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JEE Main 2021 31st August Evening Shift

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2021 31st August 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 - 33 easy (37%), 46 moderate (51%) and 11 tough (12%). That's a fairly typical mix for this exam. By subject: Physics 37% easy, 50% moderate, 13% tough; Chemistry 40% easy, 47% moderate, 13% tough; Mathematics 33% easy, 57% moderate, 10% tough.

Chemistry questions were spread across 24 chapters, with General Organic Chemistry (3), Aldehydes and Ketones (2), and Hydrocarbons (2) carrying the most weight. Mathematics questions were spread across 24 chapters, with Application of Derivatives (3), Differential Equations (2), and Functions (2) carrying the most weight. Physics questions were spread across 25 chapters, with Current Electricity (2), Magnetic Effects of Current (2), and Mathematics in Physics (2) carrying the most weight.

Chemistry

  1. 1The incorrect expression among the following is :31 Aug, 2021 (E)Third law of thermodynamics
  2. 2Match List - I with List - II : List - I (Parameter) List - II (Unit) (a) Cell constant (i) S cm 2 mol - 1 (b) Molar conductivity (ii) Dimen31 Aug, 2021 (E)Conductance and Conductivity
  3. 3The Eu 2 + ion is a strong reducing agent in spite of its ground state electronic configuration (outermost) : [Atomic number of Eu = 63 ]31 Aug, 2021 (E)F-Block elements
  4. 4The major product of the following reaction is :31 Aug, 2021 (E)Preparation and Properties of Monohalides
  5. 5Spin only magnetic moment in BM of Fe CO 4 C 2 O 4 + is :31 Aug, 2021 (E)Werner's theory and Valence Bond Theory
  6. 6Identify correct A , B and C in the reaction sequence given below :31 Aug, 2021 (E)Reactions of Benzene
  7. 7Match List - I with List - II : List - I (Metal ion) List - II (Group in Qualitative analysis) (a) Mn 2 + (i) Group - III (b) As 3 + (ii) Gr31 Aug, 2021 (E)Qualitative analysis of organic compounds
  8. 8Which among the following is not a polyester ?31 Aug, 2021 (E)Preparation and Properties of Polymers
  9. 9The number of S = O bonds present in sulphurous acid, peroxodisulphuric acid and pyrosulphuric acid, respectively are :31 Aug, 2021 (E)Sulphur and Its Compounds
  10. 10For the following sequence of reactions, the correct products are :31 Aug, 2021 (E)Reactions of Benzene
  11. 11The deposition of X and Y on ground surfaces is referred as wet and dry depositions, respectively. X and Y are :31 Aug, 2021 (E)Air Pollution
  12. 12For the reaction given below : The compound which is not formed as a product in the reaction is a :31 Aug, 2021 (E)Chemical reactions for aldehydes and ketones
  13. 13In which one of the following sets all species show disproportionation reaction?31 Aug, 2021 (E)Types of redox reactions
  14. 14The structures of A and B formed in the following reaction are : Ph = - C 6 H 531 Aug, 2021 (E)Chemical reactions for aldehydes and ketones
  15. 15Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Lithium salts are 31 Aug, 2021 (E)General Characteristics of Alkali Metals
  16. 16The major products A and B formed in the following reaction sequence are :31 Aug, 2021 (E)Preparation and Properties of Amines
  17. 17Which of the following is NOT an example of fibrous protein ?31 Aug, 2021 (E)Proteins
  18. 18Which one of the following correctly represents the order of stability of oxides, X 2 O ; ( X = halogen ) ?31 Aug, 2021 (E)Halogens and Its Compounds
  19. 19Which one of the following statements is incorrect ?31 Aug, 2021 (E)Preparation and Properties of Hydrogen
  20. 20Arrange the following conformational isomers of n-butane in order of their increasing potential energy:31 Aug, 2021 (E)Isomerism of Organic Compounds
  21. 21According to molecular orbital theory, the number of unpaired electron(s) in O 2 2 - is _________ .31 Aug, 2021 (E)Molecular Orbital Theory
  22. 22CH 4 is adsorbed on 1 g charcoal at 0 C following the Freundlich adsorption isotherm. 10 . 0 mL of CH 4 is adsorbed at 100 mm of Hg , wherea31 Aug, 2021 (E)Adsorption isotherms
  23. 23In the electrolytic refining of blister copper, the total number of main impurities, from the following, removed as anode mud is ___________31 Aug, 2021 (E)Extraction of Metals
  24. 24Sodium oxide reacts with water to produce sodium hydroxide. 20 . 0 g of sodium oxide is dissolved in 500 mL of water. Neglecting the change 31 Aug, 2021 (E)Solubility and Concentration of Solutions
  25. 25The empirical formula for a compound with a cubic close packed arrangement of anions and with cations occupying all the octahedral sites in 31 Aug, 2021 (E)Cubic system
  26. 26The transformation occurring in Duma s method is given below C 2 H 7 N + 2 x + y 2 CuO xCO 2 + y 2 H 2 O + z 2 N 2 + 2 x + y 2 Cu The value 31 Aug, 2021 (E)Quantitative analysis of organic compounds
  27. 27The pH of a solution obtained by mixing 50 mL of 1 M HCl and 30 mL of 1 M NaOH is x 10 - 4 . The value of x is (Nearest integer) log 2 . 5 =31 Aug, 2021 (E)PH of solutions
  28. 28The value of magnetic quantum number of the outermost electron of Zn + ion is _________ . (Integer answer)31 Aug, 2021 (E)Quantum mechanical model
  29. 29For the reaction A B , the rate constant k (in s - 1 ) is given by log 10 k = 20 . 35 - 2 . 47 10 3 T The energy of activation in kJ mol - 131 Aug, 2021 (E)Arrhenius theory
  30. 301 . 22 g of an organic acid is separately dissolved in 100 g of benzene K b = 2 . 6 K kg mol - 1 and 100 g of acetone K b = 1 . 7 K kg mol -31 Aug, 2021 (E)Colligative Properties and Abnormal Molecular Masses

