC to 358 in the new Sanhita, while also introducing community service as a recognized form of punishment for minor offenses for the first time in Indian criminal law.
• The legislation received the assent of the President of India on December 25, 2023, and officially came into force across the nation on July 1, 2024.

 Additional Information

• The Bharatiya Nyaya Sanhita was introduced alongside two other major legislative reforms by the Union Ministry of Home Affairs to overhaul the criminal justice framework:
• Bharatiya Nagarik Suraksha Sanhita (BNSS), 2023: This Act replaces the Code of Criminal Procedure (CrPC), 1973, focusing on procedural efficiency and the use of technology in investigations.
• Bharatiya Sakshya Adhiniyam (BSA), 2023: This Act replaces the Indian Evidence Act, 1872, allowing for the admissibility of digital and electronic records as primary evidence.
• Notably, the BNS has repealed the controversial law on Sedition (Section 124A of IPC) and replaced it with a new provision (Section 152) that targets acts endangering the sovereignty, unity, and integrity of India without using the term 'sedition'.
• New categories of crimes such as mob lynching and hit-and-run cases have been explicitly addressed with stringent penalties to ensure public safety and accountability.

The correct answer is Focus on agriculture.

Key Points

• The First Five-Year Plan was launched in 1951 and continued until 1956, under the leadership of Prime Minister Jawaharlal Nehru.
• It was based on the Harrod-Domar model, which emphasized the importance of capital accumulation and savings to drive economic growth in a nascent economy.
• The primary objective was to address the acute food shortage and inflation that plagued India following the Partition and World War II, making agriculture the topmost priority.
• Approximately 20.6% of the total plan outlay was allocated to Irrigation and Energy, specifically targeting the construction of massive dams and irrigation channels.
• Significant multipurpose river valley projects, including the Bhakra-Nangal, Hirakud, and Damodar Valley projects, were initiated to bolster farming productivity and generate power.
• The plan was highly successful, achieving a growth rate of 3.6%, which significantly surpassed the initial target of 2.1%, leading to a substantial increase in per capita income and national income.

 Additional Information

• Promote heavy industries:
• This was the core objective of the Second Five-Year Plan (1956-1961), which followed the Mahalanobis Model.
• It shifted focus from agriculture to rapid industrialization, leading to the establishment of steel plants in Bhilai, Durgapur, and Rourkela.
• Contextual Highlights of the First Plan:
• K.N. Raj, a prominent economist, played a vital role in drafting the plan, advocating for a cautious growth approach for the first two decades.
• The Community Development Programme was launched in 1952 to improve the standard of living in rural areas through self-help and government support.
• The University Grants Commission (UGC) was set up during this period to strengthen higher education, and five Indian Institutes of Technology (IITs) were also initiated.
• The plan also prioritized Land Reforms to abolish the Zamindari system and ensure equitable land distribution among the tillers.

The correct answer is Sattriya.

Key Points

• Sattriya is a major Indian classical dance form that originated in the Sattras (Vaishnavite monasteries) of Assam during the 15th century.
• The dance was introduced by the great saint and social reformer Mahapurush Srimanta Sankardev as a medium for the propagation of the Bhakti movement.
• The female costume in Sattriya is the Mekhela Chador, a traditional Assamese attire consisting of two main pieces: the Mekhela (the lower garment worn as a sarong) and the Chador (the upper garment draped over the shoulder).
• These costumes are meticulously crafted from indigenous Assam silk, specifically Pat silk (mulberry silk) or the rare Muga silk (golden silk), featuring traditional motifs like Kingkhap.
• Female dancers also wear traditional Assamese jewelry such as the Kopali on the forehead, Gam Kharu (large bangles), and Thoka Puta (earrings) to complete the ritualistic look.

 Additional Information

• Other classical dance costumes:
• Kathakali: Originating from Kerala, it is characterized by enormous billowing skirts, elaborate facial makeup, and large, heavy headgears known as Kireedam.
• Odissi: Hailing from Odisha, performers wear a Sambalpuri or Silk Saree draped with a decorative pleated cloth in front and distinctive silver jewelry.
• Mohiniyattam: Another classical dance from Kerala, its hallmark is the Kasavu Saree, which is plain off-white or cream in color with a striking gold-threaded border.

The correct answer is Goddess Mahakali.

Key Points

• Bonalu is a traditional Hindu festival celebrated annually in the state of Telangana, predominantly in the twin cities of Hyderabad and Secunderabad.
• The festival is dedicated to Goddess Mahakali, an intense form of the Mother Goddess, to thank her for the fulfillment of vows and to seek protection from diseases.
• It is observed during the Ashada Masam, which typically falls in the months of July and August according to the Gregorian calendar.
• The word Bonam is derived from the Sanskrit word Bhojanam, meaning a meal or a feast, which is offered to the Goddess in decorated earthen or brass pots.
• The celebrations officially commence at the Jagadamba Temple located in the Golconda Fort on the first Sunday of the month.
• Women carry the Bonam (rice cooked with milk and jaggery) on their heads, adorned with neem leaves, turmeric, and vermillion, accompanied by rhythmic drum beats.

 Additional Information

• Historical Significance:
• The origin of the festival dates back to 1813, following a massive plague outbreak in the region. It is believed that the military battalion from Hyderabad stationed in Ujjain prayed to the Goddess to stop the plague, promising to install her idol back home.
• The Ujjaini Mahakali Temple in Secunderabad remains one of the central hubs for these festivities.
• Rituals and Figures:
• Pothuraju: A key figure in the procession, representing the brother of the Goddess, who dances to the drums and is believed to ward off evil spirits.
• Rangam: A ritual held on the morning after the main festival where a woman standing on an earthen pot predicts the future of the state and the rains for the coming year.
• Ghatam: A copper pot decorated in the form of the Goddess, which is carried in a procession on the final day before being immersed in water.

The correct answer is Javelin Throw.

Key Points

• Neeraj Chopra secured the gold medal for India in the Men's Javelin Throw event at the Tokyo 2020 Olympics (held in 2021).
• He recorded a massive throw of 87.58 meters in his second attempt to clinch the top spot on the podium on August 7, 2021.
• This achievement made him the first Indian athlete to win a gold medal in Track and Field (athletics) in the history of independent India.
• Neeraj Chopra is only the second Indian individual to win an Olympic gold medal, following Abhinav Bindra, who won gold in the 10m Air Rifle event in 2008.
• With this gold medal, India concluded the Tokyo 2020 campaign with a total of 7 medals (1 Gold, 2 Silver, and 4 Bronze), marking its most successful Olympic performance to date.

 Additional Information

• Wrestling:
• India won two medals in wrestling at Tokyo 2020. Ravi Kumar Dahiya won the Silver medal in the men's 57kg freestyle, and Bajrang Punia secured the Bronze medal in the men's 65kg freestyle.
• Boxing:
• Lovlina Borgohain won a Bronze medal in the women's Welterweight category (64-69kg), becoming the third Indian boxer ever to win an Olympic medal.
• Shooting:
• Although India fielded a strong 15-member shooting contingent, the team did not secure any medals at the Tokyo 2020 Olympics.
• Neeraj Chopra's Background:
• He serves as a Subedar in the Indian Army, specifically within the 4th Rajputana Rifles. He was honored with the Major Dhyan Chand Khel Ratna Award in 2021 following his Olympic success.

The correct answer is 1985.

Key Points

• The South Asian Association for Regional Cooperation (SAARC) was established on December 8, 1985, during the first SAARC Summit held in Dhaka, Bangladesh.
• The foundation of the organization was marked by the formal adoption of the SAARC Charter, which was signed by the heads of state or government of seven South Asian nations.
• The primary objective of SAARC is to promote the welfare of the people of South Asia, improve their quality of life, and accelerate economic growth, social progress, and cultural development in the region.
• The establishment followed several years of preparatory meetings, starting from a proposal in 1980, which led to the first meeting of foreign secretaries in Colombo in 1981.
• The association is built on the principles of sovereign equality, territorial integrity, political independence, and non-interference in the internal affairs of other states.

 Additional Information

• Membership and Expansion:
• The seven founding members are India, Pakistan, Bangladesh, Sri Lanka, Nepal, Bhutan, and the Maldives.
• Afghanistan became the eighth member of SAARC during the 14th Summit held in New Delhi in April 2007.
• Administrative Structure:
• The SAARC Secretariat was established in Kathmandu, Nepal, on January 16, 1987, to coordinate and monitor the implementation of activities.
• The Secretary-General of SAARC is appointed by the Council of Ministers for a non-renewable term of three years.
• Regional Institutions:
• SAARC has established specialized bodies such as the South Asian University (SAU) in India, the SAARC Development Fund (SDF) in Bhutan, and the SAARC Arbitration Council in Pakistan.

The correct answer is Aurangzeb.

Key Points

• The Moti Masjid, which translates to the Pearl Mosque, was built by the Mughal Emperor Aurangzeb inside the Red Fort (Lal Qila) complex in Delhi.
• Constructed between 1659 and 1660, it was designed as a private place of worship for the emperor, located west of the Hamam and near the Diwan-i-Khas.
• The mosque is made entirely of white marble, featuring three bulbous domes and a small courtyard surrounded by high walls to ensure the privacy of the royal family.
• While the exterior of the Red Fort is primarily red sandstone, the interior use of white marble in this mosque represents the distinct architectural transition during Aurangzeb's reign.

 Additional Information

• Shah Jahan
• He was the father of Aurangzeb and the builder of the Red Fort itself, the Taj Mahal, and the Jama Masjid.
• Crucially, Shah Jahan also built a Moti Masjid, but it is located within the Agra Fort, not the Delhi Red Fort.
• Akbar
• The third Mughal Emperor who is famous for building the Agra Fort, Fatehpur Sikri, and the Buland Darwaza.
• His architectural style was dominated by the use of red sandstone with minimal marble inlay compared to his successors.
• Shah Alam II
• An 18th-century Mughal Emperor who reigned during a period of Mughal decline and the rising influence of the British East India Company.
• He did not commission the major structures within the Red Fort, as most were completed during the peak of the Mughal Empire.

The correct answer is Vallabhacharya.

Key Points

• Surdas was a legendary 16th-century blind devotional poet and musician known for his immense contribution to the Bhakti Movement in North India.
• He was a saguna devotee of Lord Krishna and composed his verses primarily in the Braj Bhasha dialect.
• His spiritual journey reached a turning point when he met the great philosopher and saint Vallabhacharya at Gau Ghat on the banks of the Yamuna River near Agra.
• Vallabhacharya, the founder of the Pushtimarg (Path of Grace) and the Shuddhadvaita (Pure Non-dualism) school of thought, initiated Surdas into his religious order.
• Before meeting his guru, Surdas primarily sang songs of vinaya (humility/pleading), but Vallabhacharya encouraged him to sing the lilas (divine plays) of Krishna, leading to the creation of the monumental work Sursagar.

 Additional Information

• Ashtachhap Poets:
• Surdas was the most prominent member of the Ashtachhap, a group of eight poets established by Vallabhacharya and his son Vitthalnath to perform kirtan at the Shrinathji Temple in Govardhan.
• Ramananda:
• A 14th-century saint who is credited with bringing the Bhakti movement from South to North India. He was the guru of Kabir, Ravidas, and Sena.
• Ramanujacharya:
• An 11th-century South Indian theologian and philosopher who propagated Vishishtadvaita (Qualified Non-dualism) and revitalized the Sri Vaishnavism tradition.
• Gyaneshwar:
• A 13th-century Marathi saint and philosopher of the Varkari tradition who wrote the Dnyaneshwari, a commentary on the Bhagavad Gita.

The correct answer is Total income divided by population.

Key Points

• Per Capita Income (PCI), also known as average income, is a fundamental economic metric used to measure the amount of money earned per person in a specific geographic area like a nation or city.
• It is calculated by taking the Total National Income of a country (often measured as Gross National Income or Net National Income) and dividing it by its Total Population.
• The concept is vital for determining the Standard of Living and the quality of life of the people in a country, as it helps identify the average individual's purchasing power.
• The World Bank utilizes this metric in its annual World Development Report to categorize countries into different economic groups such as Low-income, Lower-middle income, Upper-middle income, and High-income countries.
• In international comparisons, Per Capita Income is often adjusted for Purchasing Power Parity (PPP) to account for the differences in the cost of living and inflation rates across different nations.

 Additional Information

• Average family income:
• Refers to the Household Income, which is the combined gross income of all members of a household aged 15 and older. While relevant for micro-economic analysis, it does not represent the national average per person.
• Total income of a country:
• Commonly referred to as the Gross Domestic Product (GDP) or National Income. It represents the total value of all finished goods and services produced within a country's borders in a specific time period but does not account for the size of the population.
• Government income:
• Known as Public Revenue, this consists of money received by the government from various sources including Direct Taxes, Indirect Taxes (like GST), fines, fees, and dividends from Public Sector Undertakings (PSUs). It is used to fund public expenditure and Infrastructure Development.

The correct answer is Community service.

