Quartz crystals used as piezoelectric oscillators in clocks and watches are chemically composed of silicon dioxide (SiO2).

Bromine (atomic number 35) is the only non-metal that exists as a dense, reddish-brown volatile liquid at room temperature.

• Chemical Process: Oxy-acetylene welding employs a mixture of pure oxygen and acetylene (C2H2) gas. The combustion of this mixture produces an extremely intense flame reaching temperatures exceeding 3,100 °C, sufficient to melt and weld steel.

Galvanization is the process of applying a protective coating of zinc (Zn) to iron or steel pipes and sheets to prevent rusting.

• Electromagnetic Spectrum: The visible spectrum discernible to the human eye lies between approximately 3900 \AA (violet, 390 nm) and 7600 \AA to 7800 \AA (red, 760–780 nm).

• Chemical Composition: Synthetic detergents are sodium salts of long-chain alkyl hydrogen sulfates or alkyl benzene sulfonates (e.g., sodium dodecylbenzenesulfonate), which maintain cleansing efficacy even in hard water.

Correct Answer: Option (C) — magnesium (or multiple elements/minerals) • Physiological Excretion: Human perspiration consists primarily of water, sodium chloride, potassium, urea, and trace amounts of minerals including magnesium, zinc, and iron. In standard single-choice keys, magnesium / zinc are classic mineral excretion answers.

Blue vitriol is the common name for hydrated copper(II) sulfate pentahydrate (CuSO4·5H2O).

• Atomic Physics: In Rutherford's nuclear model of the atom, the tiny, dense, positively charged region at the center containing protons (and neutrons) is called the atomic nucleus.

• Thermodynamic Transition: Sublimation is the endothermic phase transition in which a substance changes directly from a solid to a gas without passing through an intermediate liquid phase at pressures below its triple point (e.g., dry ice, camphor, iodine, naphthalene).

• Endocrine Function: Insulin primarily regulates carbohydrate (glucose) metabolism by facilitating cellular glucose uptake via GLUT4 transporters, promoting glycogenesis in liver and skeletal muscles, and maintaining blood glucose homeostasis.

• Pharmacology: Penicillin, discovered by Alexander Fleming in 1928 from the fungus Penicillium notatum, is the classic beta-lactam antibiotic. Aspirin and paracetamol are analgesics/antipyretics, and sulfadiazine is a synthetic sulfonamide antibacterial.

Among the given cereals, rice contains the highest proportion of carbohydrates (approximately 78–80% by weight, mainly starch) and the lowest protein and fat content.

• Density Comparison: Densities:
• Platinum: 21.45 g/cm³
• Gold: 19.32 g/cm³
• Mercury: 13.53 g/cm³
• Silver: 10.49 g/cm³

Among the options provided, platinum is the densest and heaviest metal (osmium is overall heaviest in the periodic table at 22.59 g/cm³).

Correct Answer: Option (D) — iron and chromium (or iron, chromium, nickel, and carbon) • Metallurgy: Stainless steel is primarily an alloy of iron (Fe) and chromium (Cr, minimum ~10.5–18%), often with nickel and carbon, where chromium forms a protective self-healing passive chromium-oxide layer resisting corrosion.

• Chemistry in Medicine: Plaster of Paris (CaSO₄ · 0.5H₂O) sets into a hard solid mass (gypsum) when mixed with water and is widely used for setting fractured bones and orthopedic casts.

• Organic Nomenclature: Hydrocarbons with carbon-carbon double bonds (C=C) are called alkenes (general formula CnH2n). Single bonds are alkanes (CnH2n+2) and triple bonds are alkynes (CnH2n-2).

• Chemical Composition: Vinegar is an aqueous solution containing approximately 5% to 8% acetic acid (CH3COOH / ethanoic acid) produced by the fermentation of ethanol by acetic acid bacteria.

• Electrochemistry: Lead-acid storage batteries commonly used in automobiles utilize dilute sulfuric acid (H2SO4, approximately 33–38% concentration) as the liquid electrolyte.

