WB miscellaneous previous year question paper 2024 : Best Detailed Solution (English Version)

WB miscellaneous previous year question paper 2024 with solution

WB miscellaneous previous year question paper 2024 (English Version): all 100 questions

1. Astronauts cannot talk directly to each other on the Moon because

(A) there is no gravity.
(B) there is no atmosphere.
(C) sound travels too fast.
(D) the Moon absorbs all sounds.

Answer: (B) there is no atmosphere.

Explanation:
Sound is a mechanical wave and needs a material medium such as air to travel. The Moon has virtually no atmosphere, so sound cannot pass between astronauts. They communicate by radio, which uses electromagnetic waves that can travel through a vacuum.

Atmosphere and Sound on Different Bodies

BodyAtmosphereCan sound travel?Communication
MoonAlmost none (thin exosphere)NoRadio
MercuryThin exosphereNoRadio
MarsVery thin CO₂ (about 1% of Earth’s pressure)Weak and muffledRadio
VenusVery dense CO₂ (about 92 times Earth’s pressure)Yes, travels wellRadio
Earth78% N₂, 21% O₂YesVoice and radio
Titan (Saturn’s moon)Dense nitrogenYesRadio
Space (vacuum)NoneNoRadio

2. 3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish this work?

(A) 20 days
(B) 10 days
(C) 4 days
(D) 3 days

Answer: (C) 4 days

Explanation:
3 men = 5 women in work capacity, so 1 man = 5/3 women. Then 6 men = 10 women, and 6 men + 5 women = 15 women. If 5 women take 12 days, the total work is 5 × 12 = 60 woman-days. So 15 women need 60 ÷ 15 = 4 days.

3. ‘Cost-push inflation’ is caused by

(A) an increase in aggregate demand.
(B) a decrease in the supply of money.
(C) an increase in the wages or raw materials.
(D) a decrease in the velocity of money.

Answer: (C) an increase in the wages or raw materials.

Explanation:
Cost-push inflation arises on the supply side. When the cost of production rises through higher wages, raw materials or energy prices, producers raise prices to protect their margins. The general price level rises even though demand has not increased.

Types of Inflation and Deflation

TypeMain causeKey featureTypical remedy
Demand-pullAggregate demand exceeds supply“Too much money chasing too few goods”Tight monetary and fiscal policy
Cost-pushRise in wages, raw material or energy costsSupply-side shock, falling outputSupply-side measures, productivity gains
StagflationSupply shocksHigh inflation with high unemployment and stagnant growthSupply reforms, careful policy mix
HyperinflationExcess money printingExtremely rapid price rise (over 50% a month)Monetary reform
Creeping inflationMild demand growthSlow price rise (about 2–3% a year)Usually tolerated
Core inflationExcludes food and fuelReflects underlying trendUsed by central banks
ReflationDeliberate policyRaising prices after deflationStimulus
DeflationWeak demand, falling money supplyGeneral fall in pricesExpansionary policy

4. Who was the first Law Minister of independent India?

(A) C. D. Deshmukh
(B) Dr. B. R. Ambedkar
(C) Maulana Abul Kalam Azad
(D) Dr. Rajendra Prasad

Answer: (B) Dr. B. R. Ambedkar

Explanation:
Dr. B. R. Ambedkar became independent India’s first Law and Justice Minister in Nehru’s cabinet on 15 August 1947. He also chaired the Drafting Committee of the Constituition. He resigned in 1951 over the delay in passing the Hindu Code Bill.

First Holders of Key Posts in Independent India

PostFirst holderNotes
Law MinisterDr. B. R. Ambedkar1947–1951; chaired the Drafting Committee
Prime MinisterJawaharlal Nehru1947–1964
Deputy PM and Home MinisterSardar Vallabhbhai PatelIntegrated the princely states
PresidentDr. Rajendra Prasad1950–1962
Education MinisterMaulana Abul Kalam AzadAlso set up the UGC framework and IITs
Finance MinisterR. K. Shanmukham ChettyPresented the first budget in Nov 1947
Defence MinisterBaldev Singh1947–1952
Health MinisterRajkumari Amrit KaurFirst woman Cabinet minister
Governor-General (Indian)C. RajagopalachariLast Governor-General
RBI Governor (Indian)C. D. Deshmukh1943–1949

5. An item costing ₹840 was sold by a shopkeeper at a gain of 10% and was also sold by the new buyer at a loss of 5%. The final selling price of the item is

(A) ₹877.80
(B) ₹798
(C) ₹924
(D) ₹837.80

Answer: (A) ₹877.80

Explanation:
The first sale at a 10% gain gives 840 × 1.10 = ₹924. This is the new buyer’s cost price. He sells at a 5% loss, so the final price is 924 × 0.95 = ₹877.80.

6. What is the central bank of India called?

(A) State Bank of India
(B) Reserve Bank of India (RBI)
(C) Bank of India
(D) Central Bank of India

Answer: (B) Reserve Bank of India (RBI)

Explanation:
The Reserve Bank of India is the country’s central bank. It issues currency, regulates banks and implements monetary policy. It was established on 1 April 1935 under the RBI Act, 1934, and was nationalised on 1 January 1949.

Major Banking and Financial Institutions of India

InstitutionEstablishedHeadquartersRole
Reserve Bank of India1935MumbaiCentral bank, currency issuer, monetary policy
State Bank of India1955 (from Imperial Bank, 1921)MumbaiLargest public sector commercial bank
Bank of India1906MumbaiPublic sector commercial bank
Central Bank of India1911MumbaiPublic sector commercial bank
NABARD1982MumbaiApex bank for agriculture and rural development
SIDBI1990LucknowSmall industries financing
EXIM Bank1982MumbaiForeign trade financing
SEBI1988 (statutory 1992)MumbaiSecurities market regulator
IRDAI1999HyderabadInsurance regulator

7. When a computer is switched on, the BIOS is loaded from

(A) Hard disk
(B) RAM
(C) ROM
(D) CD-ROM

Answer: (C) ROM

Explanation:
BIOS (Basic Input/Output System) is firmware stored in a ROM or flash ROM chip on the motherboard. It is non-volatile, so it is available as soon as the power is switched on. It runs the power-on self-test and then loads the operating system from the boot device.

Computer Memory Types

MemoryVolatile?Writable?Typical use
ROMNoNo (factory programmed)BIOS and boot firmware
PROMNoOnce, by userCustom firmware
EPROMNoErased by UV lightFirmware development
EEPROM / FlashNoElectrically erasableModern BIOS/UEFI, USB drives
RAM (DRAM)YesYesMain working memory
SRAM / CacheYesYesCPU cache, very fast
Hard disk / SSDNoYesPermanent storage
CD-ROMNoNo (read only)Distributing software

8. What is the capital of Cabo Verde?

(A) Tunis
(B) Bissau
(C) Praia
(D) Maputo

Answer: (C) Praia

Explanation:
Praia is the capital and largest city of Cabo Verde (Cape Verde), an island nation in the Atlantic Ocean off the coast of West Africa. It is on the island of Santiago. The other cities listed are capitals of different countries.

Capitals of Selected African Countries

CountryCapitalRegion
Cabo VerdePraiaAtlantic islands, West Africa
TunisiaTunisNorth Africa
Guinea-BissauBissauWest Africa
MozambiqueMaputoSoutheast Africa
SenegalDakarWest Africa
The GambiaBanjulWest Africa
GuineaConakryWest Africa
Sierra LeoneFreetownWest Africa
LiberiaMonroviaWest Africa
AngolaLuandaSouthwest Africa
São Tomé and PríncipeSão ToméGulf of Guinea
Equatorial GuineaMalaboCentral Africa

9. The 2026 Commonwealth Games were held in

(A) Birmingham, England
(B) Glasgow, Scotland
(C) Cardiff, Wales
(D) Edinburgh, Scotland

Answer: (B) Glasgow, Scotland

Explanation:
The 2026 Commonwealth Games were awarded to Glasgow, Scotland, which stepped in after the Australian state of Victoria withdrew as host. The Games ran from 23 July to 2 August 2026 with a scaled-down sports programme. Glasgow had previously hosted in 2014.

Recent Commonwealth Games Hosts

YearHost cityCountry
2002ManchesterEngland
2006MelbourneAustralia
2010New DelhiIndia
2014GlasgowScotland
2018Gold CoastAustralia
2022BirminghamEngland
2026GlasgowScotland
2030AhmedabadIndia (centenary Games)

10. The temple of Somnath, which was destroyed by Mahmud Ghazni, was a temple dedicated to Lord

(A) Vishnu
(B) Shiva
(C) Surya
(D) Krishna

Answer: (B) Shiva

Explanation:
The Somnath temple at Prabhas Patan on the Saurashtra coast of Gujarat is dedicated to Lord Shiva and is regarded as the first of the twelve Jyotirlingas. Mahmud of Ghazni attacked and plundered it in 1025–26 CE. It was rebuilt several times, and the present temple was reconstructed after independence under Sardar Patel’s initiative and inaugurated in 1951 by Dr. Rajendra Prasad.

The Twelve Jyotirlingas of Shiva

JyotirlingaLocationState
SomnathPrabhas Patan, VeravalGujarat
MallikarjunaSrisailamAndhra Pradesh
MahakaleshwarUjjainMadhya Pradesh
OmkareshwarKhandwa (Narmada island)Madhya Pradesh
KedarnathRudraprayagUttarakhand
BhimashankarPune districtMaharashtra
Kashi VishwanathVaranasiUttar Pradesh
TrimbakeshwarNashikMaharashtra
VaidyanathDeogharJharkhand
NageshwarNear DwarkaGujarat
RameshwaramRameswaram islandTamil Nadu
GrishneshwarNear Ellora, AurangabadMaharashtra

11. The chief architect of the Prarthana Samaj in Maharashtra was

(A) R. G. Bhandarkar
(B) M. G. Ranade
(C) Pandita Ramabai
(D) Ganesh Agarkar

Answer: (B) M. G. Ranade

Answer: (B) M. G. Ranade

Explanation:
The Prarthana Samaj was founded in Bombay in 1867 by Atmaram Pandurang with the guidance of Keshab Chandra Sen. Mahadev Govind Ranade became its chief intellectual force and architect. He gave it direction through social reform work such as widow remarriage, women’s education and opposition to caste restrictions.

Prarthana Samaj and Contemporary Reform Movements

MovementFounderYearPlaceMain focus
Prarthana SamajAtmaram Pandurang (leader: M. G. Ranade)1867BombayMonotheism, widow remarriage, women’s education
Brahmo SamajRaja Ram Mohan Roy1828CalcuttaOpposed sati and idolatry, rational religion
Arya SamajSwami Dayanand Saraswati1875Bombay“Back to the Vedas”, shuddhi, education
Satyashodhak SamajJyotiba Phule1873PuneLower-caste upliftment, anti-Brahmin dominance
Ramakrishna MissionSwami Vivekananda1897Belur (Calcutta)Service to humanity, Vedanta
Deccan Education SocietyAgarkar, Tilak, Chiplunkar1884PuneModern education
Servants of India SocietyG. K. Gokhale1905PunePublic service, training national workers
Sharada SadanPandita Ramabai1889Bombay (later Pune)Education and shelter for widows
Theosophical Society (India HQ)Annie Besant / Olcott1882Adyar, MadrasRevival of Hindu thought

12. If 5 × 4 = 41 and 6 × 6 = 45 according to a certain rule, then 7 × 2 = ?

(A) 51
(B) 53
(C) 55
(D) 57

Answer: (B) 53

Explanation:
The first statement fits the rule a × b = a² + b²: 5² + 4² = 25 + 16 = 41. Applying it to 7 × 2 gives 7² + 2² = 49 + 4 = 53. The second statement (6 × 6 = 45) does not fit this rule, since 6² + 6² = 72, so it appears to be a misprint in the question. Of the options, 53 is the only one that follows from the rule in the first statement.

13. Which of the following States is the full member of BRICS?

(A) Italy
(B) Sweden
(C) Iraq
(D) China

Answer: (D) China

Explanation:
China is one of the founding members of BRICS, which began as BRIC in 2009 with Brazil, Russia, India and China. South Africa joined in 2010. Italy and Sweden are European states outside the grouping. Iraq has not been admitted as a member.