Key Points

• The Bharatiya Nyaya Sanhita (BNS), 2023, which replaced the colonial-era Indian Penal Code (IPC) of 1860, officially introduced Community Service as a distinct form of punishment under Section 4.
• This reformative measure is designed to address petty or minor offences, allowing the judiciary to penalize offenders without sentencing them to prison, thereby reducing jail overcrowding and preventing first-time offenders from mixing with hardened criminals.
• According to the BNS, community service is defined as work that the court orders a convict to perform for the benefit of the community, for which the offender is not entitled to any remuneration.
• Specific instances where this punishment can be applied include misconduct in public by a drunken person (Section 355), defamation, and attempt to commit suicide to compel or restrain a public servant from discharging their duty.
• In cases of theft where the value of the stolen property is less than 5,000 rupees and the offender is a first-time convict, the court has the discretion to award community service upon restitution of the property or value.

 Additional Information

• Bharatiya Nyaya Sanhita (BNS), 2023:
• It received Presidential assent on December 25, 2023, and officially came into force on July 1, 2024.
• The act streamlined the criminal code from 511 sections in the IPC to 358 sections in the BNS.
• Legal Framework for Punishment:
• The BNS lists six types of punishments: Death, Imprisonment for Life, Imprisonment (Rigorous or Simple), Forfeiture of Property, Fine, and Community Service.
• The implementation of community service is often supervised by a Magistrate or an officer designated by the State Government.

The correct answer is Liberalization.

Key Points

• Liberalization refers to the relaxation or removal of government-imposed restrictions on economic activities to promote a more market-oriented environment.
• It specifically involves the dismantling of trade barriers such as import licenses, quotas, and high tariffs that previously limited the participation of foreign entities in the domestic market.
• In the context of the Indian economy, liberalization was a core component of the New Economic Policy (NEP) launched in 1991 to tackle a severe balance of payments crisis.
• The process aimed to end the License Raj, allowing businesses to expand without bureaucratic hurdles and encouraging the flow of Foreign Direct Investment (FDI) and Foreign Institutional Investment (FII).
• By facilitating the ease of doing business, liberalization helps in the efficient allocation of resources, improves industrial productivity, and ensures greater choice for consumers through global competition.

 Additional Information

• Globalization:
• Describes the process of rapid integration or interconnection between countries through the movement of goods, services, and people.
• It is largely facilitated by advancements in information technology and transportation.
• Protectionism:
• An economic policy where governments use trade barriers like subsidies and restrictive quotas to shield domestic industries from foreign competition.
• It is often used to nurture infant industries or protect national security interests.
• Nationalization:
• The process of transferring privately owned assets or industries into public ownership under the control of the national government.
• A prominent example includes the nationalization of 14 major commercial banks in India in 1969.

The correct answer is Acts endangering the sovereignty, unity, and integrity of India..

Key Points

• Section 152 of the Bharatiya Nyaya Sanhita (BNS), 2023, specifically addresses offenses that threaten the sovereignty, unity, and integrity of India, effectively replacing the colonial-era Section 124A of the Indian Penal Code (IPC).
• The provision penalizes any individual who, purposely or knowingly, by words (spoken or written), signs, visual representation, electronic communication, or the use of financial means, excites or attempts to excite secession, armed rebellion, or subversive activities.
• It further covers acts that encourage feelings of separatist activities or any action that endangers the unity and integrity of the nation, shifting the legal focus from 'disaffection towards the government' to 'acts against the State'.
• The punishment under Section 152 includes imprisonment for life or imprisonment for a term which may extend to seven years, along with a mandatory fine.
• The Bharatiya Nyaya Sanhita was enacted to modernize Indian criminal law, and notably, the word sedition (Rajdroh) is not used in the new act; instead, it uses the framework of Deshdroh (acts against the nation).

 Additional Information

• Comparison with Section 124A (IPC):
• Scope: While Section 124A IPC focused on disaffection or hatred against the Government established by law, the BNS focuses on subversive activities and threats to the sovereignty of the Union of India.
• Modernization: The BNS explicitly includes electronic communication as a medium for committing such offenses, reflecting the impact of digital and social media in contemporary national security concerns.
• Terrorism: Unlike Section 152 which deals with sovereignty, Section 113 of the BNS specifically defines and penalizes Terrorist Acts for the first time in India's general criminal code.

The correct answer is A mix of financial, natural, human, and technological resources..

Key Points

• Balanced Regional Development (BRD) is a multi-dimensional concept aimed at reducing economic and social disparities between different geographical regions of a country.
• A holistic approach is required because reliance on a single factor like financial resources cannot yield sustainable growth; capital must be supported by skilled human labor and efficient technology to ensure productivity.
• Natural resources act as the foundational base for a region's industrial or agricultural potential, defining its comparative advantage in sectors like mining in Jharkhand or agriculture in Punjab.
• Human resources, developed through education and healthcare, are critical for local entrepreneurship and preventing the mass migration of talent to already developed metropolitan hubs.
• Technological resources bridge the gap between rural and urban sectors by improving connectivity, enhancing industrial automation, and facilitating the digital delivery of services.
• The integration of these four resources ensures that development is not just localized in tier-1 cities but reaches backward districts, fostering inclusive growth.

 Additional Information

• Constitutional and Policy Framework:
• NITI Aayog: Replaced the Planning Commission to promote Cooperative Federalism, allowing states to design their own development models based on specific resource availability.
• Aspirational Districts Programme: Launched in 2018 to transform the most underdeveloped districts by focusing on health, education, and basic infrastructure.
• Article 371: Provides special provisions for specific regions in states like Maharashtra, Gujarat, and Andhra Pradesh to address internal developmental imbalances.
• Drivers of Regional Growth:
• Infrastructure: Expansion of the National Highway network and Dedicated Freight Corridors to integrate remote regions into the national supply chain.
• Social Capital: Investments in Primary Health Centres (PHCs) and Skill Development Centers under the Pradhan Mantri Kaushal Vikas Yojana (PMKVY).

Concept:

• The Newton is the SI unit (International System of Units) of force.
• The Dyne is the CGS unit (Centimeter-Gram-Second) of force.
• Force is defined as the product of mass and acceleration according to Newton's Second Law of Motion.
• SI Unit: Newton (N) = 1 kg·m/s².
• Dimensional Formula: [M¹L¹T⁻²].
• Important Formula: Force = Mass × Acceleration.

Calculation:

Force = 1 Newton (N)

1 kg = 10³ g

1 m = 10² cm

1 Newton = 1 kg × 1 m/s²

⇒ 1 Newton = (10³ g) × (10² cm/s²)

⇒ 1 Newton = (10³ × 10²) g·cm/s²

⇒ 1 Newton = 10⁽³⁺²⁾ g·cm/s²

⇒ 1 Newton = 10⁵ g·cm/s²

Since 1 dyne = 1 g·cm/s²:

⇒ 1 Newton = 10⁵ dyne

Hence, 1 Newton is equivalent to 10⁵ dyne. Therefore, the correct option is (2).

The correct answer is Only Statement 1 is correct.

Key Points

• The Western Ghats, also known as the Sahyadri, run parallel to the western coast of India and act as a massive barrier to the moisture-laden Southwest Monsoon winds originating from the Arabian Sea. Due to their elevation and proximity to the sea, these mountains force the winds to rise, resulting in heavy orographic rainfall on the windward side, often exceeding 250 cm annually. Hence, Statement 1 is correct.
• The Eastern Ghats are significantly lower in elevation, discontinuous, and highly dissected by major peninsular rivers. They receive much less rainfall than the Western Ghats because they do not effectively obstruct the monsoon winds; most of their precipitation occurs during the Retreating Monsoon (October–November) rather than the main summer monsoon. Hence, Statement 2 is incorrect.

 Additional Information

• Western Ghats:
• They are recognized as a UNESCO World Heritage Site and one of the world’s eight hottest hotspots of biological diversity.
• The range stretches approximately 1,600 km through the states of Gujarat, Maharashtra, Goa, Karnataka, Kerala, and Tamil Nadu.
• The highest peak is Anamudi, located in Kerala.
• Eastern Ghats:
• They are an older mountain range compared to the Western Ghats and are composed of charnockites and khondalites.
• Major rivers like the Godavari, Krishna, Mahanadi, and Kaveri drain into the Bay of Bengal by cutting through this range.
• The average rainfall here ranges between 600 mm and 1,100 mm, which is significantly lower than the western counterpart.

The correct answer is The goal post distance is 7.32 m .

Key Points

• According to the Laws of the Game established by the International Football Association Board (IFAB) and enforced by FIFA, the distance between the inner edges of the vertical goal posts is exactly 7.32 meters (which is equivalent to 8 yards). Hence, the statement regarding the goal post distance being 7.32 m is correct.
• The height of the goal, measured from the ground to the lower edge of the horizontal crossbar, is standardized at 2.44 meters (equivalent to 8 feet). Hence, the statement that the goal post height is 2.14 m is incorrect.
• The measurement of 8.32 meters for the distance between posts does not correspond to any standard FIFA regulation for adult professional football. Hence, the statement that the goal post distance is 8.32 m is incorrect.
• Standard professional goal dimensions are fixed at a height of 2.44 meters, making the figure of 2.54 m inaccurate for official matches. Hence, the statement that the goal post height is 2.54 m is incorrect.

 Additional Information

• Structural Specifications of Football Goals:
• Post and Crossbar Width: Both the posts and the crossbar must have the same width and depth, which cannot exceed 12 centimeters (5 inches).
• Line Alignment: The goal line must be the same width as the goal posts and crossbar to ensure clear Goal-Line Technology accuracy.
• Safety Standards: Goals must be securely anchored to the ground; portable goals may only be used if they satisfy this safety requirement.
• Color and Shape: Goal posts and crossbars must be white and can be square, rectangular, round, or elliptical in shape.
• Netting: While not mandatory under the basic laws, nets are usually attached to the goals and the ground behind the goal, supported in a way that does not interfere with the goalkeeper.

The correct answer is Industrial licensing for most sectors..

Key Points

• The New Industrial Policy, announced on July 24, 1991, aimed at dismantling the License Raj to foster a more competitive and efficient industrial environment.
• A primary feature of this reform was the abolition of industrial licensing for all projects, regardless of investment levels, except for a short list of 18 industries related to security, strategic concerns, and social reasons.
• Before 1991, entrepreneurs required government permission (licenses) to start, relocate, or even expand the production capacity of a factory; the removal of these hurdles allowed for market-driven growth.
• Currently, the list of industries requiring compulsory licensing has been further pruned down to only five sectors, including aerospace and defense, industrial explosives, and hazardous chemicals.
• The reform also significantly reduced the role of the public sector, decreasing the number of industries reserved for it from 17 to just a few strategic sectors like atomic energy and railway transport.

 Additional Information

• Liberalization Measures:
• MRTP Act: The Monopolies and Restrictive Trade Practices Act was amended to remove the threshold limit of assets, eliminating the need for large houses to seek prior approval for expansion or mergers.
• Foreign Investment: The policy allowed for automatic approval of Foreign Direct Investment (FDI) up to 51% in high-priority industries, easing restrictions on foreign ownership.
• Deregulation: Many goods that were previously reserved for Small-Scale Industries (SSI) were gradually dereserved to allow larger firms to produce them, enhancing economies of scale.
• Price Controls: While the government moved away from price controls in many sectors, it did not remove them for 'all' prices; essentials like life-saving drugs and fertilizers often remain regulated.

The correct answer is Subtracting the earlier population from the later population.

Key Points

• The absolute increase in population is the actual number of people added to the total population during a specific timeframe, such as a decade.
• To calculate this value, the population figure from an earlier census is subtracted from the population figure of a later census; for example, subtracting the 2001 population from the 2011 population gives the absolute increase for that decade.
• This metric is fundamental in demography as it represents the net magnitude of increase in raw numbers, rather than a relative percentage or rate.
• In the Indian Census, calculating the absolute increase is vital for the government to determine the scale of infrastructure, healthcare, and educational facilities required for the additional citizens.

 Additional Information

• Population Density:
• Defined as the number of persons residing per unit of area, typically measured per square kilometer.
• It is calculated by dividing the total population by the total land area of a region.
• Annual Growth Rate:
• Refers to the pace of population increase expressed as a percentage per year.
• A growth rate of 2 percent per annum means there is an increase of two persons for every 100 persons in the base population.
• Components of Population Change:
• Birth Rate: The number of live births per 1,000 persons in a single year.
• Death Rate: The number of deaths per 1,000 persons in a single year.
• Migration: The movement of people across territories, which can be internal (within the country) or international (between countries).

The correct answer is Kathak.

Key Points

• Sitara Devi (1920–2014) was a legendary Indian dancer and a preeminent exponent of the classical dance form Kathak.
• She belonged to the Banaras Gharana of Kathak, which was revitalized by her father, Sukhadev Maharaj, a scholar and performer who broke social taboos by teaching dance to his children.
• At the age of 16, her exceptional talent was recognized by the Nobel laureate Rabindranath Tagore, who gave her the title 'Nritya Samragni', which translates to the Empress of Dance.
• Throughout her illustrious career, she received numerous accolades, including the Sangeet Natak Akademi Award in 1969, the Padma Shri in 1973, and the Kalidas Samman in 1994.
• She is also credited with introducing Kathak to the Indian film industry, performing and choreographing in movies like Watan (1938), Hulchul (1951), and the iconic Mother India (1957).