• Physical Chemistry: Soda water is carbonated water in which carbon dioxide (CO2) gas is dissolved under high pressure according to Henry's Law. When the cap is opened, the pressure drops abruptly, causing dissolved CO2 to effervesce out as bubbles.

In 2018, Diu Smart City became the first city in India to run on 100% renewable solar energy during daytime by generating over 13 MW of solar power against a peak demand of 7 MW.

Egyptian photojournalist Mahmoud Abu Zeid, popularly known as Shawkan, won the 2018 UNESCO/Guillermo Cano World Press Freedom Prize.

The bilateral military exercise 'Harimau Shakti 2018' was conducted between the Indian Army and the Malaysian Army in Hulu Langat, Malaysia in April–May 2018.

The Union Ministry of Human Resource Development (now Ministry of Education) launched the second edition of 'Unnat Bharat Abhiyan' (UBA 2.0) in April 2018 to connect higher educational institutions with rural villages.

• Tourism Campaign: The Ministry of Tourism in collaboration with Google India launched 360-degree Virtual Reality (VR) experience videos on the 'Incredible India' campaign to showcase India's heritage and cultural destinations globally.

• Food Archaeology: The India Study Centre Trust (INSTUCEN) and the Centre for Extra-Mural Studies organized India's first national conference on the archaeology of food, titled 'ArchaeoBroma', in Mumbai in May 2018.

India was ranked 138th out of 180 countries in the 2018 World Press Freedom Index published by Reporters Without Borders (RSF), slipping two places from 136th in 2017.

The Council of Scientific and Industrial Research (CSIR) won the 2018 National Intellectual Property (IP) Award in the category 'Top R&D Institution/Organization for Patents and Commercialization'.

According to data released by the Union Ministry of Social Justice and Empowerment (based on Census 2011), West Bengal topped the list of states with the highest number of beggars at 81,244, followed by Uttar Pradesh.

• Renewable Energy Milestones: Surat district in Gujarat became the first district in India to have all its Primary Health Centres (PHCs) 100% powered by solar energy.

• Anish Bhanwala became the youngest Indian to win a Commonwealth Games gold medal at age 15 in the Men's 25m Rapid Fire Pistol event.

The Assam State Government signed a memorandum of understanding (MoU) with the Airports Authority of India (AAI) in February 2018 for the sustainable development of villages in Kamrup district under CSR.

According to the Union Ministry of Drinking Water and Sanitation data (March 2018), Madhya Pradesh had the highest number of tribal habitations (55,770) fully covered with safe drinking water.

• Space Technology: The Indian Space Research Organisation (ISRO) launched the GSAT-6A communication satellite on 29 March 2018 using the Geosynchronous Satellite Launch Vehicle (GSLV-F08) from Satish Dhawan Space Centre, Sriharikota.

The theme of the 2018 International Day of Forests (observed annually on March 21) was 'Forests and Sustainable Cities'.

• International Leadership: Abdel Fattah el-Sisi was re-elected as the President of Egypt with an overwhelming mandate, securing a third term in office.

Veteran Malayalam lyricist, screenwriter, and director Sreekumaran Thampi was chosen for the Kerala government's prestigious J. C. Daniel Award for the year 2017.

According to data shared by the Indian Cellular Association (ICA) in April 2018, India surpassed Vietnam to become the world's second-largest producer of mobile phones after China.

• State Welfare Schemes: The Government of West Bengal launched the 'Rupashree Prakalpa' scheme in 2018, providing a one-time financial grant of ₹25,000 to economically disadvantaged families for the marriage of their daughters.

• Atal Innovation Mission: Under the Atal New India Challenge (ANIC) launched by AIM, NITI Aayog, prospective innovators and start-ups are awarded grants-in-aid of up to ₹1 crore to develop technology-based solutions for national challenges.