BRICS Full Members

CountryJoinedRegionNote
Brazil2009 (founding)South AmericaFounding member
Russia2009 (founding)EurasiaFounding member
India2009 (founding)South AsiaFounding member
China2009 (founding)East AsiaFounding member
South Africa2010AfricaAdded “S”, making BRIC into BRICS
EgyptJan 2024North AfricaJoined in the first expansion
EthiopiaJan 2024East AfricaJoined in the first expansion
IranJan 2024West AsiaJoined in the first expansion
United Arab EmiratesJan 2024West AsiaJoined in the first expansion
IndonesiaJan 2025Southeast AsiaJoined as a full member
Saudi ArabiaInvited 2024West AsiaHas not formally confirmed membership

The New Development Bank (NDB), the BRICS bank, is headquartered in Shanghai and was set up in 2015. Membership may have changed since my knowledge cutoff, so check a current source for the latest list.

14. Find the odd one out.

(A) Square
(B) Triangle
(C) Circle
(D) Cube

Answer: (D) Cube

Explanation:
Square, triangle and circle are two-dimensional plane figures with only length and breadth. A cube is a three-dimensional solid with length, breadth and height, so it is the odd one out.

2D and 3D Shapes

ShapeDimensionFaces / SidesEdgesVerticesKey formula
Square2D4 sides–4Area = s²
Triangle2D3 sides–3Area = ½ × b × h
Circle2D1 curved boundary–0Area = πr²
Rectangle2D4 sides–4Area = l × b
Cube3D6 faces128Volume = a³
Cuboid3D6 faces128Volume = l × b × h
Sphere3D1 curved surface00Volume = 4/3 πr³
Cylinder3D2 flat, 1 curved20Volume = πr²h
Cone3D1 flat, 1 curved11Volume = ⅓πr²h

15. The smallest halogen atom is

(A) I
(B) Br
(C) Cl
(D) F

Answer: (D) F

Explanation:
Atomic size increases down a group as new electron shells are added. Fluorine is at the top of Group 17 with only two shells, so it is the smallest halogen atom. The size order is F < Cl < Br < I.

Halogens (Group 17): Properties

ElementAtomic no.Physical state (room temp.)ColourCovalent radius (pm)Electronegativity (Pauling)
Fluorine (F)9GasPale yellow643.98
Chlorine (Cl)17GasGreenish yellow993.16
Bromine (Br)35LiquidReddish brown1142.96
Iodine (I)53SolidViolet-black1332.66
Astatine (At)85Solid (radioactive)DarkAbout 140About 2.2
Tennessine (Ts)117Synthetic, radioactive–––

16. Two plane mirrors facing each other are kept 60°. A point is located on the angle bisector. The number of images of the point is

(A) 6
(B) 3
(C) 5
(D) infinite

Answer: (C) 5

Explanation:
For two plane mirrors inclined at angle θ, the number of images is n = (360°/θ) − 1 when 360°/θ is even, whatever the position of the object. Here 360°/60° = 6, which is even, so n = 6 − 1 = 5. A point on the angle bisector also gives 5 images.

Number of Images in Inclined Mirrors

Angle θ360°/θImages (object on bisector)Images (object off bisector)
0° (parallel)–InfiniteInfinite
30°121111
45°877
60°655
72°545
90°433
120°323
180°211

17. Which Article of the Indian Constitution ensures ‘Equality before the Law’?

(A) Article 14
(B) Article 15
(C) Article 16
(D) Article 17

Answer: (A) Article 14

Explanation:
Article 14 says the State shall not deny any person equality before the law or the equal protection of the laws within India. “Equality before law” is a negative concept from British law, and “equal protection of laws” is a positive concept from the American Constitution. Article 14 applies to all persons, citizens and foreigners alike.

Fundamental Rights: Articles 14 to 32

Article(s)ProvisionRight category
14Equality before law and equal protection of lawsRight to Equality
15Prohibition of discrimination on grounds of religion, race, caste, sex, place of birthRight to Equality
16Equality of opportunity in public employmentRight to Equality
17Abolition of untouchabilityRight to Equality
18Abolition of titlesRight to Equality
19Six freedoms (speech, assembly, association, movement, residence, profession)Right to Freedom
20Protection in respect of conviction for offencesRight to Freedom
21Protection of life and personal libertyRight to Freedom
21ARight to education (ages 6–14)Right to Freedom
22Protection against arbitrary arrest and detentionRight to Freedom
23Prohibition of human trafficking and forced labourRight against Exploitation
24Prohibition of child labour in hazardous work (under 14)Right against Exploitation
25Freedom of conscience and free profession of religionRight to Freedom of Religion
26Freedom to manage religious affairsRight to Freedom of Religion
27Freedom from taxes for promotion of a religionRight to Freedom of Religion
28Freedom from religious instruction in certain institutionsRight to Freedom of Religion
29Protection of interests of minoritiesCultural and Educational Rights
30Right of minorities to establish educational institutionsCultural and Educational Rights
32Right to constitutional remedies (writs)Right to Constitutional Remedies

18. COP 31, the 2026 UN Climate Change Conference will be held in

(A) Dubai, UAE
(B) Antalya, Turkey
(C) Paris, France
(D) Nairobi, Kenya

Answer: (B) Antalya, Turkey

Explanation:
COP31 is scheduled for 9–20 November 2026 at the Antalya Expo Center in Antalya, Türkiye. Under a compromise reached at COP30, Türkiye hosts the conference and holds the COP presidency, while Australia, through Chris Bowen, serves as President of Negotiations with exclusive authority over the negotiations. A pre-COP meeting is to be held in the Pacific.

Recent UN Climate Conferences (COP)

COPYearHost cityCountryKey outcome
COP212015ParisFranceParis Agreement
COP262021GlasgowUnited KingdomGlasgow Climate Pact, coal “phase-down”
COP272022Sharm el-SheikhEgyptLoss and Damage Fund agreed
COP282023DubaiUAEFirst global stocktake, call to transition away from fossil fuels
COP292024BakuAzerbaijanNew climate finance goal
COP302025BelémBrazilHeld at the edge of the Amazon
COP312026AntalyaTürkiye (Australia leads negotiations)Scheduled 9–20 Nov 2026

19. Sulphur containing amino acids are

(A) cysteine, methionine
(B) methionine, threonine
(C) threonine, cysteine
(D) cystine, serine

Answer: (A) cysteine, methionine

Explanation:
Cysteine (with a thiol, –SH, group) and methionine (with a thioether, –S–CH₃ group) are the two standard protein amino acids that contain sulphur. Cystine is a dimer formed when two cysteine molecules join through a disulphide bond. It is not one of the 20 standard amino acids.

The 20 Standard Amino Acids

Amino acid3-letter / 1-letterSide-chain classEssential in humans?Contains sulphur?
GlycineGly / GNonpolar, aliphaticNoNo
AlanineAla / ANonpolar, aliphaticNoNo
ValineVal / VNonpolar, aliphaticYesNo
LeucineLeu / LNonpolar, aliphaticYesNo
IsoleucineIle / INonpolar, aliphaticYesNo
ProlinePro / PNonpolar, cyclicNoNo
MethionineMet / MNonpolar, sulphur-containingYesYes
PhenylalaninePhe / FAromaticYesNo
TyrosineTyr / YAromatic, polarNoNo
TryptophanTrp / WAromaticYesNo
SerineSer / SPolar, unchargedNoNo
ThreonineThr / TPolar, unchargedYesNo
CysteineCys / CPolar, sulphur-containingNo (conditionally)Yes
AsparagineAsn / NPolar, unchargedNoNo
GlutamineGln / QPolar, unchargedNoNo
Aspartic acidAsp / DAcidicNoNo
Glutamic acidGlu / EAcidicNoNo
LysineLys / KBasicYesNo
ArginineArg / RBasicNo (conditionally, in children)No
HistidineHis / HBasicYesNo

20. Which among the following is called as ‘Portuguese man of war’?

(A) Pennatula
(B) Physalia
(C) Adamsia
(D) Metridium

Answer: (B) Physalia

Explanation:
Physalia physalis is the “Portuguese man of war”. It is not a single animal but a floating colony of specialised polyps and medusoids (a siphonophore) in class Hydrozoa, phylum Cnidaria. A gas-filled float lets it drift at the surface, and its long tentacles carry stinging cells (nematocysts).

Common Names of Cnidarians

GenusCommon nameClassNotes
PhysaliaPortuguese man of warHydrozoaFloating siphonophore colony with a gas float
VelellaBy-the-wind sailorHydrozoaFloating colony with a sail
PorpitaBlue buttonHydrozoaFloating colonial hydrozoan
ObeliaSea furHydrozoaColonial, shows polyp and medusa stages
HydraFreshwater hydraHydrozoaSolitary, freshwater
MilleporaFire coralHydrozoaPainful sting
AureliaMoon jellyScyphozoaTrue jellyfish
CyaneaLion’s mane jellyfishScyphozoaLargest jellyfish
PennatulaSea penAnthozoaFeather-shaped colony
AdamsiaSea anemoneAnthozoaLives with hermit crabs
MetridiumPlumose sea anemoneAnthozoaSolitary anemone
GorgoniaSea fanAnthozoaColonial, horny skeleton
CoralliumRed or precious coralAnthozoaUsed in jewellery
TubiporaOrgan-pipe coralAnthozoaRed tubular skeleton
MeandrinaBrain coralAnthozoaGrooved, brain-like surface

21. Which one of these fighter aircraft was purchased by India from France?

(A) MiG-21
(B) MiG-27
(C) F-16
(D) Rafale

Answer: (D) Rafale

Explanation:
The Rafale is a French multirole fighter made by Dassault Aviation. India bought 36 of them under a government-to-government deal signed in September 2016, and the first jets reached Ambala in July 2020. The MiG-21 and MiG-27 are of Soviet origin. The F-16 is American, and India has never bought it.

Major Fighter Aircraft of the Indian Air Force

AircraftCountry of originManufacturerRoleNote
RafaleFranceDassault AviationMultirole36 ordered in 2016; first batch arrived in 2020
Rafale-MFranceDassault AviationCarrier-based multirole26 ordered for the Navy in April 2025
Mirage 2000 (Vajra)FranceDassault AviationMultiroleInducted 1985; used in Kargil 1999
MiG-21USSRMikoyan-GurevichInterceptorInducted 1963; phased out in 2025
MiG-27USSRMikoyan-GurevichGround attackBuilt under licence by HAL; retired 2019
MiG-29USSR / RussiaMikoyanAir superiorityIn service
Su-30MKIRussiaSukhoi / HALAir superiorityBackbone of the fleet
JaguarUK / FranceSEPECAT / HALDeep strikeIn service
Tejas (LCA)IndiaHALLight combat aircraftIndigenous

22. The Asiatic Society of Bengal (1784) owes its origin to who?

(A) William Jones
(B) Warren Hastings
(C) James Mackintosh
(D) James Prinsep

Answer: (A) William Jones

Explanation:
Sir William Jones, a judge of the Supreme Court at Calcutta and a scholar of oriental languages, founded the Asiatic Society on 15 January 1784. Governor-General Warren Hastings supported the effort but did not found the Society. Its journal, Asiatic Researches, began in 1788.

Oriental Studies and Early British-Era Institutions

Institution / EventYearFounder / PersonPlace
Calcutta Madrasa1781Warren HastingsCalcutta
Asiatic Society of Bengal1784Sir William JonesCalcutta
Asiatic Researches (journal)1788Asiatic SocietyCalcutta
Sanskrit College1791Jonathan DuncanBenares
Literary Society of Bombay1804James MackintoshBombay
Fort William College1800Lord WellesleyCalcutta
Hindu College1817David Hare and Raja Ram Mohan Roy (with others)Calcutta
Deciphering of Brahmi script1837James PrinsepCalcutta
Archaeological Survey of India1861Alexander CunninghamCalcutta

23. An association of interacting species inhabiting a defined area is

(A) Individual
(B) Community
(C) Ecotype
(D) Population

Answer: (B) Community

Explanation:
A community is the set of different species (plants, animals and microbes) that live and interact in the same area. A population has individuals of one species only, and an individual is a single organism. An ecotype is a genetically distinct form of a species adapted to a particular habitat.

