Chapter 4 · Full Model Papers · 200 questions in the paper · 33 min read
Model Paper 3
What the syllabus asks for 1
- Zoology 40, Botany 40, Chemistry 50, Physics 50, Mental Agility Test 20, with an explained key
MODEL PAPER 3 — MECEE-BL (Group I). Time: 3 hours. Full marks: 200. Attempt all questions. Each question has four options with one best answer; choose the best and mark it on your answer grid. Each correct answer carries 1 mark and each wrong answer deducts 0.25 mark. Calculators are not allowed; do rough work in the margins. Sit this paper in one uninterrupted sitting, exactly as on the day.
How to score yourself: score = (number correct) − 0.25 × (number wrong). Do not leave blanks — in this marking scheme even a blind guess is worth +1/16 of a mark. Record your correct/wrong/blank counts per subject before you open the key.
This paper follows the official unit weightage exactly:
| Subject | Qs | Per-unit counts in this paper |
|---|---|---|
| Zoology | 40 | Evolution 3 · Diversity 4 · Tissues 4 · Selected animals 6 · Digestive 2 · Respiratory 2 · Circulatory 3 · Excretory 2 · Nervous 2 · Endocrine 2 · Reproductive 2 · Diseases/Immunity 4 · Medical technology 2 · Environment 2 |
| Botany | 40 | Components of life 2 · Virus/bacteria 2 · Fungi/lichens 2 · Algae/bryophytes 2 · Pteridophytes–angiosperms 3 · Ecology 4 · Cell biology 5 · Genetics fundamentals 2 · Genetic material 4 · Anatomy 3 · Water relations 2 · Photosynthesis/respiration 3 · Growth 1 · Developmental 2 · Applied 3 |
| Chemistry | 50 | Physical 17 · Inorganic 10 · Organic 17 · Applied 3 · Analytical 3 |
| Physics | 50 | Mechanics 10 · Heat 7 · Waves/Optics 8 · Current electricity/Magnetism 9 · Electrostatics 4 · Modern 12 |
| MAT | 20 | Verbal 5 · Numerical 5 · Logical 5 · Spatial/Abstract 5 |
Zoology (questions 1–40)
- The mutation theory of evolution was proposed byaHugo de VriesbWeismanncMendeldLamarck
- Analogous organs are illustrated by theaarm of man and wing of batbleg of dog and flipper of whalecheart of frog and mandwings of butterfly and bird
- Random genetic drift is most effective inavery large populationsbonly plant populationscpopulations with no variationdsmall populations
- A well-developed canal system for water circulation is present in the phylumaAnnelidabPoriferacMolluscadEchinodermata
- Flame cells (protonephridia) are the excretory organs ofaPlanariabAscariscearthwormdHydra
- The largest phylum of the animal kingdom, in number of species, isaMolluscabChordatacAnnelidadArthropoda
- Which of the following is a flightless bird?aPeacockbParrotcOstrichdVulture
- Areolar tissue is a type ofaepithelial tissuebmuscular tissuecloose connective tissuednervous tissue
- The Haversian system is characteristic ofacartilagebthe spinal cordcthe skindmammalian bone
- Thin squamous epithelium, suited for diffusion, lines theaalveoli of the lungsburetercstomachdtrachea
- The part of a neuron that normally receives nerve impulses is theadendritebaxoncmyelin sheathdSchwann cell
- The sexual cycle (sporogony) of Plasmodium is completed inside theahuman liverbhuman red blood cellscmosquitodhuman spleen
- Merozoites released from the liver of man next invade theawhite blood cellsbred blood cellscplateletsdplasma proteins
- The earthworm possesses hearts (contractile vessels) numberinga4 pairsb2 pairsc8 pairsd1 pair
- The excretory organs of the earthworm are theaMalpighian tubulesbflame cellscsegmental nephridiadgreen glands
- The third eyelid of the frog, protective under water, is theatympanumbcorneacnictitating membranediris
- The kidney of the adult frog is of the type calledapronephrosbmesonephroscmetanephrosdarchinephros
- Trypsin of pancreatic juice is secreted in the inactive form ofatrypsinogenbpepsinogencprorennindenterokinase
- A patient's bile duct is blocked by a gallstone. The digestive process most directly impaired by the lack of bile reaching the intestine is theaemulsification and absorption of fatsbdigestion of proteins in the stomachcsecretion of insulindformation of urine
- Most of the carbon dioxide in the blood is transported asacarbaminohaemoglobinbbicarbonate ionscdissolved CO₂dcarbonic acid
- The vital capacity of the lungs of a normal adult is abouta1200 mLb4600 mLc6000 mLd1500 mL
- The bundle of His and Purkinje fibres conduct the cardiac impulse from the AV node to theaSA nodebatriacbraindventricles
- A patient with an acute bacterial infection typically shows a raised count of the phagocytic leucocytes calledaneutrophilsblymphocytesceosinophilsdbasophils
- Lymph differs from blood mainly in lackingawaterbwhite blood cellscdissolved proteins entirelydred blood cells
- Desert mammals have very long loops of Henle, which help them toaproduce a large volume of dilute urinebconserve water by concentrating urinecfilter a larger volume of blood plasmadstore urine for longer in the bladder
- The hormone aldosterone increases the reabsorption, in the kidney tubules, ofaglucosebsodium ionscureadamino acids
- Coordination of muscular movement, posture and balance is the main function of theacerebellumbcerebrumcmedulladspinal cord
- The visual pigment present in the rod cells of the retina isaiodopsinbrhodopsincmelanindcarotene
- The hormone often called the emergency (fight-or-flight) hormone isainsulinbthyroxinecoxytocindadrenaline
