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Friday, 9 October

JEE Main 2022 · July session

JEE Main 25 July 2022, Shift 1

88 questions (2 more dropped by NTA): 29 numerical-answer and 59 multiple choice. 13 were rated hard and 25 easy. By hard questions it ranks 3rd of the 4 2022 shifts Lumi analysed. The biggest chapter was Conic Sections, with 3 questions.

Questions
88
2 dropped by NTA
Numerical answer
29
33% of the shift
Hard
13
15% of the shift
Chapters asked
71
13 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
30 Q · 10 numerical
Easy 12Medium 17Hard 1

Top chapters

Chemistry
30 Q · 10 numerical
Easy 11Medium 17Hard 2

Top chapters

Maths
28 Q · 9 numerical
Easy 2Medium 16Hard 10

Top chapters

Question format
  • Single correct45 Q
  • Numerical value29 Q
  • Diagram based9 Q
  • Two statements2 Q
  • Other2 Q
  • Match the list1 Q
What each question asks you to do
  • Multi-step33 Q
  • Calculation28 Q
  • Application11 Q
  • Recall11 Q
  • Conceptual3 Q
  • Data or graph1 Q
  • Diagram reading1 Q

Most common: Multi-step.

Every question

All 90 questions, with answers

Open a question for the full text, options, the official answer and the same idea in other shifts.

Physics Q31–60

  1. Q31If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :MediumUnits and Measurements
  2. Q32Which of the following physical quantities have the same dimensions ?MediumUnits and Measurements
  3. Q33A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 6060 m, then the magnitude of displacement…MediumMotion in a Plane
  4. Q34A body of mass 0.50.5 kg travels on straight line path with velocity v=(3x2+4)v=(3x^2+4) m/s. The net workdone by the force during its displacement from…EasyWork, Energy and Power
  5. Q35A solid cylinder and a solid sphere, having same mass MM and radius RR, roll down the same inclined plane from top without slipping. They start…MediumSystem of Particles and Rotational Motion
  6. Q36Three identical particles A, B and C of mass 100100 kg each are placed in a straight line with AB=BC=13AB=BC=13 m. The gravitational force on a fourth…MediumGravitation
  7. Q37A certain amount of gas of volume VV at 27∘27^\circC temperature and pressure 2×107 Nm−22\times10^{7}\ \mathrm{Nm^{-2}} expands isothermally until its…MediumThermodynamics
  8. Q38Following statements are given : (A) The average kinetic energy of a gas molecule decreases when the temperature is reduced. (B) The average kinetic…EasyKinetic Theory
  9. Q39In figure (A), mass '2 m' is fixed on mass 'm' which is attached to two springs of spring constant k. In figure (B), mass 'm' is attached to two…MediumOscillations
  10. Q40A condenser of 2 μ2\ \muF capacitance is charged steadily from 00 to 55 C. Which of the following graph represents correctly the variation of…EasyElectrostatic Potential and Capacitance
  11. Q41Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If…MediumMoving Charges and Magnetism
  12. Q42To increase the resonant frequency in series LCR circuit,EasyAlternating Current
  13. Q43A small square loop of wire of side ll is placed inside a large square loop of wire LL (L≫lL\gg l). Both loops are coplanar and their centres…HardElectromagnetic Induction
  14. Q44The rms value of conduction current in a parallel plate capacitor is 6.9 μ6.9\ \muA. The capacity of this capacitor, if it is connected to 230230 V ac…MediumAlternating Current
  15. Q45Which of the following statement is correct ?MediumRay Optics and Optical Instruments
  16. Q46Time taken by light to travel in two different materials A and B of refractive indices μA\mu_A and μB\mu_B of same thickness is t1t_1 and t2t_2…MediumRay Optics and Optical Instruments
  17. Q47A metal exposed to light of wavelength 800800 nm and and emits photoelectrons with a certain kinetic energy. The maximum kinetic energy of…MediumDual Nature of Radiation and Matter
  18. Q48The momentum of an electron revolving in nthn^{\mathrm{th}} orbit is given by : (Symbols have their usual meanings)EasyAtoms
  19. Q49The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by :EasyMagnetism and Matter
  20. Q50In the circuit, the logical value of A=1A=1 or B=1B=1 when potential at A or B is 55 V and the logical value of A=0A=0 or B=0B=0 when potential at A or…MediumSemiconductor Electronics: Materials, Devices and Simple Circuits
  21. Q51A car is moving with speed of 150150 km/h and after applying the break it will move 2727 m before it stops. If the same car is moving with a speed of…EasyMotion in a Straight LineNumerical
  22. Q52Four forces are acting at a point P in equilibrium as shown in figure. The ratio of force F1F_1 to F2F_2 is 1:x1:x where x=x= ______.EasyLaws of MotionNumerical
  23. Q53A wire of length LL and radius rr is clamped rigidly at one end. When the other end of the wire is pulled by a force FF, its length increases by…MediumMechanical Properties of SolidsNumerical
  24. Q54A unit scale is to be prepared whose length does not change with temperature and remains 2020 cm, using a bimetallic strip made of brass and iron…EasyThermal Properties of MatterNumerical
  25. Q55An observer is riding on a bicycle and moving towards a hill at 18 km h−118\ \mathrm{km\,h^{-1}}. He hears a sound from a source at some distance behind…MediumWavesNumerical
  26. Q56The volume charge density of a sphere of radius 66 m is 2 μC cm−32\ \mu\mathrm{C\,cm^{-3}}. The number of lines of force per unit surface area coming out…MediumElectric Charges and FieldsNumerical
  27. Q57In the given figure, the value of VoV_o will be ______ V.EasyCurrent ElectricityNumerical
  28. Q58Eight copper wire of length ll and diameter dd are joined in parallel to form a single composite conductor of resistance RR. If a single copper…EasyCurrent ElectricityNumerical
  29. Q59The energy band gap of semiconducting material to produce violet (wavelength =4000=4000 Å) LED is ______ eV. (Round off to the nearest integer).EasySemiconductor Electronics: Materials, Devices and Simple CircuitsNumerical
  30. Q60The required height of a TV tower which can cover the population of 6.036.03 lakh is hh. If the average population density is 100100 per square km and…MediumCommunication SystemsNumerical