Levels of Ecological Organisation

LevelMeaningExample
IndividualA single organismOne tiger
PopulationIndividuals of the same species in an areaAll tigers in a reserve
CommunityInteracting populations of different species in an areaTigers, deer, trees and insects in a forest
EcosystemCommunity plus its non-living environmentA forest ecosystem
BiomeLarge region with similar climate and life formsTropical rainforest, tundra
BiosphereAll the ecosystems of EarthThe entire living world
EcotypeLocally adapted genetic variant of a speciesAlpine and lowland forms of one plant
HabitatPlace where an organism livesA pond
NicheFunctional role of a speciesPredator, pollinator

24. Which fundamental right cannot be suspended even during a national emergency?

(A) Right to freedom of speech
(B) Right to equality
(C) Right to life and personal liberty
(D) Right to constitutional remedies

Answer: (C) Right to life and personal liberty

Explanation:
Under Article 359, the President can suspend the right to move courts for enforcement of Fundamental Rights during an emergency. The 44th Constitutional Amendment (1978) made Articles 20 and 21 non-suspendable. Article 19 rights lapse automatically only when an emergency is declared on grounds of war or external aggression, under Article 358.

Emergency Provisions and Fundamental Rights

ArticleProvisionEffect on Fundamental Rights
352National Emergency (war, external aggression, armed rebellion)Allows Articles 358 and 359 to apply
358Suspension of Article 19Automatic, only for war or external aggression
359Suspension of the right to move courtsBy Presidential order; excludes Articles 20 and 21
20Protection in respect of conviction for offencesCannot be suspended
21Protection of life and personal libertyCannot be suspended
356President’s Rule in a StateNo suspension of Fundamental Rights
360Financial EmergencyNo suspension of Fundamental Rights
44th Amendment (1978)Changed “internal disturbance” to “armed rebellion”Strengthened safeguards against misuse
42nd Amendment (1976)Extended emergency powersLater rolled back by the 44th Amendment

25. Find the next number: 2, 6, 12, 20, 30, ?

(A) 40
(B) 42
(C) 44
(D) 46

Answer: (B) 42

Explanation:
Each term equals n × (n + 1): 1×2 = 2, 2×3 = 6, 3×4 = 12, 4×5 = 20, 5×6 = 30. The next term is 6 × 7 = 42. The differences between terms (4, 6, 8, 10) rise by 2, so the next difference is 12 and 30 + 12 = 42.

26. In which year did Swami Vivekananda deliver his legendary speech at the Parliament of the World’s Religions in Chicago?

(A) 1891 A.D.
(B) 1893 A.D.
(C) 1895 A.D.
(D) 1897 A.D.

Answer: (B) 1893 A.D.

Explanation:
Swami Vivekananda addressed the Parliament of the World’s Religions in Chicago on 11 September 1893. He began with “Sisters and Brothers of America” and presented Vedanta and religious tolerance to a world audience.

Swami Vivekananda: Timeline

YearEvent
1863Born Narendranath Datta in Calcutta (12 January, observed as National Youth Day)
1881Met Sri Ramakrishna Paramahamsa at Dakshineswar
1886Death of Ramakrishna; Narendranath became a monk
1892Meditated on the rock at Kanyakumari
1893Addressed the Parliament of the World’s Religions, Chicago (11 September)
1897Founded the Ramakrishna Mission (1 May)
1898Belur Math established near Calcutta
1899Started the journal Prabuddha Bharata in English; second visit to the West
1902Died at Belur Math (4 July)

27. In which state of India, Tamilaga Vettri Kazhagam (TVK) party was formed the coalition government in 2026?

(A) Kerala
(B) Andhra Pradesh
(C) Telangana
(D) Tamil Nadu

Answer: (D) Tamil Nadu

Explanation:
TVK came to power in Tamil Nadu after the 2026 Legislative Assembly election, with Vijay as Chief Minister. The Congress left the Secular Progressive Alliance (SPA) and joined the TVK government, while four other SPA parties backed the TVK-led coalition from outside. Vijay took oath as Chief Minister on 10 May 2026.

Tamil Nadu 2026 Government Formation

ItemDetails
Polling date23 April 2026
Result declared4 May 2026
TVK seats107 out of 234 (majority mark is 118)
Chief MinisterC. Joseph Vijay (TVK), sworn in 10 May 2026
Outgoing Chief MinisterM. K. Stalin (DMK), resigned 5 May 2026
GovernorRajendra Arlekar
Coalition partner in governmentIndian National Congress (ministers sworn in 21 May 2026)
Outside supportersCPI, CPI(M), VCK, IUML
Trust voteWon with 144 votes in favour
Council of MinistersChief Minister plus 34 Cabinet ministers; no Deputy Chief Minister
SignificanceFirst non-Dravidian party government in the state since 1967

28. The Gond is one of the major tribal communities of

(A) Central India
(B) Punjab
(C) Kerala
(D) Jammu and Kashmir

Answer: (A) Central India

Explanation:
The Gonds are one of the largest tribal communities in India, living mainly in the central Indian belt: Madhya Pradesh, Chhattisgarh, eastern Maharashtra, Telangana, Andhra Pradesh and Odisha. They speak Gondi, a Dravidian language, and are known for the Gond kingdoms such as Garha-Mandla.

Major Tribes of India by Region

RegionTribeStates / AreaNote
Central IndiaGondMP, Chhattisgarh, Maharashtra, Telangana, OdishaAmong the largest tribes in India
Central IndiaBaigaMP, ChhattisgarhForest dwellers
Central IndiaBhilMP, Gujarat, Rajasthan, MaharashtraSkilled archers
Eastern IndiaSanthalJharkhand, West Bengal, OdishaLargest in the region; Santhal rebellion 1855
Eastern IndiaMunda, OraonJharkhandBirsa Munda led the Ulgulan
North-EastKhasi, GaroMeghalayaMatrilineal societies
North-EastNagaNagalandMany sub-tribes
South IndiaToda, IrularTamil NaduToda are in the Nilgiris
South IndiaKurichiyar, PaniyaKeralaWayanad region
Jammu and KashmirGujjar-Bakarwal, GaddiJ&K, Himachal PradeshPastoral groups
Western IndiaWarliMaharashtra, GujaratKnown for Warli painting
Andaman and NicobarJarawa, Onge, SentineleseAndaman IslandsParticularly vulnerable groups

Punjab has no notified Scheduled Tribes.

29. A man rows 750 m in 675 seconds against the stream and returns in 7½ minutes. Find his rowing speed in still water.

(A) 3 km/hr
(B) 4 km/hr
(C) 5 km/hr
(D) 6 km/hr

Answer: (C) 5 km/hr

Explanation: Upstream speed = 750 m ÷ 675 s = 10/9 m/s = 4 km/hr. Downstream, 7½ minutes = 450 s, so speed = 750 ÷ 450 = 5/3 m/s = 6 km/hr. Speed in still water = (6 + 4) ÷ 2 = 5 km/hr.

30. The smallest five-digit number which is divisible by 12, 18 and 21 is

(A) 10224
(B) 30256
(C) 10080
(D) 50321

Answer: (C) 10080

Explanation:
A number divisible by 12, 18 and 21 must be a multiple of their LCM. 12 = 2² × 3, 18 = 2 × 3² and 21 = 3 × 7, so LCM = 2² × 3² × 7 = 252. The smallest five-digit number is 10000. Since 10000 ÷ 252 gives 39 with a remainder, the next multiple is 252 × 40 = 10080.

31. Akbar introduced the Mansabdari System in order to

(A) create a loyal band of followers.
(B) distribute favours among his supporters.
(C) organize the nobility as well as his army.
(D) satisfy the natural ego of his officers.

Answer: (C) organize the nobility as well as his army.

Explanation:
Akbar introduced the Mansabdari system around 1570–71 to organize the Mughal nobility and the army in a single graded structure. Each officer (mansabdar) was given a numerical rank (mansab) that fixed his status, salary and the number of soldiers he had to maintain. The system also tied the nobility to the emperor and prevented any group of nobles from becoming too powerful.

Mansabdari System: Key Features

FeatureDetails
Introduced byAkbar, c. 1570–71
Meaning of “mansab”Rank or position
ZatPersonal rank, which fixed status and salary
SawarNumber of cavalrymen the mansabdar had to maintain
Range of ranksFrom 10 to 10,000 (higher ranks mostly reserved for princes)
PaymentIn cash, or by assignment of a jagir (right to collect revenue)
Dagh and ChehraBranding of horses and descriptive rolls of soldiers, to prevent fraud
Hereditary?No; the post ended with the mansabdar’s death
Appointment, promotion, dismissalBy the emperor alone
Open toPersons of any background, including Mughals, Rajputs, Persians and Afghans

Other Akbar-Era Administrative Measures

MeasureYearDetails
Ibadat Khana1575Hall at Fatehpur Sikri for religious discussions
Zabt and Dahsala system1580Revenue system worked out with Raja Todar Mal
Din-i-Ilahi1582Syncretic religious order
Sulh-i-kul–Policy of universal peace and tolerance
Abolition of jizya1564Tax on non-Muslims removed

32. To which of the following dynasties did Karikala, the famous king of Sangam period belong?

(A) Chera
(B) Chola
(C) Pandya
(D) Pallava

Answer: (B) Chola

32.

Answer: (B) Chola

Explanation:
Karikala was the greatest early Chola king of the Sangam age. He is credited with winning the Battle of Venni, in which he defeated a coalition of the Cheras, Pandyas and eleven minor chiefs. He is also associated with building embankments on the Kaveri river and with the Chola capital at Puhar (Kaveripattinam).

Sangam Age Dynasties

DynastyCapitalPortEmblemFamous rulers
CheraVanjiMuziris (Musiri), TondiBow and arrowUdiyanjeral, Nedunjeral Athan, Senguttuvan
CholaUraiyur; later PuharPuhar (Kaveripattinam)TigerKarikala, Killivalavan, Perunarkilli
PandyaMaduraiKorkaiFishNedunjeliyan, Mudukudumi Peruvaluthi
Pallava (not a Sangam dynasty)KanchipuramMamallapuramBullEmerged from about the 6th century CE

Sangam Literature

WorkType
TolkappiyamGrammar, by Tolkappiyar
EttuthokaiEight anthologies
PattuppattuTen idylls (includes Pattinappalai on Karikala)
SilappadikaramEpic, by Ilango Adigal
ManimekalaiEpic, by Sittalai Sattanar
ThirukkuralEthical work, by Thiruvalluvar

33. Two vessels A and B contain milk and water mixed in the ratio 4 : 3 and 2 : 3. The ratio in which these mixtures should be mixed to form a new mixture containing half milk and half water is

(A) 7 : 5
(B) 6 : 5
(C) 5 : 6
(D) 4 : 3

Answer: (A) 7 : 5

Explanation:
In vessel A, milk is 4/7 of the mixture, and in vessel B it is 2/5. The final mixture has 1/2 milk. By the rule of alligation, the ratio of A to B is (1/2 − 2/5) : (4/7 − 1/2) = 1/10 : 1/14 = 7 : 5.

34. Which of the following is the autobiography of Nelson Mandela?

(A) All About Love: New Visions
(B) The Wretched of the Earth
(C) Waiting for a Visa
(D) Long Walk to Freedom

Answer: (D) Long Walk to Freedom

Explanation:
Long Walk to Freedom (1994) is the autobiography of Nelson Mandela. It covers his life from his childhood in the Transkei through the anti-apartheid struggle and 27 years in prison to his election as South Africa’s first Black president in 1994.

Books and Their Authors

BookAuthorType
Long Walk to FreedomNelson MandelaAutobiography (1994)
The Wretched of the EarthFrantz FanonAnti-colonial political work (1961)
All About Love: New Visionsbell hooksNon-fiction on love (2000)
Waiting for a VisaB. R. AmbedkarAutobiographical sketch
My Experiments with TruthM. K. GandhiAutobiography
An Autobiography (Toward Freedom)Jawaharlal NehruAutobiography (1936)
Wings of FireA. P. J. Abdul KalamAutobiography
The Story of My LifeHelen KellerAutobiography (1903)
I Know Why the Caged Bird SingsMaya AngelouAutobiography (1969)
Playing It My WaySachin TendulkarAutobiography

35. Who is popular in Indian history as ‘Grand Old Man of India’?

(A) Dadabhai Naoroji
(B) Mahatma Gandhi
(C) Gopal Krishna Gokhale
(D) Bal Gangadhar Tilak

Answer: (A) Dadabhai Naoroji

Explanation:
Dadabhai Naoroji is known as the “Grand Old Man of India”. He was a pioneer of Indian nationalism and the first Indian elected to the British House of Commons (1892). His “drain of wealth” theory, set out in Poverty and Un-British Rule in India, showed how British rule drained India’s resources.