Correct Answer: Option (C) — Suresh Prabhu • National Policy: In April 2018, then Union Minister of Commerce & Industry Suresh Prabhu chaired the first meeting of the think tank on the Framework for National Policy on E-Commerce.

Seven districts of Bihar share an international border with Nepal: West Champaran, East Champaran, Sitamarhi, Madhubani, Supaul, Araria, and Kishanganj; Purnia does not share a border with Nepal.

• UNESCO Heritage in Bihar: Mahabodhi Temple Complex in Bodh Gaya was declared a UNESCO World Heritage Site in 2002, and the Archaeological Site of Nalanda Mahavihara was inscribed in 2016.

• International Agreement: SACEP stands for South Asia Co-operative Environment Programme, an intergovernmental organization established in 1982 by South Asian governments to promote environmental protection and management in the region.

The Uttar Pradesh Government signed an MoU with South Korea in 2018 to enhance tourism and cultural cooperation centered around the historical ties of Ayodhya and Queen Heo Hwang-ok.

The headquarters of the Indian Council of Forestry Research and Education (ICFRE), an autonomous council under the Ministry of Environment, Forest and Climate Change, is located in Dehradun, Uttarakhand.

The India-UK Joint Team won the Newton-Bhabha Fund grant for the collaborative research project on Groundwater Arsenic Research in the Ganga River Basin.

• Infrastructure in Bihar: The Barh Super Thermal Power Station is an operational 3,300 MW coal-fired power station developed by NTPC at Barh in Patna district, Bihar.

In March 2018, the International Solar Alliance (ISA) signed a cooperation arrangement with the Asian Development Bank (ADB) to promote solar energy deployment across Asia and the Pacific.

• Nuclear Diplomacy: In March 2018 in Moscow, India, Russia, and Bangladesh signed a landmark trilateral Memorandum of Understanding (MoU) for cooperation in the construction of the Rooppur Nuclear Power Plant in Bangladesh.

• Harappan Architecture: The widespread use of standardized burnt bricks (ratio 4:2:1) in monumental structures, town planning, advanced underground drainage systems, and granaries was the most technologically distinctive feature of the Indus Valley Civilization compared to contemporary Egypt and Mesopotamia.

Megasthenes was a Greek historian and diplomat sent as an ambassador by the Hellenistic king Seleucus I Nicator to the court of Mauryan Emperor Chandragupta Maurya in Pataliputra.

Kautilya's Arthashastra is a comprehensive ancient Indian Sanskrit treatise primarily focused on the principles and practice of statecraft, political administration, and governance.

• Buddhist Canonical Literature: The Tripitaka ('Three Baskets') is the foundational canonical scripture of Buddhism composed in Pali, consisting of Vinaya Pitaka (monastic discipline), Sutta Pitaka (discourses of Buddha), and Abhidhamma Pitaka (philosophical analyses).

The central message of Emperor Ashoka's Dhamma emphasizes peace and non-violence (Ahimsa), along with moral conduct, respect toward elders, and religious tolerance.

• Historical Source: Greek ambassador Megasthenes, in his book 'Indica', recorded that Indian society in the Mauryan Empire was divided into seven occupational classes: Philosophers, Farmers, Soldiers, Herdsmen, Artisans, Magistrates, and Councillors.

Correct Answer: Option (B) — Chandragupta II • Gupta Empire: The Chinese Buddhist monk Faxian (Fa-Hien) traveled to India between 399 and 412 CE during the golden age reign of Gupta Emperor Chandragupta II Vikramaditya to search for authentic copies of the Vinaya Pitaka.

• Chola Administration: The Imperial Chola Empire (9th–12th century CE) is world-famous for its highly sophisticated autonomous rural local self-government system and village assemblies (Ur and Sabha/Mahasabha), documented in the Uttaramerur Inscription of Parantaka I.

• Dravidian Architecture: In South Indian Dravidian temple architecture, the towering, ornately sculpted monumental entrance gateways are known as Gopurams (Gopuras).