Chemistry Q61–90

  1. Q61SO2Cl2\mathrm{SO_2Cl_2} on reaction with excess of water results into acidic mixture SO2Cl2+2H2O→H2SO4+2HCl\mathrm{SO_2Cl_2+2H_2O\rightarrow H_2SO_4+2HCl} 1616 moles of…EasySome Basic Concepts of Chemistry
  2. Q62Which of the following sets of quantum numbers is not allowed ?EasyStructure of Atom
  3. Q63The depression in freezing point observed for a formic acid solution of concentration 0.5 mL L−10.5\ \mathrm{mL\,L^{-1}} is 0.0405∘0.0405^\circC. Density of…MediumSolutions
  4. Q642020 mL of 0.10.1 M NH4OH\mathrm{NH_4OH} is mixed with 4040 mL of 0.050.05 M HCl. The pH of the mixture is nearest to : (Given :…MediumEquilibrium
  5. Q65Match List - I with List - II List - I (A) N2(g)+3H2(g)→2NH3(g)\mathrm{N_2(g)+3H_2(g)\rightarrow2NH_3(g)} (B) CO(g)+3H2(g)→CH4(g)+H2O(g)\mathrm{CO(g)+3H_2(g)\rightarrow CH_4(g)+H_2O(g)} (C)…MediumSurface Chemistry
  6. Q66The IUPAC nomenclature of an element with electronic configuration [Rn] 5f146d17s2[\mathrm{Rn}]\,5f^{14}6d^{1}7s^{2} is :MediumClassification of Elements and Periodicity in Properties
  7. Q67The compound(s) that is(are) removed as slag during the extraction of copper is : (A) CaO\mathrm{CaO} (B) FeO\mathrm{FeO} (C) Al2O3\mathrm{Al_2O_3} (D)…MediumGeneral Principles and Processes of Isolation of Elements
  8. Q68The reaction of H2O2\mathrm{H_2O_2} with potassium permanganate in acidic medium leads to the formation of mainly :EasyThe d- and f-Block Elements
  9. Q69Choose the correct order of density of the alkali metals :EasyThe s-Block Elements
  10. Q70The geometry around boron in the product 'B' formed from the following reaction is BF3+NaH→450 KA+NaF\mathrm{BF_3+NaH\xrightarrow{450\ K}A+NaF}…MediumThe p-Block Elements
  11. Q71The interhalogen compound formed from the reaction of bromine with excess of fluorine is a :MediumThe p-Block Elements
  12. Q72The photochemical smog does not generally contain :EasyEnvironmental Chemistry
  13. Q73A compound 'A' on reaction with 'X' and 'Y' produces the same major product but different by product 'a' and 'b'. Oxidation of 'a' gives a substance…MediumHydrocarbons
  14. Q74Most stable product of the following reaction is : (i) p-toluenesulfonyl chloride (H3C−C6H4−SO2Cl\mathrm{H_3C{-}C_6H_4{-}SO_2Cl}), Pyridine (ii) NaCN, DMFMediumHaloalkanes and Haloarenes
  15. Q75Which one of the following reactions does not represent correct combination of substrate and product under the given conditions ?MediumAldehydes, Ketones and Carboxylic Acids
  16. Q76An organic compound 'A' on reaction with NH3\mathrm{NH_3} followed by heating gives compound B. Which on further strong heating gives compound C…MediumAmines
