2022

Both instruments belong to the IMF. The Rapid Financing Instrument provides rapid financial assistance to any member facing an urgent balance of payments need, without the need for a full-fledged programme or ex post conditionality. The Rapid Credit Facility is its concessional counterpart, available to low income members under the Poverty Reduction and Growth Trust.

• Option (a) is wrong because the Asian Development Bank is a regional development bank whose lending is project and programme finance for infrastructure and sectoral development, not emergency balance of payments support.
• Option (d) is wrong because World Bank lending through IBRD and IDA is development lending against projects and policy reform; its rapid response instruments carry different names, such as the Catastrophe Deferred Drawdown Option.
• Option (c) is wrong on a category error: the UNEP Finance Initiative is a partnership between UNEP and the financial sector to mainstream sustainability into finance, and it is not a lender at all.

Hence (b).

• Statement 1 is correct. NEER is a trade weighted index of the bilateral nominal exchange rates of the rupee against a basket of currencies, and under the RBI convention the index is constructed so that a rise signifies appreciation of the rupee against the basket.
• Statement 2 is incorrect and is the trap in the question. REER is NEER adjusted for relative price levels. A rise in REER means the rupee has appreciated in real terms, so Indian goods become dearer relative to competitors and trade competitiveness worsens rather than improves.
• Statement 3 is correct. REER differs from NEER precisely by the relative price term, so when domestic inflation runs persistently above foreign inflation the adjustment factor grows and the two indices move apart, with REER rising relative to NEER even if the nominal rate is stable. Since 1 and 3 hold and 2 fails, (c) is the answer.
• Option (a) and (d) both wrongly admit statement 2, and (b) wrongly rejects the straightforward statement 1 while admitting 2.

• Statement 1 is incorrect. Buying government securities is an open market purchase, which injects rupee liquidity into the banking system and is expansionary. Faced with high inflation the RBI would do the opposite and sell securities to absorb liquidity, alongside raising the policy rate.
• Statement 2 is correct. Rapid depreciation means excess demand for dollars, and the RBI supplies dollars from reserves to meet that demand and curb disorderly movement.
• Statement 3 is correct. Lower interest rates in the United States or the euro area widen the interest differential in India's favour and pull portfolio capital in. The resulting dollar inflow puts appreciation pressure on the rupee, and the RBI typically absorbs the surplus dollars by buying them, which simultaneously builds reserves and limits appreciation.
• Statements 2 and 3 therefore hold, giving (b).
• Options (a), (c) and (d) all fail because each admits statement 1, whose direction of open market operation is reversed.

• Statement 1 is correct. The Common Framework for Debt Treatments beyond the Debt Service Suspension Initiative was agreed in November 2020 and endorsed jointly by the G20 and the Paris Club, the point of the design being to bring non Paris Club official bilateral creditors, China above all, into a coordinated restructuring process.
• Statement 2 is correct. Eligibility is confined to the countries eligible for the DSSI, essentially low income countries, and the Framework is triggered where debt is assessed as unsustainable rather than merely illiquid, providing for reprofiling or reduction with comparable treatment expected from private creditors. Both statements being correct, (c) follows.
• Options (a) and (b) each reject a true statement, and (d) rejects both.

• Statement 1 is correct. A conventional bond must offer a nominal coupon that embeds an inflation risk premium to compensate the lender for uncertain future price levels. Because an indexed bond transfers that risk back to the issuer by adjusting principal with the index, the investor no longer demands the premium and the government can borrow at a lower stated coupon, which is charged on an inflation adjusted principal.
• Statement 2 is correct and is simply the other side of the same mechanism: indexation of principal, and therefore of the interest computed on it, insulates the holder from unanticipated inflation and preserves the real value of the investment.
• Statement 3 is incorrect. IIBs carry no special tax exemption. Interest income and capital gains are taxed under the extant provisions of the income tax law, and the absence of a tax shield on the inflation compensation is in fact a standing criticism of the instrument. With 1 and 2 correct and 3 incorrect, (a) is the answer.
• Options (b), (c) and (d) each wrongly admit the tax exemption in statement 3.

• Statement 1 is incorrect. Under the FDI policy, foreign investment up to 100 per cent under the automatic route is permitted only in the marketplace model of e-commerce, where the entity provides an information technology platform acting as a facilitator between buyer and seller. The inventory based model, in which the entity owns the goods and sells them directly to consumers, is closed to foreign investment. A foreign owned firm therefore cannot sell its own goods alongside running the marketplace.
• Statement 2 is incorrect, and the error lies in the word limited, which implies a permitted threshold. Press Note 2 of 2018 bars the arrangement outright: an entity in which the marketplace entity or its group companies hold equity participation, or over which they exercise control of inventory, is not permitted to sell on that marketplace at all. There is no permissible degree of ownership of a seller, so a statement framing it as a matter of degree is false. Since both statements fail, (d) is correct, and options (a), (b) and (c) each admit at least one false statement.

The real sector comprises activities that produce goods and services and thereby generate value added, as against the financial sector, which intermediates claims on that output without itself creating goods or services.

• Item 1 is real sector: harvesting is primary production and enters value added directly.
• Item 2 is real sector: converting raw cotton into fabric is manufacturing, a transformation of physical inputs into a physical output.
• Item 3 is not real sector: bank lending is a financial intermediation transaction that creates a claim, and while the banking service itself is counted in output, the act of lending money is a financial flow, not production of goods.
• Item 4 is not real sector: issuing Rupee Denominated Bonds, or masala bonds, overseas is a capital raising transaction in the financial market. Only 1 and 2 qualify, so (a) is correct.
• Options (b), (c) and (d) each admit at least one financial transaction, and the two clearly financial items give a candidate a straightforward elimination route.

An indirect transfer arises where the shares of a foreign entity change hands offshore, but those shares derive their value substantially from assets situated in India, so that control over Indian assets passes without any Indian asset being formally transferred. India asserted taxing rights over such transactions through the retrospective amendment of 2012, giving rise to the Vodafone and Cairn disputes, and the retrospective element was withdrawn in 2021.

• Option (d) states exactly this and is correct.
• Option (a) describes an ordinary outbound investment taxed by the source country on the profits it earns; there is no transfer of shares and nothing indirect.
• Option (b) describes residence based taxation of a foreign investor's profits by its home state, which is a question of double taxation relief, not of indirect transfer.
• Option (c) describes a direct transfer of tangible assets held abroad, with the gain and the assets both located outside India, so no Indian nexus of the kind that defines an indirect transfer exists.

Hence (d).

• Statement 1 is correct. Capital expenditure is outlay that creates an asset or yields a benefit extending beyond the current accounting period. Acquiring new technology, whether embodied in plant or held as an intangible such as a licence or patent, produces exactly such an enduring benefit and is capitalised rather than written off against current revenue.
• Statement 2 is incorrect on a more basic ground than the classification it proposes. Debt financing and equity financing are not expenditure at all; they are sources of funds, financing activities that appear on the liabilities and equity side of the balance sheet. Raising money by issuing bonds or shares does not consume resources in the way that expenditure does, so neither can be classed as capital or revenue expenditure. Only statement 1 survives, so (a) is correct.
• Options (b) and (c) admit the category error in statement 2, and (d) wrongly rejects the sound statement 1.

• Statement 1 is correct. Household financial savings are the principal pool from which government borrowing is ultimately financed. The channel is partly direct, through small savings instruments whose collections flow into the National Small Savings Fund and are on lent to the Centre and States, and partly indirect, through bank deposits and insurance and provident fund contributions that are deployed in government securities, in the case of banks partly to meet the statutory liquidity ratio.
• Statement 2 is correct. Within the Centre's internal debt, dated securities issued through auctions conducted by the RBI at market determined rates constitute the single largest component, well ahead of treasury bills and other liabilities. Both statements holding, (c) is the answer.
• Options (a) and (b) each reject a correct statement and (d) rejects both.

• Statement 1 is correct. The H.N. Sanyal Committee, set up in 1961, examined the unsatisfactory state of the law of contempt and its recommendations led to the enactment of the Contempt of Courts Act, 1971.
• Statement 2 is correct. Article 129 declares the Supreme Court a court of record with power to punish for contempt of itself, and Article 215 makes the identical provision for the High Courts.
• Statement 3 is incorrect and is the discriminating statement. The Constitution nowhere defines contempt; the twofold classification into civil contempt, meaning wilful disobedience of a judgment or undertaking, and criminal contempt, meaning scandalising the court or interfering with the administration of justice, is supplied by Section 2 of the 1971 Act.
• Statement 4 is correct. Parliament's competence flows from Entry 77 of the Union List read with Entry 14 of the Concurrent List, and Article 142(2) also contemplates law made by Parliament on contempt of the Supreme Court.
• Statements 1, 2 and 4 being correct, (b) is the answer.
• Options (c) and (d) rest on the false statement 3, and (a) drops the correct statement 4.

• Statement 1 is incorrect. The scheme of the Advocates Act, 1961 and the Bar Council of India Rules does not draw the line the statement describes. Recognition as an advocate turns on enrolment with a State Bar Council, which is open to individuals meeting the prescribed qualifications; a legal firm as an entity is not itself enrolled as an advocate. Conversely, Rule 49 of the Bar Council of India Rules bars a full time salaried employee from practising as an advocate for so long as the employment continues, which cuts against, rather than supports, the claim that government law officers are recognised while corporate lawyers are categorically excluded. The statement is therefore wrong on both halves.
• Statement 2 is correct. Section 7 of the Advocates Act charges the Bar Council of India with promoting legal education and laying down standards of legal education in consultation with the universities, and with recognising universities whose degree in law shall qualify a person for enrolment, which is the power to recognise law colleges for that purpose. Only statement 2 stands, giving (b).
• Options (a) and (c) admit the false statement 1, and (d) rejects the sound statement 2.