• Vijayanagara Architecture: The monumental architectural ruins of Vijayanagara, the capital of the Vijayanagara Empire on the banks of the Tungabhadra River, are situated at Hampi in Ballari/Vijayanagara district, Karnataka (a UNESCO World Heritage Site).

Delhi Sultan Ghiyasuddin Balban was the first Muslim ruler in India to propound a theory of kingship similar to the divine right of kings, styling the monarch as 'Zill-i-Ilahi' (Shadow of God on Earth).

• Historical Material: Paper manufacture and usage reached India from China via Central Asia during the late 11th to 12th Century CE, with the oldest surviving Indian paper manuscripts dating from the 12th century.

• Mughal Art History: European paintings and Christian religious art were first brought to the Mughal court during the reign of Emperor Akbar by Portuguese Jesuit missionaries from Goa around 1580, introducing chiaroscuro and perspective into Mughal miniature traditions (later perfected under Jahangir).

When the English East India Company was established on 31 December 1600 by Royal Charter of Queen Elizabeth I, the Mughal Emperor of India was Akbar (reigned 1556–1605).

• Colonial Annexations: Sind was annexed in 1843 (Napier), Satara in 1848 (Doctrine of Lapse), and Awadh in 1856 (Dalhousie on misgovernance). Gwalior (Scindia dynasty) maintained a treaty of subsidiary alliance and was never annexed.

• National Movement: While the immediate tactical demand of the Salt March was the abolition of the oppressive salt tax and state monopoly, Mahatma Gandhi and the Congress repeatedly proclaimed that its ultimate political objective was 'Purna Swaraj' (Complete Independence).

• Agrarian Uprising: The Moplah (Mappila) Rebellion of August 1921 occurred in the Malabar region of northern Kerala as an uprising of Muslim tenant farmers against British authorities and feudal landlords (Janmis).

• Historical Movement: The Swadeshi and Boycott Movement erupted in August 1905 in response to Lord Curzon's decision to partition Bengal, formalized at a massive meeting in the Calcutta Town Hall on August 7, 1905.

The Bihar Provincial Kisan Sabha (BPKS) was founded in November 1929 at the Sonepur Fair by Swami Sahajanand Saraswati to mobilize peasants against zamindari exploitation.

• Provincial Reorganization: Under the Government of India Act 1935, Orissa was separated from Bihar, and Bihar became an independent separate province with its own bicameral legislature effective 1 April 1936.

• Panchayati Raj Committees: The Ashok Mehta Committee (appointed in December 1977) recommended that Nyaya Panchayats should be kept separate from development panchayats and presided over by a qualified judge.

• Administrative Jurisdictions: Public Health, Sanitation, and Public Utility Services are civic functions of Municipalities and Panchayats, whereas Maintenance of Public Order is the constitutional responsibility of the State Police and State Home Department.

Under the Seventh Schedule of the Indian Constitution, Local Government including the system of Panchayati Raj is a subject included in the State List (List II, Entry 5).

Bihar became the first state in India in 2006 to provide 50% reservation for women in Panchayati Raj Institutions, and Uttarakhand, Madhya Pradesh, and Himachal Pradesh have also legally enacted 50% reservation for women in PRIs.

• Constitutional Procedure: Under Article 109 of the Constitution of India, a Money Bill can be introduced only in the Lok Sabha on the prior recommendation of the President and cannot be introduced in the Rajya Sabha.

• Constitutional Jurisprudence: The Indian Constitution is quasi-federal, possessing federal structures (dual polity, division of powers, written constitution, bicameralism) combined with unitary soul/spirit (strong center, single citizenship, emergency provisions, integrated judiciary).

• Article 124(2): Judges of the Supreme Court of India are appointed by the President of India by warrant under his hand and seal, following the recommendations of the Supreme Court Collegium headed by the Chief Justice of India.

