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JEE Main 2021 16th March Evening Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2021 16th March Evening Shift paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire shift as a PDF.

This paper has 90 questions in total - 27 easy (30%), 47 moderate (52%) and 16 tough (18%). That's a fairly typical mix for this exam. By subject: Physics 40% easy, 47% moderate, 13% tough; Chemistry 27% easy, 57% moderate, 17% tough; Mathematics 23% easy, 53% moderate, 23% tough.

Chemistry questions were spread across 26 chapters, with Amines (3), Classification of Elements and Periodicity in Properties (2), and Coordination Compounds (2) carrying the most weight. Mathematics questions were spread across 23 chapters, with Three Dimensional Geometry (3), Continuity and Differentiability (2), and Definite Integration (2) carrying the most weight. Physics questions were spread across 25 chapters, with Current Electricity (2), Motion In One Dimension (2), and Nuclear Physics (2) carrying the most weight.

Chemistry

  1. 1The green house gas/es is (are): (A) Carbon dioxide (B) Oxygen (C) Water vapour (D) Methane Choose the most appropriate answer from the opti16 Mar, 2021 (E)Air Pollution
  2. 2In the above reaction, the reagent A is :16 Mar, 2021 (E)Preparation and Properties of Carboxylic Acids
  3. 3Which of the following reduction reaction CANNOT be carried out with coke?16 Mar, 2021 (E)Reduction to Crude Metal
  4. 4Identify the elements X and Y using the ionization energy values given below : Ionization energy ( kJ / mol ) 1 st 2 nd X 495 4563 Y 731 14516 Mar, 2021 (E)Periodic properties
  5. 5Identify the reagent(s) A and condition(s) for the reaction :16 Mar, 2021 (E)Preparation and Properties of Geminal and Vicinal Dihalides
  6. 6The secondary structure of protein is stabilised by:16 Mar, 2021 (E)Proteins
  7. 7Fex 2 and Fey 3 are known when x and y are :16 Mar, 2021 (E)Halogens and Its Compounds
  8. 8Which of the following polymer is used in the manufacture of wood laminates ?16 Mar, 2021 (E)Preparation and Properties of Polymers
  9. 9Statement I : Sodium hydride can be used as an oxidising agent. Statement II : The lone pair of electrons on nitrogen in pyridine makes it b16 Mar, 2021 (E)Hybridisation and VSEPR Theory
  10. 10The INCORRECT statement regarding the structure of C 60 is :16 Mar, 2021 (E)Carbon and Its Compounds
  11. 11The correct statements about H 2 O 2 are : (A) used in the treatment of effluents. (B) used as both oxidising and reducing agents. (C) the t16 Mar, 2021 (E)Chemical properties of hydrogen peroxide
  12. 12Ammonolysis of Alkyl halides followed by the treatment with NaOH solution can be used to prepare primary, secondary and tertiary amines. The16 Mar, 2021 (E)Preparation and Properties of Amines
  13. 13An unsaturated hydrocarbon X on ozonolysis gives A . Compound A when warmed with ammoniacal silver nitrate forms a bright silver mirror alon16 Mar, 2021 (E)Reactions of alkynes
  14. 14Which of the following is least basic?16 Mar, 2021 (E)Preparation and Properties of Amines
  15. 15The characteristics of elements X , Y and Z with atomic numbers, respectively, 33 , 53 and 83 are:16 Mar, 2021 (E)Periodic properties
  16. 16Match List-I with List-II List-I List-II Test/Reagents/Observation(s) Species detected (a) Lassaigne s Test (i) Carbon (b) Cu(II) oxide (ii)16 Mar, 2021 (E)Preliminary Tests
  17. 17The INCORRECT statements below regarding colloidal solutions is :16 Mar, 2021 (E)Properties of colloidal solution
  18. 18Arrange the following metal complex/ compounds in the increasing order of spin only magnetic moment. Presume all the three, high spin system16 Mar, 2021 (E)Werner's theory and Valence Bond Theory
  19. 19The exact volumes of 1 M NaOH solution required to neutralise 50 mL of 1 M H 3 PO 3 solution and 100 mL of 2 M H 3 PO 2 solution, respective16 Mar, 2021 (E)Equivalence concept
  20. 20The structure of X is:16 Mar, 2021 (E)Preparation and Properties of Cyanides
  21. 21Ga (atomic mass 70 u ) crystallizes in a hexagonal close packed structure. The total number of voids in 0 . 581 g of Ga is ________ 10 21 . 16 Mar, 2021 (E)Cubic system
  22. 22A 5 . 0 m mol dm - 3 aqueous solution of KCl has a conductance of 0 . 55 mS when measured in a cell constant 1 . 3 cm - 1 . The molar conduc16 Mar, 2021 (E)Conductance and Conductivity
  23. 23A and B decompose via first order kinetics with half-lives 54 . 0 min and 18 . 0 min respectively. Starting from an equimolar non-reactive m16 Mar, 2021 (E)Integrated rate laws
  24. 24In Duma s method of estimation of nitrogen, 0 . 1840 g of an organic compound gave 30 mL of nitrogen collected at 287 K and 758 mm of Hg pre16 Mar, 2021 (E)Quantitative analysis of organic compounds
  25. 25The number of orbitals with n = 5 , m 1 = + 2 is ________. (Round off to the Nearest Integer).16 Mar, 2021 (E)Quantum mechanical model
  26. 26At 363 K , the vapour pressure of A is 21 kPa and that of B is 18 kPa . One mole of A and 2 moles of B are mixed. Assuming that this solutio16 Mar, 2021 (E)Vapour pressure and raoult's law
  27. 27Sulphurous acid H 2 SO 3 has Ka 1 = 1 . 7 10 - 2 and Ka 2 = 6 . 4 10 - 8 . The pH of 0 . 588 M H 2 SO 3 is____________ ( Round off to the Ne16 Mar, 2021 (E)PH of solutions
  28. 28When 35 mL of 0 . 15 M lead nitrate solution is mixed with 20 mL of 0 . 12 M chromic sulphate solution, ____________ 10 - 5 moles of lead su16 Mar, 2021 (E)Quantitative measures in chemical equations
  29. 29At 25 C , 50 g of iron reacts with HCl to form FeCl 2 . The evolved hydrogen gas expands against a constant pressure of 1 bar . The work don16 Mar, 2021 (E)First Law and Basic Fundamentals of Thermodynamics
  30. 30Ti H 2 O 6 3 + absorbs light of wavelength 498 nm during a d - d transition. The octahedral splitting energy for the above complex is ______16 Mar, 2021 (E)Crystal Field Theory