Mathematics

  1. 1An angle of intersection of the curves, x 2 a 2 + y 2 b 2 = 1 and x 2 + y 2 = a b , a b , is :31 Aug, 2021 (E)Tangent Normal
  2. 2If y d y d x = x y 2 x 2 + y 2 x 2 y 2 x 2 , x 0 , 0 , and y ( 1 ) = - 1 , then y 2 4 is equal to:31 Aug, 2021 (E)Homogeneous DE
  3. 3Let S = { 1 , 2 , 3 , 4 , 5 , 6 } . Then the probability that a randomly chosen onto function g from S to S satisfies g 3 = 2 g 1 is :31 Aug, 2021 (E)Classical Definition of Probability
  4. 4Negation of the statement ( p r ) ( q r ) is :31 Aug, 2021 (E)Mathematical Reasoning
  5. 5Let a , b , c be three vectors mutually perpendicular to each other and have same magnitude. If a vector r satisfies a { r - b a } + b { r -31 Aug, 2021 (E)Vector Triple Product
  6. 6Let A be the set of all points , such that the area of triangle formed by the points 5 , 6 , 3 , 2 and , is 12 square units. Then the least 31 Aug, 2021 (E)Coordinate System
  7. 7If d y d x = 2 x y + 2 y 2 x 2 x + 2 x + y log e 2 , y 0 = 0 , then for y = 1 , the value of x lies in the interval :31 Aug, 2021 (E)Variable Separable Form
  8. 8The mean and variance of 7 observations are 8 and 16 respetively. If two observations are 6 and 8 , then the variance of the remaining 5 obs31 Aug, 2021 (E)Measures of Dispersion
  9. 9If z is a complex number such that z - i z - 1 is purely imaginary, then the minimum value of | z - ( 3 + 3 i ) | is :31 Aug, 2021 (E)Conjugate, modulus and argument
  10. 10Let f : N N be a function such that f m + n = f m + f n for every m , n N . If f 6 = 18 then f 2 f 3 is equal to :31 Aug, 2021 (E)Functional Equation
  11. 11If = lim x / 4 tan 3 x - tan x cos x + 4 and = lim x 0 cos x cot x are the roots of the equation, a x 2 + b x - 4 = 0 , then the ordered pai31 Aug, 2021 (E)Special Forms
  12. 12The domain of the function, f x = sin - 1 3 x 2 + x - 1 ( x - 1 ) 2 + cos - 1 x - 1 x + 1 is:31 Aug, 2021 (E)Domain
  13. 13Let f be any continuous function on 0 , 2 and twice differentiable on 0 , 2 . If f 0 = 0 , f 1 = 1 and f 2 = 2 , then :31 Aug, 2021 (E)Mean Value Theorem
  14. 14If + + = 2 , then the system of equations x + cos y + cos z = 0 cos x + y + cos z = 0 cos x + cos y + z = 0 has :31 Aug, 2021 (E)System of Linear Equations
  15. 15The locus of mid-points of the line segments joining - 3 , - 5 and the points on the ellipse x 2 4 + y 2 9 = 1 is :31 Aug, 2021 (E)Locus