 Additional Information

• Kathak:
• It is one of the eight classical dances of India, originating in North India.
• The word is derived from Katha, meaning story, and practitioners are known as Kathakars.
• Key technical elements include Chakkars (pirouettes), intricate footwork, and the use of Ghungroos (bells).
• Mohiniyattam:
• A classical dance form from Kerala performed exclusively by women.
• It is known for its Lasya style, characterized by graceful, swaying movements and white-and-gold attire.
• Kuchipudi:
• Originating from the state of Andhra Pradesh, it is named after the village Kuchelapuram.
• It involves a unique balance of Nritya (dance) and Abhinaya (expression), often featuring a dancer performing on a brass plate.
• Manipuri:
• Hailing from the northeastern state of Manipur, it is also called Jagoi.
• The dance is deeply rooted in Vaishnavism and focuses on the Raslila, depicting the divine love between Radha and Krishna.

The correct answer is Studies of the structure and function of the ribosome.

Key Points

• Venkatraman Ramakrishnan, an Indian-born British-American structural biologist, was awarded the Nobel Prize in Chemistry in 2009 for his pioneering research into the atomic structure of the ribosome.
• He shared this prestigious honor with Thomas A. Steitz and Ada E. Yonath, collectively recognizing their work in mapping the ribosome at the atomic level.
• The ribosome is a complex molecular machine found within all living cells that serves as the site of biological protein synthesis (translation). It reads the genetic code from messenger RNA (mRNA) to assemble amino acids into proteins.
• Ramakrishnan utilized X-ray crystallography to determine the three-dimensional structure of the 30S subunit of the ribosome, providing critical insights into how the ribosome maintains high fidelity during the translation of genetic information.
• His research specifically elucidated how the ribosome recognizes the correct transfer RNA (tRNA) molecules, a process fundamental to the survival and function of every living organism.
• The discovery has had profound implications for medicine, particularly in the development of antibiotics, as many life-saving drugs function by binding to bacterial ribosomes and blocking their ability to produce essential proteins.

 Additional Information

• Discovery of catalytic RNA molecules:
• This area of research was awarded the 1989 Nobel Prize in Chemistry, given to Sidney Altman and Thomas R. Cech.
• They discovered that RNA is not just a passive carrier of genetic information but can also act as a biocatalyst, or ribozyme, performing chemical reactions previously thought to be exclusive to protein enzymes.
• Development of green chemistry techniques:
• While critical for sustainable development and reducing environmental impact, this field is associated with various researchers and the 12 Principles of Green Chemistry rather than the 2009 Nobel award to Ramakrishnan.
• Research on protein folding mechanisms:
• This field explores how amino acid chains fold into functional 3D shapes. Notable awards in this area include Christian Anfinsen’s 1972 Nobel Prize and more recent breakthroughs in computational biology.

The correct answer is Ada Yonath and Thomas Steitz.

Key Points

• The 2009 Nobel Prize in Chemistry was awarded jointly to Venkatraman Ramakrishnan, Thomas A. Steitz, and Ada E. Yonath for their pioneering studies on the structure and function of the ribosome.
• The ribosome is a complex molecular machine found within all living cells that serves as the site of biological protein synthesis (translation).
• These three scientists utilized X-ray crystallography to map the three-dimensional structure of the ribosome at the atomic level, specifically focusing on the 30S and 50S subunits.
• Venkatraman Ramakrishnan, an Indian-born structural biologist, conducted his award-winning research at the MRC Laboratory of Molecular Biology in Cambridge, UK.
• Thomas Steitz was based at Yale University, and Ada Yonath worked at the Weizmann Institute of Science in Israel; her contribution was particularly noted as she was the first woman to win the Chemistry Nobel in 45 years.
• Their work provided critical insights into how antibiotics bind to bacterial ribosomes, which has been fundamental in developing new drugs to fight antibiotic-resistant bacteria.

 Additional Information

• James Watson and Francis Crick:
• They are world-renowned for discovering the double-helix structure of DNA in 1953.
• They shared the Nobel Prize in Physiology or Medicine in 1962 with Maurice Wilkins.
• Jennifer Doudna and Emmanuelle Charpentier:
• They were awarded the Nobel Prize in Chemistry in 2020.
• Their breakthrough was the development of the CRISPR-Cas9 gene-editing technology, often described as genetic scissors.
• Linus Pauling and Dorothy Hodgkin:
• Linus Pauling won the Chemistry Nobel in 1954 for his work on chemical bonds and the Nobel Peace Prize in 1962.
• Dorothy Hodgkin won the Chemistry Nobel in 1964 for determining the structures of Vitamin B12 and Penicillin using X-ray techniques.

The correct answer is Both Statement I and Statement II are true..

Key Points

• The Gaud Maria (also popularly known as Gaur Maria) is a prominent ritualistic folk dance performed by the Bison-Horn Maria tribes of the Bastar district in Chhattisgarh. This dance is an integral part of their social fabric and is performed during significant life events such as births, marriages, and other major community festivals to invoke joy and celebrate togetherness. Hence, statement I is correct.
• The Moatsu Mong festival is the most significant community celebration of the Ao Naga tribe in Nagaland, observed annually during the first week of May. It is celebrated specifically after the completion of the arduous task of clearing the fields and the sowing of seeds in the Jhum (shifting) cultivation cycle, serving as a period of relaxation and prayer for a bountiful harvest. Hence, statement II is correct.

 Additional Information

• Gaud Maria Dance:
• The dance is named after the Gaur (Indian Bison), and the male performers wear a distinctive bamboo headgear adorned with actual bison horns and peacock feathers.
• Women participants carry Tirududi (iron rattles) and dance in circles, creating a rhythmic sound that complements the heavy beats of the drums played by the men.
• Moatsu Mong Festival:
• A primary ritual of this festival is Sangpangtu, where a massive fire is lit, and the community gathers around it in traditional attire to sing folk songs and perform warrior dances.
• The festival lasts for three days and is characterized by the exchange of gifts and the strengthening of bonds between different clans within the Ao community.

The correct answer is Monolithic pillars crowned with animal capitals.

Key Points

• The Ashokan Pillars are the most distinctive examples of Mauryan Court Art, representing the high point of stone masonry and aesthetic precision during the 3rd century BCE.
• These structures are strictly monolithic, meaning the long, tapering shafts were carved from a single block of buff-colored Chunar sandstone quarried from Mirzapur.
• The defining feature of these pillars is the Mauryan Polish, a unique, glass-like luster applied to the stone surface that remains a subject of scientific wonder due to its durability.
• Each pillar typically features a lotus-shaped capital (bell-shaped), an abacus (a decorative circular or rectangular base), and a crowning animal sculpture like the lion, bull, or elephant.
• The Lion Capital of Sarnath is the most famous example, featuring four back-to-back lions; it was adopted as the National Emblem of India on January 26, 1950.
• These pillars were used as pillars of Dhamma, bearing inscriptions of Emperor Ashoka’s edicts to promote social harmony and Buddhist principles throughout the Mauryan Empire.

 Additional Information

• Large hemispherical domes (stupas)
• While Ashoka is credited with building thousands of Stupas, including the core of the Great Stupa at Sanchi, they are primarily reliquary mounds and not as uniquely exclusive to his architectural innovation as the monolithic pillars.
• Monumental stone temples
• The tradition of monumental free-standing stone temples only fully developed during the Gupta Period (4th−6th century CE), far after the Mauryan era.
• Free-standing sculptures of Buddha
• In the Mauryan period, Buddha was represented through symbols (like feet or the Bodhi tree). Anthropomorphic Buddha sculptures emerged later in the Gandhara and Mathura schools of art during the Kushan Empire.

The correct answer is Potti Sriramulu.

Key Points

• Potti Sriramulu was a devoted humanitarian and a staunch follower of Mahatma Gandhi. Impressed by his dedication and self-discipline at the Sabarmati Ashram, Gandhi famously remarked that if he had only eleven more followers like Sriramulu, he could win freedom from British rule within a year.
• He earned high praise for his work regarding the upliftment of Dalits. In 1946, he undertook a fast for the entry of Harijans (Dalits) into the Venugopalaswamy Temple in Nellore, a move that Gandhi supported as a testament to Sriramulu's Satyagrahi spirit.
• He is best remembered for his ultimate sacrifice in 1952, when he undertook a fast-unto-death for 56 days demanding a separate state for Telugu-speaking people from the Madras Presidency. His martyrdom led to the formation of Andhra State in 1953.
• Known as Amarajeevi (The Immortal Being), his life was characterized by non-violence, simplicity, and an unwavering commitment to linguistic identity and social justice.

 Additional Information

• Subhas Chandra Bose
• Commonly known as Netaji, he led the Indian National Army (INA) and founded the All India Forward Bloc in 1939.
• Though Gandhi called him the Patriot of Patriots, they had significant ideological differences regarding the use of militant methods for independence.
• Lala Lajpat Rai
• Known as Punjab Kesari (The Lion of Punjab), he was a prominent leader of the Lal Bal Pal trio of the Indian National Congress.
• He died in 1928 following injuries sustained during a lathi charge while protesting against the Simon Commission.
• Bhagat Singh
• A revolutionary socialist who played a pivotal role in the Hindustan Socialist Republican Association (HSRA).
• He was executed in 1931 for his involvement in the Lahore Conspiracy Case and the bombing of the Central Legislative Assembly.

The correct answer is Harrod-Domar Model.

Key Points

• The First Five-Year Plan in India was launched for the duration of 1951 to 1956 by the government of Prime Minister Jawaharlal Nehru.
• This plan was primarily based on the Harrod-Domar Model, which emphasizes that economic growth depends on the level of savings and the capital-output ratio.
• The model posits that investment is the primary driver of growth; higher savings lead to higher investment, which increases the capital stock of the economy.
• The plan was formulated at a time when the Indian economy was struggling with the aftermath of partition, food shortages, and inflation.
• Consequently, the plan gave the highest priority to agriculture, irrigation, and power projects to ensure food security and rural development.
• Major multipurpose projects like the Bhakra-Nangal Dam, Hirakud Dam, and Damodar Valley Corporation were initiated during this period.
• The plan was a grand success as it achieved a growth rate of 3.6%, significantly exceeding the initial target of 2.1%.

 Additional Information

• Harrod-Domar Model:
• Developed by Roy F. Harrod (1939) and Evsey Domar (1946) to explain the relationship between growth and capital.
• It identifies three types of growth: warranted growth, natural growth, and actual growth.
• Solow-Swan Model:
• An exogenous growth model that analyzes changes in the level of output based on population growth, savings, and technological progress.
• Unlike Harrod-Domar, it assumes diminishing returns to labor and capital.
• Keynesian Model:
• Developed by John Maynard Keynes, it focuses on the role of aggregate demand and government intervention to manage economic cycles.
• Mahalanobis Model:
• Formulated by Prasanta Chandra Mahalanobis, this model served as the basis for the Second Five-Year Plan (1956-61).
• It shifted the focus toward heavy industries and capital goods to achieve long-term industrial self-reliance.

The correct answer is Justice, Liberty, Equality, Fraternity.

Key Points

• The Preamble serves as the introductory statement of the Constitution of India, setting out the guiding purpose and principles of the document.
• The first objective mentioned is Justice, which is categorized into three distinct forms: Social, Economic, and Political.
• The second objective is Liberty, which specifically ensures freedom of thought, expression, belief, faith, and worship for all citizens.
• The third objective is Equality, which focuses on providing equality of status and opportunity while striving to promote it among all individuals.
• The final objective listed is Fraternity, which aims to promote brotherhood and assure the dignity of the individual and the unity and integrity of the nation.
• The sequence follows the exact chronological appearance of these terms in the text of the Preamble, starting with Justice and ending with Fraternity.

 Additional Information

• The Preamble is based on the Objectives Resolution, which was drafted and moved by Pandit Jawaharlal Nehru on December 13, 1946, and adopted by the Constituent Assembly.
• Historical Context and Amendments:
• The 42nd Constitutional Amendment Act of 1976 is the only amendment made to the Preamble so far.
• This amendment added three new words: Socialist, Secular, and Integrity.
• The ideals of Liberty, Equality, and Fraternity in the Indian Constitution were borrowed from the French Revolution.
• The concept of Justice (Social, Economic, and Political) was inspired by the Russian Revolution of 1917.
• The Supreme Court, in the Kesavananda Bharati case (1973), held that the Preamble is an integral part of the Constitution.

The correct answer is Maharajadhiraja.

Key Points

• Chandragupta I was a major king of the Gupta Empire who ruled from approximately 319 CE to 335 CE.
• He was the first ruler of the dynasty to adopt the grand imperial title of Maharajadhiraja, which literally translates to King of Great Kings.
• This title signified his status as a sovereign monarch, distinguishing him from his predecessors, Sri Gupta and Ghatotkacha, who were only referred to as Maharaja.
• His rise to power was significantly bolstered by his marriage to Kumaradevi, a princess from the influential Lichchhavi clan of Vaishali.
• The Gupta Era is traditionally believed to have commenced with his coronation in 319-320 CE, marking the beginning of the Golden Age of Indian history.
• He issued special gold coins, known as the Chandragupta-Kumaradevi type, which featured the images of both the king and his queen, showcasing the political importance of their alliance.