Mathematics

  1. 1The maximum value of f x = sin 2 x 1 + cos 2 x cos 2 x 1 + sin 2 x cos 2 x cos 2 x sin 2 x cos 2 x sin 2 x , x R is16 Mar, 2021 (E)Expansion of Determinants
  2. 2Let A denote the event that a 6 -digit integer formed by 0 , 1 , 2 , 3 , 4 , 5 , 6 without repetitions, be divisible by 3 . Then probability16 Mar, 2021 (E)Classical Definition of Probability
  3. 3Let R be such that the function f x = cos - 1 1 - x 2 sin - 1 1 - x x - x 3 , x 0 , x = 0 is continuous at x = 0 , where x = x - x , x is th16 Mar, 2021 (E)Continuity
  4. 4If x , y , z be an arbitrary point lying on a plane P which passes through the point 42 , 0 , 0 , 0 , 42 , 0 and 0 , 0 , 42 , then the value16 Mar, 2021 (E)Plane in Space
  5. 5Consider the integral I = 0 10 x e x e x - 1 d x where x denotes the greatest integer less than or equal to x . Then the value of I is equal16 Mar, 2021 (E)Properties of Definite Integration
  6. 6Let C be the locus of the mirror image of a point on the parabola y 2 = 4 x with respect to the line y = x . Then the equation of tangent to16 Mar, 2021 (E)Tangent to Parabola
  7. 7If y = y x is the solution of the differential equation d y d x + tan x y = sin x , 0 x 3 , with y 0 = 0 , then y 4 is equal to16 Mar, 2021 (E)Linear Differential Equation
  8. 8Let A = 2 , 3 , 4 , 5 , . , 30 and be an equivalence relation on A A , defined by a , b c , d , if and only if a d = b c . Then the number o16 Mar, 2021 (E)Questions on number of relations and sets
  9. 9Let the lengths of intercepts on x -axis and y -axis made by the circle x 2 + y 2 + a x + 2 a y + c = 0 , a 0 be 2 2 and 2 5 , respectively.16 Mar, 2021 (E)Tangent to circle
  10. 10The least value of z where z is complex number which satisfies the inequality e z + 3 z - 1 z + 1 log e 2 log 2 5 7 + 9 i , i = - 1 , is equ16 Mar, 2021 (E)Conjugate, modulus and argument
  11. 11Consider a rectangle A B C D having 5 , 6 , 7 , 9 points in the interior of the line segments A B , B C , C D , D A respectively. Let be the16 Mar, 2021 (E)Geometric Permutation
  12. 12If the points of intersection of the ellipse x 2 16 + y 2 b 2 = 1 and the circle x 2 + y 2 = 4 b , b 4 lie on the curve y 2 = 3 x 2 , then b16 Mar, 2021 (E)Equation of Ellipse
  13. 13Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy sin - 1 3 x 5 16 Mar, 2021 (E)Sum and difference of angles
  14. 14Let A - 1 , 1 , B 3 , 4 and C 2 , 0 be given three points. A line y = m x , m 0 , intersects lines A C and B C at point P and Q respectively16 Mar, 2021 (E)Coordinate System
  15. 15Let f be a real valued function, defined on R - - 1 , 1 and given by f x = 3 log e x - 1 x + 1 - 2 x - 1 . Then in which of the following in16 Mar, 2021 (E)Monotonicity