Under Article 64 and Article 89(1) of the Constitution of India, the Vice President of India is the ex-officio Chairman of the Council of States (Rajya Sabha).

Correct Answer: Option (A) — The Lok Sabha • Collective Responsibility: Under Article 75(3) of the Constitution of India, the Council of Ministers, headed by the Prime Minister, is collectively responsible to the House of the People (Lok Sabha).

• Constitutional Qualification: Under Article 84(b) of the Constitution of India, the minimum age required to become a member of the Lok Sabha (the lower house of Parliament) is 25 years (and 30 years for the Rajya Sabha).

Correct Answer: Option (D) — 65 years • Article 124(2): A Judge of the Supreme Court of India holds office until attaining the age of 65 years. (High Court judges retire at 62 years).

• Civil Services Hierarchy: The Cabinet Secretary is the senior-most civil servant in the Government of India, head of the Cabinet Secretariat, ex-officio chairman of the Civil Services Board, and chief coordinator of the administration.

• National Accounting Challenges: In India, the vast size of the unorganized/informal sector—where transactions lack proper financial books, records, and invoices—poses the greatest conceptual and empirical difficulty in accurately measuring National Income.

• Institutional Framework: The National Bank for Agriculture and Rural Development (NABARD) was established on July 12, 1982 under Act 61 of 1981 as the apex development financial institution providing credit and refinance for agriculture and rural development in India.

• Fiscal Devolution: The 14th Finance Commission headed by Dr. Y.V. Reddy made an unprecedented recommendation to increase the states' share in net divisible central taxes from 32% to 42%.

• DPIIT FDI Statistics: According to official data from DPIIT, the Services sector (financial, banking, insurance, business services, R&D) accounts for the largest cumulative share of FDI equity inflows into India.

Correct Answer: Option (A) — Urjit Patel (Dr. Urjit Patel served as the 24th Governor; Shaktikanta Das serves currently) • Reserve Bank Leadership: Dr. Urjit Patel served as the 24th Governor of the Reserve Bank of India.

• Agricultural Census Classification:
• Marginal holdings: Less than 1.0 hectare.
• Small holdings: 1.0 to 2.0 hectares.
• Semi-medium holdings: 2.0 to 4.0 hectares.
• Medium holdings: 4.0 to 10.0 hectares.
• Large holdings: 10.0 hectares and above.

• Economic Reforms 1991: Globalization involves integrating the domestic economy with the world economy via tariff reductions, abolition of licensing, and free capital/FDI flows. Disinvestment of public sector enterprises is a component of Privatization, not Globalization per se.

• Legislative Timeline: The Prevention of Money Laundering Act (PMLA) was enacted by Parliament in 2002 (Act No. 15 of 2003) but officially came into force on July 1, 2005.
• Statutory Framework: It was instituted to prevent money laundering and to provide for the confiscation of property derived from, or involved in, money laundering through the Enforcement Directorate (ED).

Under the World Trade Organization (WTO) framework, the acronym 'TRIMS' stands for Trade-Related Investment Measures, negotiated during the Uruguay Round.

• Cabinet Resolution: The National Institution for Transforming India (NITI Aayog) was established by a resolution of the Union Cabinet on January 1, 2015, replacing the 65-year-old Planning Commission.

• Social Innovation in Bihar: 'Gullak Bachcha Bank' (Children's Piggy Bank) was established in Patna, Bihar by Kilkari Bihar Bal Bhavan to inculcate financial literacy and saving habits among underprivileged children.

• Economic Indices: In May 2017, the Ministry of Commerce and Industry revised the base year of the Wholesale Price Index (WPI) from 2004-05 to 2011-12 to better reflect economic structural changes.

• Census 2011 Findings: According to the 2011 Census of India, Bihar recorded the lowest overall literacy rate at 61.80%, as well as the lowest male literacy rate (71.20%) and lowest female literacy rate (51.50%) among all Indian states.
• Comparative Analysis: Kerala held the highest literacy rate (94.00%), while Arunachal Pradesh and Rajasthan also ranked low, but Bihar stood at the bottom in both male and female literacy metrics.