- Oxytocin brings aboutarelease of the ovum (ovulation) from the ovarybproduction of sperms in the seminiferous tubulesccontraction of the uterus and milk ejectionda general increase in the growth of the body
- The acrosome at the tip of a sperm is derived from theamitochondriabcentriolecGolgi apparatusdnucleus
- In the human menstrual cycle, the surge of LH directly triggersamenstruationbimplantationcdegeneration of the corpus luteumdovulation
- Cholera is caused by the bacteriumaSalmonella typhibMycobacteriumcVibrio choleraedPlasmodium
- Interferons, released by virus-infected cells, areaantibodies secreted by plasma cellsbantibiotics obtained from certain fungicweakened viruses used as live vaccinesdantiviral proteins protecting neighbouring cells
- The antimalarial drug quinine is obtained from the bark ofapoppybneemcCinchonadRauwolfia
- Cancerous cells are characterised by the loss ofanucleibcell membranescpigmentsdcontact inhibition of growth
- An ECG (electrocardiogram) records the electrical activity of theabrainbheartceye musclesdstomach
- DNA fingerprinting identifies individuals by analysing theiraABO and Rh blood groups of the personbpattern of proteins in blood plasmacsequences of RNA found in the cellsdvariable repetitive DNA (VNTR) patterns
- Acid rain is caused mainly by the atmospheric pollutantsaCO and CO₂bSO₂ and oxides of nitrogencozoneddust particles
- In-situ conservation of a species means protecting itain a zoobin a seed bankcin its natural habitatdin a laboratory
Botany (questions 41–80)
- The disaccharide maltose is made up of two units ofaglucose + fructosebglucose + galactosecglucose + glucosedfructose + fructose
- An enzyme solution is boiled and then cooled back to body temperature, yet it no longer catalyses its reaction. The best explanation is that heating hasadestroyed the substrate moleculesbdestroyed the three-dimensional shape of the active sitecremoved all the water around the enzymedconverted the enzyme into a carbohydrate
- Viruses can multiply onlyain the airbinside living host cellscin dead organic matterdon artificial nutrient agar
- In bacteria, respiration (energy release) takes place at thearibosomesbcapsulecflagelladcell membrane (mesosomes)
- The cell wall of fungi is composed mainly ofachitinbcellulosecpeptidoglycandlignin
- The common edible mushroom Agaricus belongs to the classaAscomycetesbZygomycetescDeuteromycetesdBasidiomycetes
- The chloroplast of Spirogyra is characteristicallyacup-shapedbdiscoidcstar-shapedda spiral ribbon
- Marchantia, with a flat thalloid body, is a member of theamossesbliverwortschornwortsdalgae
- The prothallus of a fern is itsasporophytebgametophytecembryodspore
- The pollen grains of Pinus are provided withawings (air bladders)bflagellaca sticky coatdhooks
- A papilionaceous (butterfly-shaped) corolla is characteristic of the familyaFabaceaebLiliaceaecBrassicaceaedPoaceae
- The ecological niche of a species refers to itsaphysical shelterbfunctional role in the ecosystemcpopulation sizedtotal biomass
- A detritus food chain begins withagreen producersbherbivorescdead organic matterdcarnivores
- The phosphorus cycle differs from the carbon cycle in being mainly aagaseous cyclebatmospheric cyclecsedimentary cycledmarine cycle only
- Epiphytes grow upon other plants only forafoodbsupport and lightcwater from the hosts xylemdmineral salts
- The inner membrane of a mitochondrion is folded into theagranabthylakoidsccristaedstroma
- Sister chromatids separate and move to opposite poles duringametaphasebtelophasecanaphasedprophase
- The amount of DNA in a cell at the G₂ phase, compared with the G₁ phase, isadoublebthe samechalfdfour times
- Leucoplasts that store starch are calledachloroplastsbchromoplastscamyloplastsdelaioplasts
- The tonoplast is the membrane that surrounds theavacuolebnucleuscmitochondriondchloroplast
- Mendel's "law of purity of gametes" is the law ofasegregationbindependent assortmentcdominancedlinkage
- Crossing an F₁ hybrid with its recessive parent is called aareciprocal crossbself crosscdihybrid crossdtest cross
- Semiconservative replication of DNA was demonstrated experimentally byaMeselson and StahlbHershey and ChasecGriffithdAvery and coworkers
- In a nucleosome, DNA is wrapped around a core of proteins calledahistonesbpolymerasescribosomesdligases
- The process of translation (protein synthesis) takes place on theaGolgi bodiesblysosomescinner nuclear membranedribosomes
- The number of stop (termination) codons in the standard genetic code isaonebtwocfourdthree
- Companion cells are intimately associated with theavesselsbtracheidscsieve tube elementsdxylem fibres
- Annual rings in a woody stem are produced by the seasonal activity of theaapical meristembcortexcpithdvascular cambium
- Lenticels in the bark of a stem help inaphotosynthesisbconduction of watercgaseous exchangedmechanical support
- The diffusion pressure deficit (DPD) of a fully turgid cell isamaximumbequal to osmotic pressurecnegativedzero
- Plasmolysis of a plant cell occurs when it is placed in aahypertonic solutionbhypotonic solutioncisotonic solutionddistilled water
- The first stable compound formed in the Calvin cycle of C₃ plants isaoxaloacetatebphosphoenolpyruvatecglucosed3-phosphoglyceric acid
