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WBJEE 2021

Browse the complete Chemistry, Mathematics, and Physics question set from the WBJEE 2021 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 paper as a PDF.

This paper has 155 questions in total - 67 easy (43%), 74 moderate (48%) and 14 tough (9%). That's an easier-than-usual mix for this exam - aim to clear it quickly and save time for the harder papers. By subject: Mathematics 37% easy, 51% moderate, 12% tough; Physics 55% easy, 40% moderate, 5% tough; Chemistry 43% easy, 50% moderate, 8% tough.

Chemistry questions were spread across 27 chapters, with Ionic Equilibrium (5), Chemical Bonding and Molecular Structure (3), and Coordination Compounds (3) carrying the most weight. Mathematics questions were spread across 25 chapters, with Definite Integration (8), Application of Derivatives (7), and Functions (6) carrying the most weight. Physics questions were spread across 24 chapters, with Electrostatics (4), Magnetic Effects of Current (3), and Alternating Current (2) carrying the most weight.

Chemistry

  1. 1The exact order of acidity of the compounds p-nitrophenol, acetic acid, acetylene and ethanol is2021Conjugation and Aromaticity
  2. 2The relationship between the pair of compounds shown above are respectively2021Isomerism of Organic Compounds
  3. 3The compounds A and B are respectively2021Chemical reactions for aldehydes and ketones
  4. 41. 2. 3. 4. The dipeptides which may be obtained from the aminoacids glycine and alanine are2021Nucleic Acids
  5. 5A given amount of is oxidized by mol of in acidic medium. The number of moles of required to oxidize the same amount of in acidic medium is2021Compounds of Transition Metals
  6. 6An element crystallizes in a body centred cubic lattice. The edge length of the unit cell is and the density of the element is . Calculate t2021Cubic system
  7. 7Molecular velocities of two gases at the same temperature are and Their masses are and respectively. Which of the following expressions is c2021Mixture of gases
  8. 8For a spontaneous reaction at all temperatures which of the following is correct?2021Third law of thermodynamics
  9. 9The equilibrium constant for the reaction is at . In presence of a catalyst the equilibrium is attained 10 times faster. Therefore, the equi2021Le chatelier's principle
  10. 10Under the same reaction conditions, initial concentration of of a substance becomes half in and 20 s through first-order and zero-order kine2021Rate law and rate constant
  11. 11Which one of the following solutions will have highest conductivity?2021Theories of Acids and Bases
  12. 12When of naphthoic acid is dissolved in of benzene, a freezing point depression of is observed. The vant Hoff factor (i) is2021Colligative Properties and Abnormal Molecular Masses
  13. 13of weak monoacidic base at is titrated with in water at . The concentration of at equivalence point is , at ,2021PH of solutions
  14. 14Solubility products of the salts of types and at temperature are and respectively. Solubilities (in ) of the salts at temperature are in the2021Solubility
  15. 15The reduction potential of hydrogen half-cell will be negative if2021Cells and Electrode Potential, Nernst Equation
  16. 16Indicate the products and in the following reactions:2021Balancing of redox reactions
  17. 17A solution is made by a concentrated solution of with a concentrated solution of in acetic acid. A solution of a salt containing metal is ad2021Stability of complex ion
  18. 18Extraction of a metal ( ) from its sulfide ore involves the following chemical reactions: The metal (M) may be2021Extraction of Metals
  19. 19The white precipitate , obtained on passing colourless and odourless gas through an ammoniacal solution of , loses about of its weight on he2021Compounds of Alkali Metals
  20. 20A saturated solution of at is . The solubility of in at this temperature will be2021Solubility
  21. 21The ion has the following shape2021Hybridisation and VSEPR Theory
  22. 22For the reaction \(14 N+ {}^{17} O+p\), Mass equivalent of energy is absorbed. Mass on the reactant side is amu and proton mass . The atomic2021Atomic Mass and Atomic Size
  23. 23A solution of , when treated with a mixture of dust and ' ' yields ammonia. ' ' can be2021Nitrogen and Its Compounds
  24. 24Indicate the number of unpaired electrons in and2021Crystal Field Theory
  25. 25Which of the following compounds have magnetic moment identical with2021Crystal Field Theory
  26. 26Which structure has delocalised -electrons?2021Covalent and Co-ordinate Bonding
  27. 27The maximum number of atoms that can be in one plane in the molecule p-nitrobenzonitrile are2021Hybridisation and VSEPR Theory
  28. 28Cyclo [18] carbon is an allotrope of carbon with molecular formula . It is a ring of 18 carbon atoms, connected by single and triple bonds. 2021Carbon and Its Compounds
  29. 29p-nitro-N, N - dimethylaniline cannot be represented by the resonating structures2021Preparation and Properties of Amines
  30. 30The exact order of boiling points of the compounds -pentane, isopentane, butanone and 1 -butanol is2021Properties and Preparation of Alkanes
  31. 31The products and which are formed in the following sequence of reactions are respectively2021Reactions of Phenol
  32. 32The atomic masses of helium and neon are and amu respectively. The value of the de Broglie wavelength of helium gas at is times the de Brogl2021Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  33. 33The mole fraction of a solute in a binary solution is At , molarity of this solution is same as as its molality. Density of this solution at2021Concentration terms
  34. 34of sodium vapour is converted to sodium ion. If the ionisation energy of sodium is and atomic weight is 23 units, the amount of energy neede2021Periodic properties
  35. 35Among the following chlorides the compounds which will be hydrolysed most easily and most slowly in aqueous solution are respectively. 1.Met2021Preparation and Properties of Monohalides
  36. 36The compounds and are respectively2021Preparation and Properties of Amides
  37. 37Aqueous solution of and of identical concentration are provided. The pair (s) of solutions which form a buffer upon mixing is (are)2021Buffer solutions
  38. 38Reaction of silver nitrate solution with phosphorous acid produces:2021Phosphorus and Its Compounds
  39. 39and show similarity in2021Preparation and Properties of Hydrogen Peroxide
  40. 40The product (s) in the following sequence of reactions will be Product (s)2021Isomerism of Organic Compounds