  16. 16Let f : S S where S = 0 , be a twice differentiable function such that f x + 1 = x f x . If g : S R be defined as g x = log e f x , then the16 Mar, 2021 (E)Higher order derivatives
  17. 17Let P x = x 2 + b x + c be a quadratic polynomial with real coefficients such that 0 1 P x d x = 1 and P x leaves remainder 5 when it is div16 Mar, 2021 (E)Basic Definite Integrals
  18. 18If the foot of the perpendicular from point 4 , 3 , 8 on the line L 1 : x - a l = y - 2 3 = z - b 4 , l 0 is 3 , 5 , 7 , then the shortest d16 Mar, 2021 (E)Line in Space
  19. 19Let C 1 be the curve obtained by the solution of differential equation 2 x y d y d x = y 2 - x 2 , x 0 . Let the curve C 2 be the solution o16 Mar, 2021 (E)Homogeneous DE
  20. 20Let a = i ^ + 2 j ^ - 3 k ^ and b = 2 i ^ - 3 j ^ + 5 k ^ . If r a = b r , r i ^ + 2 j ^ + k ^ = 3 and r ( 2 i ^ + 5 j ^ - k ^ ) = - 1 , R ,16 Mar, 2021 (E)Product of 2 vectors
  21. 21If the distance of the point 1 , - 2 , 3 from the plane x + 2 y - 3 z + 10 = 0 measured parallel to the line, x - 1 3 = 2 - y m = z + 3 1 is16 Mar, 2021 (E)Line and Plane
  22. 22Consider the statistics of two sets of observations as follows: Size Mean Variance Observation I 10 2 2 Observation II n 3 1 If the variance16 Mar, 2021 (E)Measures of Dispersion
  23. 23Let A = a 1 a 2 and B = b 1 b 2 be two 2 1 matrices with real entries such that A = X B , where X = 1 3 1 - 1 1 k , and k R . If a 1 2 + a 216 Mar, 2021 (E)Product of Matrices
  24. 24For real numbers , , and , if x 2 - 1 + tan - 1 x 2 + 1 x x 4 + 3 x 2 + 1 tan - 1 x 2 + 1 x d x = log e tan - 1 x 2 + 1 x + tan - 1 x 2 - 1 16 Mar, 2021 (E)Integration by Substitution
  25. 25Let f : R R and g : R R be defined as f x = x + a , x 0 | x - 1 | , x 0 and g x = x + 1 , x 0 ( x - 1 ) 2 + b , x 0 , where a , b are non-ne16 Mar, 2021 (E)Continuity
  26. 26Let 1 16 , a and b be in G.P. and 1 a , 1 b , 6 be in A.P., where a , b 0 . Then 72 ( a + b ) is equal to _______ .16 Mar, 2021 (E)Mixed Question on AP and GP
  27. 27In ABC , the lengths of sides A C and A B are 12 cm and 5 cm , respectively. If the area of ABC is 30 cm 2 and R and r are respectively the 16 Mar, 2021 (E)Sine Rule and its application
  28. 28Let n be a positive integer. Let A = k = 0 n - 1 k C k n 1 2 k + 3 4 k + 7 8 k + 15 16 k + 31 32 k . If 63 A = 1 - 1 2 30 , then n is equal 16 Mar, 2021 (E)Sum of Series
  29. 29Let c be a vector perpendicular to the vectors a = i ^ + j ^ - k ^ and b = i ^ + 2 j ^ + k ^ . If c ( i ^ + j ^ + 3 k ^ ) = 8 , then the val16 Mar, 2021 (E)Product of 2 vectors
  30. 30Let S n ( x ) = log a 1 / 2 x + log a 1 / 3 x + log a 1 / 6 x + log a 1 / 11 x + log a 1 / 18 x + log a 1 / 27 x + up to n -terms, where a 116 Mar, 2021 (E)Summation of Series