• Agricultural Holdings: According to the Agricultural Census, the average operational holding size in Bihar is approximately 0.39 hectares, making it the second lowest among Indian states after Kerala.

Among all Indian states, Bihar has the lowest per capita income at current prices according to CSO/NSO national accounts data.

• Energy Statistics: Historically in national economic surveys, Bihar recorded the lowest per capita electricity consumption among major Indian states, which spurred massive electrification and grid expansion drives.

Among the given states, Andhra Pradesh has the highest average yield and production of cotton due to favorable black cotton soils and irrigated cultivation.

• Transport Statistics: In comparative state infrastructure indices, Bihar's road length per lakh population has historically ranked second lowest among major Indian states (after West Bengal).

According to standard historical demography estimates and NCERT Human Geography, the world population around 10,000 BC (at the dawn of agriculture) was approximately 5 million.

• Plate Tectonics: The minor Cocos Plate is an oceanic tectonic plate beneath the Pacific Ocean off the west coast of Central America, bounded by the Pacific Plate to the west and the North American/Caribbean Plates to the east.

Correct Answer: Option (D) — Pittsburg region (or Great Lakes / Pittsburgh region) • Industrial Geography: The 'Rust Bowl' (Rust Belt) of the northeastern United States refers to the declining industrial manufacturing and steel region centering historically on Pittsburgh, Pennsylvania and the Great Lakes.

• Development Economics: Nobel laureate Prof. Amartya Sen pioneered the 'Capability Approach' to human development and welfare economics, which conceptualizes well-being in terms of substantive freedoms and capabilities to do and be what one has reason to value.

• Economic Geography: Santos in Brazil is universally known as the 'Coffee Port of the World' (Porto de Santos), exporting coffee produced across the state of São Paulo.

• India State of Forest Report (ISFR): Among the four states listed, Arunachal Pradesh has the highest percentage of forest cover relative to its geographical area at approximately 79.33% (Mizoram is highest nationally at ~84.5%).

• Soil Geography: Alluvial soil is formed by the deposition of silt and sediments carried down by rivers from mountain catchments (subdivided into Khadar new alluvium and Bhangar old alluvium).

• Energy Statistics: According to the Central Electricity Authority (CEA), large hydro accounts for approximately 46,900 MW out of India's ~430,000 MW total capacity, representing about 11%–12% of total installed electricity generation.

• Demographic Transition: The year 1921 is known as the 'Year of the Great Demographic Divide' in India's census history because it was the only census period that recorded a negative population growth rate (-0.31%), followed by continuous rapid population growth ever since.

• Industrial Geography: Coimbatore is the primary textile and cotton spinning hub of South India, earning the title 'Manchester of South India' due to its dense cluster of spinning and weaving textile mills.

Correct Answer: Option (B) — Kerala • Plantation Crops: Kerala accounts for more than 70% to 75% of India's total natural rubber production, favored by its tropical humid climate and acidic laterite soils.

• Inland Water Transport: National Waterway 1 (NW-1) spans 1,620 km along the Ganga-Bhagirathi-Hooghly river system, connecting Prayagraj (Allahabad, UP) to Haldia (West Bengal).

The Khetri Belt located in the Jhunjhunu district of Rajasthan is India's most famous geological belt for copper mining and smelting.

The Punpun River originates in the Palamu district of Jharkhand and joins the Ganga River on its right bank at Fatuha near Patna.

According to Koppen's climatic classification, the climate of North Bihar and the Gangetic Plains is designated as 'Cwg' (Monsoon type with dry winters).

Newer alluvium (Khadar) soil is predominantly found in the floodplains of Muzaffarpur, Darbhanga, and Champaran districts of North Bihar, replenished annually by Himalayan rivers.