  16. 16The sum of the roots of the equation, x + 1 - 2 log 2 3 + 2 x + 2 log 4 10 - 2 - x = 0 , is :31 Aug, 2021 (E)Logarithm
  17. 17Let a 1 , a 2 , a 3 , be an A.P. If a 1 + a 2 + + a 10 a 1 + a 2 + + a p = 100 p 2 , p 10 , then a 11 a 10 is equal to :31 Aug, 2021 (E)Arithmetic Progression
  18. 18If x is the greatest integer x , then 2 0 2 sin x 2 x - x [ x ] d x is equal to :31 Aug, 2021 (E)Properties of Definite Integration
  19. 19The distance of the point ( - 1 , 2 , - 2 ) from the line of intersection of the planes 2 x + 3 y + 2 z = 0 and x - 2 y + z = 0 is :31 Aug, 2021 (E)Plane in Space
  20. 20If sin x sin 3 x + cos 3 x d x = log e | 1 + tan x | + log e 1 - tan x + tan 2 x + tan - 1 2 tan x - 1 3 + C , when C is constant of integra31 Aug, 2021 (E)Integration by Substitution
  21. 21Let B be the centre of the circle x 2 + y 2 - 2 x + 4 y + 1 = 0 . Let the tangents at two points P and Q on the circle intersect at the poin31 Aug, 2021 (E)Pair of Tangents
  22. 22If the coefficient of a 7 b 8 in the expansion of ( a + 2 b + 4 a b ) 10 is K 2 16 , then K is equal to31 Aug, 2021 (E)Multinomial Theorem
  23. 23Let f x be a cubic polynomial with f 1 = - 10 , f - 1 = 6 , and has a local minima at x = 1 , and f ' x has a local minima at x = - 1 . Then31 Aug, 2021 (E)Maxima Minima
  24. 24The number of elements in the set { A = a b 0 d : a , b , d { - 1 , 0 , 1 } and ( I - A ) 3 = I - A 3 }, where I is 2 2 identity matrix, is 31 Aug, 2021 (E)Product of Matrices
  25. 25A tangent line L is drawn at the point 2 , - 4 on the parabola y 2 = 8 x . If the line L is also tangent to the circle x 2 + y 2 = a , then 31 Aug, 2021 (E)Common Tangent
  26. 26The number of 4 -digit numbers which are neither multiple of 7 nor multiple of 3 is .31 Aug, 2021 (E)Permutation
  27. 27If S = 7 5 + 9 5 2 + 13 5 3 + 19 5 4 + , then 160 S is equal to .31 Aug, 2021 (E)Arithmetic Geometric Progression
  28. 28Suppose the line x - 2 = y - 2 - 5 = z + 2 2 lies on the plane x + 3 y - 2 z + = 0 . Then ( + ) is equal to .31 Aug, 2021 (E)Line and Plane
  29. 29If the line y = m x bisects the area enclosed by the lines x = 0 , y = 0 , x = 3 2 and the curve y = 1 + 4 x - x 2 , then 12 m is equal to .31 Aug, 2021 (E)Area bounded by Miscellaneous Curves
  30. 30The number of solutions of the equation 32 tan 2 x + 32 sec 2 x = 81 , 0 x 4 is :31 Aug, 2021 (E)N degree equation