Titles of Indian Leaders

LeaderTitle / Epithet
Dadabhai NaorojiGrand Old Man of India
Mohandas K. GandhiMahatma, Father of the Nation
Bal Gangadhar TilakLokmanya
Lala Lajpat RaiPunjab Kesari (Lion of Punjab)
Surendranath BanerjeeRashtraguru
Sardar Vallabhbhai PatelIron Man of India
Subhas Chandra BoseNetaji
Sarojini NaiduNightingale of India
C. R. DasDeshbandhu
Madan Mohan MalaviyaMahamana
Abdul Ghaffar KhanFrontier Gandhi
C. RajagopalachariRajaji
B. R. AmbedkarBabasaheb
G. K. GokhalePolitical guru of Gandhi

Dadabhai Naoroji: Key Facts

ItemDetail
Founded East India Association1866, London
President of Indian National Congress1886, 1893 and 1906
Elected to House of Commons1892 (Finsbury Central, Liberal Party)
BookPoverty and Un-British Rule in India (1901)

36. When a number is divided by 56, the remainder obtained is 29. What will be the remainder when the number is divided by 8?

(A) 4
(B) 5
(C) 3
(D) 7

Answer: (B) 5

Explanation:
The number can be written as N = 56k + 29. Since 56 is divisible by 8, the term 56k leaves remainder 0 when divided by 8. So the remainder depends only on 29 ÷ 8, which is 3 remainder 5.

37. Costs of two watches were in the ratio 16 : 23. The cost of the first watch increases by 10% and that of the second by ₹477. The new costs of the two watches are in the ratio 11 : 20. The new price of the second watch (in ₹) is

(A) 932
(B) 1,219
(C) 1,696
(D) 848

Answer: (C) ₹1,696
Explanation:
Let the original costs be 16x and 23x. The new costs are 16x × 1.10 = 17.6x and 23x + 477. Setting 17.6x ÷ (23x + 477) = 11/20 gives 352x = 253x + 5247, so x = 53. The new price of the second watch is 23 × 53 + 477 = 1219 + 477 = ₹1,696.

38. The Simla Agreement was passed at which session of the Congress?

(A) Lahore
(B) Karachi
(C) Lucknow
(D) Calcutta

Answer: (D) Calcutta

Congress Sessions and Simla-Related Events

EventYearPlacePresident / LeaderKey outcome
First INC session1885BombayW. C. BonnerjeeFounding of Congress
Simla Deputation1906SimlaAga Khan (led the deputation)Demand for separate electorates
Calcutta session1906CalcuttaDadabhai NaorojiDeclared “Swaraj” as the goal
Surat session1907SuratRash Behari GhoshSplit between Moderates and Extremists
Lucknow session1916LucknowA. C. MajumdarCongress–League Lucknow Pact; reunion
Calcutta session1928CalcuttaMotilal NehruNehru Report discussed
Lahore session1929LahoreJawaharlal NehruPurna Swaraj declared
Karachi session1931KarachiSardar PatelFundamental Rights resolution; Gandhi–Irwin Pact endorsed
Simla Conference1945SimlaLord WavellFailed to resolve the Congress–League deadlock
Simla Agreement1972SimlaIndira Gandhi and Z. A. BhuttoIndia–Pakistan peace framework after the 1971 war

39. If CAT is coded as DBU, how will DOG be coded?

(A) EPH
(B) EOG
(C) FPH
(D) EPG

Answer: (A) EPH

Explanation:
Each letter of CAT is replaced by the next letter of the alphabet: C→D, A→B, T→U. Applying the same shift to DOG gives D→E, O→P, G→H, so DOG is coded as EPH.

40. Which radiation can pass through a sheet of paper but is stopped by a few millimeters of aluminium sheet?

(A) Alpha rays
(B) Beta rays
(C) Gamma rays
(D) Visible rays

Answer: (B) Beta rays

Explanation: Beta rays are fast-moving electrons. They have enough penetrating power to pass through paper but are stopped by a few millimetres of aluminium. Alpha rays are stopped by paper, and gamma rays need thick lead or concrete.

Properties of Radiations

PropertyAlpha (α)Beta (β)Gamma (γ)
NatureHelium nucleus (2 protons, 2 neutrons)Electron (or positron)Electromagnetic radiation (photon)
Charge+2−10
Relative massAbout 4 uAbout 1/1836 uZero
SpeedAbout 5–10% of light speedUp to about 99% of light speedSpeed of light
Ionising powerHighestModerateLowest
Penetrating powerLowestModerateHighest
Stopped byPaper, or skinA few mm of aluminiumThick lead or concrete
Deflection in electric/magnetic fieldYes (towards the negative plate)Yes (towards the positive plate)No

41. Which one is the primary ore of iron?

(A) Hematite
(B) Bauxite
(C) Malachite
(D) Limestone

Answer: (A) Hematite

Explanation:
Hematite (Fe₂O₃) is the primary and most important ore of iron. It contains about 70% iron and is the main ore used in blast furnaces. Bauxite is the ore of aluminium, malachite is an ore of copper, and limestone is used as a flux in iron extraction.

Important Ores of Metals

OreChemical formulaMetalNotes
HematiteFe₂O₃IronAbout 70% iron; main iron ore
MagnetiteFe₃O₄IronAbout 72% iron; highest iron content; magnetic
Limonite2Fe₂O₃·3H₂OIronHydrated oxide; about 40–60% iron
SideriteFeCO₃IronAbout 48% iron
Iron pyritesFeS₂IronMostly used for sulphur, not for iron
BauxiteAl₂O₃·2H₂OAluminiumMain ore of aluminium
MalachiteCuCO₃·Cu(OH)₂CopperGreen carbonate ore
Copper pyritesCuFeS₂CopperChief ore of copper
CupriteCu₂OCopperRed oxide ore
Zinc blendeZnSZincSulphide ore
CalamineZnCO₃ZincCarbonate ore
GalenaPbSLeadChief ore of lead
CinnabarHgSMercuryChief ore of mercury
CassiteriteSnO₂TinChief ore of tin
LimestoneCaCO₃–Flux in blast furnace

42. The product of two numbers is 1280 and their H.C.F. is 8. The L.C.M. of the numbers will be

(A) 160
(B) 150
(C) 120
(D) 140

Answer: (A) 160

Explanation:
For any two numbers, product = H.C.F. × L.C.M. So L.C.M. = 1280 ÷ 8 = 160.

43. In the context of financial markets, what does ‘SEBI’ stand for?

(A) State Economic Bureau of India
(B) Securities and Exchange Board of India
(C) Stock Exchange and Banking Institution
(D) Social Enterprise and Business Initiative

Answer: (B) Securities and Exchange Board of India

Explanation:
SEBI is the regulator of India’s securities market. It was set up in 1988 as an executive body and given statutory powers by the SEBI Act, 1992. Its role is to protect investors, regulate stock exchanges and intermediaries, and promote development of the securities market.

Financial Regulators in India

RegulatorFull formEstablishedHeadquartersArea regulated
RBIReserve Bank of India1935MumbaiBanking and monetary policy
SEBISecurities and Exchange Board of India1988 (statutory 1992)MumbaiSecurities market
IRDAIInsurance Regulatory and Development Authority of India1999HyderabadInsurance
PFRDAPension Fund Regulatory and Development Authority2003New DelhiPension funds
IFSCAInternational Financial Services Centres Authority2020GIFT City, GandhinagarInternational financial services
NABARDNational Bank for Agriculture and Rural Development1982MumbaiAgriculture and rural credit
SIDBISmall Industries Development Bank of India1990LucknowSmall-scale industry finance

44. Keoladeo National Park is internationally renowned for its

(A) coral reef ecosystem.
(B) bird sanctuary.
(C) desert lake ecosystem.
(D) mangrove forest.

Answer: (B) bird sanctuary.

Explanation:
Keoladeo National Park (Keoladeo Ghana) is at Bharatpur in Rajasthan and is one of the world’s best-known bird habitats. It is a wetland that attracts thousands of resident and migratory waterfowl in winter. It was declared a national park in 1982 and a UNESCO World Heritage Site in 1985, and it is also a Ramsar site.

Major Bird Habitats and Wetlands of India

PlaceStateTypeNote
Keoladeo National ParkRajasthanFreshwater wetlandUNESCO World Heritage Site (1985); Ramsar site
Chilika LakeOdishaBrackish lagoonLargest coastal lagoon in India; winter migratory birds
Sultanpur National ParkHaryanaWetlandMigratory birds near Gurugram
Nalsarovar Bird SanctuaryGujaratLakeRamsar site
Sambhar LakeRajasthanSalt lakeLargest inland salt lake; flamingos
Ranganathittu Bird SanctuaryKarnatakaRiver islandsOn the Kaveri near Srirangapatna
Vedanthangal Bird SanctuaryTamil NaduTankOne of the oldest bird sanctuaries in India
Loktak Lake (Keibul Lamjao NP)ManipurFloating phumdisHome of the sangai deer
BhitarkanikaOdishaMangroveMangrove forest and Olive Ridley nesting
SundarbansWest BengalMangroveRoyal Bengal tiger
Gulf of MannarTamil NaduCoral reefMarine national park
Desert National ParkRajasthanDesertGreat Indian Bustard

45. Which one of the following has the highest oxidizing power?

(A) Cl₂
(B) Br₂
(C) F₂
(D) I₂

Answer: (C) F₂

Explanation:
Oxidising power is the tendency to gain electrons. Fluorine has the highest standard reduction potential (+2.87 V) of all the halogens, so it is the strongest oxidising agent. Oxidising power decreases down the group: F₂ > Cl₂ > Br₂ > I₂.

Halogens: Oxidising Power and Related Data

HalogenStandard reduction potential E° (V)Oxidising powerBond dissociation enthalpy (kJ/mol)Physical state
F₂+2.87Highest158Pale yellow gas
Cl₂+1.36High242Greenish-yellow gas
Br₂+1.09Moderate193Reddish-brown liquid
I₂+0.54Lowest151Violet-black solid

A halogen higher in the group displaces a lower one from its halide solution. For example, Cl₂ displaces Br⁻ and I⁻, but I₂ does not displace Cl⁻ or Br⁻.

46. 2/3 of three-fourth of a number is

(A) 1/2 of the number.
(B) 1/5 of the number.
(C) 7/9 of the number.
(D) 15/13 of the number.

Answer: (A) 1/2 of the number.

Explanation:
Three-fourth of a number is (3/4)x, and 2/3 of that is (2/3) × (3/4) × x = 6x/12 = x/2. So the result is 1/2 of the number.

47. Disease triangle consists of

(A) pathogen, primary host and secondary host.
(B) host, pathogen and environment.
(C) primary, secondary and tertiary host.
(D) host, parasite and a pesticide.

Answer: (B) host, pathogen and environment.

Explanation:
The disease triangle is a model in plant pathology showing that disease develops only when three factors come together: a susceptible host, a virulent pathogen and an environment favourable to the disease. If any one of the three is missing or unfavourable, disease does not develop or is much reduced.

Disease Triangle Components

ComponentWhat it meansExamples of influencing factorsControl approach
HostSusceptible plantGenetic resistance, age, plant densityResistant varieties, healthy seed
PathogenDisease-causing organism, which must be virulentFungi, bacteria, viruses, nematodesFungicides, sanitation, quarantine
EnvironmentConditions favouring infectionTemperature, humidity, rainfall, soil moisture, pHCrop rotation, drainage, spacing, irrigation timing
Time (fourth factor)Adds duration to the triangle, making a “disease tetrahedron” or pyramidLength of favourable conditionsTimely spraying and sowing

48. Which of the following is not a stem modification?

(A) Bulb of onion
(B) Corm of arbi
(C) Tuber of sweet potato
(D) Tuber of potato

Answer: (C) Tuber of sweet potato

Explanation:
The sweet potato tuber is a modified root (an adventitious storage root), not a stem. The onion bulb, arbi (colocasia) corm and potato tuber are all modified underground stems. Potato tubers have eyes (nodes) and buds, which show they are stem structures.

