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Friday, 9 October

JEE Main 2021 · March session

JEE Main 18 March 2021, Shift 1

90 questions: 30 numerical-answer and 60 multiple choice. 8 were rated hard and 36 easy. By hard questions it ranks 2nd of the 4 2021 shifts Lumi analysed. The biggest chapter was Aldehydes, Ketones and Carboxylic Acids, with 3 questions.

Questions
90
none dropped
Numerical answer
30
33% of the shift
Hard
8
9% of the shift
Chapters asked
66
13 questions with a figure

The shift at a glance

Subjects, difficulty and chapters

Physics
30 Q · 10 numerical
Easy 14Medium 16Hard 0

Top chapters

Chemistry
30 Q · 10 numerical
Easy 16Medium 12Hard 2

Top chapters

Maths
30 Q · 10 numerical
Easy 6Medium 18Hard 6

Top chapters

Question format
  • Single correct46 Q
  • Numerical value30 Q
  • Diagram based6 Q
  • Match the list6 Q
  • Assertion–reason1 Q
  • Other1 Q
What each question asks you to do
  • Calculation31 Q
  • Multi-step22 Q
  • Application13 Q
  • Recall12 Q
  • Conceptual8 Q
  • Data or graph3 Q
  • Diagram reading1 Q

Most common: Calculation.

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 Q1–30

  1. Q1An oil drop of radius 2 mm with a density 3 g cm−3^{-3} is held stationary under a constant electric field 3.55×1053.55\times10^{5} V m−1^{-1} in the…MediumElectric Charges and Fields
  2. Q2A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in…EasyWork, Energy and Power
  3. Q3Four identical long solenoids A, B, C and D are connected to each other as shown in the figure. If the magnetic field at the center of A is 3 T, the…MediumMoving Charges and Magnetism
  4. Q4The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use…MediumThermodynamics
  5. Q5The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :EasyMotion in a Straight Line
  6. Q6An AC source rated 220 V, 50 Hz is connected to a resistor. The time taken by the current to change from its maximum to the rms value is :EasyAlternating Current
  7. Q7In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and the screen is placed at a distance of 0.5 m from them. The distance…EasyWave Optics
  8. Q8A particle is travelling 4 times as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is 2 : 1, the…EasyDual Nature of Radiation and Matter
  9. Q9The time period of a simple pendulum is given by T=2πlgT = 2\pi\sqrt{\frac{l}{g}}. The measured value of the length of pendulum is 10 cm known to a 1 mm…MediumUnits and Measurements
  10. Q10Imagine that the electron in a hydrogen atom is replaced by a muon (μ\mu). The mass of muon particle is 207 times that of an electron and charge is…MediumAtoms
  11. Q11A radioactive sample disintegrates via two independent decay processes having half lives T1/2(1)T_{1/2}^{(1)} and T1/2(2)T_{1/2}^{(2)} respectively. The…MediumNuclei
  12. Q12A loop of flexible wire of irregular shape carrying current is placed in an external magnetic field. Identify the effect of the field on the wire.MediumMoving Charges and Magnetism
  13. Q13In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor of length 10.0 cm and diameter of 5.00 mm.…MediumUnits and Measurements
  14. Q14The time period of a satellite in a circular orbit of radius R is T. The period of another satellite in a circular orbit of radius 9R is :EasyGravitation
  15. Q15In a series LCR resonance circuit, if we change the resistance only, from a lower to higher value :MediumAlternating Current
  16. Q16Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to her as non-uniform and…MediumRay Optics and Optical Instruments
  17. Q17What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature T ? (kBk_B is…EasyKinetic Theory
  18. Q18Match List - I with List - II. List - I (a) 10 km height over earth's surface (b) 70 km height over earth's surface (c) 180 km height over earth's…EasyCommunication Systems
  19. Q19A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the xx-direction. At a particular point in space and time,…MediumElectromagnetic Waves
  20. Q20A thin circular ring of mass M and radius r is rotating about its axis with an angular speed ω\omega. Two particles having mass m each are now…EasySystem of Particles and Rotational Motion
  21. Q21An npn transistor operates as a common emitter amplifier with a power gain of 10610^6. The input circuit resistance is 100 Ω\Omega and the output…MediumSemiconductor Electronics: Materials, Devices and Simple CircuitsNumerical
  22. Q22A ball of mass 10 kg moving with a velocity 10310\sqrt{3} m/s along the xx-axis, hits another ball of mass 20 kg which is at rest. After the…MediumSystem of Particles and Rotational MotionNumerical
  23. Q23The voltage across the 10 Ω\Omega resistor in the given circuit is xx volt. The value of 'x' to the nearest integer is __________.EasyCurrent ElectricityNumerical
  24. Q24As shown in the figure, a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its right, it starts moving and…EasyWork, Energy and PowerNumerical
  25. Q25A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displacement equal to half of its…MediumOscillationsNumerical
  26. Q26The circuit shown in the figure consists of a charged capacitor of capacity 3 μ\muF and a charge of 30 μ\muC. At time t=0t=0, when the key is…EasyElectromagnetic InductionNumerical
  27. Q27A person is swimming with a speed of 10 m/s at an angle of 120° with the flow and reaches to a point directly opposite on the other side of the…EasyMotion in a PlaneNumerical
  28. Q28Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2 N. Assume that both the wires are…MediumMechanical Properties of SolidsNumerical
  29. Q29A parallel plate capacitor has plate area 100 m2^2 and plate separation of 10 m. The space between the plates is filled up to a thickness 5 m with…MediumElectrostatic Potential and CapacitanceNumerical
  30. Q30A bullet of mass 0.1 kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50 cm into it. If the velocity of…EasyWork, Energy and PowerNumerical