Physics

  1. 1The following logic gate is equivalent to :16 Mar, 2021 (E)Logic gates
  2. 2A large block of wood of mass M = 5 . 99 kg is hanging from two long massless cords. A bullet of mass m = 10 g is fired into the block and g16 Mar, 2021 (E)momentum
  3. 3A charge Q is moving d l distance in the magnetic field B . Find the value of work done by B .16 Mar, 2021 (E)Force and Torque on Current Carrying Conductor
  4. 4What will be the nature of flow of water from a circular tap, when its flow rate increased from 0 . 18 L min - 1 to 0 . 48 L min - 1 ? The r16 Mar, 2021 (E)Viscosity
  5. 5A mosquito is moving with a velocity v = 0 . 5 t 2 i ^ + 3 t j ^ + 9 k ^ m s - 1 and accelerating in uniform conditions. What will be the di16 Mar, 2021 (E)Rest and Motion
  6. 6Find out the surface charge density at the intersection of point x = 3 m plane and x -axis, in the region of uniform line charge of 8 nC m -16 Mar, 2021 (E)Electric Flux and Gauss Law
  7. 7The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same potential of 100 V . Wh16 Mar, 2021 (E)Matter Waves
  8. 8For the given circuit, comment on the type of transformer used :16 Mar, 2021 (E)Transformers
  9. 9The half-life of Au 198 is 2 . 7 days. The activity of 1 . 50 mg of Au 198 , if its atomic weight is 198 g mol - 1 is, N A = 6 10 23 mol - 116 Mar, 2021 (E)Radioactivity
  10. 10Calculate the value of the mean free path for oxygen molecules at temperature 27 C and pressure 1 . 01 10 5 Pa . Assume the molecular diamet16 Mar, 2021 (E)Speed of Gas
  11. 11The refractive index of a converging lens is 1 . 4 . What will be the focal length of this lens if it is placed in a medium of same refracti16 Mar, 2021 (E)Lens Formula, Refraction of light from curved surface
  12. 12In order to determine the Young s Modulus of a wire of radius 0 . 2 cm (measured using a scale of least count = 0 . 001 cm ) and length 1 m 16 Mar, 2021 (E)Errors of Measurement
  13. 13A bimetallic strip consists of metals A and B . It is mounted rigidly as shown. The metal A has higher coefficient of expansion compared to 16 Mar, 2021 (E)Thermal Expansion
  14. 14A resistor develops 500 J of thermal energy in 20 s when a current of 1 . 5 A is passed through it. If the current is increased from 1 . 5 A16 Mar, 2021 (E)Electric Power and Heating Effect of Current
  15. 15Statement I: A cyclist is moving on an unbanked road with a speed of 7 km h - 1 and takes a sharp circular turn along a path of the radius o16 Mar, 2021 (E)Non-uniform Circular Motion
  16. 16Two identical antennas mounted on identical towers are separated from each other by a distance of 45 km . What should nearly be the minimum 16 Mar, 2021 (E)Communication System
  17. 17The magnetic field in a region is given by B = B 0 x a k ^ . A square loop of side d is placed with its edges along the x and y axes. The lo16 Mar, 2021 (E)Magnetic Flux, Faraday's and Lenz law
  18. 18The amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time. If mass = 500 g , Decay constant = 20 16 Mar, 2021 (E)Applications of SHM
  19. 19Calculate the time interval between 33 % decay and 67 % decay if half-life of a substance is 20 min .16 Mar, 2021 (E)Radioactivity
  20. 20Red light differs from blue light as they have :16 Mar, 2021 (E)Electromagnetic Waves and Maxwell's equations
  21. 21The energy dissipated by a resistor is 10 mJ in 1 s , when an electric current of 2 mA flows through it. The resistance is ________ . (Round16 Mar, 2021 (E)Electric Power and Heating Effect of Current
  22. 22In a parallel plate capacitor set up, the plate area of capacitor is 2 m 2 and the plates are separated by 1 m . If the space between the pl16 Mar, 2021 (E)Capacitors with Dielectric
  23. 23A force F = 4 i ^ + 3 j ^ + 4 k ^ is applied on an intersection point of x = 2 plane and x -axis. The magnitude of torque of this force abou16 Mar, 2021 (E)Torque
  24. 24If one wants to remove all the mass of the earth to infinity in order to break it up completely. The amount of energy that needs to be suppl16 Mar, 2021 (E)Gravitational potential and Potential Energy
  25. 25A deviation of 2 is produced in the yellow ray when prism of crown and flint glass are achromatically combined. Taking dispersive powers of 16 Mar, 2021 (E)Prism and Dispersion of Light
  26. 26A body of mass 2 kg moves under a force of 2 i ^ + 3 j ^ + 5 k ^ N It starts from rest and was at the origin initially. After 4 s , its new 16 Mar, 2021 (E)Uniform Motion
  27. 27A swimmer can swim with velocity of 12 km / h in still water. Water flowing in a river has velocity 6 km / h . The direction with respect to16 Mar, 2021 (E)Relative motion
  28. 28A closed organ pipe of length L and an open organ pipe contain gases of densities 1 and 2 respectively. The compressibility of gases are equ16 Mar, 2021 (E)Organ Pipe (Vibration of Air Column)
  29. 29A solid disc of radius a and mass m rolls down without slipping on an inclined plane making an angle with the horizontal. The acceleration o16 Mar, 2021 (E)Rolling without Slipping
  30. 30For an ideal heat engine, the temperature of the source is 127 C . In order to have 60 % efficiency the temperature of the sink should be __16 Mar, 2021 (E)Heat Engine, Refrigerator and Second Law of Thermodynamics