- The stage common to both aerobic and anaerobic respiration isathe Krebs cyclebglycolysiscthe electron transport chaindoxidative phosphorylation
- The respiratory quotient (RQ) for the complete oxidation of glucose isa0.7binfinityc1.0d1.33
- Cytokinins primarily promote, in plant tissues, the process ofacell elongationbseed dormancyccell divisiondleaf fall
- Syngamy (fusion of a male gamete with the egg) produces theaendospermbzygotecsynergiddantipodal cells
- A true fruit develops from theaovulebovarycstyledfilament
- The polymerase chain reaction (PCR) uses the heat-stable enzymeaDNA ligasebhelicasecrestriction enzymedTaq DNA polymerase
- Azadirachtin, a natural biopesticide, is obtained from the treeatobaccobneemctulsiddatura
- The somatic hybrid "pomato" (potato + tomato) was produced byaprotoplast fusionbgraftingcmutation breedingdcross-pollination
Chemistry (questions 81–130)
- The mass of 0.25 mol of sulphuric acid (molar mass 98 g/mol) isa98 gb49 gc24.5 gd12.25 g
- Avogadro's number, the number of particles in one mole, isa6.02 × 10²²b6.02 × 10²³c3.01 × 10²³d1.6 × 10⁻¹⁹
- According to Heisenberg's uncertainty principle, it is impossible to determine simultaneously the exact position and the exact ___ of an electron.achargebmasscspindmomentum
- The number of neutrons in a deuterium (²H) nucleus isaonebtwoczerodthree
- The elements of group 17 of the periodic table are collectively calledaalkali metalsbchalcogenschalogensdnoble gases
- An example of a typical ionic compound isaNaClbHCl gascCH₄dCO₂
- The hybridisation of the carbon atom in methane isaspbsp²csp³dsp³d
- A reducing agent brings about reduction by itself gettingareducedbneutralisedchydrolyseddoxidised
- A given volume of hydrogen gas effuses through a pinhole in 20 seconds. The same volume of oxygen (molar masses H₂ = 2, O₂ = 32) under identical conditions takes abouta5 sb80 sc40 sd20 s
- 4 g of NaOH is dissolved to make 500 mL of solution. Its molarity isa0.1 Mb0.2 Mc0.4 Md2.0 M
- An acidic buffer solution is a mixture ofaa strong acid and its saltba strong base and its saltca weak base aloneda weak acid and its salt with a strong base
- Calculate the approximate pH of a 0.1 M solution of acetic acid (Ka = 1.8 × 10⁻⁵) using [H⁺] ≈ √(Ka × c).a1.0b2.9c4.7d7.0
- In a titration with potassium permanganate solution, the indicator used isaphenolphthaleinbKMnO₄ itself (self-indicator)cstarch solutiondlitmus
- The rate of a certain reaction roughly doubles for every 10 °C rise in temperature. Raising the temperature from 20 °C to 50 °C increases the rate by a factor of abouta2b4c6d8
- How much copper is deposited at the cathode when 1 faraday of electricity is passed through copper sulphate solution (atomic mass of Cu = 63.5, Cu is divalent)?a31.8 gb63.5 gc15.9 gd127 g
- Given ΔH°f of CO₂ = −393 kJ/mol, of H₂O(l) = −286 kJ/mol and of CH₄ = −75 kJ/mol, the enthalpy of combustion of methane is abouta−890 kJ/molb−965 kJ/molc−604 kJ/mold+890 kJ/mol
- A piece of ancient wood shows a carbon-14 activity one quarter of that of living wood. If the half-life of carbon-14 is 5730 years, the age of the wood is abouta5730 yearsb2865 yearsc17,190 yearsd11,460 years
- "Dry ice" used for refrigeration is solidacarbon monoxidebcarbon dioxidecnitrous oxidedammonia
- Sulphur dioxide bleaches vegetable colours by the process ofaoxidationbdehydrationcneutralisationdreduction
- Concentrated nitric acid kept in light turns yellow because of dissolvedaNObN₂OcNO₂dNH₃
- The most reactive halogen isafluorinebchlorinecbrominediodine
- Copper pyrites (CuFeS₂) is the chief ore ofaironbzincccopperdlead
- The froth-flotation process is used for concentratingasulphide oresboxide oresccarbonate oresdnitrate ores
- Rust that forms on iron is chemicallyaFeObFe₃O₄cFe(OH)₂dhydrated ferric oxide, Fe₂O₃·xH₂O
- Zone refining is used to obtain ultra-pure samples ofaironbgermanium (for semiconductors)csodiumdcopper for wires
- The oxygen-carrying protein stored in muscles isahaemoglobinbchlorophyllcmyoglobindhaemocyanin
- Vitamin B₁₂ contains the metalaironbzincccobaltdcopper
- An electrophile in an organic reaction is a species that isaan electron-deficient species that seeks an electron pairba neutral molecule with a lone pair onlyca species that readily donates a protonda stable anion carrying extra electrons
- Keto–enol tautomerism is exhibited byabenzenebethanolcethyl acetoacetatedethane
- Phenol is more acidic than ethanol mainly because the phenoxide ion is stabilised byaits larger sizebhydrationcprecipitationdresonance
- A hydrocarbon has the molecular formula C₆H₁₀. Its index of hydrogen deficiency (double-bond equivalents) isa2b1c3d4
- Ozonolysis of ethene, followed by hydrolysis, yieldsaacetaldehydebcarbon dioxide onlycformic aciddformaldehyde
- Benzene reacts with chlorine in the presence of FeCl₃ to form mainlyahexachlorocyclohexanebchlorobenzenecbenzyl chlorideddichloromethane
- The iodoform (yellow precipitate) test is given byamethanolbethanolcpropan-1-oldphenol
- Williamson's synthesis is a standard method for preparingaethersbesterscamidesdaldehydes
- Phenol on distillation with zinc dust givesatoluenebbenzeneccyclohexanedaniline
- The alcohol that is dehydrated most easily by concentrated H₂SO₄ is aaprimary alcoholbmethanolcsecondary alcoholdtertiary alcohol