Purnia is the largest jute-producing district in Bihar, accounting for the majority of the state's raw jute output due to its humid climate and alluvial soil.

The Triveni Canal has been constructed on the Gandak River (off-taking at Bhaisalotan/Valmikinagar in West Champaran district) to irrigate north-western Bihar.

• Jain Pilgrimage Site: Lord Mahavira, the 24th Tirthankara of Jainism, attained Nirvana (salvation/Moksha) at Pavapuri in the Nalanda district of Bihar around 527 BCE, commemorated today by the sacred marble Jal Mandir situated in a lotus pond.

The Kaimur Plateau in south-western Bihar belongs to the Vindhyan rock system and is famous for rich deposits of limestone, sandstone, and shale used in cement manufacturing.

Peasant leader Swami Sahajanand Saraswati published the Hindi weekly journal 'Hunkar' from Patna starting in 1940 as the mouthpiece of the Kisan Sabha movement.

• Revolutionary History in Bihar: Revolutionary leader Sachindra Nath Sanyal established a branch of the revolutionary secret society Anushilan Samiti in Patna in 1913.

The Kisan Sabha at Munger was organized in 1922–23 under the presidency of Shah Muhammad Zubair with Shri Krishna Singh serving as its Vice-President.

When the Bihar Socialist Party was formally established in 1934 at Anjuman Islamia Hall in Patna, Acharya Narendra Dev was its President and Jayaprakash Narayan was its General Secretary.

Dr. Sachchidananda Sinha (temporary Chairman), Dr. Rajendra Prasad (permanent President), and Dr. Anugrah Narayan Sinha were all prominent members elected to the Constituent Assembly of India from Bihar.

Under the provincial autonomy framework of the Government of India Act 1935, Mohammad Yunus formed and led the first interim ministry in Bihar on 1 April 1937, prior to the Congress ministry led by Sri Krishna Sinha in July 1937.

Dr. Rajendra Prasad, in his book 'India Divided', considered Viceroy Lord Minto as the real father of Pakistan because he introduced communal separate electorates through the Morley-Minto Reforms of 1909.

• History of Patna: The historic Patna Lawn was officially renamed 'Gandhi Maidan' in 1948 following the assassination of Mahatma Gandhi as a tribute to his historic public addresses there.

The Bombay Presidency Association was established in January 1885 jointly by the 'Bombay Triumvirate'—Pherozeshah Mehta, K. T. Telang, and Badruddin Tyabji.

• Colonial Military Reform: Viceroy Lord Curzon established the Imperial Cadet Corps (ICC) in November 1901 to provide military training and officer status to sons of Indian princes and noble families.

• Historical Timeline: The British Government formally announced the decision to partition Bengal on July 19, 1905 (published July 20). The partition officially took effect later on October 16, 1905.

Correct Answer: Option (A) — Madan Lal Dhingra (sentenced to death / executed at Pentonville Prison on 17 August 1909) • Revolutionary History: Revolutionary youth Madan Lal Dhingra assassinated British official Sir William Hutt Curzon Wyllie in London on 1 July 1909 and was executed by hanging.

• Constitutional History: The Government of India Act 1919 created the office of the High Commissioner for India in the United Kingdom and transferred certain administrative duties previously performed by the Secretary of State to him.

Correct Answer: Option (C) — First (and Third; INC only attended the Second RTC in 1931 under Gandhi) • Round Table Conferences: The Indian National Congress boycotted the First RTC (1930) and Third RTC (1932), participating exclusively in the Second Round Table Conference (1931) represented solely by Mahatma Gandhi.

• INC History: Mahatma Gandhi presided over only one session of the Indian National Congress in his lifetime: the 39th annual session held at Belgaum (Karnataka) in December 1924.

The British Cabinet Mission, sent by Prime Minister Clement Attlee to India in March 1946, consisted of three British Cabinet ministers: Lord Pethick-Lawrence (Secretary of State for India), Sir Stafford Cripps (President of the Board of Trade), and A.V. Alexander (First Lord of the Admiralty). Lord Wavell was the serving Viceroy of India, not a member of the visiting Cabinet Mission.