Modifications of Stems and Roots

ModificationOrganExampleFunction
BulbStemOnion, garlicFood storage
CormStemArbi (colocasia), saffron, gladiolusFood storage
TuberStemPotatoFood storage
RhizomeStemGinger, turmericStorage and perennation
RunnerStemGrassVegetative propagation
StolonStemJasmine, strawberryVegetative propagation
SuckerStemMint, chrysanthemumVegetative propagation
OffsetStemWater hyacinthVegetative propagation
TendrilStemGrape vine, cucumberClimbing
ThornStemCitrus, BougainvilleaProtection
PhyllocladeStemOpuntiaPhotosynthesis, water storage
Tuberous rootRootSweet potatoFood storage
Fusiform rootRootRadishFood storage
Napiform rootRootTurnip, beetFood storage
Conical rootRootCarrotFood storage
Prop rootsRootBanyanSupport
Stilt rootsRootMaize, sugarcaneSupport
PneumatophoresRootMangroves (Rhizophora)Respiration
HaustoriaRootCuscutaAbsorption from host

49. How many permanent members are there in the Security Council of the United Nations?

(A) 7
(B) 8
(C) 6
(D) 5

Answer: (D) 5

Explanation:
The UN Security Council has five permanent members: the United States, the United Kingdom, France, Russia and China. They hold veto power over substantive resolutions. The Council has 15 members in total, the other 10 being non-permanent members elected by the General Assembly for two-year terms.

Permanent Members of the UN Security Council

CountryNotes
United StatesFounding permanent member (1945)
United KingdomFounding permanent member (1945)
FranceFounding permanent member (1945)
RussiaTook the seat of the USSR in 1991
ChinaPeople’s Republic of China took the seat from the Republic of China in 1971

Security Council: Key Facts

ItemDetail
Total members15 (5 permanent, 10 non-permanent)
Non-permanent term2 years, not immediately re-electable
HeadquartersNew York
Voting9 affirmative votes needed, with no veto by a permanent member
PresidencyRotates monthly among members

50. Which of the following is a direct tax?

(A) Goods and Services Tax (GST)
(B) Value Added Tax (VAT)
(C) Corporate Tax
(D) Customs Duty

Answer: (C) Corporate Tax

Explanation:
A direct tax is paid directly to the government by the person or entity on whom it is levied, and the burden cannot be shifted to someone else. Corporate tax is charged on a company’s profits. GST, VAT and customs duty are indirect taxes, collected from consumers through the price of goods and services.

Direct and Indirect Taxes in India

TaxTypeLevied byNote
Income TaxDirectCentreOn individual and HUF income
Corporate TaxDirectCentreOn company profits
Capital Gains TaxDirectCentreOn profit from sale of assets
Securities Transaction TaxDirectCentreOn securities trades
Goods and Services Tax (GST)IndirectCentre and StatesIn force since 1 July 2017 (101st Amendment)
Value Added Tax (VAT)IndirectStatesLargely subsumed in GST in 2017
Customs DutyIndirectCentreOn imports and exports
Excise DutyIndirectCentreNow mainly on petroleum and alcohol items
Service TaxIndirectCentreSubsumed in GST in 2017
Stamp DutyIndirect (on documents)StatesOn property and legal documents

51. Which of the following river does not make a delta?

(A) Tapti
(B) Kaveri
(C) Krishna
(D) Godavari

Answer: (A) Tapti

Explanation:
The Tapti flows westward through a rift valley and falls into the Arabian Sea through an estuary, not a delta. West-flowing rivers run fast over a short, steep course and have little sediment to deposit. The Kaveri, Krishna and Godavari flow east, slow down on the wide coastal plain and form deltas in the Bay of Bengal.

Rivers: Delta or Estuary

RiverFlows intoLandform at mouthNote
TaptiArabian Sea (Gulf of Khambhat)EstuaryWest-flowing; rift valley river
NarmadaArabian Sea (Gulf of Khambhat)EstuaryLongest west-flowing river of peninsular India
MahiArabian SeaEstuaryFlows through Rajasthan, MP and Gujarat
SabarmatiArabian SeaEstuaryGujarat
LuniRann of KutchDisappears in marshRajasthan; ends without reaching the sea
GodavariBay of BengalDeltaRice-growing delta in Andhra Pradesh
KrishnaBay of BengalDeltaJoins Godavari delta area
KaveriBay of BengalDelta“Garden of South India”
MahanadiBay of BengalDeltaOdisha; Hirakud Dam
Ganga–BrahmaputraBay of BengalDelta (Sundarbans)Largest delta in the world

52. ‘Disguised Unemployment’ is a situation where

(A) people are not willing to work at the going wage rate.
(B) people are employed at the going productivity is zero or negligible.
(C) the unemployment rate is hidden due to lack of proper data.
(D) people are employed only in the informal sector.

Answer: (B) people are employed at the going productivity is zero or negligible.

Explanation:
Disguised unemployment occurs when more workers are engaged in a job than are needed, so the marginal productivity of the extra workers is zero or negligible. Removing them would not reduce total output. It is common in Indian agriculture, where many family members work on a small plot.

Types of Unemployment

TypeMeaningExample
DisguisedExtra workers whose marginal productivity is zeroSurplus family members on a small farm
SeasonalWork available only in certain seasonsAgricultural labourers in the off-season
StructuralMismatch between skills and available jobsWorkers displaced by new technology
FrictionalTemporary gap between leaving one job and starting anotherFresh graduates between jobs
CyclicalCaused by the downswing of the business cycleLayoffs in a recession
OpenAble and willing to work but unable to find any jobJobseekers in cities
EducatedEducated persons without suitable jobsGraduates in low-skilled work
TechnologicalMachines replace human labourAutomation in factories

53. In what proportion water must be added to spirit to gain 20% by selling it at the cost price?

(A) 2 : 5
(B) 1 : 5
(C) 3 : 5
(D) 4 : 5

Answer: (B) 1 : 5

Explanation:
Taking 5 parts of spirit and adding 1 part of water gives 6 parts of mixture. Selling these 6 parts at the price of spirit brings in the cost of 6 parts, while only 5 parts of spirit were paid for. The gain is 1/5 = 20%. So water and spirit are mixed in the ratio 1 : 5.

54. India crossed what milestone in non-fossil fuel installed electricity generation capacity in July, 2026?

(A) 200 GW
(B) 250 GW
(C) 300 GW
(D) 350 GW

Answer: (C) 300 GW

Explanation:
India’s non-fossil fuel installed electricity capacity reached 300.50 GW as of 31 July 2026, which means it crossed the 300 GW mark. This is more than 60% of the national target of 500 GW of non-fossil capacity by 2030. It accounts for over 54% of India’s total installed power capacity.

India’s Non-Fossil Capacity as of 31 July 2026

SourceCapacity (GW)
Solar164.59
Wind58.14
Hydro (large and small)57.24
Bio-power11.75
Nuclear8.78
Total non-fossil300.50
Total installed capacity (all sources)About 552
Target500 GW by 2030
Record addition in FY 2025–2655.29 GW (44.6 GW solar, 6 GW wind)

55. Which of the following is the main source of income for the government of India?

(A) Foreign Aid
(B) Printing Currency
(C) Taxes
(D) Sale of Public Sector Undertakings

Answer: (C) Taxes

Explanation:
Taxes, both direct and indirect, are the largest source of revenue for the Government of India. Income tax, corporate tax, GST, customs duty and excise duty together make up most of the government’s receipts. Foreign aid is small, printing currency is not used as a source of revenue, and disinvestment of PSUs is only an occasional capital receipt.

Sources of Government Revenue

CategorySourceType
Tax revenueIncome taxDirect
Tax revenueCorporate taxDirect
Tax revenueGoods and Services Tax (GST)Indirect
Tax revenueCustoms dutyIndirect
Tax revenueUnion excise dutyIndirect
Non-tax revenueInterest receipts, dividends and profits from PSUsRevenue receipt
Non-tax revenueFees, fines, licence charges, spectrum auctionsRevenue receipt
Capital receiptsMarket borrowings, loansDebt creating
Capital receiptsDisinvestment, recovery of loansNon-debt creating

56. Which is the longest river in peninsular India?

(A) Narmada
(B) Krishna
(C) Godavari
(D) Mahanadi

Answer: (C) Godavari

Explanation:
The Godavari, called the “Dakshin Ganga”, is the longest river of peninsular India at about 1,465 km. It rises at Trimbak near Nashik in Maharashtra and flows east into the Bay of Bengal. The Krishna comes second at about 1,400 km.

Major Peninsular Rivers

RiverLength (km, approx.)OriginFlows intoDirection
Godavari1,465Trimbak, Nashik (Maharashtra)Bay of BengalEast
Krishna1,400Mahabaleshwar (Maharashtra)Bay of BengalEast
Narmada1,312Amarkantak (Madhya Pradesh)Arabian SeaWest
Mahanadi858Sihawa, Dhamtari (Chhattisgarh)Bay of BengalEast
Brahmani799Formed by Koel and Sankh riversBay of BengalEast
Kaveri800Talakaveri (Karnataka)Bay of BengalEast
Tapti724Multai (Madhya Pradesh)Arabian SeaWest
Pennar597Nandi Hills (Karnataka)Bay of BengalEast

57. A vendor buys 3 bananas in a rupee and sells 4 in a rupee. Find his profit or loss percentage.

(A) Profit 15%
(B) Profit 25%
(C) Loss 15%
(D) Loss 25%

Answer: (D) Loss 25%

Explanation:
The vendor buys 3 bananas for ₹1, so each banana costs ₹1/3. He sells 4 for ₹1, so each sells for ₹1/4. Loss = 1/3 − 1/4 = 1/12 per banana. Loss % = (1/12) ÷ (1/3) × 100 = 25%.

58. Which pass connects Srinagar with Leh?

(A) Nathu-La
(B) Bum-La
(C) Zoji-La
(D) Shipki-La

Answer: (C) Zoji-La

Explanation:
Zoji La, at about 3,528 m in the Great Himalayan range, connects Srinagar in the Kashmir Valley with Kargil and Leh in Ladakh along National Highway 1. It is usually closed by snow in winter. The Zojila Tunnel under construction is meant to give all-weather connectivity.

Important Mountain Passes of India

PassLocationConnectsApprox. height (m)
Zoji LaJ&K / LadakhSrinagar – Kargil – Leh3,528
Banihal PassJ&KJammu – Srinagar2,832
Khardung LaLadakhLeh – Nubra Valley5,359
Baralacha LaHimachal Pradesh / LadakhManali – Leh4,890
Rohtang PassHimachal PradeshKullu – Lahaul-Spiti3,978
Shipki LaHimachal PradeshIndia – Tibet (Sutlej enters India)3,930
Lipulekh PassUttarakhandIndia – Tibet (Kailash Mansarovar route)–
Niti PassUttarakhandIndia – Tibet–
Nathu LaSikkimGangtok – Lhasa (India–China trade)4,310
Jelep LaSikkimSikkim – Tibet4,267
Bum LaArunachal PradeshTawang – Tibet–
Diphu PassArunachal PradeshIndia – Myanmar / China tri-junction area–

59. Which of the following is not a basis for the classification of animals?

(A) Segmentation
(B) Levels of organization
(C) Symmetry
(D) Mode of nutrition

Answer: (D) Mode of nutrition

Explanation:
Animals are classified on features such as levels of organisation, symmetry, germ layers, coelom and segmentation. Mode of nutrition is not used to classify animals because all animals are heterotrophic. It is a basis for separating the kingdoms (for example plants from animals and fungi).

Basis of Animal Classification (Major Phyla)

PhylumLevel of organisationSymmetryGerm layersCoelomSegmentation
PoriferaCellularAsymmetrical or radial– (no true layers)AbsentAbsent
CnidariaTissueRadialDiploblasticAbsentAbsent
CtenophoraTissueRadialDiploblasticAbsentAbsent
PlatyhelminthesOrganBilateralTriploblasticAcoelomateAbsent
AschelminthesOrgan systemBilateralTriploblasticPseudocoelomateAbsent
AnnelidaOrgan systemBilateralTriploblasticCoelomatePresent (metameric)
ArthropodaOrgan systemBilateralTriploblasticCoelomatePresent
MolluscaOrgan systemBilateralTriploblasticCoelomateAbsent
EchinodermataOrgan systemRadial (adult)TriploblasticCoelomateAbsent
HemichordataOrgan systemBilateralTriploblasticCoelomateAbsent
ChordataOrgan systemBilateralTriploblasticCoelomatePresent

60. Which one is the feature of economic globalization?

(A) Foreign Direct Investment
(B) Subsidies to the Industries
(C) Community-led Economic Development
(D) License-based Industrialization

Answer: (A) Foreign Direct Investment

Explanation:
Economic globalisation is the integration of national economies through trade, investment and technology flows. Foreign Direct Investment (FDI) by multinational companies is one of its main features. Subsidies to industries, community-led development and licence-based industrialisation (the licence raj) belong to the earlier controlled, inward-looking model that India moved away from in 1991.