- Commercial formalin, used to preserve biological specimens, is an aqueous solution of about 40% ofaformaldehydebformic acidcacetaldehydedacetone
- The Rosenmund reduction converts an acyl (acid) chloride into the correspondingaalcoholbaldehydecalkanedcarboxylic acid
- Carboxylic acids react with sodium bicarbonate with brisk effervescence of the gasahydrogenboxygenccarbon dioxidedcarbon monoxide
- Sodium acetate heated with soda lime undergoes decarboxylation to giveamethanebethaneccarbon monoxidedmethanol
- In aqueous solution, the strongest base among the following isaethylaminebanilinecammoniadacetamide
- Hinsberg's reagent, used to distinguish primary, secondary and tertiary amines, isaacetyl chloridebcarbon disulphidecnitrous aciddbenzenesulphonyl chloride
- Picric acid, an explosive, is chemicallya2,4,6-trinitrophenolb1,3,5-trinitrobenzenectrinitrotoluenedo-nitrobenzoic acid
- Nylon belongs to the class of polymers calledapolyestersbpolyolefinscpolyamidesdacrylics
- Sodium benzoate is widely used in foodstuffs as aasweetenerbcolouring agentcpreservativedraising agent
- The major constituent (about 60–65%) of Portland cement isasilicabaluminacgypsumdlime (CaO)
- In the flame test, sodium salts impart to the flame the colouracrimsonbgreencgolden yellowdviolet
- The borax-bead test is used in qualitative analysis for detectingasodium ionsbcoloured metal ions such as Cu²⁺cchloride ionsdcarbonate ions
- Halogens present in an organic compound are estimated quantitatively by theaKjeldahl methodbCarius methodcDumas methoddLiebig method
Physics (questions 131–180)
- A projectile is fired at 40 m/s at an angle of 30° above the horizontal. Its horizontal range (g = 10 m/s²) is abouta80 mb160 mc69 md139 m
- One horse power is approximately equal toa100 Wb550 Wc746 Wd1000 W
- A constant force of 20 N acts for 0.5 s on a 2 kg body initially at rest (no friction). The speed it acquires isa10 m/sb2.5 m/sc20 m/sd5 m/s
- A man of mass 50 kg climbs to a height of 10 m in 5 s (g = 10 m/s²). His average power isa1000 Wb500 Wc2500 Wd100 W
- A spinning skater with moment of inertia 6 kg m² rotates at 2 rad/s. On pulling in her arms the moment of inertia falls to 3 kg m². Her new angular speed isa1 rad/sb2 rad/sc6 rad/sd4 rad/s
- The SI unit of the coefficient of viscosity is theapoisebnewtoncpascaldpascal-second (Pa·s)
- A particle executes SHM with a time period of 0.5 s. Its frequency isa0.5 Hzb1 Hzc2 Hzd4 Hz
- A car negotiates a flat circular curve of radius 40 m. If the coefficient of friction between tyres and road is 0.4 (g = 10 m/s²), the maximum safe speed is abouta8 m/sb13 m/sc16 m/sd20 m/s
- The speed with which a satellite orbits close to the Earth's surface is abouta11.2 km/sb7.9 km/sc3.0 km/sd1.0 km/s
- A steel wire of cross-sectional area 1 × 10⁻⁶ m² carries a load of 200 N. If the Young modulus of steel is 2 × 10¹¹ Pa, the strain produced isa0.01b0.1c0.001d1.0
- The triple point of water on the kelvin scale is fixed at exactlya273.15 Kb0 Kc273.16 Kd373 K
- A perfectly black body is one whichaabsorbs all the radiation falling on itbabsorbs only visible lightcreflects all radiationdemits no radiation
- A bimetallic strip bends on heating because the two metals have differentadensitiesbspecific heatscthermal conductivitiesdcoefficients of linear expansion
- The heat required to raise 100 g of water through 10 °C (specific heat of water = 1 cal g⁻¹ °C⁻¹) isa100 calb1000 calc10,000 cald500 cal
- 500 cm³ of a gas is collected at 300 K and 76 cm Hg pressure. Its volume at 600 K and 38 cm Hg will bea250 cm³b1000 cm³c2000 cm³d4000 cm³
- According to the second law of thermodynamics, the efficiency of a heat engine can never bea50%b25%c100%d90%
- A Carnot engine operates between a source at 127 °C and a sink at 27 °C. Its efficiency isa79%b50%c75%d25%
- Sound waves of frequency above the audible range (ultrasonics) have frequencies greater thana20 Hzb2000 Hzc10,000 Hzd20,000 Hz
- To hear a distinct echo (persistence of hearing 0.1 s, speed of sound 340 m/s), the reflecting surface must be at least abouta10 m awayb5 m awayc17 m awayd34 m away
- An open organ pipe is 0.85 m long. The frequency of its fundamental note (velocity of sound = 340 m/s) isa100 Hzb400 Hzc200 Hzd170 Hz
- Short-sightedness (myopia) of the eye is corrected by using spectacle lenses that areaconvexbconcaveccylindricaldbifocal
- An object is placed 30 cm in front of a convex lens of focal length 10 cm. The image is formed at a distance ofa7.5 cmb20 cmc30 cmd15 cm
- The primary rainbow is produced by dispersion of sunlight combined withainternal reflection inside raindropsbdiffraction at cloud edgescscattering by dust onlydpolarisation in the atmosphere
- In Young's double-slit experiment (λ = 500 nm, slits 0.5 mm apart, screen 2 m away), the fringe width isa0.5 mmb1 mmc2 mmd4 mm
- Diffraction effects of a wave are most pronounced when the size of the obstacle or aperture isacomparable with the wavelengthbvery much larger than the wavelengthcinfinitedexactly zero
- In a balanced Wheatstone bridge, no current flows through the galvanometer when the ratio of resistances satisfiesaP + Q = R + SbPQ = RScP = Q = R = SdP/Q = R/S
- An electric heater is marked 60 W at 220 V. The resistance of its heating element is abouta403 Ωb807 Ωc1613 Ωd3.7 Ω