• Statement 1 is incorrect. Article 368 permits an amendment to be initiated only by the introduction of a Bill in either House of Parliament, and it expressly requires no prior recommendation or previous sanction of the President. The requirement of prior recommendation attaches to Money Bills and to certain other categories, not to amendment Bills, and the confusion between the two is what the statement exploits.
• Statement 2 is correct. The Twenty fourth Amendment inserted a proviso to Article 368(2) making it obligatory for the President to give assent to a Constitution Amendment Bill duly passed, removing the discretion that had been argued for earlier.
• Statement 3 is correct. Each House must pass the Bill separately by a majority of the total membership of that House and by a majority of not less than two thirds of members present and voting, and because the requirement is of separate passage in each House there is no provision for resolving a deadlock through a joint sitting.
• Statements 2 and 3 hold, so (b) is correct; options (a), (c) and (d) each admit the false statement 1.

• Statement 1 is incorrect. The Constitution speaks only of a Council of Ministers headed by the Prime Minister and, in Article 352, of the Cabinet as a defined body for the limited purpose of advising on a proclamation of Emergency. The gradation into Cabinet Minister, Minister of State with Independent Charge, Minister of State and Deputy Minister is a matter of executive practice and convention, not of constitutional classification.
• Statement 2 is correct. Article 75(1A), inserted by the Ninety first Amendment of 2003, caps the total number of ministers in the Union Government, including the Prime Minister, at fifteen per cent of the total number of members of the Lok Sabha. Only statement 2 stands, so (b) is the answer.
• Options (a) and (c) admit the false statement 1, and (d) rejects a well settled constitutional provision.

• Item 1 is not exclusive. A proclamation of Emergency must be approved by resolutions of both Houses within the prescribed period, and the Rajya Sabha's role is in fact enhanced where the Lok Sabha stands dissolved.
• Item 2 is exclusive. Because the Council of Ministers is collectively responsible to the House of the People alone under Article 75(3), only the Lok Sabha can pass a motion of no confidence against it.
• Item 3 is not exclusive. Impeachment of the President under Article 61 may be initiated in either House, and the charge preferred by one House is investigated by the other, so both Houses necessarily participate. Only item 2 qualifies, giving (b).
• Options (a) and (c) wrongly treat Emergency ratification as a Lok Sabha monopoly, and (c) and (d) wrongly treat presidential impeachment the same way.

• Statement 1 is incorrect, and it inverts the rule. Under the Tenth Schedule a nominated member incurs disqualification if he joins a political party after the expiry of six months from the date on which he takes his seat. The six month window is thus a period of permission, deliberately provided so that a nominated member may align with a party, and the disqualification bites only on joining afterwards.
• Statement 2 is correct. The Tenth Schedule vests the decision on disqualification in the Chairman or Speaker but prescribes no time limit for it, a silence that has allowed defection petitions to remain undecided for the life of a House and that the Supreme Court has repeatedly criticised while suggesting Parliament reconsider the arrangement. Only statement 2 holds, so (b) is correct.
• Options (a) and (c) admit the inverted statement 1, and (d) rejects the accurate statement 2.

• Statement 1 is incorrect. Article 88 confers on the Attorney General alone the right to speak in and otherwise take part in the proceedings of either House, any joint sitting, and any committee of Parliament of which he is named a member, though without a right to vote. The Solicitor General enjoys no such constitutional right; that office is a statutory and executive appointment as a law officer, not a constitutional office under Article 76. Coupling the two in a single claim of exclusivity is therefore wrong.
• Statement 2 is incorrect. The Constitution provides only that the Attorney General holds office during the pleasure of the President and receives such remuneration as the President determines. It lays down no procedure for resignation and says nothing about the fall of the government. The practice by which the Attorney General resigns when the government that advised his appointment leaves office is a convention, and the statement's attribution of it to the Constitution is what makes it false. Both statements failing, (d) is correct, and options (a), (b) and (c) each accept at least one false statement.

• Statement 1 is correct and is uncontroversial. Mandamus commands the performance of a public duty, so it does not lie against a purely private body; where a private organisation has been entrusted with a public function or duty, the writ becomes available in respect of that function.
• Statement 2 is treated as correct by the official key. The proposition reproduces a classical formulation found in standard constitutional law texts, which list among the grounds on which mandamus does not lie the case of a company, even a government company, on the reasoning that the relationship rests on contract rather than on a statutory public duty.
• Statement 3 is correct. Quo warranto is an exception to the general rule of locus standi; because the writ questions the very title to a public office, any member of the public may move the court even though he has suffered no personal injury. All three statements being taken as correct, (d) follows, and options (a), (b) and (c) each drop a statement the key treats as sound.

• Statement 1 is incorrect. Participation in the Mission is voluntary for health facilities and health professionals; hospitals in both the public and private sectors choose whether to register in the Health Facility Registry, and no compulsion to adopt exists.
• Statement 2 is incorrect for the same reason applied to individuals. Creation of an ABHA health account and the linking of records to it rest on the consent of the individual, and the Mission's own design places consent and the right to withdraw at the centre. The universal health coverage objective does not translate into an obligation for every citizen to enrol, and the word should in the statement is what makes it fail.
• Statement 3 is correct. The architecture of federated registries and a consent based health information exchange is built precisely so that a person's records can be accessed by an authorised provider anywhere in the country, which is the portability the Mission claims. Only statement 3 holds, giving (b), and options (a), (c) and (d) each admit a compulsion that the scheme does not impose.

• Statement 1 is correct. Rule 8 of the Rules of Procedure and Conduct of Business in Lok Sabha provides that the election of the Deputy Speaker shall be held on such date as the Speaker may fix, which is the very provision at the heart of the controversy over the office being left vacant.
• Statement 2 is incorrect. Article 93 requires only that the House choose two members to be Speaker and Deputy Speaker; the practice since the fourth Lok Sabha of offering the post to the opposition is a convention and carries no mandatory force, and nothing confines the choice to the principal opposition party or the ruling party.
• Statement 3 is correct. When presiding, the Deputy Speaker exercises the same powers as the Speaker, and his rulings, like the Speaker's, are not subject to appeal within the House.
• Statement 4 is incorrect. The Speaker does not move motions of this kind; a member gives notice of the motion and another member seconds it, and the description of the Speaker moving and the Prime Minister seconding is not the established practice.
• Statements 1 and 3 hold, so (a) is correct, and options (b), (c) and (d) each admit one of the two invented propositions.

• Statement 1 is correct. SRI transplants single young seedlings at wide spacing rather than clumps of older seedlings densely, so seed requirement falls very sharply relative to conventional transplanting, commonly by an order of magnitude.
• Statement 2 is correct and follows from the same anaerobic chemistry that makes paddy a methane source. Alternate wetting and drying admits oxygen to the soil during the drying phase, which suppresses the strictly anaerobic methanogens and allows methanotrophs to oxidise some of the methane already formed, so net emission falls.
• Statement 3 is correct as a second order consequence. Intermittent irrigation reduces the volume of water applied over the season, and where that water is lifted by electric pumpsets, as it is across much of the Indian rice belt, less pumping means less electricity drawn. All three hold, so (d) is correct; options (a), (b) and (c) each drop a consequence that follows from the practice.

Lake Faguibine lies in northern Mali, in the Sahelian floodplain fed by the Niger through a system of channels near Timbuktu. Successive droughts from the early 1970s, compounded by reduced flood inflow and silting of the feeder channels, dried the lake, and its bed has since been colonised by sand and scrub, so that a formerly extensive water body now presents a desert landscape.

• Option (a) is wrong on location before anything else: Lake Victoria is in East Africa and remains the continent's largest lake by area.
• Option (c) is wrong because Lake Oguta, in Imo State in southeastern Nigeria, is a small natural lake that has not dried.
• Option (d) is wrong because Lake Volta in Ghana is not a natural lake at all but one of the world's largest reservoirs by surface area, impounded by the Akosombo Dam, and it holds water.

Hence (b).

The gorge at Gandikota lies in the Kadapa district of Andhra Pradesh, where the Pennar, or Penna, has incised a deep canyon through the quartzite of the Erramala hills, the feature that gives the site its popular description as the Grand Canyon of India and its name, which refers to the narrow gap beside the fort.

• Option (a) is wrong because the Cauvery rises in Karnataka and drains through Tamil Nadu to the Bay of Bengal well to the south, its notable gorge features being at Hogenakkal and Shivanasamudra.
• Option (b) is wrong because the Manjira is a tributary of the Godavari flowing through Telangana and does not reach the Kadapa region.
• Option (d) is wrong because the Tungabhadra, a Krishna tributary, flows to the north of this tract through the Hampi region.

Hence (c).

• Pair 1 is incorrectly matched. Namcha Barwa stands at the eastern extremity of the Himalaya in Tibet, marking the syntaxial bend where the Tsangpo turns south through its great gorge to become the Siang and then the Brahmaputra. It lies far to the east of the Garhwal Himalaya, which occupies the western part of Uttarakhand.
• Pair 2 is correctly matched. Nanda Devi, the highest peak lying wholly within India, is in the Kumaon Himalaya of eastern Uttarakhand and gives its name to the surrounding national park and biosphere reserve.
• Pair 3 is incorrectly matched. Nokrek is the highest point of the Garo Hills in Meghalaya, part of the Meghalaya plateau of the peninsular block, and is known chiefly as a biosphere reserve with wild citrus germplasm. It is neither in Sikkim nor in the Himalaya at all, which is the sharper error. Only pair 2 stands, giving (b); options (a) and (c) admit the misplaced Namcha Barwa, and (c) and (d) admit the misplaced Nokrek.

The Levant is the historic name for the lands along the eastern shore of the Mediterranean, covering Syria, Lebanon, Israel, Palestine, Jordan and the adjoining coastal fringe of southern Turkey, with Cyprus sometimes included. The name derives from the rising of the sun in the east, which is the sense in which the region was seen from western Europe.

• Option (a) states this and is correct.
• Option (b) describes the Maghreb, the western North African belt from Egypt through Libya, Tunisia, Algeria and Morocco, which lies on the opposite side of the Mediterranean basin.
• Option (c) conflates two distinct regions, the Persian Gulf littoral and the Horn of Africa, neither of which touches the Mediterranean at all.
• Option (d) is wrong by overextension: the Levant is one segment of the Mediterranean coast, not the whole of it, and taking the entire littoral would absorb southern Europe and North Africa into the term.