Features of Economic Globalisation and India’s 1991 Reforms

FeatureMeaningIndia’s example
Foreign Direct InvestmentOverseas firms invest directly in domestic businessesFDI limits raised in many sectors since 1991
Trade liberalisationLower tariffs and fewer import restrictionsCustoms duty reduced
Free flow of capitalEasier movement of money across bordersForeign Portfolio Investment allowed
Multinational corporationsFirms operating in many countriesEntry of global companies after 1991
Technology transferSpread of technology and know-howIT and manufacturing sectors
Delicensing and privatisationLess state control over industryAbolition of industrial licensing for most industries
Membership in global bodiesRule-based tradeIndia a member of WTO since 1995
Outsourcing and global supply chainsProduction split across countriesBPO and IT services

61. The sum of all even numbers between 21 and 51 is

(A) 518
(B) 540
(C) 560
(D) 596

Answer: (B) 540

Explanation:
The even numbers between 21 and 51 are 22, 24, …, 50. This is an arithmetic progression with first term 22, last term 50 and common difference 2. The number of terms is (50 − 22) ÷ 2 + 1 = 15. The sum is 15 × (22 + 50) ÷ 2 = 15 × 36 = 540.

62. Which one of the following is not a greenhouse gas?

(A) CO₂
(B) CH₄
(C) N₂
(D) Chlorofluorocarbon (CFC)

Answer: (C) N₂

Explanation:
Greenhouse gases absorb infrared radiation and trap heat in the atmosphere. CO₂, CH₄ and CFCs do this. Nitrogen (N₂), which makes up about 78% of air, is a diatomic molecule that does not absorb infrared radiation significantly, so it is not a greenhouse gas.

Greenhouse Gases

GasFormulaMain sourceRelative warming potential (100 years, approx.)Note
Carbon dioxideCO₂Fossil fuels, deforestation1Largest contributor to warming
MethaneCH₄Paddy fields, livestock, landfillsAbout 28Short-lived but potent
Nitrous oxideN₂OFertilisers, industryAbout 265Long-lived
ChlorofluorocarbonsCFCsRefrigerants, aerosolsThousandsAlso deplete ozone; controlled by the Montreal Protocol
HydrofluorocarbonsHFCsRefrigerantsHundreds to thousandsPhased down under the Kigali Amendment
Water vapourH₂OEvaporation–Natural greenhouse gas; strong feedback effect
Ozone (troposphere)O₃Reactions of pollutants–Secondary pollutant
Sulphur hexafluorideSF₆Electrical industryAbout 23,500Very long-lived
NitrogenN₂NaturalNoneNot a greenhouse gas
OxygenO₂NaturalNoneNot a greenhouse gas

63. About the Deccan policy of Aurangzeb, Jadunath Sarkar has written, ‘The Sultan … turned Napoleon and the Deccan ulcer ruined Aurangzeb,’ because

(A) Mughal-Maratha wars were prolonged throughout the whole of the South, except Kerala.
(B) the endless wars in the South demoralised the Mughal army and ruined economy in the South completely.
(C) the wars in the South turned into civil wars, the end of which seemed impossible.
(D) All of the above

Answer: (D) All of the above

Explanation:
Aurangzeb spent the last 26 years of his life (1681–1707) in the Deccan fighting the Marathas, Bijapur and Golconda. The wars dragged on across the south, drained the treasury, wore out the army and left the empire unable to hold its gains. Sarkar compared this to the Spanish campaign that ruined Napoleon, and each of the options (A), (B) and (C) describes part of that damage.

Aurangzeb’s Deccan Policy: Key Events

YearEvent
1681Aurangzeb moves to the Deccan, never to return north
1686Conquest of Bijapur (Adil Shahi dynasty ended)
1687Conquest of Golconda (Qutb Shahi dynasty ended)
1689Sambhaji captured and executed
1689–1707Rajaram, then Tarabai, continue Maratha resistance
1698–1707Long sieges of forts; Marathas raid Mughal territory widely
1707Aurangzeb dies at Ahmednagar

Consequences

AreaEffect
TreasuryHuge expenditure on a permanent campaign
ArmyExhausted and demoralised; discipline weakened
AdministrationJagirdari crisis; officers short of jagirs
North IndiaNeglected; rebellions of Jats, Sikhs, Satnamis and Rajputs
MarathasBecame a stronger, more widespread power
EmpireBegan to decline after his death

64. Who is the present Vice-President of India?

(A) Jagdeep Dhankhar
(B) M. Venkaiah Naidu
(C) P. Chidambaram
(D) Mohammad Hamid Ansari

Answer: None of the options. The present Vice-President is C. P. Radhakrishnan.

Explanation:
C. P. Radhakrishnan has been serving as the 15th Vice-President of India since September 2025. Jagdeep Dhankhar held the office from 2022 but is no longer in it, so option (A) is out of date. The other three are earlier Vice-Presidents, and P. Chidambaram has never held the post. If the paper’s key gives (A), it was probably prepared before Dhankhar’s exit, so check the official answer key.

Recent Vice-Presidents of India

Vice-PresidentTenureNote
Mohammad Hamid Ansari2007–2017Served two full terms
M. Venkaiah Naidu2017–202213th Vice-President
Jagdeep Dhankhar2022–202514th Vice-President
C. P. Radhakrishnan2025–present15th Vice-President; former Governor of Maharashtra

Vice-President: Constitutional Facts

ItemDetail
Article creating the officeArticle 63
ElectionBy an electoral college of members of both Houses of Parliament (Article 66)
Term5 years
Ex-officio roleChairman of the Rajya Sabha
First Vice-PresidentDr. S. Radhakrishnan (1952)

65. The cost of manufacture of a tape recorder is ₹1,500. The manufacturer fixes the marked price 20% above the cost of manufacture and allows a discount of 10%. What is the rate of discount if the marked price is fixed at ₹1,620?

(A) 12%
(B) 8%
(C) 20%
(D) 10%

Answer: (D) 10%

Explanation:
The marked price is 20% above the cost: 1500 × 1.20 = ₹1,800. A 10% discount gives a selling price of 1800 × 0.90 = ₹1,620. So the ₹1,620 in the question is the price at which the item is finally sold, and the discount rate that produces it from the marked price of ₹1,800 is 10%. The last line of the question is worded confusingly, so check the official key if your answer differs.

66. Which of the following optical phenomena is mainly responsible for the formation of rainbow?

(A) Reflection of light only
(B) Refraction, dispersion and internal reflection of light
(C) Diffraction of light only
(D) Polarization of light only

Answer: (B) Refraction, dispersion and internal reflection of light

Explanation:
A rainbow forms when sunlight enters raindrops. The light is refracted on entering the drop, dispersed into its colours, internally reflected at the back of the drop, and refracted again when it leaves. The observer sees red on the outer edge and violet on the inner edge of the primary bow, at about 42° and 40° from the antisolar point.

Stages in Rainbow Formation

StagePhenomenonWhat happens
1RefractionSunlight bends on entering the water drop
2DispersionWhite light splits into VIBGYOR because each colour bends by a different amount
3Internal reflectionLight is reflected from the back of the drop
4RefractionLight bends again as it leaves the drop

Related Optical Phenomena

PhenomenonCauseExample
Primary rainbowOne internal reflectionRed outside, violet inside
Secondary rainbowTwo internal reflectionsFainter, colours reversed
ScatteringLight deflected by small particlesBlue sky, red sunset
Total internal reflectionLight cannot leave a denser mediumMirage, optical fibre, diamond sparkle
Atmospheric refractionLight bends in air of varying densityTwinkling of stars

67. Which catalyst is used for the synthesis of H₂SO₄ in contact process?

(A) Fe
(B) V₂O₅
(C) Cu
(D) MnO₂

Answer: (B) V₂O₅

Explanation:
In the contact process, SO₂ is oxidised to SO₃ using vanadium pentoxide (V₂O₅) as the catalyst at about 450 °C and 1–2 atm. The SO₃ is absorbed in concentrated H₂SO₄ to give oleum, which is diluted to produce sulphuric acid.

Catalysts in Industrial Processes

ProcessProductCatalystConditions
Contact processH₂SO₄V₂O₅About 450 °C, 1–2 atm
Haber processNH₃Finely divided iron (Fe) with Mo as promoter450–500 °C, about 200 atm
Ostwald processHNO₃Platinum–rhodium gauzeAbout 800 °C
Lead chamber processH₂SO₄Oxides of nitrogenOlder method
Hydrogenation of oilsVanaspati gheeNickel (Ni)About 473 K
Deacon’s processCl₂CuCl₂About 400 °C
Bosch processH₂Fe₂O₃ with Cr₂O₃Water gas shift
Fischer–TropschHydrocarbonsFe or CoSyngas to fuel

68. Who served as President of the 80th Session of the UN General Assembly?

(A) Annalena Baerbock
(B) Ursula von der Leyen
(C) Mia Mottley
(D) Amina J. Mohammed

Answer: (A) Annalena Baerbock

Explanation:
Annalena Baerbock of Germany, a former German Foreign Minister, was elected President of the 80th Session of the UN General Assembly in June 2025. The session opened in September 2025 at UN Headquarters, New York.

Recent Presidents of the UN General Assembly

SessionYear (opening)PresidentCountry
76th2021Abdulla ShahidMaldives
77th2022Csaba KőrösiHungary
78th2023Dennis FrancisTrinidad and Tobago
79th2024Philemon YangCameroon
80th2025Annalena BaerbockGermany

69. The simplification of 1/8 + 1/82 + 1/83+ 1/84+ 1/85 to three places of decimal yields

(A) 0.143
(B) 0.163
(C) 0.215
(D) 0.715

Answer: (A) 0.143

Explanation: The terms are 1/8, 1/8², 1/8³, 1/8⁴ and 1/8⁵, which form a geometric series with first term 1/8 and common ratio 1/8. The sum is (1/8) × (1 − (1/8)⁵) ÷ (1 − 1/8) = (1/7) × (1 − 1/32768) = 4681/32768 ≈ 0.142853. To three decimal places this is 0.143.

70. The displacement-time graph of a particle is parallel to the time axis, then

(A) the particle is moving with increasing velocity.
(B) the particle is at rest.
(C) the particle is moving with uniform acceleration.
(D) the particle is moving with increasing acceleration.

Answer: (B) the particle is at rest.

Explanation:
In a displacement-time graph, the slope gives velocity. A line parallel to the time axis has zero slope, so the displacement does not change with time and the velocity is zero. The particle is at rest.

Reading Displacement-Time Graphs

Shape of graphSlope (velocity)Motion
Straight line parallel to time axisZeroAt rest
Straight line, inclined upwardConstant, positiveUniform velocity (zero acceleration)
Straight line, inclined downwardConstant, negativeUniform velocity in the opposite direction
Curve bending upward (concave up)IncreasingUniform or increasing acceleration
Curve bending downward (concave down)DecreasingRetardation (slowing down)
Line parallel to displacement axisInfiniteNot possible for a real particle

71. If a + b + c = 0, then find the value of (a²/bc + b²/ca + c²/ab).

(A) -1
(B) 0
(C) 1
(D) 3

Answer: (D) 3

Explanation:
Combine the three fractions over the common denominator abc: a²/bc + b²/ca + c²/ab = (a³ + b³ + c³) ÷ abc. When a + b + c = 0, the identity a³ + b³ + c³ = 3abc holds. So the expression equals 3abc ÷ abc = 3.

72. An increase in the Cash Reserve Ratio (CRR) by the central bank generally results in

(A) an increase in the money supply.
(B) a decrease in the money supply.
(C) no change in the money supply.
(D) an increase in the fiscal deficit.

Answer: (B) a decrease in the money supply.

Explanation:
CRR is the share of a bank’s deposits that it must keep with the central bank in cash. When the central bank raises CRR, banks have less money left to lend, so credit creation falls and the money supply decreases. A lower CRR has the opposite effect.