Chemistry Q31–60

  1. Q31In a binary compound, atoms of element A form a hcp structure and those of element M occupy 2/3 of the tetrahedral voids of the hcp structure. The…EasyThe Solid State
  2. Q32A certain orbital has no angular nodes and two radial nodes. The orbital is :EasyStructure of Atom
  3. Q33Match List - I with List - II : List - I (Process) (a) Deacon's process (b) Contact process (c) Cracking of hydrocarbons (d) Hydrogenation of…MediumSurface Chemistry
  4. Q34The ionic radius of Na+\mathrm{Na^+} ion is 1.02 Å. The ionic radii (in Å) of Mg2+\mathrm{Mg^{2+}} and Al3+\mathrm{Al^{3+}}, respectively, are :EasyClassification of Elements and Periodicity in Properties
  5. Q35The chemical that is added to reduce the melting point of the reaction mixture during the extraction of aluminium is :EasyGeneral Principles and Processes of Isolation of Elements
  6. Q36Given below are two Statements : One is labelled as Assertion A and the other is labelled as Reason R : Assertion A : During the boiling of water…MediumHydrogen
  7. Q37Match List - I with List - II : List - I (a) Ca(OCl)2\mathrm{Ca(OCl)_2} (b) CaSO4⋅12H2O\mathrm{CaSO_4\cdot\frac{1}{2}H_2O} (c) CaO (d) CaCO3\mathrm{CaCO_3} List - II…EasyThe s-Block Elements
  8. Q38The number of ionisable hydrogens present in the product obtained from a reaction of phosphorus trichloride and phosphonic acid is :HardThe p-Block Elements
  9. Q39Match List - I with List - II : List - I (a) Chlorophyll (b) Vitamin - B12\mathrm{B_{12}} (c) Anticancer drug (d) Grubbs catalyst List - II (i)…EasyCoordination Compounds
  10. Q40The correct structures of trans-[NiBr2(PPh3)2]\mathrm{[NiBr_2(PPh_3)_2]} and meridional-[Co(NH3)3(NO2)3]\mathrm{[Co(NH_3)_3(NO_2)_3]}, respectively, are :MediumCoordination Compounds
  11. Q41The statements that are TRUE : (A) methane leads to both global warming and photochemical smog (B) methane is generated from paddy fields (C)…MediumEnvironmental Chemistry
  12. Q42Compound with molecular formula C3H6O\mathrm{C_3H_6O} can show :EasyOrganic Chemistry: Some Basic Principles and Techniques
  13. Q43Match List - I with List - II : List - I (Chemicals) (a) Alcoholic potassium hydroxide (b) Pd/BaSO4\mathrm{BaSO_4} (c) BHC (Benzene hexachloride) (d)…MediumHaloalkanes and Haloarenes
  14. Q44Reaction of Grignard reagent, C2H5MgBr\mathrm{C_2H_5MgBr} with C8H8O\mathrm{C_8H_8O} followed by hydrolysis gives compound "A" which reacts instantly with…MediumAlcohols, Phenols and Ethers
  15. Q45[figure: cyclohexyl-C#N --(H2O/H+)--> "A" (Major Product) --(H2O/H+, heat)--> cyclohexyl-COOH] Consider the above chemical reaction and identify…EasyAldehydes, Ketones and Carboxylic Acids