Mathematics

  1. 1The straight line through the origin which divides the area formed by the curves and into two equal halves is2021Area of Curve along axis
  2. 2The value of is2021Miscellaneous
  3. 3If , then is equal to2021Variable Separable Form
  4. 4Two particles and move from rest along a straight line with constant accelerations and ' respectively. If takes sec. more than that of and d2021Rate Measure Error and Approximation
  5. 5A bulb is placed at the centre of a circular track of radius . A vertical wall is erected touching the track at a point P. A man is running 2021Rate Measure Error and Approximation
  6. 6Let be given by . then2021Maxima Minima
  7. 7Let be three non-zero vectors which are pairwise non-collinear. If is collinear with and is collinear with , then is2021Algebra of Vectors
  8. 8Consider the real valued function such that and satisfying for every Then the value of is2021Arithmetic Progression
  9. 9Let be real numbers, each greater than 1 , such that . If the value of is 9 , then the value of ' ' must be2021Means
  10. 10Let denote the set of all complex numbers. Define and and . Then2021Conjugate, modulus and argument
  11. 11Let be the roots of the equation with . If for , then the value of is2021Relation between Roots and Coefficients
  12. 12If and , then all the points representing lie on;2021De Moivres Theorem
  13. 13Five letter words, having distinct letters, are to be constructed using the letters of the word 'EQUATION' so that each word contains exactl2021Permutation
  14. 14What is the number of ways in which an examiner can assign 10 marks to 4 questions, giving not less than 2 marks to any questions?2021Division of Identical items
  15. 15The digit in the unit's place of the number is2021Factorial
  16. 16For , if , then is equal to2021Terms of Binomial Expansion
  17. 17Let Let be the roots of , where denotes the identity matrix. If , then the set of possible values of is2021Expansion of Determinants
  18. 18Let and be two non-singular skew symmetric matrices such that , then is equal to2021Inverse of a Matrix
  19. 19If is a matrix such that , then is equal to2021Product of Matrices
  20. 20Let be three non-void subsets of set . Let where denote the complement of set in S. Then2021Questions on number of relations and sets
  21. 21Let be the set of all orthogonal matrices of order 3 over the set of all non-singular matrices of order 3 over respectively Let , then2021Types of Function (Mapping)
  22. 22If be the term of a G.P. then is equal to2021Expansion of Determinants
  23. 23The mean and variance of a binomial distribution are 4 and 2 respectively. Then the probability of exactly two succsses is2021Bernoulli Trial and Binomial Distribution
  24. 24Let to term. Then is2021Trigonometric and Inverse Trigonometric limits
  25. 25Four persons and throw an unbiased die, turn by turn in succession till one gets an even number and win the game. What is the probability th2021Classical Definition of Probability
  26. 26Let be the point and be a moving point on -axis. Let be the midpoint of and let the perpendicular bisector of meets the -axis at . The locus2021Locus
  27. 27A moving line intersects the lines and at the points A, B respectively such that the area of the triangle with vertices has a constant area 2021Locus
  28. 28If then the maximum area of the parallelogram whose three vertices are and is2021Coordinate System
  29. 29A ray of light along gets reflected upon reaching -axis, the equation of the reflected ray is2021Basic Forms of Straight Line
  30. 30Two tangents to the circle at the points and meet at . The area of the quadrilateral MAOB, where is the origin is2021Coordinate System
  31. 31From a point three normals are drawn to the parabola then2021Normal to Parabola
  32. 32The locus of the vertices of the family of parabolas is2021Locus
  33. 33The co-ordinate of a point on the auxiliary circle of the ellipse corresponding to the point on the ellipse whose eccentric angle is will be2021Auxillary Circle