Monetary Policy Tools of the RBI

ToolMeaningEffect when raisedEffect when lowered
Cash Reserve Ratio (CRR)Share of deposits banks keep with the RBI in cashMoney supply fallsMoney supply rises
Statutory Liquidity Ratio (SLR)Share of deposits banks keep in liquid assets (gold, securities, cash)Less lending capacityMore lending capacity
Repo rateRate at which the RBI lends short-term to banksCredit becomes costlier; demand fallsCredit becomes cheaper
Reverse repo rateRate at which the RBI borrows from banksBanks park more funds with the RBILess attractive to park funds
Bank rateLong-term lending rate of the RBIBorrowing costlierBorrowing cheaper
Marginal Standing Facility (MSF)Emergency overnight borrowing by banksHigher cost of emergency fundsLower cost
Open Market Operations (OMO)Buying or selling government securitiesSelling securities drains liquidityBuying securities adds liquidity

73. The velocity of P-waves is

(A) 5 to 8 km/second.
(B) 3 to 5 km/second.
(C) 1 to 2 km/second.
(D) None of the above

Answer: (A) 5 to 8 km/second.

Explanation: P-waves (primary or compressional waves) are the fastest seismic waves and the first to reach a seismograph. In the crust they travel at roughly 5 to 8 km/s, and their speed increases with depth in the mantle. They pass through solids, liquids and gases.

Seismic Waves

WaveTypeTypical velocity (crust)MediumMotion of particlesArrival
P-wave (primary)Body wave, longitudinalAbout 5–8 km/sSolid, liquid, gasParallel to wave directionFirst
S-wave (secondary)Body wave, transverseAbout 3–4.5 km/sSolids onlyPerpendicular to wave directionSecond
Love waveSurface waveSlower than S-wavesSurfaceHorizontal shearAfter body waves
Rayleigh waveSurface waveSlower than Love wavesSurfaceRolling, ellipticalLast; most damage

74. A can do 1/2 of a piece of work in 5 days, B can do 3/5 of the same work in 9 days and C can do 2/3 of that work in 8 days. In how many days can three of them together do the work?

(A) 3 days
(B) 5 days
(C) 4½ days
(D) 4 days

75. Equal sums of money are lent to X and Y at 7.5% p.a. for one year and 5 years respectively. If the difference in the interest paid by them was ₹150, the sum lent to each was

(A) ₹500
(B) ₹1,000
(C) ₹2,000
(D) ₹3,000

Answer: (A) ₹500

Explanation: Taking simple interest, let the sum be P. Interest for 1 year is 7.5% of P and for 5 years is 37.5% of P. The difference is (37.5% − 7.5%) of P = 30% of P = 0.30P. Setting 0.30P = 150 gives P = ₹500.

76. Which smallest number must be added to 2203 so that we get a perfect square?

(A) 1
(B) 3
(C) 6
(D) 8

Answer: (C) 6

Explanation: The square of 46 is 2116, which is below 2203, and the square of 47 is 2209, which is above it. The next perfect square after 2203 is 2209, so the smallest number to add is 2209 − 2203 = 6.

77. India is a member of which of the following organizations?

(A) NATO
(B) Mercosur
(C) Quad
(D) OPEC

Answer: (C) Quad

Explanation: India is a member of the Quad (Quadrilateral Security Dialogue) along with the United States, Japan and Australia. India is not a member of NATO (a North Atlantic military alliance), Mercosur (a South American trade bloc) or OPEC (an oil-exporting group).

Organisations and India’s Status

OrganisationFocusMembers / RegionIndia a member?
QuadIndo-Pacific cooperationIndia, USA, Japan, AustraliaYes
NATOMilitary allianceNorth America and EuropeNo
MercosurTrade blocArgentina, Brazil, Paraguay, Uruguay and othersNo (India has a preferential trade agreement with it)
OPECOil producers’ groupSaudi Arabia, Iraq, Iran, UAE and othersNo
BRICSEmerging economiesBrazil, Russia, India, China, South Africa and othersYes
SCOSecurity and economic cooperationEurasian statesYes (since 2017)
G20Major economies19 countries plus the EU and the African UnionYes
SAARCSouth Asian cooperationEight South Asian countriesYes
BIMSTECBay of Bengal cooperationSeven countriesYes
Commonwealth of NationsFormer British territoriesMany countriesYes
WTOGlobal trade rulesMost countriesYes (since 1995)
ASEANSoutheast Asian blocTen Southeast Asian countriesNo (dialogue partner)

78. The time duration of 1 hour 45 minutes is what percent of a day?

(A) 7.218%
(B) 7.292%
(C) 8.3%
(D) 8.24%

Answer: (B) 7.292%

Explanation: 1 hour 45 minutes is 105 minutes. A day has 24 × 60 = 1440 minutes. The required percentage is 105 ÷ 1440 × 100 = 7.2917%, which is 7.292% to three decimal places.

79. A triple bond is present in which of the following molecules?

(A) H₂
(B) N₂
(C) O₂
(D) Br₂

Answer: (B) N₂

Explanation:
Each nitrogen atom has 5 valence electrons and needs 3 more to complete its octet. Two nitrogen atoms share three pairs of electrons, forming a triple bond (N≡N). This bond is very strong, which makes nitrogen gas unreactive.

Bonds in Common Molecules

MoleculeBond typeBond orderBond energy (kJ/mol, approx.)
N₂Triple (N≡N)3945
H₂Single (H–H)1436
O₂Double (O=O)2498
Br₂Single (Br–Br)1193
Cl₂Single (Cl–Cl)1242
F₂Single (F–F)1158
CO₂Two double bonds (O=C=O)2–
COTriple (C≡O)31072
C₂H₂ (acetylene)Triple (C≡C)3About 837
HCNTriple (C≡N)3–

80. Loktak lake is located in

(A) Assam
(B) Manipur
(C) Mizoram
(D) Tripura

Answer: (B) Manipur

Explanation:
Loktak Lake, in the Bishnupur district of Manipur, is the largest freshwater lake in North-East India. It is known for its floating islands of vegetation called phumdis. Keibul Lamjao National Park, the only floating national park in the world, lies on it and is the home of the endangered sangai (brow-antlered deer). Loktak is a Ramsar site.

Important Lakes of India

LakeState / UTTypeNote
LoktakManipurFreshwaterPhumdis; Keibul Lamjao NP; sangai
WularJammu and KashmirFreshwaterOne of the largest freshwater lakes in India
DalJammu and KashmirFreshwaterSrinagar; shikaras and houseboats
Pangong TsoLadakhSalineShared with Tibet (China)
Tso MoririLadakhBrackishHigh-altitude Ramsar site
ChilikaOdishaBrackish lagoonLargest coastal lagoon in India
PulicatAndhra Pradesh / Tamil NaduBrackish lagoonSecond largest lagoon in India
KolleruAndhra PradeshFreshwaterBetween the Godavari and Krishna deltas
SambharRajasthanSalt lakeLargest inland salt lake in India
PushkarRajasthanFreshwaterPilgrim site
LonarMaharashtraSaline crater lakeFormed by a meteorite impact
VembanadKeralaBackwaterLongest lake in India; Kumarakom
NalsarovarGujaratFreshwaterBird sanctuary
Deepor BeelAssamFreshwater wetlandRamsar site near Guwahati
Umiam (Barapani)MeghalayaReservoirNear Shillong
RudrasagarTripuraFreshwaterRamsar site
Tsomgo (Changu)SikkimGlacialHigh altitude
Hussain SagarTelanganaArtificialHyderabad

81. What is the capital of Ukraine?

(A) Muscat
(B) Warsaw
(C) Kyiv
(D) Abu Dhabi

Answer: (C) Kyiv

Explanation: Kyiv is the capital and largest city of Ukraine. It lies on the Dnieper River in the north-central part of the country. Muscat is the capital of Oman, Warsaw of Poland and Abu Dhabi of the UAE.

Ukraine and Its Neighbours

CountryCapital
UkraineKyiv
PolandWarsaw
BelarusMinsk
RussiaMoscow
MoldovaChisinau
RomaniaBucharest
HungaryBudapest
SlovakiaBratislava
OmanMuscat
United Arab EmiratesAbu Dhabi

82. The ratio of the number of boys to that of girls in a school having 540 students is 13 : 11. What will be the new ratio if 3 more girls are admitted?

(A) 7 : 6
(B) 6 : 7
(C) 10 : 11
(D) 13 : 14

Answer: (A) 7 : 6

Explanation:
For 540 students in the ratio 13 : 11, the boys number 292.5 and the girls 247.5, which are not whole numbers. So the question has a data error. Using these values anyway, adding 3 girls gives 250.5 girls, and the ratio is 292.5 : 250.5 = 195 : 167, about 1.168. This is closest to 7 : 6.

83. The value of 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90 is

(A) 1/10
(B) 3/5
(C) 3/20
(D) 7/20

Answer: (C) 3/20

Explanation: Each denominator is a product of consecutive integers: 20 = 4×5, 30 = 5×6, 42 = 6×7, 56 = 7×8, 72 = 8×9, 90 = 9×10. Using 1/(n(n+1)) = 1/n − 1/(n+1), the terms cancel in pairs, leaving 1/4 − 1/10 = 5/20 − 2/20 = 3/20.

84. Who is the Director General of the World Health Organization (WHO) in 2026?

(A) Tedros Adhanom Ghebreyesus
(B) Margaret Chan
(C) Gro Harlem Brundtland
(D) Ngozi Okonjo-Iweala

Answer: (A) Tedros Adhanom Ghebreyesus

Explanation:
Dr Tedros began his second term as WHO Director-General on 16 August 2022, and the term ends on 15 August 2027. Ngozi Okonjo-Iweala heads the World Trade Organization, not WHO, while Margaret Chan and Gro Harlem Brundtland are former WHO Directors-General. who

WHO Directors-General

Director-GeneralCountryTenure
Brock ChisholmCanada1948–1953
Marcolino CandauBrazil1953–1973
Halfdan MahlerDenmark1973–1988
Hiroshi NakajimaJapan1988–1998
Gro Harlem BrundtlandNorway1998–2003
Lee Jong-wookSouth Korea2003–2006
Margaret ChanChina2006–2017
Tedros Adhanom GhebreyesusEthiopia2017–present (term ends August 2027)

85. Which country holds the G7 Presidency in 2026?

(A) Germany
(B) France
(C) Italy
(D) Canada

Answer: (B) France

Explanation:
France has held the G7 presidency since 1 January 2026. It hosted the 52nd G7 summit in Évian-les-Bains from 15 to 17 June 2026. The presidency rotates annually among the seven members, and Canada held it in 2025.

Recent G7 Presidencies

YearHost countrySummit venue
2019FranceBiarritz
2020United StatesSummit cancelled (COVID-19)
2021United KingdomCarbis Bay
2022GermanySchloss Elmau
2023JapanHiroshima
2024ItalyApulia
2025CanadaKananaskis
2026FranceÉvian-les-Bains

G7 Members: Canada, France, Germany, Italy, Japan, United Kingdom and United States. The European Union takes part as a guest.

86. If a liquid does not wet glass, the angle of contact is

(A) Zero angle
(B) Acute angle
(C) Obtuse angle
(D) Right angle

Answer: (C) Obtuse angle

Explanation:
The angle of contact is measured inside the liquid between the liquid surface and the solid surface. A liquid that wets glass has an acute angle and rises in a capillary tube. A liquid that does not wet glass, like mercury, has an obtuse angle (about 140°), so its meniscus is convex and it is depressed in a capillary tube.

Angle of Contact and Wetting

Liquid–solid pairAngle of contactBehaviourMeniscusLevel in capillary
Water – clean glassAcute (near 0°)WetsConcaveRises
Alcohol – glassAbout 0°Wets completelyConcaveRises
Mercury – glassAbout 140° (obtuse)Does not wetConvexFalls
Water – waxy or oily surfaceObtuseDoes not wetConvexFalls
Water – lotus leafAbove 150°Highly non-wetting––
Boundary case90°Neither wets nor repelsFlatNo change

87. Which Indian athlete is aiming for a hat-trick of Asian Games gold medals in men’s 10,000m?

(A) Avinash Sable
(B) Rohit Yadav
(C) Neeraj Chopra
(D) Tajinder Pal Singh Toor

Explanation:
Among the options, Toor is the athlete who was aiming for a hat-trick of Asian Games gold medals. He won gold in 2018 and 2022 in the men’s shot put, not the 10,000 m, so the event in the question appears to be a mistake. At the 2026 Nagoya Games he settled for silver with a throw of 20.64 m, behind Iran’s Mohammadreza Tayebise, so the hat-trick bid fell short.