  17. Q77Melamine polymer is formed by the condensation of :EasyPolymers
  18. Q78During the denaturation of proteins, which of these structures will remain intact ?EasyBiomolecules
  19. Q79Drugs used to bind to receptors, inhibiting its natural function and blocking a message are called :EasyChemistry in Everyday Life
  20. Q80Given below are two statements : Statement I : On heating with KHSO4\mathrm{KHSO_4}, glycerol is dehydrated and acrolein is formed. Statement II :…MediumAlcohols, Phenols and Ethers
  21. Q81Among the following species N2, N2+, N2−, N22−, O2, O2+, O2−, O22−\mathrm{N_2,\ N_2^{+},\ N_2^{-},\ N_2^{2-},\ O_2,\ O_2^{+},\ O_2^{-},\ O_2^{2-}} the number of species showing…MediumChemical Bonding and Molecular StructureNumerical
  22. Q82The enthalpy of combustion of propane, graphite and dihydrogen at 298 K are −2220.0 kJ mol−1-2220.0\ \mathrm{kJ\,mol^{-1}}, −393.5 kJ mol−1-393.5\ \mathrm{kJ\,mol^{-1}} and…EasyThermodynamics (Chemistry)Numerical
  23. Q83The pressure of a moist gas at 27∘27^\circC is 44 atm. The volume of the container is doubled at the same temperature. The new pressure of the moist…MediumStates of MatterNumerical
  24. Q84The cell potential for Zn∣Zn2+(aq)∥Snx+∣ Sn\mathrm{Zn|Zn^{2+}(aq)\|Sn^{x+}|\,Sn} is 0.8010.801 V at 298 K. The reaction quotient for the above reaction is 10−210^{-2}. The…MediumElectrochemistryNumerical
  25. Q85The half life for the decomposition of gaseous compound A is 240240 s when the gaseous pressure was 500500 Torr initially. When the pressure was 250250…EasyChemical KineticsNumerical
  26. Q86Consider the following metal complexes : [Co(NH3)6]3+[\mathrm{Co(NH_3)_6}]^{3+} [CoCl(NH3)5]2+[\mathrm{CoCl(NH_3)_5}]^{2+} [Co(CN)6]3−[\mathrm{Co(CN)_6}]^{3-}…MediumCoordination CompoundsNumerical
  27. Q87Among Co3+, Ti2+, V2+\mathrm{Co^{3+},\ Ti^{2+},\ V^{2+}} and Cr2+\mathrm{Cr^{2+}} ions, one if used as a reagent cannot liberate H2\mathrm{H_2} from dilute mineral…HardThe d- and f-Block ElementsNumerical
  28. Q88While estimating the nitrogen present in an organic compound by Kjeldahl's method, the ammonia evolved from 0.250.25 g of the compound neutralized…EasyOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  29. Q89The number of sp3\mathrm{sp^3} hybridised carbons in an acyclic neutral compound with molecular formula C4H5N\mathrm{C_4H_5N} is ______.MediumOrganic Chemistry: Some Basic Principles and TechniquesNumerical
  30. Q90In the given reaction [cyclopentane ring bearing, on the same carbon, a CH3\mathrm{CH_3} group and a C(=O)OEt\mathrm{C(=O)OEt} group, and on the adjacent…HardAldehydes, Ketones and Carboxylic AcidsNumerical