Physics

  1. 1Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the gases are same. The 31 Aug, 2021 (E)Matter Waves
  2. 2A coil is placed in a magnetic field B as shown below : A current is induced in the coil because B is :31 Aug, 2021 (E)Magnetic Flux, Faraday's and Lenz law
  3. 3Statement I: If three forces F 1 , F 2 and F 3 are represented by three sides of a triangle and F 1 + F 2 = - F 3 , then these three forces 31 Aug, 2021 (E)Addition and Subtraction of Vectors
  4. 4Two thin metallic spherical shells of radii r 1 and r 2 r 1 r 2 are placed with their centres coinciding. A material of thermal conductivity31 Aug, 2021 (E)Thermal Expansion
  5. 5The equivalent resistance of the given circuit between the terminals A and B is :31 Aug, 2021 (E)Resistance and Resistivity
  6. 6If V A and V B are the input voltages (either 5 V or 0 V ) and V 0 is the output voltage then the two gates represented in the following cir31 Aug, 2021 (E)Diodes
  7. 7A system consists of two identical spheres each of mass 1 . 5 kg and radius 50 cm at the ends of a light rod. The distance between the centr31 Aug, 2021 (E)Moment of inertia of rigid bodies
  8. 8A current of 1 . 5 A is flowing through a triangle, of side 9 cm each. The magnetic field at the centroid of the triangle is : (Assume that 31 Aug, 2021 (E)Biot-Savart's Law and Ampere's Circuital Law
  9. 9Choose the incorrect statement: (a) The electric lines of force entering into a Gaussian surface provide negative flux. (b) A charge q is pl31 Aug, 2021 (E)Electric Field and Electric Field Lines
  10. 10Statement I : To get a steady DC output from the pulsating voltage received from a full wave rectifier we can connect a capacitor across the31 Aug, 2021 (E)Rectifier
  11. 11If velocity V time T and force F are chosen as the base quantities, the dimensions of the mass will be :31 Aug, 2021 (E)Dimensions
  12. 12A bob of mass m suspended by a thread of length undergoes simple harmonic oscillations with time period T . If the bob is immersed in a liqu31 Aug, 2021 (E)Simple Harmonic Motion
  13. 13The magnetic field vector of an electromagnetic wave is given by B = B 0 i ^ + j ^ 2 cos k z - t where i ^ , j ^ represents unit vector alon31 Aug, 2021 (E)Electromagnetic Waves and Maxwell's equations
  14. 14A mixture of hydrogen and oxygen has volume 500 cm 3 , temperature 300 K , pressure 400 k Pa and mass 0 . 76 g . The ratio of masses of oxyg31 Aug, 2021 (E)Pressure and Energy of gas
  15. 15For a body executing S.H.M. : (a) Potential energy is always equal to its K . E . (b) Average potential and kinetic energy over any given ti31 Aug, 2021 (E)Energy of Simple Harmonic Motion
  16. 16If R E be the radius of Earth, then the ratio between the acceleration due to gravity at a depth r below and a height r above the earth surf31 Aug, 2021 (E)Acceleration Due to Gravity
  17. 17Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 10 3 kg . The inner and outer radii of each colum31 Aug, 2021 (E)Young's Modulus and Breaking Stres
  18. 18Statement-I : Two forces P + Q and P - Q where P Q , when act at an angle 1 each other, the magnitude of their resultant is 3 P 2 + Q 2 , wh31 Aug, 2021 (E)Addition and Subtraction of Vectors
  19. 19A free electron of 2 . 6 eV energy collides with a H + ion. This results in the formation of a hydrogen atom in the first excited state and 31 Aug, 2021 (E)Atomic Spectrum
  20. 20A block moving horizontally on a smooth surface with a speed of 40 m s - 1 splits into two parts with masses in the ratio of 1 : 2 . If the 31 Aug, 2021 (E)Energy