Frequently Asked Questions

1.How many questions are in the JEE Main 2021 16th March Evening Shift paper?

This paper has 90 questions in total - 30 each from Chemistry, Mathematics, and Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this shift.

3.Is this the same paper for all students who appeared in the evening shift?

JEE Main uses different question sets across shifts and sessions to maintain exam integrity, so this page reflects the specific paper administered in the 16th March 2021 evening shift.

4.Where can I find the morning shift paper for the same date?

The JEE Main 2021 16th March Morning Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 16th March 2021.

5.What is the structure of the JEE Main 2021 16th March Evening Shift paper?

The JEE Main 2021 16th March Evening Shift paper on MARKS has 90 questions, organised by subject:

  • Chemistry: 30 questions - 20 single-correct and 10 numerical-value.
  • Mathematics: 30 questions - 20 single-correct and 10 numerical-value.
  • Physics: 30 questions - 20 single-correct and 10 numerical-value.
6.What is the difficulty level of the JEE Main 2021 16th March Evening Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 27 (30%) are easy, 47 (52%) are medium and 16 (18%) are hard. Subject wise:

  • Chemistry: 8 easy, 17 medium, 5 hard
  • Mathematics: 7 easy, 16 medium, 7 hard
  • Physics: 12 easy, 14 medium, 4 hard
7.Which chapters had the most questions in the JEE Main 2021 16th March Evening Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: Amines (3), Classification of Elements and Periodicity in Properties (2), and Coordination Compounds (2).
  • Mathematics: Three Dimensional Geometry (3), Continuity and Differentiability (2), and Definite Integration (2).
  • Physics: Current Electricity (2), Motion In One Dimension (2), and Nuclear Physics (2).
8.Are there any out-of-syllabus questions in the JEE Main 2021 16th March Evening Shift paper?

Yes. 20 of the 90 questions in this paper are marked on MARKS as outside the current syllabus. You can still practise them for the concept, but they are a lower priority if you are short on time.

9.Where can I find the solutions for the JEE Main 2021 16th March Evening Shift paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole shift is coming soon.

10.How should I use the JEE Main 2021 16th March Evening Shift paper to check my preparation?

Set a timer, attempt the 90 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for JEE Main. Repeating this with other papers shows whether the same weak spots keep coming back.

11.Will the JEE Main 2021 16th March Evening Shift paper help me prepare for JEE Main 2027?

Yes. Every past paper shows the question styles and topics JEE Main has asked before, and a solved paper gives you a realistic benchmark for speed and accuracy. Use it along with the other papers to spot the chapters that keep returning.