Maths Q1–30

  1. Q1The total number of functions, f:{1,2,3,4}→{1,2,3,4,5,6}f:\{1,2,3,4\}\rightarrow\{1,2,3,4,5,6\} such that f(1)+f(2)=f(3)f(1)+f(2)=f(3), is equal to :MediumRelations and Functions
  2. Q2If α, β, γ, δ\alpha,\ \beta,\ \gamma,\ \delta are the roots of the equation x4+x3+x2+x+1=0x^4+x^3+x^2+x+1=0, then…MediumComplex Numbers and Quadratic Equations
  3. Q3For n∈Nn\in\mathbf{N}, let Sn={z∈C:∣z−3+2i∣=n4}S_n=\{z\in\mathbf{C}:|z-3+2i|=\frac{n}{4}\} and Tn={z∈C:∣z−2+3i∣=1n}T_n=\{z\in\mathbf{C}:|z-2+3i|=\frac{1}{n}\}. Then the number of…MediumComplex Numbers and Quadratic EquationsDropped
  4. Q4The number of θ∈(0,4π)\theta\in(0,4\pi) for which the system of linear equations 3(sin⁡3θ)x−y+z=23(\sin 3\theta)x-y+z=2 3(cos⁡2θ)x+4y+3z=33(\cos 2\theta)x+4y+3z=3 6x+7y+7z=96x+7y+7z=9 has no…MediumDeterminants
  5. Q5If lim⁡n→∞(n2−n−1+nα+β)=0\lim_{n\to\infty}\left(\sqrt{n^2-n-1}+n\alpha+\beta\right)=0, then 8(α+β)8(\alpha+\beta) is equal to :MediumLimits and Derivatives
  6. Q6If the absolute maximum value of the function f(x)=(x2−2x+7) e(4x3−12x2−180x+31)f(x)=(x^2-2x+7)\,\mathrm{e}^{(4x^3-12x^2-180x+31)} in the interval [−3,0][-3,0] is f(α)f(\alpha), then :MediumApplication of Derivatives
  7. Q7The curve y(x)=ax3+bx2+cx+5y(x)=ax^3+bx^2+cx+5 touches the xx-axis at the point P(−2,0)\mathrm{P}(-2,0) and cuts the yy-axis at the point Q\mathrm{Q}, where y′y' is…MediumApplication of Derivatives
  8. Q8The area of the region given by A={(x,y):x2≤y≤min⁡{x+2, 4−3x}}A=\{(x,y):x^2\le y\le\min\{x+2,\,4-3x\}\} is :MediumApplication of Integrals
  9. Q9For any real number xx, let [x][x] denote the largest integer less than equal to xx. Let ff be a real valued function defined on the interval…HardIntegrals
  10. Q10The slope of the tangent to a curve C:y=y(x)C:y=y(x) at any point (x,y)(x,y) on it is 2e2x−6e−x+92+9e−2x\frac{2\mathrm{e}^{2x}-6\mathrm{e}^{-x}+9}{2+9\mathrm{e}^{-2x}}. If…HardDifferential Equations
  11. Q11The general solution of the differential equation (x−y2) dx+y(5x+y2) dy=0(x-y^2)\,dx+y(5x+y^2)\,dy=0 is :HardDifferential Equations
  12. Q12A line, with the slope greater than one, passes through the point A(4,3)\mathrm{A}(4,3) and intersects the line x−y−2=0x-y-2=0 at the point B\mathrm{B}. If…MediumStraight Lines
  13. Q13Let the locus of the centre (α,β)(\alpha,\beta), β>0\beta>0, of the circle which touches the circle x2+(y−1)2=1x^2+(y-1)^2=1 externally and also touches the…MediumConic Sections
  14. Q14Let PP be the plane containing the straight line x−39=y+4−1=z−7−5\frac{x-3}{9}=\frac{y+4}{-1}=\frac{z-7}{-5} and perpendicular to the plane containing the…HardThree Dimensional Geometry
  15. Q15Let ABCABC be a triangle such that BC→=a⃗\overrightarrow{BC}=\vec a, CA→=b⃗\overrightarrow{CA}=\vec b, AB→=c⃗\overrightarrow{AB}=\vec c, ∣a⃗∣=62|\vec a|=6\sqrt2,…HardVector Algebra