Hence (a).

Afghanistan's northern frontier is formed by three Central Asian republics. Tajikistan shares the longest of these borders, running largely along the Panj headwater of the Amu Darya. Uzbekistan shares a short border in the north, crossed by the Friendship Bridge at Termez and Hairatan. Turkmenistan borders Afghanistan in the north west. Country 1, Azerbaijan, lies in the South Caucasus, separated from Afghanistan by the Caspian Sea and the whole width of Turkmenistan or Iran, and shares no border with it. Country 2, Kyrgyzstan, lies to the north east beyond Tajikistan, and the intervening Tajik territory, including the Wakhan corridor arrangement, keeps the two apart.

• Items 3, 4 and 5 therefore qualify and (c) is correct.
• Options (a), (b) and (d) each admit Azerbaijan or Kyrgyzstan or both, and the Kyrgyzstan error is the more tempting because it is genuinely a Central Asian state.

• Statement 1 is correct. Monazite is a phosphate of the light rare earth elements, chiefly cerium, lanthanum, neodymium and praseodymium, and it is the principal rare earth bearing mineral worked in India.
• Statement 2 is correct. Monazite characteristically carries thorium in the lattice, typically of the order of eight to ten per cent as thorium dioxide, which is why India's beach sands underpin the thorium based third stage of the nuclear programme.
• Statement 3 is incorrect, and the word entire is the giveaway. Monazite occurs in economically significant concentration only in particular placer deposits, principally along the Kerala and Tamil Nadu coasts and in parts of Odisha and Andhra Pradesh, where wave and current sorting has concentrated the heavy minerals. Long stretches of the Indian coast carry no such deposits.
• Statement 4 is correct. Monazite is a prescribed substance under the Atomic Energy Act on account of its thorium content, and its processing and export are reserved to government entities, in practice Indian Rare Earths Limited, while private operators may handle the other beach sand minerals.
• Statements 1, 2 and 4 hold, giving (b).
• Options (a), (c) and (d) each admit the overstated distribution claim in statement 3.

• Pair 1 is incorrectly matched. Hokera, or Hokersar, is a Ramsar site in the Kashmir valley of Jammu and Kashmir, lying north west of Srinagar and fed by the Doodhganga, and it is a well known wintering ground for migratory waterfowl on the Central Asian Flyway. It is not in Punjab.
• Pair 2 is correctly matched. The Renuka wetland lies in Sirmaur district of Himachal Pradesh and is the state's largest natural lake, designated under the Ramsar Convention.
• Pair 3 is correctly matched. Rudrasagar, also called Twijilikma, is in Tripura and is a Ramsar site, best known for the Neermahal palace standing in it.
• Pair 4 is incorrectly matched. Sasthamkotta is in Kollam district of Kerala and is the largest freshwater lake in that state, supplying drinking water to Kollam town. It is not in Tamil Nadu. Exactly two pairs are correct, so (b) is the answer.
• Option (a) understates and options (c) and (d) overstate the count, each requiring at least one of the two clear misplacements to be accepted.

All three statements describe the defining claims of Web 3.0 as the term is currently used.

• Statement 1 is correct because the central proposition of Web 3.0 is user ownership of data, with identity and records held in user controlled wallets or decentralised identifiers rather than in the databases of platform companies.
• Statement 2 is correct because blockchain based social networks, in which the social graph and the content are recorded on a distributed ledger rather than on a company's servers, are among the most cited applications of the model.
• Statement 3 is correct in the same sense, describing collective operation by users through distributed nodes and, in the fuller versions of the idea, through decentralised autonomous organisations that hold governance rights, as against a single corporation owning and operating the service. All three holding, (d) is correct, and options (a), (b) and (c) each drop one of the three characteristic claims.

Software as a Service is the cloud delivery model in which an application is hosted centrally by a provider and consumed by subscribers over a network, with the provider retaining responsibility for the infrastructure, the platform and the application itself.

• Statement 1 is correct. Within the limits the vendor exposes, subscribers routinely configure the user interface and define or modify data fields, which is how a single hosted instance serves many organisations with different requirements.
• Statement 2 is correct and follows directly from the delivery model: because the application and the data sit on the provider's infrastructure and are reached over the network, any authorised device including a mobile handset can access them.
• Statement 3 is correct. Web based mail services are the most familiar consumer instance of SaaS, since the user runs no software locally and the provider hosts the application and stores the data. All three holding, (d) is correct, and options (a), (b) and (c) each drop a true statement.

A fractional orbital bombardment system delivers a warhead by first placing it in a low orbit and then braking it out of that orbit over the target, instead of flying the high ballistic arc of a conventional intercontinental missile. The military attraction is that the trajectory is low and can approach from any direction, including over the South Pole, which defeats early warning radars oriented along expected ballistic corridors and compresses warning time.

• Option (c) captures this and is correct.
• Option (a) describes planetary defence against an asteroid, an entirely civilian application with no bombardment of a terrestrial target.
• Option (b) describes an orbiter and lander sequence of the kind used in interplanetary missions.
• Option (d) describes a comet rendezvous and lander, the profile flown by Rosetta and Philae.

Hence (c).

A qubit, or quantum bit, is the unit of information in quantum computing. Where a classical bit must be either zero or one, a qubit is a two level quantum system whose state is in general a superposition of the two basis states, and multiple qubits can be entangled so that the state of the register cannot be described as a mere list of individual qubit states. It is this superposition and entanglement that permit quantum algorithms to explore a computational space in a way classical hardware cannot.

• Option (b) is therefore correct.
• Option (a) is wrong because cloud services are a delivery model for classical computing resources and carry no such unit, notwithstanding that quantum processors are now offered over the cloud.
• Options (c) and (d) are wrong because visible light communication and wireless communication are transmission technologies whose vocabulary concerns modulation, bandwidth and spectrum, not quantum states.

A biofilm is a community of microorganisms adhering to a surface and embedded in a self produced matrix of extracellular polymeric substances, and the three statements describe its best documented properties.

• Statement 1 is correct: catheters, prosthetic joints, heart valves and other indwelling devices are classic substrates, and device associated biofilm infection is a major clinical problem precisely because the implant offers an abiotic surface shielded from host defences.
• Statement 2 is correct: biofilms form readily on food contact surfaces and processing equipment, which is why sanitation regimes in food plants target them specifically.
• Statement 3 is correct and is the property that matters most clinically. Cells within a biofilm tolerate antibiotic concentrations orders of magnitude above those that kill the same organisms in free floating culture, because the matrix impedes penetration, the interior cells are metabolically slow and so escape agents that act on growing cells, and persister subpopulations survive treatment. All three holding, (d) is correct; options (a), (b) and (c) each omit a well established property.

• Statement 1 is correct. Probiotic preparations draw on both bacteria, chiefly lactic acid bacteria of the genera Lactobacillus and Bifidobacterium, and yeasts, of which Saccharomyces boulardii is the standard example used against antibiotic associated diarrhoea.
• Statement 2 is incorrect, and it is the discriminating statement. Probiotic organisms are not foreign to the human gut; lactobacilli and bifidobacteria are ordinary residents of the healthy intestinal flora, and the rationale of probiotic administration is to restore or reinforce a population that already belongs there rather than to introduce an alien one.
• Statement 3 is correct. Lactic acid bacteria produce beta galactosidase, which hydrolyses lactose, so probiotic and fermented dairy products improve the tolerance of milk sugar in individuals with low intestinal lactase, which is the observed benefit in lactose maldigestion.
• Statements 1 and 3 hold and 2 fails, giving (c).
• Options (b) and (d) admit the false claim that these organisms do not occur naturally in the gut, and (a) drops the well supported statement 3.

• Statement 1 is incorrect. Covishield, manufactured by the Serum Institute of India under licence from Oxford and AstraZeneca, is a replication deficient chimpanzee adenovirus vector carrying the gene for the spike protein. It is not an mRNA vaccine; the mRNA platform in the COVID-19 context belongs to the Pfizer BioNTech and Moderna products, neither of which was made by the Serum Institute.
• Statement 2 is correct. Sputnik V is a viral vector vaccine and is distinctive in using two different adenovirus vectors, Ad26 for the first dose and Ad5 for the second, a heterologous prime boost designed to avoid the anti vector immunity that would blunt a repeat dose of the same vector.
• Statement 3 is correct. COVAXIN, developed by Bharat Biotech with the Indian Council of Medical Research and the National Institute of Virology, is a whole virion inactivated vaccine, in which the virus is killed and presented with an adjuvant.
• Statements 2 and 3 holding, (b) is correct, and options (a), (c) and (d) each accept the platform error in statement 1.

The effects of a severe geomagnetic storm follow from the coupling of solar energetic particles and the interplanetary magnetic field to the earth's magnetosphere and ionosphere.

• Item 1 holds because ionospheric disturbance corrupts the propagation delay of satellite navigation signals and degrades or denies a position fix.
• Item 3 holds because a rapidly varying geomagnetic field induces currents in long conductors, and these geomagnetically induced currents can saturate and damage grid transformers, as at Quebec in 1989.
• Item 4 holds because energetic particles precipitating along field lines excite atmospheric atoms, and in a severe storm the auroral oval expands far towards the equator.
• Item 6 holds because absorption of energy heats and expands the upper atmosphere, raising drag on low orbiting satellites and decaying their orbits.
• Item 7 holds because polar routes depend on high frequency radio, and enhanced ionisation absorbs those signals during a storm.
• Item 2 fails because tsunamis are generated by the sudden displacement of a water column through seismic or landslide events; there is no mechanism by which a magnetic disturbance moves the ocean floor.
• Item 5 fails likewise, since no plausible energy pathway ignites forests worldwide.
• Items 1, 3, 4, 6 and 7 therefore hold, giving (c), and options (a), (b) and (d) each admit the tsunami or forest fire claim, which offers a clean elimination route.