  16. Q46[figure: p-methylanisole (benzene ring with CH3 at top and OCH3 at bottom, para) --(Alkaline KMnO4, then H+)--> "X"] Considering the above chemical…EasyAldehydes, Ketones and Carboxylic Acids
  17. Q47[figure: aniline --(NaNO2, HCl, 273 K - 278 K)--> "X" (Major Product) --(N,N-dimethylaniline)--> "Y" (Major Product)] Considering the above…EasyAmines
  18. Q48Match List - I with List - II : List - I (Class of Drug) (a) Antacid (b) Artificial Sweetener (c) Antifertility (d) Tranquilizers List - II…EasyChemistry in Everyday Life
  19. Q49A non-reducing sugar "A" hydrolyses to give two reducing mono saccharides. Sugar A is :EasyBiomolecules
  20. Q50Reagent, 1-naphthylamine and sulphanilic acid in acetic acid is used for the detection of :MediumOrganic Chemistry: Some Basic Principles and Techniques
  21. Q51Complete combustion of 3 g of ethane gives x×1022x\times10^{22} molecules of water. The value of xx is __________. (Round off to the Nearest Integer).…EasySome Basic Concepts of ChemistryNumerical
  22. Q52AX is a covalent diatomic molecule where A and X are second row elements of periodic table. Based on Molecular orbital theory, the bond order of AX…MediumChemical Bonding and Molecular StructureNumerical
  23. Q53For the reaction C2H6→C2H4+H2\mathrm{C_2H_6 \rightarrow C_2H_4 + H_2} the reaction enthalpy ΔrH=\Delta_rH = __________ kJ mol−1^{-1}. (Round off to the Nearest…EasyThermodynamics (Chemistry)Numerical
  24. Q542 molal solution of a weak acid HA has a freezing point of 3.885°C. The degree of dissociation of this acid is __________ ×10−3\times10^{-3}. (Round…MediumSolutionsNumerical
  25. Q55In order to prepare a buffer solution of pH 5.74, sodium acetate is added to acetic acid. If the concentration of acetic acid in the buffer is 1.0…EasyEquilibriumNumerical
  26. Q56For the reaction 2Fe3+(aq)+2I−(aq)→2Fe2+(aq)+I2(s)\mathrm{2Fe^{3+}(aq) + 2I^-(aq) \rightarrow 2Fe^{2+}(aq) + I_2(s)} the magnitude of the standard molar free energy change,…HardElectrochemistryNumerical
  27. Q572 NO(g)+Cl2(g)⇌2 NOCl(s)\mathrm{2\,NO(g) + Cl_2(g) \rightleftharpoons 2\,NOCl(s)} This reaction was studied at −10-10°C and the following data was obtained run |…MediumChemical KineticsNumerical
  28. Q58The total number of unpaired electrons present in the complex K3[Cr(oxalate)3]\mathrm{K_3[Cr(oxalate)_3]} is __________.EasyCoordination CompoundsNumerical
  29. Q59__________ grams of 3-Hydroxy propanal (MW = 74) must be dehydrated to produce 7.8 g of acrolein (MW = 56) (C3H4O\mathrm{C_3H_4O}) if the percentage…MediumAldehydes, Ketones and Carboxylic AcidsNumerical
  30. Q60A reaction of 0.1 mole of Benzylamine with bromomethane gave 23 g of Benzyl trimethyl ammonium bromide. The number of moles of bromomethane consumed…MediumAminesNumerical