 Additional Information

• Other historical titles mentioned in the options include:
• Rajaraja: This title is most prominently associated with Rajaraja Chola I, a powerful ruler of the Chola Dynasty in South India who reigned from 985 to 1014 CE.
• Chhatrapati: A title used by the Maratha sovereigns, most famously adopted by Shivaji Maharaj during his formal coronation at Raigad Fort in 1674.
• Samrat: While a general term for an emperor, it is often used in ancient texts like the Aitareya Brahmana to describe a ruler of the East; it was also a title associated with Ashoka the Great of the Maurya Empire.

The correct answer is Cartographic mapping.

Key Points

• The CMS-03 (also interpreted within specific mission frameworks as a successor to high-resolution imaging series) is primarily designed to enhance India's Cartographic mapping capabilities through advanced Earth observation technology.
• The satellite is equipped with state-of-the-art panchromatic and multispectral cameras, allowing for the collection of high-resolution spatial data necessary for detailed topographic maps.
• Its primary purpose involves facilitating Large-scale Urban Planning, infrastructure monitoring, and the precise identification of property boundaries in cadastral surveys.
• The data generated by this satellite is instrumental in creating high-accuracy Digital Elevation Models (DEM), which are crucial for engineering, irrigation projects, and disaster management strategies.
• By providing real-time geospatial data, the mission supports the National Spatial Data Infrastructure (NSDI), helping in the effective management of land and water resources across various terrains.

 Additional Information

• Communication services:
• Satellites in this category, such as the GSAT series, focus on telecommunications, Direct-to-Home (DTH) broadcasting, and VSAT connectivity.
• They typically operate in C-band, Extended C-band, and Ku-band frequencies to provide pan-India coverage.
• Climate monitoring:
• Missions like INSAT-3DR and SCATSAT-1 are dedicated to meteorological observations, ocean surface wind vectors, and monitoring cyclogenesis.
• These satellites use specialized sensors like radiometers and sounders to track atmospheric changes and global warming trends.
• Cosmic research:
• This involves dedicated space observatories like Astrosat, which are designed to study celestial sources in multi-wavelength spectra including X-ray and Ultraviolet bands.
• Such missions help in understanding the evolution of the universe, black holes, and neutron stars.

The correct answer is Dual-frequency (L & S) SAR with 12m reflector.

Key Points

• NISAR stands for NASA-ISRO Synthetic Aperture Radar, which is a joint Earth-observation mission between the National Aeronautics and Space Administration (NASA) of the United States and the Indian Space Research Organisation (ISRO).
• The primary imaging payload of the mission is a Dual-frequency Synthetic Aperture Radar (SAR) system that operates in both the L-band (provided by NASA) and the S-band (provided by ISRO).
• It features a massive 12-meter deployable mesh reflector antenna, which is designed to provide high-resolution data over a wide swath of the Earth's surface.
• The L-band radar (wavelength ≈ 24 cm) is capable of penetrating dense forest canopies to study biomass, while the S-band radar (wavelength ≈ 12 cm) is sensitive to light vegetation and surface roughness.
• SAR is an active sensing technology that can produce high-resolution images regardless of weather conditions (clouds, fog) or the time of day (darkness).
• The mission aims to measure Earth's changing ecosystems, dynamic surfaces, and ice masses, providing insights into climate change and natural hazards.

Additional Information

• NASA's Contribution: NASA provides the L-band SAR, the 12m deployable mesh reflector, a high-rate communication subsystem for science data, GPS receivers, and a solid-state recorder.
• ISRO's Contribution: ISRO provides the S-band SAR, the spacecraft bus, the GSLV Mark II launch vehicle, and the launch operations.
• Comparison with Optical Sensors: Unlike multispectral optical imagers (mentioned in other options), which depend on reflected sunlight and are blocked by clouds, NISAR's radar can 'see' through atmospheric obstructions to monitor changes continuously.
• Applications: The data will be used to track crustal deformation from earthquakes or volcanoes, monitor groundwater levels, and observe the flow rates of glaciers and ice sheets.

The correct answer is Flesh.

Key Points

• David Szalay, a Canadian-British author known for his intricate character studies and fragmented narratives, was awarded the 2025 Booker Prize for his novel titled Flesh.
• The novel was recognized by the judging panel for its unflinching exploration of the biological reality of human life, focusing on the physicality and vulnerability of the body in the modern era.
• Winning the Booker Prize, the most prestigious award for English-language fiction published in the United Kingdom and Ireland, grants the author a £50,000 prize and significant international acclaim.
• Szalay's victory in 2025 follows his previous recognition in the literary world, most notably his 2016 shortlisting for All That Man Is, cementing his status as a leading voice in contemporary realist fiction.
• The narrative structure of Flesh continues Szalay's trademark style of connecting disparate lives through shared existential themes, this time focusing on mortality and the material nature of existence.

 Additional Information

• Orbital:
• Written by Samantha Harvey, this space-set novella was the winner of the 2024 Booker Prize.
• It was noted for being one of the shortest novels to ever win the award, focusing on a single day aboard the International Space Station.
• Prophet Song:
• Authored by Paul Lynch, this novel won the 2023 Booker Prize.
• It is a dystopian fiction set in a near-future Ireland that has descended into totalitarianism and civil unrest.
• The Safekeep:
• A debut novel by Yael van der Wouden which was shortlisted for the 2024 Booker Prize.
• The story is set in the post-WWII Netherlands and explores themes of guilt, desire, and historical trauma.

The correct answer is Human smuggling networks.

Key Points

• Jason De León is a prominent anthropologist, MacArthur Fellow, and professor at UCLA who specializes in the study of clandestine migration and border politics.
• His book, 'Soldiers and Kings: Survival and Hope in the World of Human Smuggling' (2024), is a longitudinal ethnography that spent nearly eight years documenting the lives of those involved in the illicit migration industry.
• The investigation focuses on coyotes, the individuals who facilitate the movement of undocumented migrants across international borders, specifically from Central America through Mexico and into the United States.
• De León provides an intimate look at the socio-economic motivations, daily struggles, and the violent hierarchies that define these human smuggling networks, moving beyond traditional stereotypes to show the human complexity of the actors involved.
• The work highlights how militarized border enforcement and restrictive immigration policies have created a lucrative market for professional smugglers, often pushing migrants into the hands of organized crime.

 Additional Information

• Contextual Background:
• The Land of Open Graves: Before 'Soldiers and Kings', De León authored this critically acclaimed book which analyzed the United States' policy of 'Prevention Through Deterrence' and its impact on migrant deaths in the Sonoran Desert.
• Undocumented Migration Project: This is a long-term archaeological and anthropological study founded by De León to research the material culture of migration along the U.S.-Mexico border.
• Awards and Recognition: 'Soldiers and Kings' was a finalist for the 2024 National Book Award for Nonfiction, cementing its status as a definitive academic and literary work on the global migration crisis.
• Northern Triangle: Much of the human movement discussed in De León's work originates from Honduras, Guatemala, and El Salvador, driven by extreme poverty and gang violence.

The correct answer is The Paradise of Food.

Key Points

• The novel The Paradise of Food, authored by Khalid Jawed, was awarded the JCB Prize for Literature in 2022.
• Originally written in Urdu under the title Ne'mat Khana in 2014, it was translated into English by Baran Farooqi.
• The book is a profound saga spanning fifty years, chronicling the life of a protagonist named Hafeez and his complex relationship with his family, framed through the setting of a kitchen.
• It made history by becoming the first Urdu language work to win this prestigious award since its inception in 2018.
• The jury praised the book for its unique use of food as a metaphor to explore themes of hunger, mortality, and the human condition within a middle-class household.
• The JCB Prize includes a cash reward of Rs 25 lakh for the author and an additional Rs 10 lakh for the translator.

 Additional Information

• Tomb of Sand:
• Written by Geetanjali Shree and translated by Daisy Rockwell, this novel (originally Ret Samadhi) won the International Booker Prize in 2022.
• It was the first book in any Indian language to win the International Booker Prize.
• The Seven Moons of Maali Almeida:
• A supernatural satire written by Sri Lankan author Shehan Karunatilaka.
• It was awarded the Booker Prize in 2022 for its vivid portrayal of the Sri Lankan Civil War through a ghost's perspective.
• Spirit Nights:
• Written by Easterine Kire, this novel was part of the shortlist for the JCB Prize for Literature in 2022 alongside Khalid Jawed’s winning entry.

The correct answer is To control and regulate the affairs of the East India Company.

Key Points

• The Regulating Act of 1773 was a landmark legislation passed by the British Parliament intended to manage and monitor the activities of the East India Company (EIC), which had acquired vast territorial powers in India.
• It was the first major step taken by the British Government to exercise control over the Company's administration and recognized, for the first time, its political and administrative functions beyond mere commerce.
• The act aimed to address the financial mismanagement of the Company and the widespread corruption among its officials, which had led the EIC to the brink of bankruptcy despite its territorial gains.
• It laid the foundations of a centralized administration in India by making the Presidencies of Bombay and Madras subordinate to the Governor-General of Bengal in certain matters of war and peace.

 Additional Information

• Structural and Judicial Reforms:
• The act renamed the Governor of Bengal as the Governor-General of Bengal and appointed Lord Warren Hastings as the first incumbent.
• An Executive Council consisting of four members was established to assist the Governor-General, who had no power to veto the majority decision.
• A Supreme Court of Judicature was established at Fort William, Calcutta, in 1774, comprising one Chief Justice (Sir Elijah Impey) and three other judges.
• The Court of Directors was required to submit all reports regarding the civil, military, and revenue affairs of India to the British Treasury and Secretary of State.
• The act strictly prohibited Company servants from participating in any private trade or accepting presents and bribes from the Indian population to ensure administrative integrity.

The correct answer is Property Cards.

Key Points

• The SVAMITVA (Survey of Villages Abadi and Mapping with Improvised Technology in Village Areas) scheme is a Central Sector Scheme launched by the Ministry of Panchayati Raj.
• It aims to provide an integrated property validation solution for rural India by demarcating inhabited (Abadi) land parcels using modern Drone technology.
• The primary outcome of this scheme is the issuance of Property Cards (also known as Svamitva Cards or Title Deeds) to every property owner in rural areas, which serves as an official Record of Rights.
• As of recent implementation phases, the scheme targets mapping approximately 6.62 lakh villages across the country between 2020 and 2025.
• The issuance of these cards enables rural citizens to use their property as a financial asset for obtaining bank loans and other financial benefits, thereby promoting economic stability.

 Additional Information

• Gram Sabha Resolution:
• This refers to a formal decision or collective agreement made by the members of the Gram Sabha regarding village developmental activities or administrative matters.
• While it is a powerful tool for local self-governance, it does not serve as a legal individual property ownership document under the SVAMITVA framework.
• Agricultural Land Passbook:
• These are traditional documents used primarily for agricultural land records to track landholdings, crop details, and khasra numbers.
• The SVAMITVA scheme specifically addresses the residential (Abadi) areas of the village, which were historically not surveyed or documented in many states.
• Scheme Launch and Technology:
• The scheme was launched on April 24, 2020, coinciding with National Panchayati Raj Day.
• It utilizes Continuously Operating Reference Stations (CORS) networks to provide centimeter-level accuracy in Geo-referencing and land mapping.

The correct answer is Javo khir Sindarov.

Key Points

• The 2025 FIDE Chess World Cup was the 11th edition of the tournament, held from 31 October to 27 November 2025 in Goa, India.
• Uzbek grandmaster Javokhir Sindarov (spelled in the options as Javo khir Sindarov) emerged victorious, claiming the championship after defeating the Chinese grandmaster Wei Yi in the finals.
• At just 19 years of age, Sindarov made chess history by becoming the youngest player ever to win the FIDE World Cup.
• The high-stakes final ended in classical draws, forcing the players into rapid tiebreaks, where Sindarov triumphed with a 1.5−0.5 score to secure the title and the $120,000 first prize.
• This historical win qualified Javokhir Sindarov directly for the 2026 FIDE Candidates Tournament.

 Additional Information

• Wei Yi:
• He is a prominent grandmaster from China who finished as the runner-up of the 2025 FIDE World Cup.
• By reaching the finals, he also earned direct qualification for the prestigious 2026 Candidates Tournament.
• Andrey Esipenko:
• He competed under the FIDE flag and secured the third-place finish in the tournament.
• Esipenko defeated Nodirbek Yakubboev with a 2−0 score in the classical matches of the third-place playoff, capturing the final qualification spot for the 2026 Candidates Tournament.
• Nodirbek Yakubboev:
• He is an elite Uzbek grandmaster who reached the semi-finals of the 2025 FIDE World Cup.
• He finished in fourth place after losing the third-place match to Andrey Esipenko.

The correct answer is Uzbekistan.