The Climate Action Tracker is an independent scientific project run jointly by two research organisations, Climate Analytics and the NewClimate Institute, which assesses national climate pledges and policies against the temperature goals of the Paris Agreement and publishes ratings such as critically insufficient or almost sufficient.

• Option (a) describes exactly this and is correct.
• Option (b) fails twice over: the body it names is the Intergovernmental Panel on Climate Change, not the International Panel, and the IPCC assesses published science through periodic reports rather than rating individual countries' pledges, which would compromise its intergovernmental character.
• Option (c) is wrong because the tracker's value lies in its independence from the treaty machinery; under the UNFCCC the transparency framework and the global stocktake perform the official review function.
• Option (d) is wrong because the tracker is not an agency of, nor financed by, UNEP and the World Bank, though UNEP publishes its own separate Emissions Gap Report on a related question.

Hence (a).

• Statement 1 is correct. The Climate Group is an international non profit that works by convening and running networks of businesses and subnational governments, of which RE100, EP100 and EV100 are the best known.
• Statement 2 is incorrect. EP100 was launched by the Climate Group itself, delivered in partnership with the Alliance to Save Energy, not by the International Energy Agency.
• Statement 3 is correct and states the initiative's own purpose: member companies commit to doubling energy productivity, or to equivalent efficiency commitments, on the argument that efficiency cuts cost and emissions together.
• Statement 4 is correct; a number of Indian companies, including cement and manufacturing firms, are among the members, and Indian participation in the Climate Group's corporate campaigns has been prominent.
• Statement 5 is incorrect. The Climate Group is the Secretariat to the Under2 Coalition, the network of state and regional governments committed to keeping warming well below two degrees, and the International Energy Agency has no such role.
• Statements 1, 3 and 4 hold, giving (b).
• Options (a), (c) and (d) each accept one or both of the two misattributions to the International Energy Agency, which is the single trick the question turns on.

The analogy has to be read for what the organ does. A kidney filters the blood and removes dissolved wastes and excess solutes from circulation. The wetland function that corresponds is the removal of dissolved contaminants from water, and option (d) states it: aquatic macrophytes take up heavy metals and strip excess nitrogen and phosphorus, which is the basis of constructed wetlands for effluent treatment and of the natural purification that wetlands perform for the catchments they sit in.

• Option (a) describes hydrological pathways, which relate to water storage and recharge rather than to purification.
• Option (b) describes primary productivity and the food web the wetland supports, a nutritive rather than an excretory function.
• Option (c) is the strongest distractor because sediment trapping is genuinely a filtering action, but it is a physical settling of suspended particles that better answers a description of the wetland as a sieve; the kidney metaphor points to the removal of dissolved substances, which is what (d) alone supplies.

Hence (d).

• Statement 1 is correct and reproduces the 2021 revision of the guidelines, which lowered the annual mean guideline for PM2.5 to five micrograms per cubic metre and the twenty four hour mean to fifteen, tightening the earlier values of ten and twenty five.
• Statement 2 is incorrect, and it inverts the meteorology. Ground level ozone is a secondary pollutant formed when nitrogen oxides and volatile organic compounds react under sunlight, so peak concentrations occur in hot, sunny, stagnant conditions rather than during inclement weather, which brings cloud, wind and washout.
• Statement 3 is incorrect, and it is the fine trap for a well prepared candidate. It is PM2.5 that is small enough to cross the alveolar barrier and enter the bloodstream, while PM10 is largely deposited in the upper airways and the conducting passages; the statement transfers to the coarse fraction a property that belongs to the fine one.
• Statement 4 is correct. Ozone is a powerful airway irritant that provokes bronchoconstriction and inflammation and is a recognised trigger of asthma attacks.
• Statements 1 and 4 holding, (b) is the answer, and options (a), (c) and (d) each admit one of the two inverted claims.

• Statement 1 is correct. Gucchi is the morel, a fungus of the genus Morchella, whose distinctive honeycombed cap is the fruiting body of the organism.
• Statement 2 is correct. It grows wild in the temperate coniferous and broadleaf forests of the western Himalaya, in Jammu and Kashmir, Himachal Pradesh and Uttarakhand, appearing after the snow melts.
• Statement 3 is incorrect on both of its elements. Morels have resisted reliable commercial cultivation because they depend on complex and imperfectly understood soil and mycorrhizal conditions, so the supply comes almost wholly from wild collection by hill communities, and this is precisely why the mushroom commands so high a price. The geography is wrong as well, since the harvest is from the western Himalaya rather than the north eastern foothills.
• Statements 1 and 2 holding, (c) is correct; options (b) and (d) admit the cultivation claim, and (a) drops the sound statement 2.

• Statement 1 is correct. Polyethylene terephthalate drawn into fibre is polyester, and polyester and cotton or polyester and wool blends are among the commonest textile constructions, the synthetic component contributing strength, crease resistance and dimensional stability to the natural fibre.
• Statement 2 is incorrect, and the word any is what defeats it. PET is standard for water and carbonated soft drinks, but it is not suitable for the whole range of alcoholic beverages; spirits of high alcohol content act as a solvent on the polymer over time, promoting migration of monomer and additives, and PET's permeability to oxygen and carbon dioxide is a further limitation.
• Statement 3 is correct. PET is among the most widely recycled polymers, mechanically reprocessed into fibre for textiles, into sheet and strapping, and back into bottles, and chemical depolymerisation routes exist as well.
• Statement 4 is incorrect on elementary grounds. PET is a hydrocarbon polymer, so its combustion necessarily yields carbon dioxide, and incineration of plastics is therefore a source of greenhouse gas, quite apart from the other pollutants involved.
• Statements 1 and 3 hold, giving (a).
• Options (b), (c) and (d) each rest on statement 2 or statement 4, and statement 4's chemical impossibility gives a candidate a secure elimination route.

The golden mahseer, Tor putitora, is a large freshwater fish of the Himalayan and sub Himalayan rivers, prized as a sport fish and listed as endangered on account of dam construction, flow alteration and overfishing. It is therefore the odd one out and option (a) is correct.

• Option (b), the Indian nightjar, is a nocturnal insectivorous bird of open scrub, cryptically plumaged and known by its distinctive call.
• Option (c), the spoonbill, is a wading bird named for its spatulate bill, which it sweeps sideways through shallow water to feed.
• Option (d), the white ibis, more properly the black headed ibis in the Indian context, is a wetland wading bird with a long down curved bill. Since the other three are all birds, the fish is the answer.

Biological nitrogen fixation in crop plants is overwhelmingly a property of the legume family, Fabaceae, whose roots form nodules housing symbiotic rhizobia that reduce atmospheric nitrogen to ammonia in exchange for photosynthate. The question therefore reduces to identifying which of the six plants are legumes.

• Item 1, alfalfa or lucerne, Medicago sativa, is a legume and a classic nitrogen fixing fodder crop.
• Item 3, chickpea, Cicer arietinum, is a legume pulse.
• Item 4, clover, Trifolium species, is a legume long used in rotations for exactly this reason.
• Items 2 and 6, amaranth and spinach, both belong to the Amaranthaceae and fix no nitrogen; they are leafy vegetables that draw nitrogen from the soil.
• Item 5, purslane or kulfa, Portulaca oleracea, belongs to the Portulacaceae and likewise does not fix nitrogen, though it is noted for other traits such as its succulence and fatty acid content.
• Items 1, 3 and 4 alone qualify, so (a) is correct; options (b), (c) and (d) each admit at least one non leguminous leafy vegetable.

Biorock, also called mineral accretion technology, restores coral reefs by passing a low voltage direct current through a submerged steel frame. The current drives electrolysis at the cathode, raising the local pH and precipitating calcium carbonate from the dissolved ions in seawater, so that limestone accretes onto the frame and provides a substrate on which coral fragments transplanted to it grow faster and survive stress better than they otherwise would.

• Option (a) states this and is correct.
• Option (b) describes agro residue based construction materials, an unrelated line of work in building science.
• Option (c) describes hydrocarbon prospecting, which relies on seismic surveying and geological assessment of shale formations, not on electrolytic accretion.
• Option (d) describes a wildlife management practice of supplying mineral supplements to herbivores, which has nothing to do with the marine environment.

Hence (a).

The method is named for the Japanese botanist Akira Miyawaki, who developed a technique for establishing dense native woodland on small plots. Native species of several canopy layers are planted very close together in deeply prepared and amended soil, so that competition for light drives rapid vertical growth and the stand closes canopy and becomes self sustaining within a few years, far faster than conventional plantation. Its best known application is the urban pocket forest, which is why option (c) is correct.

• Option (a) is wrong because the method is a forest restoration technique concerned with native ecosystems, not a commercial farming system for drylands.
• Option (b) is wrong because the method depends specifically on locally native species selected from the potential natural vegetation, and involves no genetic modification.
• Option (d) is wrong because it describes offshore and coastal wind power, an unrelated field.

Hence (c).

The dyarchy introduced by the Montagu Chelmsford reforms split the provincial subjects into two lists. Reserved subjects stayed with the Governor acting through his Executive Council, which answered to the Secretary of State and not to the legislature, and these were the subjects the British judged essential to the security of the raj and to its revenues. Transferred subjects passed to ministers drawn from and responsible to the enlarged legislative council.

• Item 1, administration of justice, was reserved, since control over the courts was central to authority.
• Item 3, land revenue, was reserved, being the principal source of provincial income.
• Item 4, police, was reserved for the plainest reason of all, the maintenance of order.
• Item 2, local self government, was transferred, and it belongs with the other nation building subjects handed to ministers such as education, public health, agriculture and industries, which were characteristically those that cost money and carried little power.
• Items 1, 3 and 4 therefore qualify, giving (c).
• Options (a), (b) and (d) each admit local self government, and a candidate who grasps the underlying logic that revenue, order and justice were never surrendered can reach the answer without memorising the full lists.

Fanam was a small denomination coin of the south Indian monetary system, struck in gold and later in silver, and current over a long period across the Chera, Chola, Vijayanagara and successor states as well as in the coastal trading settlements. In the Vijayanagara currency it sat below the varaha or pagoda, the principal gold coin, with the fanam serving as the intermediate denomination and the copper kasu or jital as the small change, and European traders on the Malabar and Coromandel coasts continued to reckon in fanams well into the colonial period.