Maths Q61–90

  1. Q61If the functions are defined as f(x)=xf(x)=\sqrt{x} and g(x)=1−xg(x)=\sqrt{1-x}, then what is the common domain of the following functions :…EasyRelations and Functions
  2. Q62If the equation a∣z∣2+αˉz+αzˉ+d=0a|z|^2 + \bar{\alpha}z + \alpha\bar{z} + d = 0 represents a circle where a, d are real constants, then which of the following…MediumComplex Numbers and Quadratic Equations
  3. Q63Let A+2B=[1206−33−531]A+2B=\begin{bmatrix}1&2&0\\6&-3&3\\-5&3&1\end{bmatrix} and 2A−B=[2−152−16012]2A-B=\begin{bmatrix}2&-1&5\\2&-1&6\\0&1&2\end{bmatrix}. If Tr(A) denotes the sum…EasyMatrices
  4. Q64Let α,β,γ\alpha,\beta,\gamma be the real roots of the equation, x3+ax2+bx+c=0x^3+ax^2+bx+c=0, (a,b,c∈Ra,b,c\in\mathbf{R} and a,b≠0a,b\ne0). If the system of equations (in…HardDeterminants
  5. Q65The sum of all the 4-digit distinct numbers that can be formed with the digits 1, 2, 2 and 3 is :MediumPermutations and Combinations
  6. Q66Let (1+x+2x2)20=a0+a1x+a2x2+…+a40x40(1+x+2x^2)^{20} = a_0 + a_1x + a_2x^2 + \ldots + a_{40}x^{40}. Then, a1+a3+a5+…+a37a_1 + a_3 + a_5 + \ldots + a_{37} is equal to :HardBinomial Theorem
  7. Q67The value of 3+14+13+14+13+⋯∞3+\cfrac{1}{4+\cfrac{1}{3+\cfrac{1}{4+\cfrac{1}{3+\cdots\infty}}}} is equal to :MediumSequences and Series
  8. Q68132−1+152−1+172−1+…+1(201)2−1\frac{1}{3^2-1}+\frac{1}{5^2-1}+\frac{1}{7^2-1}+\ldots+\frac{1}{(201)^2-1} is equal to :MediumSequences and Series
  9. Q69If α,β\alpha,\beta are natural numbers such that 100α−199β=(100)(100)+(99)(101)+(98)(102)+…+(1)(199)100^{\alpha}-199\beta=(100)(100)+(99)(101)+(98)(102)+\ldots+(1)(199), then the slope of the line…MediumStraight Lines
  10. Q70If f(x)={1∣x∣; ∣x∣≥1ax2+b; ∣x∣<1f(x)=\begin{cases}\dfrac{1}{|x|} & ;\ |x|\ge1\\ ax^2+b & ;\ |x|<1\end{cases} is differentiable at every point of the domain, then the values of…MediumContinuity and Differentiability
  11. Q71The real valued function f(x)=cosec−1xx−[x]f(x)=\dfrac{\mathrm{cosec}^{-1}x}{\sqrt{x-[x]}}, where [x][x] denotes the greatest integer less than or equal to xx, is…MediumInverse Trigonometric Functions
  12. Q72If lim⁡x→0sin⁡−1x−tan⁡−1x3x3\lim_{x\to0}\dfrac{\sin^{-1}x-\tan^{-1}x}{3x^3} is equal to L, then the value of (6L+1)(6L+1) is :MediumLimits and Derivatives
  13. Q73The integral ∫(2x−1)cos⁡(2x−1)2+54x2−4x+6 dx\int\dfrac{(2x-1)\cos\sqrt{(2x-1)^2+5}}{\sqrt{4x^2-4x+6}}\,dx is equal to : (where c is a constant of integration)MediumIntegrals
  14. Q74The differential equation satisfied by the system of parabolas y2=4a(x+a)y^2=4a(x+a) is :MediumDifferential Equations
  15. Q75Choose the correct statement about two circles whose equations are given below : x2+y2−10x−10y+41=0x^2+y^2-10x-10y+41=0 x2+y2−22x−10y+137=0x^2+y^2-22x-10y+137=0EasyConic Sections