Tajinderpal Singh Toor at the Asian Games

EditionVenueEventResultBest throw
2018JakartaMen’s shot putGold20.75 m (Games record at the time)
2022 (held in 2023)HangzhouMen’s shot putGold20.36 m
2026Aichi-NagoyaMen’s shot putSilver20.64 m

The Other Athletes

AthleteEvent
Avinash SableSteeplechase (3000 m)
Neeraj ChopraJavelin throw
Rohit YadavJavelin throw

88. Before the foundation of Calcutta, the biggest English Settlement in Bengal was at

(A) Qasim Bazar
(B) Chittagong
(C) Hugli
(D) Murshidabad

Answer: (C) Hugli

Explanation:
Before Calcutta was founded in 1690 by Job Charnock, the principal English settlement and factory in Bengal was at Hugli (Hooghly), established in the 1650s. After Mughal clashes in 1686, Charnock left Hugli and moved to the site that became Calcutta.

English Settlements in Eastern India

PlaceApprox. yearNote
Balasore (Orissa)1633First English factory in eastern India
Hugli1651Main English settlement in Bengal before Calcutta
Qasim Bazar1650sSilk-trade factory near Murshidabad
Patna1620sSaltpetre trade
Sutanuti (Calcutta)1690Job Charnock settled here
Fort William1696–1702Fort built; became the Presidency headquarters
Calcutta, Sutanuti and Govindapur1698Zamindari rights acquired from local landholders
Farrukhsiyar’s farman1717Duty-free trade rights in Bengal

89. What was the theme of National Science Day, 2026?

(A) Science for Sustainable Development
(B) Women in Science: Catalyzing Civil Society in Bharat
(C) Science for New India
(D) Science and Innovation for all

Answer: (B) Women in Science: Catalyzing Civil Society in Bharat (closest to the official theme)

Explanation: The theme of National Science Day on 28 February 2026 was “Women in Science: Catalysing Viksit Bharat”. Option (B) differs in wording, with “Civil Society in Bharat” in place of “Viksit Bharat”, but it is the only option about women in science, so it is the intended answer. Check the key if your paper prints the theme differently.

National Science Day Themes

YearTheme
2020Women in Science
2022Integrated Approach in Science and Technology for Sustainable Future
2023Global Science for Global Wellbeing
2024Indigenous Technologies for Viksit Bharat
2025Empowering Indian Youth for Global Leadership in Science and Innovation for Viksit Bharat
2026Women in Science: Catalysing Viksit Bharat

National Science Day is observed on 28 February to mark C. V. Raman’s discovery of the Raman Effect in 1928. It has been celebrated since 1987.

90. If 30% of A is added to 40% of B, the answer is 80% of B. What percentage of A is B?

(A) 30%
(B) 40%
(C) 70%
(D) 75%

Answer: (D) 75%

Explanation: The condition is 30% of A + 40% of B = 80% of B. So 30% of A = 40% of B, which means 0.3A = 0.4B. Then B = 0.3A ÷ 0.4 = 0.75A, so B is 75% of A.

Working Details

91. Which of the following is an example of a ‘Merit Good’?

(A) Cigarettes
(B) Education
(C) Luxury Cars
(D) Fast Food

Answer: (B) Education

Explanation:
A merit good is one the government considers to be socially desirable, so it encourages its consumption through subsidies or direct provision, since people tend to under-consume it. Education gives wider benefits to society, such as a skilled workforce and higher productivity. Cigarettes are demerit goods, and luxury cars and fast food are ordinary private goods.

Types of Goods

TypeMeaningExamplesRole of government
Merit goodBeneficial; under-consumed if left to the marketEducation, vaccination, healthcare, school mealsSubsidy or free provision
Demerit goodHarmful; over-consumedCigarettes, alcohol, tobacco, gutkhaTaxes, bans, warnings
Public goodNon-rival and non-excludableNational defence, street lights, lighthousesProvided by the state
Private goodRival and excludableFast food, clothes, luxury carsLeft to the market
Common resourceRival but non-excludableFisheries, forests, groundwaterRegulation
Club goodNon-rival but excludableCable TV, toll roads, private parksMarket or club provision

92. The Tehri Dam is built on the

(A) Bhagirathi river
(B) Alaknanda river
(C) Yamuna river
(D) Son river

Answer: (A) Bhagirathi river

Explanation: The Tehri Dam is built on the Bhagirathi river near its confluence with the Bhilangana at Tehri in Uttarakhand. At about 260 m it is the tallest dam in India. It is a rock and earth-fill dam used for hydropower, irrigation and drinking water supply. The Bhagirathi and Alaknanda join at Devprayag to form the Ganga.

Major Dams of India

DamRiverStateNote
TehriBhagirathiUttarakhandTallest dam in India
Bhakra NangalSutlejHimachal Pradesh / PunjabGobind Sagar reservoir
HirakudMahanadiOdishaAmong the longest earthen dams in the world
Sardar SarovarNarmadaGujaratLarge gravity dam
Indira SagarNarmadaMadhya PradeshLarge reservoir
Nagarjuna SagarKrishnaTelangana / Andhra PradeshMasonry dam
SrisailamKrishnaAndhra Pradesh / TelanganaHydropower
TungabhadraTungabhadraKarnatakaIrrigation
MetturKaveriTamil NaduStanley Reservoir
IdukkiPeriyarKeralaArch dam
KoynaKoynaMaharashtraHydropower
BansagarSonMadhya PradeshMulti-purpose project on the Son
Rihand (Govind Ballabh Pant Sagar)RihandUttar PradeshTributary of the Son
Maithon and PanchetBarakar and DamodarJharkhandDamodar Valley Corporation

93. ‘Red Data Book’ gives an account of

(A) extinct animals only.
(B) plant fossils.
(C) endangered plants only.
(D) endangered plants, animals and fungi.

Answer: (D) endangered plants, animals and fungi.

Explanation: The Red Data Book (Red List) is maintained by the IUCN (International Union for Conservation of Nature). It records the conservation status of species, covering plants, animals and fungi that are threatened or endangered. It also carries information on extinct species and is a guide for conservation planning.

IUCN Red List Categories

CategoryAbbreviationMeaningExample
ExtinctEXNo living individual remainsDodo, Passenger pigeon
Extinct in the WildEWSurvives only in captivity–
Critically EndangeredCRExtremely high risk of extinctionGreat Indian Bustard, Gharial
EndangeredENVery high risk of extinctionBengal Tiger, Red Panda
VulnerableVUHigh risk of extinctionAsiatic Lion (listed as EN in recent assessments), Sloth bear
Near ThreatenedNTLikely to become threatened soon–
Least ConcernLCWidespread and abundantHouse sparrow
Data DeficientDDNot enough data to assess–
Not EvaluatedNENot yet assessed–

The IUCN was founded in 1948 and the Red Data Book was begun in 1964. India’s own counterpart is the Zoological Survey of India’s Red Data Book for animals and the Botanical Survey of India’s for plants.

94. Which state of India shares the longest boundary West Bengal?

(A) Bihar
(B) Jharkhand
(C) Odisha
(D) Assam

Answer: (B) Jharkhand

Explanation: West Bengal’s international borders are with Bangladesh, Nepal and Bhutan, and the longest is with Bangladesh, about 2,217 km. None of the four options is a country, so the question evidently asks which neighbouring Indian state shares the longest border with West Bengal. Jharkhand is the neighbouring state with the longest shared border with West Bengal.

Neighbours of West Bengal

NeighbourTypeDirection from West Bengal
BangladeshInternational (longest, about 2,217 km)East and south-east
NepalInternationalNorth-west
BhutanInternationalNorth
JharkhandIndian stateWest
BiharIndian stateNorth-west
OdishaIndian stateSouth-west
AssamIndian stateNorth-east
SikkimIndian stateNorth

95. Radha spends 40% of her salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If her savings at the end of a month is ₹1,500, then her salary per month (in ₹) is:

(A) 8,000
(B) 7,500
(C) 6,000
(D) 10,000

The correct answer is (B) 7,500

96. The wrath of the indigo agitations of the nineteenth century was mainly directed against the oppression of the peasantry by

(A) the Government
(B) the Foreign Planters
(C) the Zamindars
(D) the Money Lenders

Answer: (B) the Foreign Planters

Explanation:
The Indigo Revolt (Nil Vidroh) of 1859–60 in Bengal was directed against European indigo planters. They forced peasants to grow indigo on their best land under the tinkathia system, paid very low prices and used violence and false cases against those who refused. Dinabandhu Mitra’s play Nil Darpan (1860) exposed these abuses.

Indigo Revolt: Key Facts

ItemDetails
Year1859–60
RegionBengal (Nadia district, Barasat and Jessore)
LeadersDigambar Biswas and Bishnu Biswas (Nadia)
CauseForced cultivation under planters’ contracts, very low prices
SupportersHarish Chandra Mukherjee (Hindoo Patriot), Dinabandhu Mitra (Nil Darpan), missionaries
Government responseIndigo Commission (1860)
OutcomePlanters’ abuses curbed; many abandoned indigo in Bengal

Related Peasant Movements

MovementYearRegionDirection of protest
Champaran Satyagraha1917BiharIndigo planters (tinkathia system)
Pabna Agrarian League1873–76East BengalZamindars
Deccan Riots1875MaharashtraMoneylenders
Kuka Movement1860s–70sPunjabBritish rule
Bardoli Satyagraha1928GujaratLand revenue increase

97. Two men are standing at opposite ends of a bridge 1200 metres long. If they walk towards each other at the rate of 5 m/minute and 10 m/minute respectively, in how many minutes will they meet each other?

(A) 60 minutes
(B) 80 minutes
(C) 85 minutes
(D) 90 minutes

Explanation: The two men walk towards each other, so their speeds add: 5 + 10 = 15 m/min. They start 1200 m apart, so they meet after 1200 ÷ 15 = 80 minutes.

98. The primary chemical compound present in LPG is

(A) Buten
(B) Acetylene
(C) Ethylene
(D) Ethanol

Answer: (A) Buten (butane)

Explanation: LPG (liquefied petroleum gas) is mainly a mixture of butane (C₄H₁₀) and propane (C₃H₈), with butane as the main component in the cylinders used in Indian homes. “Buten” in the option appears to be a misspelling of butane. Butene is an alkene and not the main constituent. Acetylene, ethylene and ethanol are not constituents of LPG. A small amount of ethyl mercaptan is added so that leaks can be detected by smell.

Composition and Uses of Common Fuel Gases

FuelMain constituentsTypical use
LPGButane and propane (with a trace of ethyl mercaptan)Cooking, heating
CNGMethane (CH₄)Vehicles, piped gas
Natural gasMethane, some ethanePower, fertiliser
BiogasMethane and CO₂Rural cooking and lighting
AcetyleneC₂H₂Welding and cutting
Water gasCO and H₂Industrial fuel
Producer gasCO and N₂Industrial fuel

99. Convention on the Elimination of all forms of Discrimination Against Women (CEDAW) was adopted by

(A) African Union
(B) United Nations
(C) SAARC
(D) European Union

Answer: (B) United Nations

Explanation: CEDAW was adopted by the UN General Assembly on 18 December 1979 and came into force on 3 September 1981. It is often called the international bill of rights for women. India signed it in 1980 and ratified it in 1993. Its implementation is monitored by the CEDAW Committee.

Key International Human Rights Instruments

InstrumentAdoptedAdopting body
Universal Declaration of Human Rights1948UN General Assembly
International Covenant on Civil and Political Rights (ICCPR)1966UN General Assembly
International Covenant on Economic, Social and Cultural Rights (ICESCR)1966UN General Assembly
CEDAW1979UN General Assembly
Convention against Torture1984UN General Assembly
Convention on the Rights of the Child1989UN General Assembly
Convention on the Rights of Persons with Disabilities2006UN General Assembly

100. A man borrowed some money from a private organisation at 5% simple interest per annum. He lent 50% of this money to another person at 10% compound interest per annum and thereby made a profit of ₹3,205 in 4 years. The man borrowed

(A) ₹80,000
(B) ₹1,00,000
(C) ₹1,20,000
(D) ₹1,50,000

Answer: (B) ₹1,00,000

Explanation:
Let the borrowed sum be P. He pays simple interest of 5% a year for 4 years, which is 0.20P. He lends P/2 at 10% compound interest for 4 years. The compound interest earned is (P/2) × (1.1⁴ − 1) = (P/2) × 0.4641 = 0.23205P. His profit is 0.23205P − 0.20P = 0.03205P. Setting this equal to ₹3,205 gives P = ₹1,00,000.

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