• Option (b) is therefore correct.
• Options (a), (c) and (d) are simple distractors of a familiar UPSC construction, in which a term of trade or revenue vocabulary is offered alongside categories of clothing, ornament and weaponry so that a candidate who does not recognise the word has no principled basis to choose. There is no elimination route here, which is what makes the item hard.

Rash Behari Bose was the figure who linked the Ghadar movement to revolutionary networks inside India. He was central to the plan for a general rising in February 1915, coordinated with Ghadarites returning from North America, and after its betrayal and collapse he escaped to Japan, where he continued to work for Indian independence and later helped found the Indian Independence League.

• Item 3 therefore qualifies.
• Item 1, Barindra Kumar Ghosh, belonged to an earlier and separate Bengal tradition; younger brother of Aurobindo, he organised the Manicktolla garden group and was tried in the Alipore bomb case of 1908, and his activity predates and stands apart from the Ghadar Party founded in 1913.
• Item 2, Jogesh Chandra Chatterjee, was an Anushilan Samiti man who became a founder of the Hindustan Republican Association and was convicted in the Kakori conspiracy case, again a distinct organisational lineage. Only item 3 qualifies, giving (d).
• Options (a), (b) and (c) each attach a Bengal revolutionary to a movement whose base lay among Punjabi emigrants on the Pacific coast of North America.

• Statement 1 is incorrect, and the error lies in a single word applied to both halves of the sentence. Under the Cripps proposals the constitution making body was to be composed of members elected by the newly elected lower houses of the provincial legislatures through proportional representation, together with members nominated by the rulers of the Indian states. Nomination applied to the princely states alone; the provincial component was elective, and this asymmetry was itself a point of criticism, since the states' representatives would be the rulers' men rather than the people's.
• Statement 2 is correct. The draft declaration provided that any province not prepared to accept the new constitution could retain its existing constitutional position, and that His Majesty's Government would be prepared to agree to a new constitution giving such a province the same full status as the Indian Union. This local option clause was the germ of partition, and Gandhi's description of the offer as a post dated cheque and the Congress objection to the provision for non accession both turned on it. Only statement 2 stands, giving (b).
• Options (a) and (c) accept the nomination error, and (d) rejects the accession clause that is the best remembered feature of the scheme.

• Pair 1 is incorrectly matched. Aryadeva was a Buddhist, not a Jaina, scholar, the principal disciple of Nagarjuna and author of the Chatuhshataka, a foundational figure of the Madhyamaka school.
• Pair 2 is correctly matched. Dignaga was a Buddhist scholar, the founder of the Buddhist school of logic and epistemology, whose Pramanasamuchchaya reshaped Indian philosophical debate and drew responses from Brahmanical logicians for centuries.
• Pair 3 is correctly matched. Nathamuni was a Vaishnava scholar, the first of the Sri Vaishnava acharyas, who recovered and organised the Tamil hymns of the Alvars into the Nalayira Divya Prabandham and established their liturgical use in temple worship. Exactly two pairs are correct, giving (c).
• Option (d) requires accepting Aryadeva as a Jaina, option (b) requires rejecting one of the two sound pairs, and option (a) rejects all three.

• Statement 1 is incorrect. The first Mongol appearance on India's frontier came far earlier, during the reign of Iltutmish, when Chingiz Khan pursued the fleeing Khwarazmian prince Jalal ud din Mangabarni to the banks of the Indus in 1221. The statement trades on the coincidence of the name Jalal ud din, and Iltutmish's refusal of shelter to Mangabarni, which spared Delhi a Mongol reckoning, is one of the better known episodes of Sultanate history.
• Statement 2 is correct. Mongol pressure reached its height under Ala ud din Khalji, and the assault led by Targhi in 1303 reached Delhi and invested the city while the Sultan was returning from Chittor, confining him in the unfinished fort at Siri; the experience drove his subsequent reorganisation of the army and frontier and his market control measures.
• Statement 3 is treated as incorrect by the key. The Mongol incursion under Tarmashirin during Muhammad bin Tughlaq's reign was bought off rather than allowed to detach territory, and no lasting or even temporary cession of the north west to the Mongols is recorded for his reign. Only statement 2 stands, giving (b); options (a) and (c) accept the misdated first invasion, and (d) rests on statement 3 alone.

The term means the cap wearers, from the Persian kulah for a conical cap, and it was applied to the Sayyids, those claiming descent from the Prophet, who were distinguished in the Sultanate period by the headgear they wore as a mark of that lineage and of the deference owed to it.

• Option (d) is therefore correct.
• Option (a) is wrong because Arab merchants formed a commercial community identified by trade and by the ports they worked from rather than by a distinguishing cap.
• Option (b) is wrong although it is the most tempting distractor, since the Qalandars were wandering, often deliberately unorthodox Sufi mendicants whose appearance and shaven heads were themselves a statement, but they are not the group the term denotes.
• Option (c) is wrong because calligraphists constituted a craft and scribal profession, not a status group marked by dress. The item is difficult because the term appears only in the more detailed treatments of Sultanate social history and no elimination route exists.

• Statement 1 is incorrect on chronology. The Gajapati dynasty of Odisha was broken by the middle of the sixteenth century, its territories passing to the Golconda sultans and then to the Mughals, whereas the Dutch reached the Coromandel coast only in the first decade of the seventeenth century, establishing themselves at Masulipatnam and Pulicat under grants from the Golconda rulers and local authorities. A Gajapati grant to the Dutch is therefore impossible.
• Statement 2 is correct. Afonso de Albuquerque took Goa in 1510 from Yusuf Adil Shah of Bijapur, and Goa became the seat of the Portuguese Estado da India.
• Statement 3 is correct. Francis Day obtained in 1639 a grant of the site that became Madras from the Nayak of Chandragiri, a representative of the by then much reduced Vijayanagara authority, and Fort St George was raised there.
• Statements 2 and 3 holding, (b) is correct; options (a), (c) and (d) each admit the anachronistic Gajapati grant.

• Statements 2 and 3 reproduce provisions of the Arthashastra's treatment of slaves closely. The text lays down that a female slave who bears a child to her master shall be recognised as free, and that the son so begotten shall be entitled to the legal status of the master's son, both provisions reflecting the work's characteristic concern to regulate rather than merely to permit the institution, and to bound it in ways that mark Kautilya's dasa off from chattel slavery as understood elsewhere.
• Statement 1 is treated as incorrect by the key. On that reading the routes into servitude recognised by the text are sale of oneself or of a dependant, capture in war, birth to a slave woman and voluntary pledging against a debt, and judicial sentence is not among them.
• Statements 2 and 3 holding, (b) is the answer, and options (a), (c) and (d) each admit statement 1.

This is the single dropped item of the paper, shown as X against question 61 in the Series A key and against the corresponding numbers in the other series. On the substance, statement 1 is sound: tighter policy in the United States raises the return on dollar assets, narrows the differential in favour of emerging markets and pulls capital out.

• Statement 3 is clearly unsound, and in the reverse direction: depreciation of the domestic currency raises the rupee cost of servicing and repaying a foreign currency liability, so it increases rather than decreases the currency risk attaching to External Commercial Borrowings.
• Statement 2 is the problematic one and the likely reason for the drop. Capital flight and the tightening that accompanies it do raise the cost of fresh borrowing and of rolling over maturing debt, and they raise servicing costs on floating rate exposures, but for a firm's existing borrowing at a fixed rate the interest cost is contractually settled and does not move. The statement's use of the word existing therefore admits both readings, and no option isolates a defensible combination cleanly. Recording the item as dropped without reconciling it.

• Statement 1 is incorrect. Credit rating agencies in India are registered and regulated by the Securities and Exchange Board of India under the SEBI Credit Rating Agencies Regulations of 1999, the logic being that ratings are an input to investors in securities markets and so fall within the securities regulator's remit. The Reserve Bank does accredit agencies for particular purposes, such as the risk weighting of bank exposures under the capital adequacy framework, but that is a limited recognition and not regulation of the agencies as such.
• Statement 2 is correct. ICRA Limited is a public limited company, listed on the stock exchanges, with Moody's holding a controlling interest.
• Statement 3 is correct. Brickwork Ratings is an Indian credit rating agency headquartered at Bengaluru and registered with SEBI.
• Statements 2 and 3 holding, (b) is the answer; options (a), (c) and (d) each accept the misattribution of regulatory authority to the Reserve Bank, which is the one thing the question is really testing.

• Statement 1 is incorrect. The Banks Board Bureau was chaired by an independent appointee, the first being the former Comptroller and Auditor General Vinod Rai, and never by the Governor of the Reserve Bank. The design deliberately kept the body distinct from both the regulator and the ministry, since its purpose was to insulate senior appointments in public sector banks from the process that had previously governed them.
• Statement 2 is correct and states the Bureau's principal function, the recommendation of candidates for the posts of whole time directors and non executive chairpersons in public sector banks and financial institutions.
• Statement 3 is correct. Its mandate extended beyond appointments to advising banks on strategies for growth and on the raising of capital, and to helping build boards with the requisite competence.
• Statements 2 and 3 holding, (b) is correct, and options (a), (c) and (d) each accept the Reserve Bank Governor as chairman.

• Statement 1 is correct. A convertible bond bundles a straight bond with an option to exchange it for a fixed number of shares. That option has value to the holder, and the holder pays for it by accepting a coupon below what a comparable non convertible bond of the same issuer would carry. The issuer's side of the same bargain is cheaper current servicing in exchange for potential dilution later.
• Statement 2 is correct, though it requires a further step of reasoning. Equity represents a claim on the nominal earnings and assets of a company, which tend over time to rise with the general price level, so equities offer a partial hedge against inflation in a way that a fixed nominal coupon does not. The conversion option therefore gives the holder access to that hedge should inflation and nominal earnings rise, which is a degree of indexation to consumer prices, even if an imperfect one. Both statements holding, (c) is correct; options (a) and (b) each reject a sound proposition and (d) rejects both.