- A potentiometer measures the e.m.f. of a cell more accurately than a voltmeter because at the balance point itahas very low resistancebdraws no current from the cellcuses a longer wireddraws a large current
- A rectangular coil of 100 turns, area 0.01 m², carrying 2 A, has its plane parallel to a magnetic field of 0.5 T. The torque acting on it isa0.1 N mb0.5 N mc1 N md2 N m
- A tangent galvanometer works on the basis of the tangent law, B = B_H tan θ, where B_H is theafield of the coilbtotal fieldcvertical component of Earth's fielddhorizontal component of Earth's field
- The magnetic susceptibility of a diamagnetic substance isalarge and positivebsmall and negativecexactly zerodinfinitely large
- The energy stored in an inductor of inductance 0.5 H when a current of 2 A flows through it isa1 Jb2 Jc0.5 Jd4 J
- The average value of a sinusoidal alternating current over one complete cycle isaequal to its peak valuebzerocequal to its r.m.s. valuedhalf its peak value
- Eddy currents in the core of a transformer are minimised by making the coreaof solid ironbof thick copperchollowdlaminated
- Two parallel plates 2 cm apart are maintained at a potential difference of 100 V. The force on a charge of 2 μC placed between them isa0.01 Nb0.1 Nc1 Nd0.001 N
- If the plate area of a parallel-plate capacitor is doubled (separation unchanged), its capacitance becomesadoublebhalfcfour timesdunchanged
- One farad, the unit of capacitance, is equal to oneavolt per coulombbcoulomb per voltcjoule per coulombdampere per second
- The work done in moving a charge along an equipotential surface isaalways positivebzerocalways negativedinfinite
- Light of wavelength 400 nm falls on a metal of work function 2.0 eV (take hc = 1240 eV·nm). The maximum kinetic energy of the emitted photoelectrons isa1.1 eVb3.1 eVc5.1 eVdzero (no emission)
- The threshold (cut-off) frequency for photoelectric emission depends on theaintensity of the lightbtime of exposurecnature (work function) of the metaldarea of the metal surface
- The de Broglie wavelength associated with a moving particle is inversely proportional to itsachargebmomentumcfrequency of revolutiondtemperature
- The cut-off (minimum) wavelength of X-rays from a tube varies with the accelerating voltage V asaλ ∝ 1/Vbλ ∝ Vcλ ∝ V²dλ independent of V
- In the Bohr model, the angular momentum of the electron in the n-th permitted orbit isanhbnh/2πch/2πndany arbitrary value
- The mass defect in the formation of a nucleus is 0.05 u (1 u ≡ 931 MeV). The binding energy of the nucleus is abouta46.5 MeVb4.65 MeVc465 MeVd931 MeV
- An alpha particle is the nucleus of the elementaheliumbhydrogenclithiumdboron
- The energy of the Sun is produced mainly byafission of heavy nucleibfusion of hydrogen nucleicchemical burning of gasesdradioactive decay of uranium
- In a transistor, the most heavily doped region is theaemitterbbaseccollectorddepletion layer
- The binary (base-2) representation of the decimal number 13 isa1011b1110c1101d1001
- The cosmic microwave background radiation is strong evidence in support of theasteady-state theorybtheory of black holes onlycnebular hypothesisdBig Bang theory
- The strongest of the four fundamental forces of nature is theastrong nuclear forcebelectromagnetic forcecweak nuclear forcedgravitational force
Mental Agility Test (questions 181–200)
- Choose the word nearest in meaning to SCARCE.aPlentifulbRarecCostlydHidden
- Choose the word most opposite in meaning to VICTORY.aSuccessbTriumphcConquestdDefeat
- Eye : See :: Ear : ?aHearbNoisecDrumdFace
- Find the odd one out.aTrianglebSquarecCircledRectangle
- A person who speaks many languages is called aamonolingualbpolyglotcoratordbilingual person
- Find the next number in the series: 5, 10, 20, 40, ?a50b60c70d80
- One-quarter of one-half of 200 isa25b50c100d12.5
- Which number is divisible by both 3 and 4?a18b20c27d36
- A watch bought for Rs 800 is sold for Rs 920. The profit percentage isa15%b12%c20%d10%
- If 3 pens cost Rs 45, the cost of 7 pens of the same kind isaRs 90bRs 105cRs 120dRs 315
- Statements: No A is B. Some C are A. Which conclusion follows?aAll C are BbAll C are not BcSome C are not BdNo C is A
- Find the next letter in the series: A, C, E, G, ?aHbIcJdK
- Hari's brother is the father of Sita. How is Hari related to Sita?aFatherbUnclecGrandfatherdCousin
- In a class of 30 students, Ram is 7th from the top. His rank from the bottom isa23rdb25thc22ndd24th
- Statement: All mangoes are sweet. This fruit is not sweet. It follows thatathis fruit may still be a mangoball fruits are sweetcnothing followsdthis fruit is not a mango
- A square is drawn with both of its diagonals. How many triangles are formed in the figure in total?a4b6c8d10
- A clock shows 9:00. In its mirror image, the time appears to bea9:00b6:00c3:00d12:00
- You are facing south-east. You turn around through 180°. Which direction do you now face?aNorth-westbSouth-westcNorth-eastdEast
- A cube has 6 faces and 12 edges. The number of its vertices (corners) isa6b12c8d4
- Which digit looks the same when the page is turned upside down (rotated 180°)?a8b6c9d5
Answer key and explanations
Answers — Zoology (1–40)
1. (a) — de Vries proposed that new species arise by sudden mutations.