  16. Q16If the sum and the product of mean and variance of a binomial distribution are 2424 and 128128 respectively, then the probability of one or two…MediumProbability
  17. Q17If the numbers appeared on the two throws of a fair six faced die are α\alpha and β\beta, then the probability that x2+αx+β>0x^2+\alpha x+\beta>0, for…MediumProbability
  18. Q18The number of solutions of ∣cos⁡x∣=sin⁡x|\cos x|=\sin x, such that −4π≤x≤4π-4\pi\le x\le4\pi is :EasyTrigonometric Functions
  19. Q19A tower PQPQ stands on a horizontal ground with base QQ on the ground. The point RR divides the tower in two parts such that QR=15QR=15 m. If from a…MediumTrigonometric Functions
  20. Q20Which of the following statements is a tautology ?EasyMathematical Reasoning
  21. Q21Let A=(2−1−110−11−10)A=\begin{pmatrix}2&-1&-1\\1&0&-1\\1&-1&0\end{pmatrix} and B=A−IB=A-I. If ω=3 i−12\omega=\frac{\sqrt3\,i-1}{2}, then the number of elements in the set…HardMatricesNumerical
  22. Q22The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial…MediumPermutations and CombinationsNumerical
  23. Q23If the maximum value of the term independent of tt in the expansion of (t2x15+(1−x)110t)15\left(t^2x^{\frac{1}{5}}+\frac{(1-x)^{\frac{1}{10}}}{t}\right)^{15},…HardBinomial TheoremNumerical
  24. Q24Let a, ba,\ b be two non-zero real numbers. If pp and rr are the roots of the equation x2−8ax+2a=0x^2-8ax+2a=0 and qq and ss are the roots of the equation…HardSequences and SeriesNumerical
  25. Q25Let a1=b1=1a_1=b_1=1, an=an−1+2a_n=a_{n-1}+2 and bn=an+bn−1b_n=a_n+b_{n-1} for every natural number n≥2n\ge2. Then ∑n=115an⋅bn\sum_{n=1}^{15}a_n\cdot b_n is equal to ______.MediumSequences and SeriesNumerical
  26. Q26Let f(x)={∣ 4x2−8x+5 ∣,if 8x2−6x+1≥0[ 4x2−8x+5 ],if 8x2−6x+1<0,f(x)=\begin{cases}\left|\,4x^2-8x+5\,\right|, & \text{if } 8x^2-6x+1\ge0\\ [\,4x^2-8x+5\,], & \text{if } 8x^2-6x+1<0,\end{cases} where…HardContinuity and DifferentiabilityNumerical
  27. Q27If…MediumIntegralsNumerical
  28. Q28Let the equation of two diameters of a circle x2+y2−2x+2fy+1=0x^2+y^2-2x+2fy+1=0 be 2px−y=12px-y=1 and 2x+py=4p2x+py=4p. Then the slope m∈(0,∞)m\in(0,\infty) of the tangent to…MediumConic SectionsNumerical
  29. Q29The sum of diameters of the circles that touch (i) the parabola 75x2=64(5y−3)75x^2=64(5y-3) at the point (85,65)\left(\frac{8}{5},\frac{6}{5}\right) and (ii) the…HardConic SectionsNumerical
  30. Q30The line of shortest distance between the lines x−20=y−11=z1\frac{x-2}{0}=\frac{y-1}{1}=\frac{z}{1} and x−32=y−52=z−11\frac{x-3}{2}=\frac{y-5}{2}=\frac{z-1}{1} makes an…HardThree Dimensional GeometryNumericalDropped

Questions from the official paper published by NTA, answers from the final key. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026; see the other 2022 shifts.