Key Points

• Javokhir Sindarov is a world-renowned chess Grandmaster who represents the nation of Uzbekistan in international tournaments.
• He achieved the prestigious Grandmaster (GM) title in October 2018 at the remarkably young age of 12 years, 10 months, and 5 days.
• Upon earning his title, he was recognized as the second-youngest person in history at that time to become a Grandmaster, surpassed only by Sergey Karjakin.
• Sindarov played a pivotal role as a member of the Uzbekistan National Team during the 44th Chess Olympiad held in Chennai, India, in 2022.
• During this Olympiad, he helped lead Uzbekistan to a historic Gold Medal finish in the Open section, marking a major milestone for Central Asian chess.
• He is a key figure in what is often called the Golden Generation of Uzbek chess, characterized by a group of highly talented young prodigies competing at the highest FIDE levels.

 Additional Information

• Uzbekistan Chess Federation and Achievements:
• The country has seen a massive surge in chess popularity, following the success of players like Rustam Kasimdzhanov, a former FIDE World Champion.
• In addition to Sindarov, the Uzbekistan team features Nodirbek Abdusattorov, who became the youngest World Rapid Chess Champion in 2021.
• The 2022 Olympiad victory was particularly notable as the Uzbek team remained undefeated throughout the entire tournament, facing top-tier teams from India, USA, and Armenia.
• The Grandmaster title is awarded by FIDE (Federation Internationale des Echecs) to players who achieve three title norms and a FIDE Elo rating of at least 2500.

The correct answer is ¡GOT-Karmayogi.

Key Points

• The National Programme for Civil Services Capacity Building (NPCSCB), also known as Mission Karmayogi, was approved by the Union Cabinet on September 2, 2020.
• The ¡GOT-Karmayogi platform serves as the digital backbone of the mission, acting as an online marketplace where various departments and training institutions can provide high-quality capacity-building content.
• It is designed to transition the Indian civil service from a rules-based to a roles-based human resource management system, focusing on matching an official's competencies to the requirements of their post.
• The platform targets approximately 4.6 million central government employees and is expected to eventually cover state-level officials, providing anytime-anywhere-any-device learning.
• The governance of the platform is managed by Karmayogi Bharat, a government-owned Special Purpose Vehicle (SPV) established under Section 8 of the Companies Act, 2013, specifically for this purpose.

 Additional Information

• DIKSHA Platform:
• Stands for Digital Infrastructure for Knowledge Sharing; it is a national platform for school education under the Ministry of Education.
• It provides e-content for teachers and students across various Indian languages and curriculum frameworks like NCERT.
• Digital India Learning Hub:
• This is a portal associated with NeGD (National e-Governance Division) and MeitY, providing certification and courses focused on Information Technology and digital literacy.
• e-Governance Portal:
• A generic term for platforms like India.gov.in or specific state portals that facilitate Government-to-Citizen (G2C) and Government-to-Business (G2B) service delivery.

The correct answer is 10.

Key Points

• Deendayal Antyodaya Yojana- National Rural Livelihoods Mission (DAY-NRLM) was launched by the Ministry of Rural Development (MoRD), Government of India, in June 2011 to promote poverty reduction through building strong institutions for the poor.
• The mission aims at mobilizing all rural poor households into Self Help Groups (SHGs) to provide them with sustainable livelihood opportunities and improved access to financial services.
• As per the official guidelines of DAY-NRLM, a typical Self Help Group (SHG) should consist of a group of 10 to 20 members, primarily women from rural poor households.
• The core philosophy is based on the premise that the poor have innate capabilities and a strong desire to come out of poverty, which can be harnessed through social mobilization and institutional building.
• The requirement of 10 members ensures that the group is large enough to be viable for internal lending and collective activities, yet small enough to maintain close bonding and mutual trust. Therefore, Option 3 is correct.

 Additional Information

• Program Evolution:
• The program was originally launched as Aajeevika - NRLM and was later renamed Deendayal Antyodaya Yojana (DAY-NRLM) in November 2015.
• It replaced the earlier Swarnajayanti Gram Swarozgar Yojana (SGSY) to shift from a target-driven to a demand-driven strategy.
• Special Relaxations:
• In difficult areas such as hills, deserts, and sparsely populated tribal tracts, or for groups comprising Persons with Disabilities (PwDs), the minimum number of members can be relaxed to 5.
• Financial Support:
• Revolving Fund (RF): A sum of Rs. 10,000 to Rs. 15,000 is provided to SHGs that have practiced Panchasutras (Regular meetings, Regular savings, Regular inter-loaning, Regular timely repayment, and Regular bookkeeping).
• Community Investment Fund (CIF): A corpus is provided to federations to provide loans to members for diverse livelihood needs.

The correct answer is 38th.

Key Points

• India has secured the 38th rank in the Global Innovation Index (GII) 2025, marking a significant milestone in its journey toward becoming a global innovation hub.
• The country has shown consistent improvement, rising from the 39th position in 2024 and the 40th position in 2023, reflecting a robust growth trajectory in the science and technology sectors.
• India continues to lead the Central and Southern Asia region, maintaining its dominance for over a decade due to its high performance in innovation outputs.
• The Global Innovation Index is an annual ranking published by the World Intellectual Property Organization (WIPO), evaluating 133 economies based on their innovation capabilities and results.
• India also holds the 1st rank among lower-middle-income group economies, showcasing that its innovation performance is significantly higher than its expected level of economic development.

 Additional Information

• Evolution of Rank:
• India’s rise has been meteoric, climbing from the 81st rank in 2015 to the 38th rank in 2025.
• This progress is attributed to government initiatives such as Startup India, Atmanirbhar Bharat, and the National Education Policy 2020.
• GII Framework:
• The index uses 80 indicators divided into Innovation Inputs (Institutions, Human Capital and Research, Infrastructure, Market Sophistication, and Business Sophistication) and Innovation Outputs (Knowledge and Technology Outputs, and Creative Outputs).
• India excels specifically in ICT services exports, venture capital receipt, and the number of science and engineering graduates.
• WIPO:
• Headquartered in Geneva, Switzerland, WIPO is a specialized agency of the United Nations that promotes the protection of intellectual property worldwide.

The correct answer is World Intellectual Property Organization.

Key Points

• The acronym WIPO stands for the World Intellectual Property Organization, which is one of the 15 specialized agencies of the United Nations (UN).
• It was established on July 14, 1967, following the entry into force of the WIPO Convention, with the mandate to promote the protection of intellectual property (IP) throughout the world.
• The organization acts as a global forum for intellectual property services, policy, information, and cooperation, ensuring that the rights of creators and owners are protected internationally.
• It succeeded the BIRPI (United International Bureaux for the Protection of Intellectual Property), which had been established in 1893 to administer the Paris Convention and the Berne Convention.

 Additional Information

• Organizational Structure and Governance:
• Headquarters: The organization is headquartered in Geneva, Switzerland.
• Membership: As of the current period, WIPO has 193 member states, making it a nearly universal international body.
• Leadership: The organization is led by a Director General, currently Daren Tang, who took office in 2020.
• Core Functions and Treaties:
• Treaty Administration: It administers 26 international treaties that deal with various aspects of intellectual property protection.
• Global IP Services: WIPO manages the Patent Cooperation Treaty (PCT) for patents, the Madrid System for trademarks, and the Hague System for industrial designs, allowing users to seek protection in multiple countries through a single application.
• Development Agenda: It provides technical assistance to developing countries to help them build their IP legal frameworks and infrastructure to encourage local innovation.

The correct answer is Vulnerable.

Key Points

• The Dugong (Dugong dugon), commonly referred to as the sea cow, is a large marine mammal and the only strictly herbivorous marine mammal in existence.
• According to the IUCN (International Union for Conservation of Nature) Red List, the global conservation status of the Dugong is categorized as Vulnerable.
• This status is attributed to a declining population trend caused by the widespread loss and degradation of seagrass meadows, which serve as their primary food source.
• Other significant anthropogenic threats include bycatch in fishing nets, coastal development, marine pollution, and illegal hunting in certain regions.
• Dugongs have a low reproductive rate, often producing only one calf every three to seven years, which makes their population recovery extremely slow after any decline.

 Additional Information

• Distribution and Habitat:
• They are found in the warm coastal waters of the Indo-West Pacific, spanning approximately 40 countries from East Africa to Vanuatu.
• The largest remaining populations are currently found in the coastal waters of Northern Australia and the Arabian Gulf.
• Conservation in India:
• In India, Dugongs are found in the Gulf of Mannar, Palk Bay, Gulf of Kutch, and the Andaman and Nicobar Islands.
• The species is protected under Schedule I of the Wildlife (Protection) Act, 1972, which provides the highest level of legal protection in the country.
• India notified its first Dugong Conservation Reserve in the Palk Bay region of Tamil Nadu in 2021 to prevent the extinction of the species in Indian waters.
• Morphology:
• Dugongs are distinguished from manatees by their fluked, dolphin-like tail and their downward-turned snout adapted for grazing on the seabed.

The correct answer is Services Sports Control Board.

Key Points

• The 38th edition of the National Games was hosted by the state of Uttarakhand in 2025, featuring athletes from all states, union territories, and the Services Sports Control Board (SSCB).
• The Services Sports Control Board (SSCB) secured the top position in the final medal tally, continuing its historical dominance in the multi-sport event.
• By finishing at the top of the standings, SSCB was awarded the prestigious Raja Bhalindra Singh Trophy, which is presented to the overall champions of the National Games.
• The contingent, representing the Indian Armed Forces, excelled primarily in disciplines such as Boxing, Rowing, Archery, and Athletics, outperforming major sporting states like Maharashtra and Haryana.
• The 38th National Games involved events across various cities in Uttarakhand, including Dehradun, Haldwani, and Rishikesh, highlighting the infrastructure development in the Himalayan state.

 Additional Information

• Services Sports Control Board (SSCB):
• It is a sports board run by the Indian Armed Forces (Army, Navy, and Air Force).
• It was established in 1919 as the Army Sports Control Board and later reconstituted.
• The board has a legacy of producing Olympians and Asian Games medalists for India due to its rigorous training programs and world-class facilities.
• Maharashtra and Haryana:
• Maharashtra, which topped the 37th National Games (Goa 2023), remained a top contender in 2025, particularly in Swimming and Gymnastics.
• Haryana maintained its reputation as a powerhouse in Wrestling and Kabaddi, consistently finishing in the top three of the overall medal tally.

The correct answer is Women's 4x100 metre relay.

Key Points

• The 2025 Asian Athletics Championships, which marked the 26th edition of this premier track and field event, was hosted from 27 to 31 May 2025 in Gumi, South Korea.
• The Indian women's sprinting contingent secured a prestigious silver medal in the highly competitive Women's 4x100 metre relay event.
• The squad, comprising Srabani Nanda, Abinaya Rajarajan, S.S. Sneha, and Nithya Gandhe, clocked a commendable finishing time of 43.86 seconds.
• The Chinese team clinched the gold medal with a time of 43.28 seconds, while Thailand claimed the bronze medal in the same event.

 Additional Information

• Men's 1500 metre race:
• Indian army middle-distance runner Yoonus Shah clinched the bronze medal with a timing of 3:43.03 seconds.
• Women's 400 metre hurdles:
• Indian athlete Vithya Ramraj won the bronze medal in this challenging technical race, crossing the finish line with a strong performance.
• Men's 4x100 metre relay:
• A premier sprint relay event where four runners each sprint a distance of 100 metres; India did not win a medal in this category at this edition of the championships.

The correct answer is Indian Army.

Key Points

• Neeraj Chopra, India's premier Javelin Thrower and Olympic Gold Medalist, is a serving personnel in the Indian Army.
• He was initially enrolled into the 4 Rajputana Rifles as a Naib Subedar in 2016 under the sports quota, recognizing his immense potential in athletics.
• Following his historic achievement of winning the Gold Medal at the Tokyo 2020 Olympics, he was honored for his contribution to Indian sports within the military hierarchy.
• While he serves as a Junior Commissioned Officer (JCO) and was promoted to the rank of Subedar Major in 2024, the Indian Army frequently confers honorary ranks and promotions to its sports icons to celebrate international success.
• The Indian Army has a rich tradition of nurturing athletes through its Mission Olympic Wing, providing world-class training facilities and career security to athletes like Chopra.
• He is the first Indian track and field athlete to win an Olympic Gold and a World Athletics Championship Gold, bringing immense pride to the Indian Armed Forces.
• Therefore, the correct choice is the Indian Army as the force with which Neeraj Chopra is officially affiliated.

 Additional Information

• Indian Air Force:
• The Indian Air Force (IAF) has conferred honorary ranks on legendary sports personalities, most notably Sachin Tendulkar, who holds the rank of Group Captain.
• Indian Navy:
• The Indian Navy also recruits and honors athletes; however, Neeraj Chopra is not associated with this branch.
• Rajputana Rifles:
• It is the oldest Rifle Regiment of the Indian Army, known for its bravery and numerous gallantry awards, and is the regiment to which Neeraj Chopra belongs.
• Honorary Ranks in Territorial Army:
• Other icons like Mahendra Singh Dhoni and Abhinav Bindra were conferred the honorary rank of Lieutenant Colonel in the Territorial Army, which is a part of the Indian Army.

The correct answer is Kanad Das.