2. (d) — Insect and bird wings do the same job from different origins: convergence.
3. (d) — Chance changes in gene frequencies matter most in small populations.
4. (b) — Sponges pump water through a canal system for filter feeding.
5. (a) — Flatworms such as Planaria excrete through flame cells.
6. (d) — Arthropoda is by far the most species-rich phylum.
7. (c) — The ostrich is a flightless running bird.
8. (c) — Areolar tissue is the general loose packing connective tissue.
9. (d) — Haversian canals organise compact mammalian bone.
10. (a) — One thin cell layer lets gases diffuse quickly across alveoli.
11. (a) — Dendrites receive impulses and pass them to the cell body.
12. (c) — Fertilisation and sporogony of Plasmodium occur in the mosquito.
13. (b) — Liver merozoites invade red cells, starting the erythrocytic cycle.
14. (a) — Four pairs of lateral hearts pump blood in segments 7, 9, 12 and 13.
15. (c) — Metanephridia open segmentally to the exterior.
16. (c) — The transparent nictitating membrane covers the eye under water.
17. (b) — Adult amphibians have mesonephric (opisthonephric) kidneys.
18. (a) — Enterokinase later activates trypsinogen to trypsin in the duodenum.
19. (a) — Without bile salts, fats are neither emulsified for lipase nor absorbed well (fatty stools, fat-soluble vitamin deficiency).
20. (b) — About 70% of CO₂ travels as bicarbonate in the plasma.
21. (b) — Vital capacity = TV + IRV + ERV ≈ 4600 mL.
22. (d) — The His–Purkinje system spreads excitation through the ventricles.
23. (a) — Neutrophils are the first-responder phagocytes; their count rises sharply in bacterial infection.
24. (d) — Lymph is plasma-like but without red blood cells.
25. (b) — A long loop builds a steep medullary gradient for very concentrated urine.
26. (b) — Aldosterone promotes Na⁺ (and hence water) reabsorption.
27. (a) — The cerebellum fine-tunes movement and maintains balance.
28. (b) — Rhodopsin in rods serves dim-light vision.
29. (d) — Adrenaline prepares the body for emergency action.
30. (c) — Oxytocin contracts uterine muscle in labour and ejects milk.
31. (c) — The acrosome is a Golgi-derived cap of enzymes.
32. (d) — The mid-cycle LH surge ruptures the mature follicle.
33. (c) — Vibrio cholerae toxin causes the massive watery diarrhoea of cholera.
34. (d) — Interferons warn nearby cells to resist viral multiplication.
35. (c) — Quinine comes from Cinchona bark.
36. (d) — Normal cells stop dividing on contact; cancer cells ignore this control.
37. (b) — The ECG traces the heart's electrical cycle.
38. (d) — Variable tandem repeats differ between individuals, giving a DNA profile.
39. (b) — SO₂ and NOₓ form sulphuric and nitric acids in rain.
40. (c) — In-situ = on site, in the wild habitat; zoos/banks are ex-situ.
Answers — Botany (41–80)
41. (c) — Maltose = glucose + glucose.
42. (b) — Heat denatures the protein: the active site loses its shape, so it no longer binds the substrate even after cooling.
43. (b) — Viruses are obligate intracellular parasites and need living cells.
44. (d) — Lacking mitochondria, bacteria respire across the cell membrane.
45. (a) — Fungal walls are built of chitin.
46. (d) — Agaricus bears basidiospores on gills: a basidiomycete.
47. (d) — The ribbon-like chloroplast spirals through the Spirogyra cell.
48. (b) — Marchantia is a thalloid liverwort.
49. (b) — The heart-shaped prothallus is the fern's gametophyte.
50. (a) — Bladder "wings" help pine pollen float on wind and on the pollination drop.
51. (a) — Pea-family (Fabaceae) flowers have the standard–wings–keel arrangement.
52. (b) — The niche is what the species does, not merely where it lives.
53. (c) — Detritus chains run from dead matter through decomposers and detritivores.
54. (c) — Phosphorus cycles through rocks and sediments, with no large gas phase.
55. (b) — Epiphytes only perch for light; they photosynthesise and take no food from the host.
56. (c) — Cristae carry the respiratory chain of the mitochondrion.
57. (c) — Centromeres split at anaphase and chromatids move poleward.
58. (a) — After the S phase the DNA content is doubled (2C → 4C).
59. (c) — Amyloplasts are starch-storing leucoplasts.
60. (a) — The tonoplast bounds the cell-sap vacuole.
61. (a) — Alleles separate cleanly into gametes: segregation.
62. (d) — Crossing with the homozygous recessive is a test cross.
63. (a) — Meselson and Stahl's density-gradient experiment (1958).
64. (a) — About 147 bp of DNA wrap a histone octamer in each nucleosome.
65. (d) — Ribosomes read mRNA and build the polypeptide.