• Statement 1 is correct; Vietnam has been among the fastest growing economies in the world over the past two decades, sustaining high growth even through the pandemic years when most comparators contracted.
• Statement 2 is incorrect and is the decisive statement. Vietnam is a one party socialist republic in which the Communist Party of Vietnam is the sole legal party and its constitutionally recognised leading force; no multi party competition exists.
• Statement 3 is correct. Growth has been built on export led manufacturing and deep insertion into global supply chains, supported by an unusually wide network of free trade agreements.
• Statement 4 is correct. Low labour costs together with a managed and relatively stable exchange rate have long been central to the country's attraction for global manufacturers relocating assembly.
• Statement 5 is incorrect, being an unsupported superlative; the most productive e-service sectors of the Indo-Pacific lie elsewhere, in Singapore and the developed east Asian economies.
• Statements 1, 3 and 4 holding, (c) is correct, and options (a), (b) and (d) each rest on the one party error or the unsupported superlative, either of which a candidate can identify to eliminate three options at once.

The responsibility is statutory. The amendment of the Reserve Bank of India Act in 2016 gave the Bank the primary objective of maintaining price stability while keeping in mind the objective of growth, and established the Monetary Policy Committee to determine the policy rate required to achieve an inflation target notified by the Central Government, currently four per cent with a band of two percentage points on either side.

• Option (d) is therefore correct.
• Option (a) is wrong because the Department of Consumer Affairs monitors the prices of essential commodities and administers supply side measures such as buffer stocks of pulses and onions, which influence particular prices but do not constitute responsibility for price stability in the macroeconomic sense.
• Option (b) is wrong because the Expenditure Management Commission was a body constituted to advise on public expenditure reform, a fiscal matter.
• Option (c) is wrong because the Financial Stability and Development Council is an inter regulatory forum chaired by the Finance Minister, concerned with systemic financial stability and regulatory coordination, which is a distinct objective from price stability.

• Statement 1 is correct. A token can be minted to stand for a physical object, whether a work of art, a title deed or a certificate, with the token recording ownership and provenance on the ledger while the object itself remains off chain.
• Statement 2 is correct and states the technical nature of the instrument: each token is a distinct cryptographic entry on a blockchain, individually identifiable and not interchangeable with any other.
• Statement 3 is incorrect, and it contradicts the defining property named in the term itself. Fungibility means that one unit is interchangeable with another of the same kind at par, which is exactly what makes a currency serviceable as a medium of exchange; a rupee note is worth any other rupee note. Non-fungible tokens are by definition not exchangeable at equivalency, since each is unique, and that uniqueness disqualifies them as a medium of commercial transactions even though they can be bought and sold.
• Statements 1 and 2 holding, (a) is correct, and options (b), (c) and (d) each accept a statement that denies the meaning of the word non-fungible.

Note first that the question asks how many pairs are not correctly matched, an inversion that costs candidates marks even when they know the geography.

• Pair 1 is wrongly matched: the Ghataprabha is a tributary of the Krishna and its reservoir lies in Karnataka, in Belagavi district, not in Telangana.
• Pair 2 is correctly matched: Gandhi Sagar is on the Chambal in Madhya Pradesh, the uppermost of the Chambal valley project dams.
• Pair 3 is wrongly matched: the Indira Sagar reservoir is on the Narmada in Khandwa district of Madhya Pradesh, and is among the largest reservoirs in the country by storage.
• Pair 4 is wrongly matched: the Maithon dam is on the Barakar, a tributary of the Damodar, within the Damodar Valley Corporation system, and lies in Jharkhand rather than Chhattisgarh. Three pairs are therefore incorrect, giving (c).
• Options (a) and (b) undercount, and (d) would require Gandhi Sagar to be misplaced as well.

The Labour Bureau, an attached office of the Ministry of Labour and Employment with headquarters at Chandigarh and Shimla, is the designated agency for the collection and publication of labour statistics, and its remit covers industrial disputes, closures, retrenchments and lay offs alongside its better known work on the consumer price indices for industrial workers and agricultural labourers and its periodic labour surveys.

• Option (c) is therefore correct.
• Option (a) is wrong because the Central Statistics Office, now within the National Statistical Office, is responsible for national accounts, the index of industrial production and the conduct of large statistical surveys, not for the industrial relations returns filed by factories.
• Option (b) is wrong because the Department for Promotion of Industry and Internal Trade frames industrial policy and handles foreign direct investment policy and intellectual property administration; labour disputes fall outside its subject.
• Option (d) is wrong because the National Technical Manpower Information System deals with data on technically qualified manpower and educational capacity, an entirely different domain.

The Coal Controller's Organization is a subordinate office of the Ministry of Coal whose functions derive largely from the Colliery Control Order and the Coal Bearing Areas Acquisition and Development Act.

• Item 1 is correct: it compiles and publishes coal statistics and is the principal official source for them.
• Item 2 is correct: monitoring the progress of development of captive coal and lignite blocks falls within its charge.
• Item 3 is correct and is its statutory quasi judicial function, the Coal Controller being the authority before whom objections to a government notification for the acquisition of coal bearing areas are heard.
• Item 4 is incorrect. Ensuring that mining companies deliver coal to end users within a prescribed time is a matter of the commercial contracts between producers and consumers, chiefly the fuel supply agreements, and of the linkage and logistics arrangements overseen elsewhere; it is not a function of the Coal Controller.
• Items 1, 2 and 3 holding, (a) is correct, and options (b), (c) and (d) each either admit the delivery function or drop the statutory objection hearing.

The Fifth Schedule provides for the administration and control of Scheduled Areas and Scheduled Tribes in states other than those covered by the Sixth Schedule. Its operative instrument is the Governor's power to make regulations for peace and good government in a Scheduled Area, and the Schedule expressly contemplates regulations prohibiting or restricting the transfer of land by or among members of the Scheduled Tribes, which is the protection the Schedule is chiefly valued for.

• Option (a) captures this and is correct.
• Option (b) is wrong and confuses the two schedules: it is the Sixth Schedule that creates autonomous district and regional councils as local self governing bodies in the tribal areas of Assam, Meghalaya, Tripura and Mizoram, whereas the Fifth Schedule creates a Tribes Advisory Council, which advises and does not govern.
• Option (c) is wrong because the declaration of a Scheduled Area alters neither the territory's constitutional status nor its membership of the state.
• Option (d) is wrong because Special Category Status was a classification for the devolution of central plan assistance, determined on criteria such as terrain, low population density and strategic location, and had no connection with the Fifth Schedule.

• Statement 1 is incorrect on the funding claim. The India Sanitation Coalition is an industry led platform hosted by the Federation of Indian Chambers of Commerce and Industry, which brings together businesses, non governmental organisations, funders and others to support sustainable sanitation, largely through corporate social responsibility resources. It is not funded by the Government of India and the World Health Organization, and the first half of the statement describing its purpose does not save the second half.
• Statement 2 is treated as incorrect by the key. The National Institute of Urban Affairs is an autonomous research institute registered as a society, functioning as a think tank on urban questions, and on the key's reading it is not an apex body of the Ministry in the sense that term carries for bodies vested with formal authority over a sector. Both statements failing, (d) is correct, and options (a), (b) and (c) each accept one of them.

The Central Ground Water Authority was constituted in 1997 by notification under section 3(3) of the Environment (Protection) Act, 1986, which empowers the Central Government to constitute an authority and to entrust to it such powers under the Act as it thinks fit. The step was taken pursuant to directions of the Supreme Court, and the Authority exercises regulatory powers over groundwater development and extraction, including the notification of over exploited areas and the grant of no objection certificates for abstraction.

• Option (c) is therefore correct.
• Option (b) is the intended trap and turns on a distinction worth learning precisely: the Central Ground Water Board, established in 1970, is a subordinate office of the Ministry of Jal Shakti and is a scientific and technical body concerned with the assessment, exploration and monitoring of groundwater resources, with no statutory regulatory power under the 1986 Act.
• Option (a) is wrong because the Central Water Commission is an attached office of the Ministry dealing with the development and regulation of surface water resources.
• Option (d) is wrong because the National Water Development Agency is a registered society set up in 1982 to carry out studies for the interlinking of rivers.

• Statement 1 is incorrect. The Credentials Committee is a committee of the General Assembly, appointed at the beginning of each session on the proposal of the President of the Assembly and consisting of nine members, and it reports to and works under the Assembly. The Security Council has no part in its constitution or supervision, and the distinction matters, since it is precisely the Assembly's control of credentials that gives it the last word on who occupies a seat.
• Statement 2 is incorrect. No such fixed calendar of March, June and September exists; the Committee meets as required during the session, typically once the Assembly convenes and again if disputed claims arise.
• Statement 3 is correct. It examines the credentials of the representatives of all members and reports to the General Assembly, which approves the report, and it is this procedure that allows recognition questions to be deferred by simply leaving the incumbent delegation in place. Only statement 3 stands, giving (a); options (b), (c) and (d) each accept one of the two invented propositions.

The Polar Code is the International Code for Ships Operating in Polar Waters, adopted by the International Maritime Organization and in force since 2017, given effect through amendments to the SOLAS and MARPOL conventions so that its safety and pollution prevention provisions bind the parties to those instruments. It addresses the hazards specific to high latitude navigation, ice, low temperatures, remoteness from search and rescue, poor charting and the extreme vulnerability of polar ecosystems to discharge, and it is a response to the growth in Arctic shipping as sea ice retreats.

• Option (a) states this and is correct.
• Option (b) is wrong because maritime boundaries and extended continental shelf claims in the Arctic are pursued under the Law of the Sea Convention, not under a code of this name.
• Option (c) is wrong because the conduct of scientific research in Antarctica is governed by the Antarctic Treaty System and its environmental protocol, a separate regime.
• Option (d) is wrong because the Arctic Council is a forum for cooperation that expressly excludes military security from its mandate and concludes no trade agreements.

All three statements describe the observer arrangement accurately.