Key Points

• Dr. Kanad Das took charge as the 13th Director of the Botanical Survey of India (BSI) in September 2025, succeeding Dr. A. A. Mao.
• He achieved a historical milestone by becoming the first mycologist (a specialist in the study of fungi) to head the 135-year-old premier research organization since its establishment.
• Prior to his appointment as Director, he served as a senior scientist at the BSI headquarters in Kolkata, where he specialized in the taxonomy and phylogeny of macrofungi.
• Dr. Das is widely recognized for his extensive field explorations in the Himalayan regions and the Western Ghats, having discovered and described numerous new species of mushrooms and truffles previously unknown to science.
• His appointment signifies a broadening of the institute’s focus toward cryptogamic botany, specifically addressing the vast and often overlooked fungal diversity of the Indian subcontinent.

 Additional Information

• Botanical Survey of India (BSI):
• Founded on February 13, 1890, it functions under the Ministry of Environment, Forest and Climate Change (MoEFCC).
• It is headquartered in Kolkata and is responsible for surveying and documenting the plant resources of India, maintaining various herbariums and botanical gardens.
• Other Candidates and Entities:
• A. A. Mao: A distinguished scientist specializing in Plant Tissue Culture and Orchidology, who served as the 12th Director of the BSI before retiring in 2025.
• Rakesh Sharma: A former Indian Air Force pilot who became the first Indian citizen to travel into space in 1984 aboard the Soviet Soyuz T-11 mission.
• Shubhanshu Shukla: A Wing Commander in the IAF selected as the primary astronaut for the Axiom-4 mission to the International Space Station (ISS), part of the ISRO-NASA joint spaceflight collaboration.

Therefore, the correct option is 3.

The correct answer is Vandana Gupta.

Key Points

• Vandana Gupta, a senior officer of the Indian P&T Accounts and Finance Service (IP&TAFS), officially took over the charge of the Controller General of Communication Accounts (CGCA) in September 2025.
• The CGCA functions as the apex authority for the accounting and financial management of the Department of Telecommunications (DoT) and the Department of Posts under the Ministry of Communications.
• In this capacity, she oversees the collection and verification of massive non-tax revenues, specifically License Fees and Spectrum Usage Charges (SUC), which contribute significantly to the Consolidated Fund of India.
• The role is critical for the implementation of the SAMPANN (System for Accounting and Management of Pension) software, which ensures direct and timely pension disbursement to DoT and Postal retirees across the nation.
• Her appointment involves leading the nationwide network of Controllers of Communication Accounts (CCA) offices, ensuring financial discipline and regulatory compliance within the rapidly evolving telecom sector.

 Additional Information

• Controller General of Communication Accounts (CGCA):
• Organizational Structure: It is an attached office of the Department of Telecommunications located at NICF Campus, New Delhi.
• Revenue Oversight: It monitors revenue from Telecom Service Providers (TSPs) and manages the Universal Service Obligation Fund (USOF) to facilitate rural connectivity.
• Pension Management: Operates as the central nodal agency for settlement of retirement benefits for nearly 4.5 lakh pensioners.
• Relevant Entities in Options:
• IP&TAFS: An organized Group A Civil Service responsible for the financial administration of India's communications infrastructure.
• A. A. Mao: Known primarily as the Director of the Botanical Survey of India (BSI), specializing in plant taxonomy and conservation.
• Anant Goenka: A prominent figure in the Indian corporate sector, specifically associated with CEAT Limited and the RPG Group.

The correct answer is The State Legislative Assembly.

Key Points

• According to Article 164(2) of the Constitution of India, the Council of Ministers shall be collectively responsible to the Legislative Assembly of the State.
• The principle of Collective Responsibility implies that the entire ministry functions as a cohesive unit; if the State Legislative Assembly passes a No-Confidence Motion against the Council, the entire ministry, including the Chief Minister, must resign.
• This provision ensures the Executive remains subservient to the Legislature, specifically the popular house whose members are directly elected by the citizens of that state.
• The accountability is specific to the Lower House (Vidhan Sabha); even if a minister is a member of the State Legislative Council (Vidhan Parishad), they remain collectively accountable to the Assembly.

 Additional Information

• Article 163: Mandates a Council of Ministers with the Chief Minister as the head to aid and advise the Governor, except in matters where the Governor acts in his discretion.
• Individual Responsibility:
• Under Article 164(1), ministers hold office during the pleasure of the Governor. This means the Governor can dismiss a minister on the advice of the Chief Minister, representing individual accountability.
• Comparison with the Union:
• The state structure mirrors the Parliamentary System at the Center, where Article 75(3) makes the Union Council of Ministers collectively responsible to the Lok Sabha (House of the People).
• The Governor: While the Governor is the Constitutional Head of the state and appoints the ministers, the cabinet does not answer to him for its policy decisions and legislative actions.

The correct answer is 6 years or until age 65.

Key Points

• The Comptroller and Auditor General (CAG) of India is an independent authority established under Article 148 of the Constitution of India.
• The tenure of the CAG is governed by the Comptroller and Auditor-General’s (Duties, Powers and Conditions of Service) Act, 1971.
• According to the statutory provisions, the CAG shall hold office for a term of 6 years from the date on which he assumes charge.
• However, there is an upper age limit; the CAG must vacate the office upon reaching the age of 65 years, whichever occurs earlier.
• This fixed tenure is designed to ensure the independence of the audit mechanism from executive interference, allowing the CAG to function without fear or favor.

 Additional Information

• Constitutional Provisions and Independence:
• Article 148: Specifies that the CAG is appointed by the President of India by warrant under his hand and seal.
• Removal: The CAG can only be removed from office in like manner and on the like grounds as a Judge of the Supreme Court.
• Post-Retirement: The individual is ineligible for further office under the Government of India or any State Government after retirement to maintain impartiality.
• Financial Independence: The administrative expenses of the office, including all salaries and allowances, are charged upon the Consolidated Fund of India and are non-votable.
• Role and Functions:
• Often described as the Guardian of the Public Purse, the CAG audits all expenditure from the Consolidated Fund of India, the Consolidated Fund of each State, and each Union Territory.
• The reports of the CAG are submitted to the President or Governor and are scrutinized by the Public Accounts Committee (PAC) of Parliament.

<br> <br>

For MNO : PQR

Similarly, for HIJ:? 

Hence, the correct answer is “Option 1”.

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BREAK is coded as B2R18E5A1K11, 

Similarly,

TABLE coded as,

Hence, the correct answer is “Option 3”.

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For MEN: PHQ

Similarly, for ΒΟΥ: ? 

Hence, the correct answer is “Option 4”.

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D + 2 = F

F + 3 = I

I + 4 = M

M + 5 = R

Hence, the correct answer is “Option 1”.

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C + 2 = E

E + 3 = H

H + 4 = L

L + 5 = Q

Q + 6 = W

Hence, the correct answer is “Option 2”.

Logic followed here is,

5

(5 × 2) + 1 = 11

(11 × 2) + 1 = 23

(23 × 2) + 1 = 47

(47 × 2) + 1 = 95

Hence, the correct answer is “Option 4”.

The pattern observed is: (Previous Number) × 2 = Next Number.

7 × 2 = 14

14 × 2 = 28

28 × 2 = 56

56 × 2 = 112

112 × 2 = 224

Hence, the correct answer is “Option 1”.

The logic followed here is :

"Winter" is commonly associated with "Snow".

Similarly,

"Summer" is commonly associated with "Heat".

Hence, the correct answer is "option (4)".

Additional Information 

Given values:

Principal (P) = ₹8000,

Rate of Interest (R) = 6% per annum,

Time (T) = 2 years.

Formula Used: Simple Interest (SI) = (P × R × T) ÷ 100

Calculation of Interest:

⇒ SI = (8000 × 6 × 2) ÷ 100

⇒ SI = 80 × 12

⇒ SI = 960

Hence, the correct answer is “Option 4”.

Given:

Total Sum = ₹6000

Ratio of A : B = 3 : 2

Formula Used:

Share of a person = [Ratio of that person ÷ Sum of ratios] × Total Sum

Calculations:

⇒ Let A's share be 3x and B's share be 2x.

⇒ 3x + 2x = 6000

⇒ 5x = 6000

⇒ x = 6000 ÷ 5

⇒ x = 1200

⇒ A's share = 3x = 3 × 1200 = ₹3600

⇒ B's share = 2x = 2 × 1200 = ₹2400

Hence, the correct answer is “Option 4”.

The sequence represents the progression of a creative work from its initial concept to its final release.

1. Sketch: This is the very first stage where rough ideas or preliminary thoughts are noted down in an unrefined manner.

2. Outline: In this stage, the initial ideas are organized into a structured plan or a framework of main points.

3. Draft: This refers to the preliminary version of the text, where the outline is expanded into full sentences and paragraphs.

4. Manuscript: This is the final version of the written work (often handwritten or typed) that is prepared and ready for the next phase of distribution.

5. Publication: This is the final step where the work is officially printed and released to the public for consumption.

Following this logical progression of the writing process, the next term after manuscript is publication.

Hence, the correct answer is “Option 3”.

The series represents the progressive stages of Conflict Resolution and Relationship Building. Each term follows the previous one as a logical step toward restoring a bond.

1. Apology → The first step where one acknowledges a mistake and expresses regret.

2. Acceptance → The second step where the other person acknowledges and receives the apology.

3. Compromise → The third step where both parties make adjustments to find common ground.

4. Trust → The fourth step where the bond is strengthened through reliability and mutual belief.

5. Reconciliation → The final step where the relationship is fully restored and harmony is established.

Therefore, the next term in the series is reconciliation.

Hence, the correct answer is “Option 2”.

Logic:

First Number

Second number = First Number³,

Third number = Second number + 20

For (4, 64, 84) →

4³ = 64

64 + 20 = 84

For (5, 125, 145) →

5³ = 125

125 + 20 = 145

For (6, 216, 236) →

6³ = 216 

216 + 20 = 236

For (7, 343, 370) →

7³ = 343

343 + 20 = 363 ≠ 370

Therefore, the different pair of numbers is (7, 343, 370).

Hence, the correct answer is “Option 4”.

Logic:

First Number

Second number = First Number × 2,

Third number = First Number × 3,

For (10, 20, 30) →

10 × 2 = 20

10 × 3 = 30

For (16, 32, 50) →

16 × 2 = 32

16 × 3 = 48 ≠ 50

For (14, 28, 42)→

14 × 2 = 28

14 × 3 = 42

For (12, 24, 36) →

12 × 2 = 24

12 × 3 = 333

Therefore, the different pair of numbers is (16, 32, 50).

Hence, the correct answer is “Option 2”.

BODMAS Table: 

Given:

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Now, replacing the symbols:

⇒ 24 ÷ 6 + 15 - 8 × 2

⇒ 24 ÷ 6 + 15 - 8 × 2

⇒ 4 + 15 - 8 × 2

⇒ 4 + 15 - 16

⇒ 4 + 15 - 16

⇒ 19 - 16

⇒ 3

Hence, the correct answer is "Option 4".

BODMAS Table: 

Given expression: [(560 # 20) @ 8 $ 91] % [(144 # 12) @ 6]

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Now, replacing the symbols:

⇒ [(560 ÷ 20) × 8 - 91] + [(144 ÷ 12) × 6]

⇒ [560 ÷ 20 × 8 - 91] + [144 ÷ 12 × 6]

⇒ [28 × 8 - 91] + [12 × 6]

⇒ [224 - 91] + [72]

⇒ [224 - 91] + 72

⇒ 133 + 72

⇒ 205

Hence, the correct answer is "Option 4".

The pattern observed is: (First number + 1)2 + 5.

For 8 : 86 →

8 + 1 = 9

9² + 5 = 81 + 5 = 86

Similarly, 

 22 : ? →

22 + 1 = 23

(23)² + 5 = 529 + 5 = 534

Hence, the correct answer is “Option 3”.

Here,

Basil, Oregano, and Parsley are all classified as herbs, which are generally the leafy green or flowering parts of a plant used for flavoring.

While,

Turmeric is classified as a spice, which is typically derived from the roots (rhizomes), seeds, fruits, or bark of a plant.

Therefore, the different one is Turmeric.

Hence, the correct answer is “Option 3”.

 

Additional Information 

Here,

The Monsoon, Chinook, and Mistral are all winds that blow in the lower part of the atmosphere and directly affect the surface weather.

Whereas,

The Jet Stream is a high-altitude wind system.

Hence, the correct answer is “Option 4”.

Additional Information 

1. Monsoon: It is a seasonal wind system that flows in the lower layers of the atmosphere, primarily affecting the Indian subcontinent and Southeast Asia.

2. Chinook: It is a local wind (warm and dry) that blows down the eastern slopes of the Rocky Mountains in North America, occurring near the Earth surface.

3. Mistral: It is a local wind (cold and dry) that blows from the north through the Rhone Valley in France, also occurring at the surface level.

4. Jet Stream: These are upper-level atmospheric winds. They are fast-flowing, narrow air currents found in the upper troposphere or lower stratosphere at very high altitudes.

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Family tree,

Female members in the family = 9

Hence, the correct answer is “Option 4”.

<br> <br>

Family tree,

Woman is Man's Mother.

Hence, the correct answer is “Option 1”.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 1”.

Here, in position I and III of dice face R and T are common.