66. (d) — UAA, UAG and UGA terminate translation.
67. (c) — Companion cells load and sustain the enucleate sieve elements.
68. (d) — Spring and autumn wood from the cambium make the rings.
69. (c) — Lenticels are pores for gas exchange through bark.
70. (d) — At full turgor TP = OP, so DPD = OP − TP = 0.
71. (a) — In a hypertonic medium water leaves the cell and the protoplast shrinks.
72. (d) — Rubisco first yields two molecules of 3-PGA from RuBP + CO₂.
73. (b) — Glycolysis runs in the cytoplasm with or without oxygen.
74. (c) — For glucose CO₂ released = O₂ taken up, so RQ = 1.
75. (c) — Cytokinins are cell-division (cytokinesis) promoters.
76. (b) — Syngamy gives the diploid zygote; triple fusion gives the endosperm.
77. (b) — A true fruit is the ripened ovary (pericarp from its wall).
78. (d) — Taq polymerase from Thermus aquaticus survives the 94 °C step.
79. (b) — Neem seeds yield the insect growth disruptor azadirachtin.
80. (a) — Fusing wall-less protoplasts of the two species made the pomato hybrid cells.
Answers — Chemistry (81–130)
81. (c) — 0.25 × 98 = 24.5 g.
82. (b) — 6.02 × 10²³ particles per mole.
83. (d) — Position and momentum cannot both be known exactly at once.
84. (a) — Deuterium = 1 proton + 1 neutron.
85. (c) — F, Cl, Br, I are the halogens ("salt-formers").
86. (a) — NaCl is an ionic lattice; the others are covalent molecules.
87. (c) — Four equivalent sp³ bonds in tetrahedral methane.
88. (d) — A reducing agent donates electrons and is itself oxidised.
89. (b) — Effusion time ∝ √M: t(O₂) = 20 × √(32/2) = 20 × 4 = 80 s.
90. (b) — (4/40) mol in 0.5 L = 0.2 M.
91. (d) — Weak acid + its conjugate salt resists pH change.
92. (b) — [H⁺] = √(1.8 × 10⁻⁵ × 0.1) ≈ 1.34 × 10⁻³, so pH ≈ 2.87 ≈ 2.9.
93. (b) — The first permanent pink tinge of excess KMnO₄ marks the end point.
94. (d) — Three 10 °C steps: rate × 2³ = 8 (temperature-coefficient rule of thumb).
95. (a) — One faraday deposits one gram-equivalent = 63.5/2 ≈ 31.8 g of Cu.
96. (a) — ΔH = [−393 + 2(−286)] − [−75] = −965 + 75 = −890 kJ/mol.
97. (d) — One quarter = (½)², i.e. two half-lives: 2 × 5730 = 11,460 years.
98. (b) — Dry ice is frozen CO₂, subliming at −78 °C.
99. (d) — SO₂ + H₂O gives nascent hydrogen effects: reductive, temporary bleaching.
100. (c) — 4HNO₃ → 4NO₂ + O₂ + 2H₂O in light; the NO₂ colours it yellow.
101. (a) — Fluorine is the most reactive and electronegative halogen.
102. (c) — CuFeS₂ (chalcopyrite) is copper's main ore.
103. (a) — Sulphide particles are preferentially wetted by oil in froth flotation.
104. (d) — Rust is hydrated iron(III) oxide.
105. (b) — A moving molten zone sweeps impurities out of semiconductor germanium/silicon.
106. (c) — Myoglobin stores oxygen within muscle fibres.
107. (c) — A cobalt atom lies at the heart of the B₁₂ (cobalamin) molecule.
108. (a) — Electrophiles accept an electron pair (e.g. NO₂⁺, carbocations).
109. (c) — Ethyl acetoacetate exists as keto ⇌ enol tautomers.
110. (d) — The phenoxide charge is delocalised into the ring, stabilising it.
111. (a) — DBE = (2C + 2 − H)/2 = (12 + 2 − 10)/2 = 2 (e.g. one ring plus one double bond, or a triple bond).
112. (d) — CH₂=CH₂ cleaves to two molecules of formaldehyde.
113. (b) — FeCl₃ catalyses electrophilic substitution → chlorobenzene.
114. (b) — Ethanol is oxidised to a CH₃CO– unit and gives yellow CHI₃.
115. (a) — Alkoxide + alkyl halide → ether (Williamson).
116. (b) — Zn reduces phenol to benzene on distillation.
117. (d) — Ease of dehydration follows carbocation stability: 3° fastest.
118. (a) — Formalin is ~40% formaldehyde in water.
119. (b) — H₂/Pd–BaSO₄ reduces RCOCl only as far as the aldehyde.
120. (c) — RCOOH + NaHCO₃ → RCOONa + H₂O + CO₂↑.
121. (a) — CH₃COONa + NaOH (soda lime) → CH₄ + Na₂CO₃.
122. (a) — Alkylamines outrank ammonia; both far outrank aniline and amides.
123. (d) — Benzenesulphonyl chloride reacts differently with 1°, 2° and 3° amines.
124. (a) — Picric acid is 2,4,6-trinitrophenol.
125. (c) — Nylons are polyamides (amide linkages along the chain).
126. (c) — Sodium benzoate inhibits microbial spoilage of food.
127. (d) — Lime (CaO) is the largest component of Portland cement.
128. (c) — Sodium gives an intense golden-yellow flame.
129. (b) — Transition-metal ions colour the borax bead characteristically.
130. (b) — In the Carius tube, halogen is precipitated and weighed as AgX.
Answers — Physics (131–180)
131. (d) — R = u² sin 2θ/g = 1600 × sin 60°/10 ≈ 139 m.