  34. 34The locus of the center of a variable circle which always touches two given circles externally is2021Locus
  35. 35A line with positive direction cosines passes through the point and makes equal angle with co-ordinate axes. The line meets the plane at poi2021Line and Plane
  36. 36If from a point , perpendiculars and are drawn to and planes respectively, then the equation of the plane is2021Plane in Space
  37. 37is real valued function such that for all . Then2021Defintion of Function
  38. 38Consider the functions . The graphs of the functions intersect.2021Range
  39. 39For , if then2021Differentiation of Inverse Trigonometric Functions
  40. 40Let where be defined by . Then,2021Mean Value Theorem
  41. 41The equation has2021Graph and Sign of Quadratic
  42. 42Let be such that and for all . Then is in2021Domain
  43. 43If , then2021Integration by Substitution
  44. 44If , then limit2021Exponential and logarithmic limits
  45. 45Preview not available - open to view this question.2021Properties of Definite Integration
  46. 46The value of the integral is equal to2021Properties of Definite Integration
  47. 47Let where and be continuous function and , then2021Monotonicity
  48. 48The normal to a curve at meets the -axis at . If the distance of from the origin is twice the abscissa of then the curve is2021Equation of hyperbola
  49. 49The differential equation of all the ellipses centred at the origin and have axes as the co-ordinate axes is2021Formation of Differential Equation
  50. 50If then the value of is2021Definite Integration by Substitution
  51. 51The equals2021Special Forms
  52. 52The area bounded by the parabolas and the straight line is2021Area bounded by two curves
  53. 53Given that is said to have a fixed point at of if . Let be defined by . Then2021Domain
  54. 54If the tangent at the point with co-ordinates on the curve is perpendicular to the straight line , then2021Tangent Normal
  55. 55If , where are non-zero scalars, then the vectors are2021Algebra of Vectors
  56. 56Three unequal positive numbers a, b, c are such that a, b, c are in G.P. while are in A.P. Then are the lengths of the sides of2021Mixed Question on AP and GP
  57. 57The co-efficient of in the expansion of is2021Multinomial Theorem
  58. 58Let be the real line. Let the relations and on be defined by is an integer . Then2021Questions on Symmetric Transitive and Reflexive Properties
  59. 59The determinant is2021Expansion of Determinants
  60. 60The points of intersection of two ellipses and lie on a circle. The centre of the circle is2021Position of point
  61. 61Let . Then2021Properties Involving Inequalities
  62. 62The plane is rotated about its line of intersection with the plane through an angle . The equation changes to2021Plane in Space
  63. 63If , then is2021Definite Integration by Substitution
  64. 64The differential of at and for is2021Differentiation of composite functions
  65. 65Let be a continuous periodic function with period . Let . Then2021Properties of Periodic Functions
  66. 66A plane meets the co-ordinate axes at the points respectively in such a way that the centroid of is for some real . If the plane passes thro2021Coordinate System
  67. 67Let be a variable point on a circle and be a fixed point outside . If is the midpoint of the line segment , then locus of is2021Locus
  68. 68is2021Algebraic and Rational Limits
  69. 69Whichever of the following is/are correct?2021Definite Integration by Substitution
  70. 70The greatest and least values of on are2021Maxima Minima
  71. 71Let and be periodic functions with the periods and respectively. Then is2021Periodicity
  72. 72and let , then2021Continuity
  73. 73is true for2021Expansion of Determinants
  74. 74The remainder when times 7 is divided by 48 is2021Remainder and Divisibility Problems
  75. 75If for a complex number , then2021Geometry of Complex Number