So, remaining face are opposite to each other.

U is opposite to E.

Hence, the correct answer is “Option 3”.

Mirror image of the given figure,

Hence, the correct answer is “Option 1”.

Given:

Speed of the man in still water (u) = 10 km/h

Speed of the current (v) = 2 km/h

Distance (D) = 36 km

Formula Used:

Downstream Speed (S_d) = u + v

Time (T) = Distance ÷ Speed

⇒ Downstream Speed (S_d) = 10 + 2 = 12 km/h

⇒ Time taken (T) = 36 ÷ 12

⇒ Time taken (T) = 3 hours

Hence, the correct answer is “Option 1”.

Shortcut Trick

Effective Selling Price percentage = 100% − 20% = 80%

Selling Price = 80% of 1000

Selling Price = 0.8 × 1000 = 800

∴ The correct answer is ₹800.

Alternate Method

Given:

Marked Price (MP) = ₹1000

Discount = 20%

Formula Used:

Selling Price (SP) = Marked Price × [1 − (Discount % ÷ 100)]

Calculations:

⇒ Discount Amount = 20% of 1000

⇒ Discount Amount = (20 ÷ 100) × 1000 = ₹200

⇒ Selling Price = Marked Price − Discount Amount

⇒ Selling Price = 1000 − 200 = ₹800

∴ The correct answer is ₹800.

Additional Information

Marked Price (MP)

The price printed on the label or tag of an item is known as the Marked Price or List Price.

Discount Percentage

Discount is always calculated on the Marked Price. Formula: Discount % = (Discount ÷ MP) × 100.

Successive Discounts

If two discounts d₁% and d₂% are given, the single equivalent discount is [d₁ + d₂ − (d₁ × d₂ ÷ 100)]%.

Shortcut Trick

The Area of a circle can be directly calculated from the diameter (d) using the formula: Area = (π ÷ 4) × d²

Given diameter = 30 m

Area = (3.14 ÷ 4) × 30² = 0.785 × 900

Area = 706.5 m²

∴ The correct answer is 706.5 m².

Alternate Method

Given:

Diameter (d) of the circular garden = 30 m

Formula Used:

Radius (r) = Diameter ÷ 2

Area of a circle = π × r² (Taking π ≈ 3.14)

Calculations:

⇒ Radius (r) = 30 ÷ 2 = 15 m

⇒ Area = 3.14 × (15)²

⇒ Area = 3.14 × 225

⇒ Area = 706.5 m²

∴ The correct answer is 706.5 m².

Additional Information

Circumference of a Circle

The distance around the circle, calculated as C = 2 × π × r or C = π × d.

Area of a Semi-circle

Half the area of a full circle, given by Area = (π × r²) ÷ 2.

Relation between Area and Circumference

Area can also be expressed in terms of circumference (C) as Area = C² ÷ (4 × π).

Shortcut Trick

Total area of circle = πr² = (22/7) × 14 × 14 = 616 cm².

Ratio of Sector Area to Total Area = 154 ÷ 616 = 1/4.

Since the total angle of a circle is 360°, the Sector Angle = (1/4) × 360° = 90°.

∴ The correct answer is 90°.

Alternate Method

Given:

Area of the sector = 154 cm²

Radius (r) = 14 cm

Value of π = 22/7

Formula Used:

Area of a sector = (θ ÷ 360) × πr²

Calculations:

⇒ 154 = (θ ÷ 360) × (22 ÷ 7) × 14 × 14

⇒ 154 = (θ ÷ 360) × 22 × 2 × 14

⇒ 154 = (θ ÷ 360) × 616

⇒ θ ÷ 360 = 154 ÷ 616

⇒ θ ÷ 360 = 1/4

⇒ θ = 360 ÷ 4

⇒ θ = 90°

∴ The correct answer is 90°.

Additional Information

Length of Arc

The length of the arc (l) of a sector is given by: l = (θ ÷ 360) × 2πr.

Perimeter of a Sector

The total perimeter of a sector includes the arc length and two radii: Perimeter = l + 2r.

Relationship between Area and Arc Length

Area of a sector can also be calculated as: Area = (1 ÷ 2) × l × r.

Area of Circle

The total area of a circle is πr², which corresponds to a central angle of 360°.

Shortcut Trick

Since the speed is constant, distance is directly proportional to time.

Ratio of Time = 2 hr : 5 hr = 2 : 5

Therefore, ratio of Distance = 2 : 5

2 units → 120 km

1 unit → 60 km

5 units → 5 × 60 = 300 km

∴ The correct answer is 300 km.

Alternate Method

Given:

Distance₁ = 120 km

Time₁ = 2 hr

Time₂ = 5 hr

Formula used:

Speed = Distance ÷ Time

Distance = Speed × Time

Calculations:

⇒ Speed of the train = 120 ÷ 2

⇒ Speed = 60 km/hr

⇒ Distance traveled in 5 hr = Speed × Time₂

⇒ Distance = 60 × 5

⇒ Distance = 300 km

∴ The correct answer is 300 km.

Additional Information

Basic Speed Formula

Speed is defined as the rate of change of distance with time: Speed = Distance / Time.

Unit Conversion

To convert speed from km/hr to m/s, multiply by 5/18. To convert m/s to km/hr, multiply by 18/5.

Direct Proportionality

When speed is constant, distance (D) is directly proportional to time (T), expressed as D₁/T₁ = D₂/T₂.

Shortcut Trick

Speed in m/s = Distance (Length) ÷ Time

Speed = 200 ÷ 20 = 10 m/s

To convert m/s to km/h, multiply by 18/5.

Speed = 10 × (18/5) = 2 × 18 = 36 km/h

∴ The correct answer is 36 km/h.

Alternate Method

Given:

Length of the train (Distance) = 200 m

Time taken to pass the pole = 20 sec

Formula Used:

Speed = Distance ÷ Time

Speed (km/h) = Speed (m/s) × (18/5)

Calculations:

⇒ Speed in m/s = 200 ÷ 20

⇒ Speed = 10 m/s

⇒ To convert into km/h: Speed = 10 × (18/5)

⇒ Speed = 2 × 18

⇒ Speed = 36 km/h

∴ The correct answer is 36 km/h.

Additional Information

Unit Conversion Shortcut

To convert speed from km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.

Passing a Point Object

When a train passes a pole, a tree, or a stationary person, the distance covered is equal to the length of the train itself.

Passing a Stationary Object with Length

When a train passes a bridge, platform, or another stationary train, the total distance covered = Length of train + Length of the object.

Shortcut Trick

Expenditure percentage = (Value ÷ Total) × 100

Ratio of Spent to Salary = 200 : 1000 = 1 : 5

Percentage = (1 ÷ 5) × 100 = 20%

∴ The correct answer is 20%.

Alternate Method

Given:

Total Salary of the man = ₹1000

Amount Spent (Expenditure) = ₹200

Formula Used:

Percentage = (Part Value ÷ Whole Value) × 100

Calculations:

⇒ Percentage of Salary spent = (₹200 ÷ ₹1000) × 100

⇒ Percentage = (200 ÷ 1000) × 100

⇒ Percentage = (2 ÷ 10) × 100

⇒ Percentage = 0.2 × 100

⇒ Percentage = 20%

∴ The correct answer is 20%.

Additional Information

Income, Expenditure, and Savings Relationship

Total Income = Expenditure + Savings. In this case, Savings = ₹1000 − ₹200 = ₹800 (which is 80% of the salary).

Percentage to Fraction Conversion

To convert a percentage to a fraction, divide by 100. Example: 20% = 20 ÷ 100 = 1/5.

Percentage Change Formula

Percentage Increase/Decrease = [(New Value − Original Value) ÷ Original Value] × 100.

Shortcut Trick

When a value is increased and then decreased by the same percentage x%, the net change is always a decrease of (x² / 100)%.

Here, x = 20%.

Net percentage change = (20 × 20 / 100)% = 400 / 100 = 4% decrease.

∴ The correct answer is 4% decrease.

Alternate Method

Given: Initial increase = 20%, subsequent decrease = 20%.

Formula: Net Change % = a + b + (a × b / 100), where a and b are percentage changes.

⇒ Let the initial number be 100.

⇒ After 20% increase: 100 + (20/100) × 100 = 120.

⇒ After 20% decrease: 120 − (20/100) × 120 = 120 − 24 = 96.

⇒ Net change = 100 − 96 = 4 units decrease.

⇒ Percentage net change = (4 / 100) × 100 = 4%.

∴ The correct answer is 4% decrease.

Additional Information

Successive Percentage Change Formula

The net effect of two successive changes a% and b% is calculated as [a + b + (ab / 100)]%. Use positive for increase and negative for decrease.

Base Value Property

When a value is increased and decreased by the same percentage, the net result is always a decrease because the second percentage is calculated on a larger base value.

Fraction Method

20% = 1/5. Increase (5 → 6), Decrease (5 → 4). Combined ratio: (5 × 5) → (6 × 4) = 25 → 24. Loss = 1/25 = 4%.

Shortcut Trick Loss of 20% implies the Selling Price (SP) is 80% of the Cost Price (CP). 80% of CP = ₹720 1% of CP = 720 ÷ 80 = 9 100% (Total CP) = 9 × 100 = ₹900 ∴ The correct answer is ₹900.

Alternate Method Given: Selling Price (SP) = ₹720 Loss Percentage = 20% Formula Used: Cost Price (CP) = [SP × 100] ÷ [100 − Loss%]

⇒ CP = [720 × 100] ÷ [100 − 20] ⇒ CP = [720 × 100] ÷ 80 ⇒ CP = 9 × 100 ⇒ CP = 900 The calculated Cost Price of the article is ₹900. This matches the value provided in Option (2). ∴ The correct answer is ₹900.

Additional Information Profit and Loss Basic Formulas Profit = SP − CP (when SP > CP) and Loss = CP − SP (when CP > SP). Selling Price with Profit SP = CP × (100 + Profit%) ÷ 100. This formula is used to find the selling price when a gain is made. Percentage Change Profit/Loss Percentage is always calculated on the Cost Price (CP) unless stated otherwise: (Profit or Loss ÷ CP) × 100.

Shortcut Trick

Difference in Amount for 2 years (4 − 2) = 900 − 750 = ₹150.

Since Simple Interest (SI) remains constant every year, SI for the first 2 years is also ₹150.

Initial Principal = Amount after 2 years − SI for 2 years = 750 − 150 = ₹600.

∴ The correct answer is ₹600.

Alternate Method

Given:

Amount after 2 years (A₂) = ₹750

Amount after 4 years (A₄) = ₹900

Formula Used:

Simple Interest (SI) = Amount − Principal

SI for 'n' years = (Amount after T+n years) − (Amount after T years)

Calculations:

⇒ SI for 2 years = A₄ − A₂

⇒ SI for 2 years = 900 − 750 = ₹150

⇒ Principal (P) = Amount after 2 years − SI for 2 years

⇒ P = 750 − 150

⇒ P = ₹600

∴ The correct answer is ₹600.

Additional Information

Simple Interest Property

Simple Interest is calculated only on the Principal amount and remains constant for every equal time interval if the rate is unchanged.

Formula for Rate of Interest

Rate (R) = (SI × 100) ÷ (P × T). In this case, R = (150 × 100) ÷ (600 × 2) = 12.5% per annum.

Relationship between Amount and Principal

The Amount (A) in simple interest is a linear function of time (T): A = P + (P × R × T) ÷ 100.

Shortcut Trick

Convert Speed to m/s: 54 × (5/18) = 15 m/s.

Total Distance (Train + Platform) = Speed × Time = 15 × 20 = 300 m.

Train Length = Total Distance − Platform Length = 300 − 200 = 100 m.

∴ The correct answer is 100 m.

Alternate Method

Given:

Speed of train = 54 km/h

Length of Platform = 200 m

Time taken = 20 sec

Formula Used:

Distance = Speed × Time

When a Train crosses a Platform, the total distance covered is (Length of train + Length of platform).

Calculations:

⇒ Speed in m/s = 54 × (5/18) m/s

⇒ Speed = 3 × 5 = 15 m/s

⇒ Total Distance = Speed × Time

⇒ (Train Length + Platform Length) = 15 × 20

⇒ Train Length + 200 = 300

⇒ Train Length = 300 − 200

⇒ Train Length = 100 m

∴ The correct answer is 100 m.

Additional Information

Unit Conversion

To convert Speed from km/h to m/s, multiply by 5/18. To convert m/s to km/h, multiply by 18/5.

Crossing a Point Object

When a Train crosses a stationary point object (like a pole or a person), the distance covered is equal to the Length of the Train.

Relative Speed

When two objects move in the Same Direction, Relative Speed = S₁ − S₂. In the Opposite Direction, Relative Speed = S₁ + S₂.

Shortcut Trick

Downstream speed (D) = 24 ÷ 3 = 8 km/h

Upstream speed (U) = 24 ÷ 4 = 6 km/h

Boat speed in still water = (D + U) ÷ 2 = (8 + 6) ÷ 2 = 7 km/h

Stream speed = (D − U) ÷ 2 = (8 − 6) ÷ 2 = 1 km/h

∴ The correct answer is 7 km/h, 1 km/h.