• Statement 1 is correct: observer status is conferred by a resolution of the General Assembly, and non-member states have been admitted to it, the Holy See and the State of Palestine being the present instances, the latter's elevation to non-member observer state in 2012 being the best known example.
• Statement 2 is correct: intergovernmental organisations may seek and have been granted observer status, and a long list including the European Union, the African Union and many others holds it.
• Statement 3 is correct: permanent observers maintain permanent missions at United Nations headquarters in New York, which is what allows them to follow the Assembly's work and participate in its proceedings without a vote. All three holding, (d) is correct, and options (a), (b) and (c) each exclude a true statement. The item rewards a candidate who understands that observer status is a General Assembly creation rather than a Charter category, which makes its extension to states and organisations alike unsurprising.

• Statement 1 is correct. The Tea Board is a statutory body, constituted under the Tea Act of 1953, and it succeeded the earlier Indian Tea Market Expansion Board.
• Statement 2 is incorrect. It functions under the Ministry of Commerce and Industry, not the Ministry of Agriculture and Farmers Welfare, and this is the general pattern for the plantation commodity boards, tea, coffee, rubber and spices, whose orientation is towards export promotion rather than domestic agricultural administration.
• Statement 3 is incorrect. The head office is at Kolkata, which reflects the historical concentration of the tea trade and its auction system in that city, with zonal and regional offices elsewhere including Bengaluru.
• Statement 4 is correct. The Board maintains overseas offices at Dubai and Moscow, serving two of the principal markets for Indian tea.
• Statements 1 and 4 holding, (d) is correct.
• Options (a), (b) and (c) each accept one of the two false statements, and the item is difficult because statements 3 and 4 turn on administrative detail with no route to the answer by reasoning.

Greenwashing is the practice of conveying a misleading impression of environmental responsibility, whether through advertising claims about a product, selective disclosure that highlights a minor green initiative while concealing the main environmental impact, or pledges unsupported by any credible plan. The essence is the gap between claim and substance, and option (a) captures it.

• Option (b) describes the failure to account for environmental depletion in national accounts, which is the problem that green accounting and natural capital accounting address; it is an accounting omission rather than a false claim.
• Option (c) describes environmentally reckless development, which is a substantive harm and not a communications practice; a project can devastate an ecosystem without any deceptive claim being made about it.
• Option (d) describes the opposite of a malpractice altogether, being the internalisation of environmental costs in project appraisal.

Hence (a).

The question turns on net cloud radiative forcing, which is the balance between a cloud's shortwave albedo effect and its longwave greenhouse effect.

• Statement 1 is incorrect. High clouds are cirriform, thin and composed of ice crystals, so they are largely transparent to incoming solar radiation and reflect comparatively little of it. Their tops are very cold, so they radiate to space at a much lower temperature than the surface whose outgoing longwave they intercept, and the resulting deficit in emission traps energy in the system. The net effect of high cloud is therefore warming, not cooling, and the statement reverses it.
• Statement 2 is incorrect as a whole, though its first clause is sound. Low clouds are optically thick and do behave almost as black bodies in the infrared, so they absorb the longwave radiation leaving the surface. But their tops are warm, being close to surface temperature, so they re-emit at nearly the same rate and their greenhouse effect is correspondingly small, while their high albedo reflects a large fraction of incoming solar radiation. The albedo term dominates, and the net effect of low cloud is cooling, so the conclusion drawn in the statement does not follow from its premise. Both statements failing, (d) is correct; options (a), (b) and (c) each accept one of the two reversed net effects.

• Statement 1 is incorrect on the country. Bidi Bidi lies in north western Uganda, in Yumbe district near the South Sudanese border, and it became one of the largest refugee settlements in the world after the influx that followed the resumption of civil war in South Sudan in 2016. The statement's placement of it in Kenya is the single error, and the question is constructed so that a candidate who knows only that Bidi Bidi is large and African will be caught by it.
• Statement 2 is correct, and it follows from the same facts: the settlement's population is overwhelmingly South Sudanese, displaced by that civil war.
• Statement 3 is correct. Dadaab, in eastern Kenya near the Somali border, was established in 1991 as Somalia collapsed and has housed Somali refugees ever since, remaining one of the largest such complexes anywhere.
• Statements 2 and 3 holding, (c) is correct.
• Option (a) accepts the misplacement of Bidi Bidi, option (b) drops the sound Dadaab statement, and option (d) drops the sound statement about who lives in Bidi Bidi.

• Statement 1 is incorrect as at the date of the examination. The largest solar park in India was the Bhadla Solar Park in Jodhpur district of Rajasthan, developed on land whose extreme aridity and high irradiance make it useless for almost anything else, and which was at the time among the largest such installations in the world.
• Statement 2 is correct. Cochin International Airport in Kerala became the first airport anywhere to run fully on solar power, with generation from installations around the airport including on rooftops and in an adjoining solar farm, work for which it received the United Nations Champions of the Earth award.
• Statement 3 is incorrect. The largest floating solar photovoltaic projects in India are on reservoirs in the Telangana and Andhra Pradesh region, the Ramagundam installation on a reservoir of the NTPC plant being the largest at the time; Goa hosts no project of that scale. Only statement 2 stands, giving (b), and options (a), (c) and (d) each accept a misattributed superlative.

All three statements reproduce provisions of the Convention.

• Statement 1 restates Article 3, under which every state has the right to establish the breadth of its territorial sea up to a limit not exceeding twelve nautical miles, measured from baselines determined in accordance with the Convention.
• Statement 2 restates Article 17, which confers the right of innocent passage through the territorial sea on ships of all states, and the express inclusion of land locked states is a deliberate feature of the regime, since the Convention is concerned throughout to secure their access to and use of the sea.
• Statement 3 restates Article 57, under which the exclusive economic zone shall not extend beyond two hundred nautical miles from the baselines from which the breadth of the territorial sea is measured, the same baselines serving as the origin for both zones. All three holding, (d) is correct, and options (a), (b) and (c) each drop a provision of the Convention.

The Senkaku Islands, called Diaoyu by China, are a group of uninhabited islets in the East China Sea administered by Japan and claimed by both China and Taiwan. The dispute matters out of proportion to the size of the islands because sovereignty over them carries with it claims to surrounding waters, fishing grounds and possible seabed hydrocarbons, and because the United States has stated that its security treaty with Japan covers territories under Japanese administration.

• Option (b) states this and is correct.
• Option (a) is wrong on two counts: the islands are natural features, and artificial island building is a South China Sea phenomenon, a different theatre with different claimants.
• Option (c) is wrong because no permanent American base stands on the islands, which are uninhabited, and the reference to Taiwan's defence conflates separate questions.
• Option (d) is wrong because the International Court of Justice has made no such declaration, and no case concerning these islands has come before it; nor are South East Asian states claimants here.

• Pair 1 is incorrectly matched. China's permanent overseas military base in Africa is at Djibouti, on the Horn and commanding the approaches to the Red Sea, not in Chad, which was in the news for the death of President Idriss Deby and the military takeover that followed.
• Pair 2 is correctly matched. The Guinean military under Mamady Doumbouya seized power in September 2021, deposing President Alpha Conde, suspending the constitution and dissolving the government.
• Pair 3 is correctly matched. Lebanon entered one of the most severe economic depressions recorded anywhere in modern times, with currency collapse, banking failure and shortages of fuel and medicine.
• Pair 4 is correctly matched. President Kais Saied of Tunisia suspended Parliament and dismissed the Prime Minister in July 2021, invoking emergency powers under Article 80. Three pairs are correct, giving (c).
• Options (a) and (b) undercount, and (d) requires accepting the Chad base, which is the one substitution the question makes.

• Pair 1 is correctly matched. Anatolia, or Asia Minor, is the great peninsula that forms the Asian portion of Turkey and the bulk of its territory.
• Pair 2 is correctly matched. Amhara is a region of Ethiopia, neighbouring Tigray, and was drawn into the war that began in that region.
• Pair 3 is incorrectly matched. Cabo Delgado is the northernmost province of Mozambique, in the news for an Islamist insurgency that displaced hundreds of thousands and disrupted a major offshore gas development; the Portuguese name is what makes Spain a plausible looking distractor.
• Pair 4 is incorrectly matched. Catalonia is in Spain, not Italy, with Barcelona as its capital and an independence movement that has long strained Spanish politics. Exactly two pairs are correct, giving (b). The question is well constructed in that the two errors are paired: a candidate who knows Catalonia is Spanish is invited to attach Spain to Cabo Delgado, and options (a), (c) and (d) each depend on one of these confusions.

• Statement 1 is incorrect as stated. The Wild Life (Protection) Act vests property in the government not in wild animals at large but in specified circumstances, section 39 declaring every wild animal other than vermin that is hunted under the Act, or found dead, or killed by mistake, together with animal articles, trophies and meat derived from such animals, to be the property of the State Government, with property vesting in the Central Government in the case of areas declared by it. The blanket claim that wild animals are the sole property of the government overstates a provision that is conditional and specific.
• Statement 2 is correct and states an important principle. Protection under the Act attaches to the species by virtue of its listing in the schedules, and it follows the animal wherever it is found, so a scheduled animal outside a national park or sanctuary enjoys the same protection as one within. The protected area regime and the species protection regime operate on different axes.
• Statement 3 is incorrect, and the word apprehension is what defeats it. Section 11 permits the hunting of a scheduled animal only where the Chief Wildlife Warden is satisfied that it has become dangerous to human life, or is so disabled or diseased as to be beyond recovery, and the requirement is of a recorded satisfaction on that finding, not a fear that the animal may become dangerous. Only statement 2 stands, giving (b); options (a), (c) and (d) each rest on one of the two overstatements.

The fungus growing ants of the tribe Attini, of which the leafcutters are the best known, practise an obligate agriculture that is among the most striking mutualisms in nature. They cut and carry vegetation not to eat it but to use as substrate, on which they cultivate a fungus in underground gardens, tending it, weeding out competing moulds, applying antibiotic secretions from bacteria they carry on their bodies, and feeding on the specialised structures the fungus produces. Neither partner survives without the other, and the association is tens of millions of years old.