  16. Q76For the four circles M, N, O and P, following four equations are given : Circle M : x2+y2=1x^2+y^2=1 Circle N : x2+y2−2x=0x^2+y^2-2x=0 Circle O :…EasyConic Sections
  17. Q77The number of integral values of m so that the abscissa of point of intersection of lines 3x+4y=93x+4y=9 and y=mx+1y=mx+1 is also an integer, is :MediumStraight Lines
  18. Q78The equation of one of the straight lines which passes through the point (1, 3) and makes an angle tan⁡−1(2)\tan^{-1}(\sqrt{2}) with the straight line,…MediumStraight Lines
  19. Q79The solutions of the equation…MediumDeterminants
  20. Q80A vector a⃗\vec{a} has components 3p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the…MediumVector Algebra
  21. Q81Let z1,z2z_1, z_2 be the roots of the equation z2+az+12=0z^2+az+12=0 and z1,z2z_1, z_2 form an equilateral triangle with origin. Then, the value of ∣a∣|a| is…MediumComplex Numbers and Quadratic EquationsNumerical
  22. Q82Let f(x)f(x) and g(x)g(x) be two functions satisfying f(x2)+g(4−x)=4x3f(x^2)+g(4-x)=4x^3 and g(4−x)+g(x)=0g(4-x)+g(x)=0, then the value of ∫−44f(x2) dx\int_{-4}^{4}f(x^2)\,dx is __________.HardIntegralsNumerical
  23. Q83If f(x)=∫5x8+7x6(x2+1+2x7)2 dxf(x)=\int\dfrac{5x^8+7x^6}{(x^2+1+2x^7)^2}\,dx, (x≥0)(x\ge0), f(0)=0f(0)=0 and f(1)=1Kf(1)=\dfrac{1}{K}, then the value of K is __________.HardIntegralsNumerical
  24. Q84A square ABCD has all its vertices on the curve x2y2=1x^2y^2=1. The midpoints of its sides also lie on the same curve. Then, the square of area of ABCD…HardConic SectionsNumerical
  25. Q85Let the plane ax+by+cz+d=0ax+by+cz+d=0 bisect the line joining the points (4,−3,1)(4,-3,1) and (2,3,−5)(2,3,-5) at the right angles. If a, b, c, d are integers, then the…EasyThree Dimensional GeometryNumerical
  26. Q86The equation of the planes parallel to the plane x−2y+2z−3=0x-2y+2z-3=0 which are at unit distance from the point (1,2,3)(1,2,3) is ax+by+cz+d=0ax+by+cz+d=0. If…MediumThree Dimensional GeometryNumerical
  27. Q87The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If the…EasyStatisticsNumerical
  28. Q88The number of times the digit 3 will be written when listing the integers from 1 to 1000 is __________.MediumPermutations and CombinationsNumerical
  29. Q89The missing value in the following figure is __________.HardSequences and SeriesNumerical
  30. Q90The number of solutions of the equation ∣cot⁡x∣=cot⁡x+1sin⁡x|\cot x|=\cot x+\dfrac{1}{\sin x} in the interval [0,2π][0,2\pi] is __________.MediumTrigonometric FunctionsNumerical

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 2021 shifts.