Alternate Method

Given:

Distance (d) = 24 km

Time taken downstream (t₁) = 3 hours

Time taken upstream (t₂) = 4 hours

Formula Used:

Speed = Distance ÷ Time

Speed of boat (u) = (Downstream Speed + Upstream Speed) ÷ 2

Speed of stream (v) = (Downstream Speed − Upstream Speed) ÷ 2

Calculations:

⇒ Downstream Speed (D) = 24 ÷ 3 = 8 km/h

⇒ Upstream Speed (U) = 24 ÷ 4 = 6 km/h

⇒ Speed of boat (u) = (8 + 6) ÷ 2

⇒ u = 14 ÷ 2 = 7 km/h

⇒ Speed of stream (v) = (8 − 6) ÷ 2

⇒ v = 2 ÷ 2 = 1 km/h

∴ The correct answer is 7 km/h, 1 km/h.

Additional Information

Downstream Motion

When the boat moves in the direction of the stream, the effective speed is the sum of boat speed and stream speed (u + v).

Upstream Motion

When the boat moves against the direction of the stream, the effective speed is the difference between boat speed and stream speed (u − v).

Still Water Speed Calculation

The speed of the boat in still water is the arithmetic mean of the downstream and upstream speeds: u = 1/2 × (D + U).

Stream Speed Calculation

The speed of the water current is half the difference between downstream and upstream speeds: v = 1/2 × (D − U).

Shortcut Trick

The given runs 34, 36, 38, 40, 42 are in an Arithmetic Progression (common difference = 2).

For an odd number of terms in an AP, the average is always the middle term.

The middle term of the series (34, 36, 38, 40, 42) is 38.

∴ The correct answer is 38 runs.

Alternate Method

Given:

Runs in 5 innings: 34, 36, 38, 40, 42

Total number of innings = 5

Formula Used:

Average = (Sum of all observations) ÷ (Total number of observations)

Calculations:

⇒ Sum of runs = 34 + 36 + 38 + 40 + 42

⇒ Sum of runs = 190

⇒ Average = 190 ÷ 5

⇒ Average = 38

∴ The correct answer is 38 runs.

Additional Information

Average of Arithmetic Progression (AP)

For any series in AP, the average can also be calculated as (First Term + Last Term) ÷ 2. In this case, (34 + 42) ÷ 2 = 76 ÷ 2 = 38.

Sum of Observations

Total Sum = Average × Number of items. This formula is vital for finding missing values in a data set when the average is known.

Consecutive Numbers Average

The average of n consecutive even or odd numbers is simply the middle value if n is odd, or the average of the two middle values if n is even.

Shortcut Trick

Mean proportional a = √(18 × 8) = 12

Third proportional b = (16 × 16) ÷ 12 = 64/3

Required Ratio = 3(12) : 2(64/3) = 36 : 128/3

Multiply by 3 → 108 : 128 = 27 : 32

∴ The correct answer is 27:32.

Alternate Method

Given:

Mean proportional a of 18 and 8.

Third proportional b of 12 and 16.

Formula Used:

For two numbers x and y:

1. Mean Proportional = √(x × y)
2. Third Proportional = y² ÷ x

Calculations:

⇒ a = √(18 × 8)

⇒ a = √144 = 12

⇒ b = (16 × 16) ÷ 12

⇒ b = 256 ÷ 12 = 64/3

⇒ Value of 3a = 3 × 12 = 36

⇒ Value of 2b = 2 × (64/3) = 128/3

⇒ Required Ratio = 3a : 2b

⇒ Ratio = 36 : (128/3)

⇒ Ratio = (36 × 3) : 128

⇒ Ratio = 108 : 128

⇒ Ratio = 27 : 32

∴ The correct answer is 27:32.

Additional Information

Mean Proportional

The mean proportional between two numbers x and y is the square root of their product, expressed as b = √(xy).

Third Proportional

If x, y, and z are in continued proportion (x:y :: y:z), then z is the third proportional to x and y, calculated as z = y²/x.

Fourth Proportional

If x:y :: z:w, then w is the fourth proportional to x, y, and z, given by w = (y × z)/x.

Compound Ratio

The compound ratio of (p:q) and (r:s) is (p × r) : (q × s).

Shortcut Trick

Volume of Pyramid = (1/3) × 10² × 24 = 800 cm³

Volume of Sphere = (4/3) × π × r³ = 800

⇒ π × r³ = 600

⇒ r = ³√(600/π) cm

∴ The correct answer is ³√(600/π) cm.

Alternate Method

Given:

Side of square base (a) = 10 cm

Height of pyramid (h) = 24 cm

Formula Used:

Volume of Regular Pyramid = (1/3) × Area of Base × Height

Volume of Sphere = (4/3) × π × r³

Calculations:

⇒ Area of square base = 10 × 10 = 100 cm²

⇒ Volume of Pyramid = (1/3) × 100 × 24

⇒ Volume of Pyramid = 100 × 8 = 800 cm³

⇒ According to the question, Volume of Pyramid = Volume of Sphere

⇒ 800 = (4/3) × π × r³

⇒ r³ = (800 × 3) / (4 × π)

⇒ r³ = 2400 / (4 × π)

⇒ r³ = 600 / π

⇒ r = ³√(600 / π) cm

∴ The correct answer is ³√(600/π) cm.

Additional Information

Volume of Regular Pyramid

The volume is always (1/3) × Base Area × Perpendicular Height, regardless of the base shape.

Sphere Properties

Volume = (4/3)πr³ and Total Surface Area = 4πr².

Slant Height of Pyramid

For a square pyramid, the slant height (l) is given by l = √(h² + (a/2)²), where h is height and a is base side.

Shortcut Trick

Convert time to years: 18 months = 1.5 years.

Total interest percentage = Rate × Time = 10% × 1.5 = 15%.

Total Amount = 115% of Principal = 1.15 × 25,000.

Amount = ₹28,750.

∴ The correct answer is ₹28,750.

Alternate Method

Given:

Principal (P) = ₹25,000

Rate of Interest (R) = 10% per annum

Time (T) = 18 months

Formula Used:

Simple Interest (SI) = (P × R × T) / 100

Total Amount (A) = Principal + Simple Interest

⇒ Time in years (T) = 18 ÷ 12 = 1.5 years

⇒ SI = (25000 × 10 × 1.5) ÷ 100

⇒ SI = 250 × 15

⇒ SI = ₹3,750

⇒ Total Amount = 25000 + 3750

⇒ Total Amount = ₹28,750

∴ The correct answer is ₹28,750.

Additional Information

Simple Interest vs Compound Interest

In Simple Interest, the interest is calculated only on the initial principal. In Compound Interest, interest is calculated on the principal plus the accumulated interest of previous periods.

Time Conversion Rule

Always convert time into years before applying the standard formula (SI = PRT/100). If time is in days, divide by 365; if in months, divide by 12.

Effective Rate of Interest

The effective interest rate for the entire duration in Simple Interest is simply the product of Rate (R) and Time (T).

Concept

• An IP Address (Internet Protocol address) is a unique numerical label assigned to each device connected to a computer network that uses the Internet Protocol for communication.
• Static IP addresses are permanent and manually assigned to a device.
• Dynamic IP addresses are temporary and are automatically assigned to devices as they connect to the network.
• DHCP (Dynamic Host Configuration Protocol) is the standardized network protocol used on Internet Protocol networks for dynamically distributing network configuration parameters.

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Explanation

The fundamental difference between these two types of IP addresses lies in their stability and the method of assignment.

1. Static IP Address: This type of address remains the same over time. It is manually configured by a network administrator and does not change unless the configuration is modified. This is critical for devices that need to be consistently reachable at the same address, such as web servers, DNS servers, and printers.
2. Dynamic IP Address: This is a temporary address that is assigned by a DHCP server. When a device connects to a network, the server selects an available address from a pool and leases it to the device. Because these addresses are leased, they may change periodically, such as when a device is restarted or the lease expires. This method is used by Internet Service Providers (ISPs) for most home and consumer devices because it is more efficient and cost-effective to manage a pool of addresses.

Hence, Static IPs remain the same, while Dynamic IPs are assigned temporarily by a DHCP server and may change.

Concept

• Keyboard shortcuts are combinations of keys that provide an alternative way to perform tasks that are typically done with a mouse.
• In Microsoft Word, these shortcuts help improve productivity and speed when managing documents.
• The Save function is critical for ensuring that any progress made on a document is stored on the disk to prevent data loss.

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Explanation of Shortcuts

The following shortcuts are commonly used in MS Word for file management and editing:

• Ctrl + S: This is the standard shortcut used to Save the current document. If the document has never been saved before, it will trigger the Save As dialog box to allow the user to name the file.
• Ctrl + P: This shortcut is used to open the Print window, allowing the user to preview the document and send it to a printer.
• Ctrl + O: This command is used to Open an existing document from the storage location.
• Ctrl + X: This shortcut is used to Cut the selected text or graphic, removing it from the document and placing it on the Clipboard.

Hence, the keyboard shortcut used to quickly save a document in MS Word is Ctrl + S.

The correct answer is National Electronic Funds Transfer.

Key Points

• National Electronic Funds Transfer (NEFT) is a nationwide centralized payment system owned and operated by the Reserve Bank of India (RBI).
• It facilitates a one-to-one funds transfer mechanism where individuals, firms, and corporates can electronically transfer money from any bank branch to any other bank account in the country participating in the NEFT network.
• The settlement of funds in NEFT happens in batches rather than on a continuous basis. This system is known as Deferred Net Settlement (DNS), where transactions are netted out at specific intervals.
• Historically, the system operated during specific working hours; however, since December 16, 2019, the RBI made NEFT available on a 24×7×365 basis, including holidays, to promote digital adoption.
• There is no minimum limit on the amount that can be transferred via NEFT, making it highly accessible for retail customers for small-value remittances.

 Additional Information

• RTGS (Real Time Gross Settlement):
• Unlike NEFT, RTGS settles transactions individually and immediately on a gross basis.
• It is primarily intended for high-value transactions, carrying a minimum limit of Rs. 2 Lakhs.
• IFSC (Indian Financial System Code):
• This is a unique 11-digit alphanumeric code assigned by the RBI to identify every bank branch participating in the NEFT and RTGS systems.
• The first four characters represent the bank name, the fifth is 0, and the last six characters represent the branch code.
• IMPS (Immediate Payment Service):
• Managed by the National Payments Corporation of India (NPCI), it provides an instant 24-hour interbank electronic fund transfer service through mobile and internet banking.

The correct answer is Inserts a superscript reference mark and creates a note at bottom of current page.

Key Points

• In Microsoft Word, the Insert Footnote feature is located under the References tab in the Footnotes group.
• When activated, the software automatically places a superscript number (or symbol) at the cursor's location, which serves as a reference mark for the reader.
• The program then shifts focus to the bottom of the current page, beneath a short separator line, where a corresponding number is created for the user to enter detailed citations, definitions, or supplementary comments.
• Footnotes are page-specific; if the text containing the reference mark moves to a different page due to editing, MS Word automatically relocates the corresponding note to the bottom of that new page.
• This feature is essential for academic and professional writing to maintain document integrity and provide source attribution without interrupting the flow of the main narrative.

 Additional Information

• Keyboard Shortcut: The default shortcut to quickly insert a footnote in Windows is Alt + Ctrl + F.
• Footer:
• Unlike a footnote, a Footer is a section that appears in the bottom margin of every page in a document or section.
• It typically contains repetitive information such as page numbers, file names, or author credentials.
• Endnotes:
• While similar to footnotes, Endnotes (shortcut: Alt + Ctrl + D) are placed at the very end of the document or the end of a section rather than at the bottom of each individual page.
• Comments:
• This feature allows reviewers to add notations or feedback in the margin (markup area) that can be hidden, resolved, or deleted without affecting the primary text layout.
• Bibliography:
• This tool automates the creation of a list of sources used in the document, typically formatted according to styles like APA, MLA, or Chicago.

The correct answer is Ctrl + Shift + >.

Key Points

In Microsoft Word and similar word processing software, keyboard shortcuts are essential for productivity and maintaining a fast workflow without relying on the mouse. The shortcut Ctrl + Shift + > is specifically designed to increase the font size of selected text by one increment based on the predefined values found in the Font Size dropdown menu (e.g., jumping from 12 to 14, or 14 to 16 points). This shortcut functions by moving up the standard scale of font sizes, which often follows a non-linear progression in higher values. To perform the opposite action, a user would press Ctrl + Shift + <, which decreases the font size by one increment in the same preset list. These formatting commands allow for rapid document styling and are standard across various versions of Office Productivity Suites.

 Additional Information

Ctrl + ]:

This shortcut increases the font size of the selected text by exactly 1 point (e.g., from 12 pt to 13 pt), offering more granular control than the increment-based shortcut. The companion shortcut Ctrl + [ decreases the font size by exactly 1 point.

Ctrl + F:

This is a universal shortcut used to open the Navigation Pane or the Find dialog box, enabling users to search for specific strings of text or formatting within the active document.

Ctrl + Alt + >:

This combination is not a standard built-in shortcut for font manipulation in Microsoft Word; standard resizing commands typically utilize the Shift or Bracket keys.