132. (c) — 1 hp ≈ 746 W.
133. (d) — Impulse = Ft = 10 N·s = mΔv, so Δv = 10/2 = 5 m/s.
134. (a) — P = mgh/t = 50 × 10 × 10/5 = 1000 W.
135. (d) — Angular momentum is conserved: I₁ω₁ = I₂ω₂, so ω₂ = (6 × 2)/3 = 4 rad/s.
136. (d) — Viscosity's SI unit is the pascal-second.
137. (c) — f = 1/T = 1/0.5 = 2 Hz.
138. (b) — Friction supplies the centripetal force: v = √(μgr) = √(0.4 × 10 × 40) = √160 ≈ 13 m/s.
139. (b) — A near-Earth satellite needs about 7.9 km/s (first cosmic velocity).
140. (c) — Stress = 200/10⁻⁶ = 2 × 10⁸ Pa; strain = stress/Y = 2 × 10⁸/2 × 10¹¹ = 0.001.
141. (c) — The kelvin is defined from the triple point at 273.16 K.
142. (a) — A black body absorbs everything and is the best possible emitter.
143. (d) — Unequal linear expansions curve the strip.
144. (b) — Q = 100 × 1 × 10 = 1000 cal.
145. (c) — V₂ = V₁(T₂/T₁)(P₁/P₂) = 500 × 2 × 2 = 2000 cm³.
146. (c) — No engine converts all heat into work (100% efficiency is impossible).
147. (d) — η = 1 − T₂/T₁ = 1 − 300/400 = 25% (temperatures in kelvin).
148. (d) — Beyond the ~20 kHz limit of hearing lies ultrasound.
149. (c) — Distance = 340 × 0.1/2 = 17 m for a just-distinct echo.
150. (c) — For an open pipe f = v/2L = 340/(2 × 0.85) = 200 Hz.
151. (b) — A diverging (concave) lens corrects myopia.
152. (d) — 1/v = 1/f − 1/u = 1/10 − 1/30 = 1/15, so v = 15 cm (real, inverted).
153. (a) — Refraction disperses the light, which reflects once inside each drop.
154. (c) — β = λD/d = 500 × 10⁻⁹ × 2/(0.5 × 10⁻³) = 2 × 10⁻³ m = 2 mm.
155. (a) — Diffraction is marked when aperture ≈ wavelength.
156. (d) — Balance when P/Q = R/S.
157. (b) — R = V²/P = 220²/60 ≈ 807 Ω.
158. (b) — At null point the cell supplies no current, so true e.m.f. is read.
159. (c) — τ = NIAB (maximum, plane parallel to B) = 100 × 2 × 0.01 × 0.5 = 1 N m.
160. (d) — The needle balances the coil field against Earth's horizontal component.
161. (b) — Diamagnets have small negative susceptibility (weakly repelled).
162. (a) — U = ½LI² = ½ × 0.5 × 4 = 1 J.
163. (b) — Positive and negative halves cancel over a full cycle.
164. (d) — Laminations break up eddy-current paths in the core.
165. (a) — E = V/d = 100/0.02 = 5000 V/m; F = qE = 2 × 10⁻⁶ × 5000 = 0.01 N.
166. (a) — C ∝ A, so capacitance doubles.
167. (b) — 1 F = 1 C/V.
168. (b) — Potential is constant on an equipotential, so no work is done.
169. (a) — Photon energy = 1240/400 = 3.1 eV; K(max) = 3.1 − 2.0 = 1.1 eV.
170. (c) — f₀ = φ/h is fixed by the metal's work function.
171. (b) — λ = h/p: inversely proportional to momentum.
172. (a) — λ(min) = hc/eV (Duane–Hunt law).
173. (b) — Bohr quantised angular momentum as mvr = nh/2π.
174. (a) — BE = Δm × 931 = 0.05 × 931 ≈ 46.5 MeV.
175. (a) — α = ⁴He nucleus (2p + 2n).
176. (b) — Proton–proton fusion powers the Sun.
177. (a) — The emitter is heavily doped to inject many carriers.
178. (c) — 13 = 8 + 4 + 1 = 1101₂.
179. (d) — The 2.7 K background is the cooled remnant of the hot Big Bang.
180. (a) — The strong force binds nuclei and is the most powerful interaction.
Answers — Mental Agility Test (181–200)
181. (b) — Scarce means rare, in short supply.
182. (d) — Defeat is the opposite of victory.
183. (a) — As the eye is for seeing, the ear is for hearing.
184. (c) — The circle has no straight sides or corners.
185. (b) — A polyglot speaks several languages.
186. (d) — Each term doubles: 40 × 2 = 80.
187. (a) — ¼ × ½ × 200 = 25.
188. (d) — 36 = 3 × 12 = 4 × 9.
189. (a) — Profit 120 on 800 is 15%.
190. (b) — One pen costs 15, so 7 cost 105.
191. (c) — Those C that are A cannot be B, so some C are not B.
192. (b) — Odd-position letters: A, C, E, G, I.
193. (b) — The brother of one's father is an uncle.
194. (d) — 30 − 7 + 1 = 24th from the bottom.
195. (d) — A mango would have to be sweet (contrapositive logic).
196. (c) — 4 small corner triangles + 4 half-square triangles = 8.
197. (c) — Mirror time = 12:00 − 9:00 = 3:00.
198. (a) — Opposite of south-east is north-west.
199. (c) — A cube has 8 corners (Euler: 6 − 12 + 8 = 2).
200. (a) — 8 rotated 180° remains 8 (6 and 9 swap into each other).