• Historical Pamphlets: Choudhary Rahmat Ali wrote and distributed 'Now or Never; Are We to Live or Perish Forever?' in Cambridge in 1933, coining the name Pakistan.

Governor-General Lord William Bentinck declared the practice of 'Sati' illegal and punishable by criminal courts through Regulation XVII of December 1829, largely due to the efforts of Raja Ram Mohan Roy.

The Punjab Land Alienation Act was passed in 1900 during the tenure of Lord Curzon to restrict the transfer of agricultural land from peasant tribes to non-agricultural moneylenders.

The States Department (Riyasati Vibhag) was established in July 1947 under the headship of Sardar Vallabhbhai Patel, with V. P. Menon as its Secretary, to oversee the integration of princely states.

Since 342 is completely divisible by 19 (342 = 19 × 18), dividing the number by 19 leaves the same remainder as dividing 47 by 19; since 47 = 19 × 2 + 9, the remainder is 9.

Spending 66 2/3% (i.e., 2/3) of income leaves 1/3 of income as savings = Rs. 1,200; hence total monthly income = Rs. 3,600 and monthly expenses = (2/3) × 3,600 = Rs. 2,400.

• Mathematical Derivation:
• Let Cost Price (CP) = 100.
• At 20% profit, original Selling Price (SP1) = 120.
• New Selling Price (SP2) = 2 SP1 = 2 120 = 240.
• New Profit = SP2 - CP = 240 - 100 = 140.
• Percentage Profit = (140 / 100) * 100 = 140%.

Total work = \( 10W \times 7 = 70W \) work-days = \( 10C \times 14 = 140C \) work-days.

\( \implies 70W = 140C \implies 1W = 2C \).

Now, group of 5 women and 10 children:

\( 5W + 10C = 5(2C) + 10C = 20C \).

Since 10 children take 14 days, 20 children will take:

\( \text{Days} = \frac{10 \times 14}{20} = 7 \text{ days} \).

• Module: General Mental Ability: Quantitative Aptitude
• Topic: Quantitative Aptitude - Arithmetic & Algebraic Problems
• Technique: Systematic analytical problem solving aligned with official BPSC standards.

The multiples of 7 between 11 and 90 are 14 (7 × 2), 21, 28, ..., up to 84 (7 × 12), which gives a total of 12 − 2 + 1 = 11 numbers.

Downstream speed = 7.5 + 1.5 = 9 km/h and upstream speed = 7.5 − 1.5 = 6 km/h. For distance d, d/9 + d/6 = 50/60 = 5/6 hours ⇒ 5d/18 = 5/6 ⇒ d = 3 km.

The annual compounding factor is 4913 / 4624 = 17/16 (since interest for the 3rd year on Rs. 4,624 is Rs. 289, giving rate = 289/4624 = 1/16 = 6.25%). Thus, Principal P = 4624 × (16/17)² = 16 × 256 = Rs. 4,096.

Annual dividend per share = 9% of Rs. 20 = Rs. 1.80. Since the investor desires a 12% return on his investment (market value M), 12% of M = 1.80 ⇒ M = (1.80 × 100) / 12 = Rs. 15.

• Data Interpretation: Expenditure angle on Cricket = 63°, Football = 54°. Difference = 63 - 54 = 9°. Percentage less spent = (9) / (63) × 100 = (1) / (7) × 100 = 14(2) / (7)\%. In the question options with OCR typesetting, Option (A) represents the calculation benchmark.

Correct Answer: Option (D) — 4 • Partnership: Profit ratio = (76000 × 12) / (57000 × x) = (2) / (1) \implies (76 × 12) / (57 × x) = 2 \implies (912) / (57x) = 2 \implies 114x = 912 \implies x = 8 months invested. Therefore, B joined after 12 - 8 = 4 months.