• Option (a) is therefore correct.
• Option (b) is wrong: cockroaches are generalist detritivores and, though they harbour gut symbionts that assist digestion, they cultivate nothing.
• Option (c) is wrong: some crabs tend algal gardens, but fungus cultivation is not a known crab habit.
• Option (d) is wrong: spiders are obligate predators of live prey. A candidate can reach the answer by recalling that fungus farming among insects is confined to attine ants, certain termites and some ambrosia beetles.

• Pair 1 is correctly matched. Dhauli is in Odisha, near Bhubaneswar, and carries one of the two separate Kalinga edicts along with the rock cut elephant, its location on the presumed field of the Kalinga war giving it particular significance.
• Pair 2 is correctly matched. Erragudi, in Kurnool district of Andhra Pradesh, carries a major rock edict set and is the southernmost of the major rock edict sites.
• Pair 3 is incorrectly matched. Jaugada is in Ganjam district of Odisha, not Madhya Pradesh, and it is the second of the two sites carrying the separate Kalinga edicts, which replaced the usual edicts XI to XIII with instructions to officials on the treatment of the newly conquered population.
• Pair 4 is incorrectly matched. Kalsi is in Dehradun district of Uttarakhand, on the Yamuna, not in Karnataka, and it is the northernmost of the major rock edict sites. Exactly two pairs are correct, giving (b).
• Options (a), (c) and (d) each misjudge the count, and a candidate who recalls that both separate Kalinga edicts are in Odisha can settle pair 3 immediately.

• Pair 1 is correctly matched. Nannuka was the founder of the Chandela line in Jejakabhukti, the Bundelkhand region whose later rulers raised the temples at Khajuraho.
• Pair 2 is incorrectly matched. Jayashakti was himself a Chandela, one of the early rulers of that house whose name, with his brother Vijayashakti, is associated with the consolidation of Chandela power, and he had no connection with the Paramaras of Malwa.
• Pair 3 is correctly matched. Nagabhata II was a Gurjara Pratihara ruler, the son of Vatsaraja, who took Kanauj and made it the Pratihara capital in the course of the tripartite struggle with the Palas and the Rashtrakutas.
• Pair 4 is incorrectly matched. The Bhoja best known to Indian history is the Paramara king of Dhar, celebrated as scholar and patron, and the name also belongs to Mihira Bhoja of the Gurjara Pratiharas; neither line is Rashtrakuta. Exactly two pairs are correct, giving (b). The item is difficult because the question sets the Chandela, Paramara, Pratihara and Rashtrakuta houses against one another and swaps names between them, so nothing short of secure knowledge of each dynasty's rulers will serve.

• Option (b) is correct. The Sangam poets were aware of the varna scheme, which appears in references to brahmanas and their functions and to the ordering of society, even though the working social categories of the Tamil country were organised on a different basis, around the five tinais or ecological regions and the occupational groups associated with each. The point historians draw from this is that varna was known but not yet the dominant organising principle in the far south.
• Option (a) is wrong, since the poems are a principal source for material culture, describing crops, crafts, ports, trade with the Yavanas, ornaments, dwellings and food in considerable detail.
• Option (c) is wrong, and conspicuously so: the puram poetry is largely heroic verse celebrating war, cattle raids, valour and death in battle, with the hero stone commemorating the fallen warrior.
• Option (d) is wrong because magical and supernatural forces appear in the poems as accepted features of the world, and no rationalist critique of them is offered.

Hence (b).

Nizamuddin Panipati rendered the Yogavasistha, the Sanskrit work of Advaita philosophy cast as Vasistha's instruction to Rama, into Persian during Akbar's reign, the translation being made for Prince Salim, later Jahangir. It belongs to the wider programme of translation from Sanskrit into Persian that Akbar sponsored through his maktab khana, which produced Persian versions of the Mahabharata as the Razmnama, the Ramayana, the Atharva Veda and the Lilavati, and which formed part of his broader effort to make the intellectual traditions of his Hindu subjects accessible at court.

• Option (a) is therefore correct.
• Option (b) is wrong because Humayun's reign was consumed by war and exile and supported no such programme.
• Options (c) and (d) are wrong on chronology; the Sanskrit to Persian translation associated with Shahjahan's reign is Dara Shukoh's version of the Upanishads, the Sirr i Akbar, a distinct undertaking, while Aurangzeb withdrew patronage from work of this kind altogether.

Ramanuja, the eleventh and twelfth century exponent of Vishishtadvaita or qualified non dualism, held that the individual self and the world are real and form the body of Brahman, and that liberation comes through bhakti, loving devotion to a personal God, supported by prapatti or complete surrender. Against Shankara's insistence on knowledge as the means, Ramanuja placed devotion, and it is this that made his system the philosophical foundation of the Sri Vaishnava tradition and connected it to the Alvar hymns.

• Option (a) states this and is correct.
• Option (b) states the Mimamsa position on the eternality and self existent authority of the Vedas; Ramanuja accepted scriptural authority but that proposition is not what distinguishes his teaching on salvation.
• Option (c) states the Nyaya emphasis on logical argument as the road to the highest good, which is not Ramanuja's.
• Option (d) points to meditation as the means, which belongs with the Yoga and Advaita emphases rather than with the devotional path Ramanuja taught.

Hence (a).

• Statement 1 is correct. Somnath is counted the first of the twelve Jyotirlinga shrines of Shiva, and its standing in that list is the source of its long importance as a pilgrimage centre.
• Statement 2 is correct. Al-Biruni, who accompanied the court of Mahmud of Ghazni and wrote the Kitab ul Hind, described the temple, and his account is among the sources historians use for its condition and its wealth before the raid of 1026.
• Statement 3 is incorrect, and it substitutes one President for another. The installation ceremony of the reconstructed temple in 1951 was performed by Dr Rajendra Prasad, the first President of India, who attended in the face of Nehru's reservations about the head of a secular state officiating at such an occasion. S. Radhakrishnan was the second President and held office from 1962.
• Statements 1 and 2 holding, (a) is correct; options (b), (c) and (d) each accept the substitution, which is the single fact the question turns on.

B cells and T cells are the lymphocytes of the adaptive immune system, and their defining role is defence against pathogens. B cells mature in the bone marrow and, on activation, differentiate into plasma cells secreting antibody against a specific antigen, giving humoral immunity, while some persist as memory cells. T cells mature in the thymus, the cytotoxic subset killing cells that display foreign antigen, as virus infected cells do, and the helper subset coordinating the response by activating B cells and macrophages, which is cell mediated immunity.

• Option (d) captures this and is correct.
• Option (a) is wrong as a description of their role: B cells do produce the IgE that mediates allergic reactions, but that is the immune system misdirected against a harmless substance rather than protection from allergens.
• Option (b) is wrong because the relief of pain and inflammation is the action of pharmacological agents, and lymphocyte activity in fact drives inflammation rather than resolving it.
• Option (c) is wrong and inverts the function; regulatory T cells do restrain the response to prevent autoimmunity, but that is one specialised subset and not the role of B and T cells generally.

• Statement 1 is incorrect, and decisively so. Nanoscale particles are abundant in nature and always have been: volcanic ash and sea spray aerosols, soot from combustion and forest fire, clay mineral colloids in soil and water, and biological structures such as ferritin and viruses all fall in the nanometre range. Engineered nanoparticles are a recent addition to a natural population, not a new class of matter.
• Statement 2 is correct. Nanoparticles of titanium dioxide and zinc oxide are used in sunscreens and other cosmetics, where reducing the particle size preserves the ultraviolet blocking action while removing the opaque white film that larger particles leave on the skin.
• Statement 3 is correct as the key treats it. Nanoparticles released from commercial products into the environment raise recognised safety concerns, since their small size and large surface area allow them to cross biological barriers and interact with tissues in ways the same material in bulk does not, and silver and titanium dioxide nanoparticles have attracted particular attention.
• Statements 2 and 3 holding, (d) is correct; options (a) and (c) accept the false claim about nature, and (b) drops the well established cosmetic use.

DNA barcoding identifies an organism by sequencing a short, standardised region of its genome and matching that sequence against a reference library, the mitochondrial cytochrome c oxidase I gene serving for animals and chloroplast regions such as rbcL and matK for plants. The method answers the question of what an organism is, and its capabilities follow from that.

• Statement 1 is incorrect, since the barcode sequence is a property of the species and does not change as an individual ages; age is estimated by other means altogether, growth rings, otoliths, skeletal or dental features, or in some contexts telomere length or epigenetic clocks, none of which is barcoding.
• Statement 2 is correct and is the method's central application, resolving cryptic species and morphologically indistinguishable specimens, and identifying material such as larvae, fragments or processed parts that cannot be identified by appearance.
• Statement 3 is correct and follows directly: because a barcode can be recovered from fragmentary tissue, the technique is used in food authentication to detect substituted or adulterated ingredients and undeclared species in processed products.
• Statements 2 and 3 holding, (d) is correct; options (a) and (c) accept the age determination claim, and (b) drops the method's principal use.

Acid rain results from the atmospheric oxidation of gases that yield strong acids on dissolution in cloud and rain water.

• Item 4, sulphur dioxide, is the classic precursor, oxidised to sulphur trioxide and thence to sulphuric acid, and it arises chiefly from the combustion of sulphur bearing coal and oil and from smelting.
• Item 2, nitrogen oxide, is the other principal precursor, formed when atmospheric nitrogen and oxygen combine at the high temperatures of combustion, and oxidised to nitrogen dioxide and then to nitric acid.
• Item 1, carbon monoxide, is not a cause. It is a serious pollutant on account of its toxicity, binding haemoglobin in preference to oxygen, but it does not form a strong acid on dissolution; the weak carbonic acid that gives unpolluted rain its slightly acidic pH of about 5.6 comes from carbon dioxide, not carbon monoxide.
• Item 3, ozone, is not a cause either, being an oxidising agent and a pollutant in its own right rather than an acid forming species.
• Items 2 and 4 alone qualify, giving (b), and options (a), (c) and (d) each either admit a non precursor or drop nitrogen oxide.