  21. 21A resistor dissipates 192 J of energy in 1 s when a current of 4 A is passed through it. Now, when the current is doubled, the amount of the31 Aug, 2021 (E)Electric Power and Heating Effect of Current
  22. 22A long solenoid with 1000 turns m - 1 has a core material with relative permeability 500 and volume 10 3 cm 3 . If the core material is repl31 Aug, 2021 (E)Magnetic Moment
  23. 23In a Young s double slit experiment, the slits are separated by 0 . 3 mm and the screen is 1 . 5 m away from the plane of slits. Distance be31 Aug, 2021 (E)Youngs Double Slit Experiment
  24. 24A sample of gas with = 1 . 5 is taken through an adiabatic process in which the volume is compressed from 1200 cm 3 to 300 cm 3 . If the ini31 Aug, 2021 (E)Thermodynamic Processes
  25. 25A particle is moving with constant acceleration a . Following graph shows v 2 versus x (displacement) plot. The acceleration of the particle31 Aug, 2021 (E)Graphs of motion in one dimension
  26. 26Cross-section view of a prism is the equilateral triangle A B C shown in the figure. The minimum deviation is observed using this prism when31 Aug, 2021 (E)Prism and Dispersion of Light
  27. 27A parallel plate capacitor of capacitance 200 F is connected to a battery of 200 V . A dielectric slab of dielectric constant 2 is now inser31 Aug, 2021 (E)Force and Energy stored in capacitor
  28. 28The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the vernier callipers, are equal to31 Aug, 2021 (E)Experimental Physics
  29. 29At very high frequencies, the effective impedance of the given circuit will be _________ .31 Aug, 2021 (E)Alternating Current, Voltage and Power
  30. 30A bandwidth of 6 MHz is available for A . M . transmission. If the maximum audio signal frequency used for modulating the carrier wave is no31 Aug, 2021 (E)Communication System

Frequently Asked Questions

1.How many questions are in the JEE Main 2021 31st August 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 31st August 2021 evening shift.

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

The JEE Main 2021 31st August Morning Shift paper is listed separately - you can switch to it from the "JEE Main Paper Wise PYQs" panel, under JEE Main 31st August 2021.

5.What is the structure of the JEE Main 2021 31st August Evening Shift paper?

The JEE Main 2021 31st August 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 31st August Evening Shift paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 33 (37%) are easy, 46 (51%) are medium and 11 (12%) are hard. Subject wise:

  • Chemistry: 12 easy, 14 medium, 4 hard
  • Mathematics: 10 easy, 17 medium, 3 hard
  • Physics: 11 easy, 15 medium, 4 hard
7.Which chapters had the most questions in the JEE Main 2021 31st August Evening Shift paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (3), Aldehydes and Ketones (2), and Hydrocarbons (2).
  • Mathematics: Application of Derivatives (3), Differential Equations (2), and Functions (2).
  • Physics: Current Electricity (2), Magnetic Effects of Current (2), and Mathematics in Physics (2).
8.Are there any out-of-syllabus questions in the JEE Main 2021 31st August 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 31st August 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 31st August 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 31st August 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.