Physics

  1. 1What is the value of current through the diode in the circuit given?2021Diodes
  2. 2For the given logic circuit, the output for inputs and respectively are2021Logic gates
  3. 3Let be the radius of orbit, speed of electron and total energy of electron respectively in a -atom. Which of the following quantities accord2021Bohr's Atomic Model
  4. 4Three blocks are pushed with a force across a frictionless table as shown in figure. Let be the contact force between the left two blocks an2021Newton's laws of motion
  5. 5A block of mass slides with speed on a frictionless table towards another stationary block of mass . A massless spring with spring constant 2021Energy
  6. 6From dimensional analysis, the Rydberg constant can be expressed in terms of electric charge (e), mass (m) and Planck constant ( ) as consid2021Dimensions
  7. 7A simple pendulum, consisting of a small ball of mass attached to a massless string hanging vertically from the ceiling, is oscillating with2021Non-uniform Circular Motion
  8. 8In case of projectile motion, which one of the following figures represent variation of horizontal component of velocity with time (assume t2021Projectile motion
  9. 9The acceleration vs distance graph for a particle moving with initial velocity is shown in the fiture. The velocity of the particle at will 2021Non-uniform Motion
  10. 10Centre of mass (C.M.) of three particles of masses and lies at the point and C.M. of another system of particles of and lies at the point . 2021Centre of mass of discrete particles
  11. 11A body of density is dropped from rest from a height into a liquid of density . Neglecting all dissipative effects, the maximum depth to whi2021Energy
  12. 12A uniform thin rod of length , mass is lying on a smooth horizontal table. A horizontal impulse is suddenly applied perpendicular to the rod2021Angular momentum and Angular impulse
  13. 13In the given figure, 1 represents isobaric, 2 represents isothermal and 3 represents adiabatic processes of an ideal gas. If be the changes 2021Thermodynamic Processes
  14. 14If pressure of real gas in a container is given by , then the mass of the gas in the container is2021Gas Laws
  15. 15Two solid spheres and of same uniform density fall from rest under gravity in a viscous medium and after some time, reach terminal velocitie2021Viscosity
  16. 16The variation of electric field along the -axis due to a uniformly charged circular ring of radius ' ' in plane is shown in the figure. The 2021Electric Field and Electric Field Lines
  17. 17A metal sphere of radius carrying charge is surrounded by a thick concentric metal shell of inner and outer radii a and respectively. The ne2021Electric Potential and Potential Energy
  18. 18of water at is added to of ice at . The final temperature of the mixture is2021Calorimetry
  19. 19Two point charges and are placed a finite distance ' ' apart. It is desired to put a third charge in between these two charges so that is in2021Electric Charge and Coulomb's law
  20. 20Consider two infinitely long wires parallel to Z-axis carrying same current I in the positive Z direction. One wire passes through the point2021Magnetic Field
  21. 21Three infinite plane sheets carrying uniform charge densities are placed parallel to plane at , 4a respectively. The electric field at the p2021Electric Flux and Gauss Law
  22. 22For two types of magnetic materials and , variation of ( susceptibility) vs. temperature is shown in the figure. Then2021Magnetism and Properties of Magnet
  23. 23The rms value of potential difference shown in the figure is2021Alternating Current, Voltage and Power
  24. 24A thin charged rod is bent into the shape of a small circle of radius the charge per unit length of the rod being . The circle is rotated ab2021Magnetic Field
  25. 25Consider a pure inductive A.C. circuit as shown in the figure. If the average powr consumed is , then2021Alternating Current, Voltage and Power
  26. 26The cross-section of a reflecting surface is represented by the equation as shown in the figure. A ray travelling in the positive direction 2021Mirror Formula, Reflection in Spherical Mirror
  27. 27A carbon resistor with colour code is shown in the figure. There is no fourth band in the resistor. The value of the resistance is2021Color coding of resistors
  28. 28In Young's double slit experiment, light of wavelength passes through the double-slit and forms interference fringes on a screen away. If th2021Youngs Double Slit Experiment
  29. 29A ev electron beam is used to bombard gaseous hydrogen at ground state. The energy level upto which the hydrogen atoms would be excited is2021Bohr's Atomic Model
  30. 30A spherical convex surface of power 5 dioptre separates object and image space of refractive indices and respectively. The radius of curvatu2021Lens Formula, Refraction of light from curved surface
  31. 31Two metal wires of identical dimensions are connected in series. If and are the electrical conductivities of the metal wires respectively, t2021Resistance and Resistivity
  32. 32A uniform rod of length pivoted at one end is freely rotated in a horizontal plane with an angular velocity about a vertical axis passing th2021Angular momentum and Angular impulse
  33. 33An ideal gas of molar mass is contained in a very tall vertical cylindrical column in the uniform gravitational field. Assuming the gas temp2021Centre of mass of discrete particles
  34. 34Under isothermal conditions, two soap bubbles of radii a and b coalesce to form a single bubble of radius c. If the external pressure is , t2021Surface tension
  35. 35For a plane eletromagnetic wave, the electric field is given by The corresponding magnetic field will be2021Electromagnetic Waves and Maxwell's equations
  36. 36Electric field component of an EM radiation varies with time as , where ' ' is a constant and . This radiation falls on a metal whose stoppi2021Photoelectric Effect
  37. 37Consider the P-V diagram for 1 mole of an ideal monatomic gas shown in the figure. Which of the following statements is/are true?2021First Law of Thermodynamics
  38. 38The potential energy of a particle of mass moving along -axis is given by where is in metres and is a constant. Which of the following is/ar2021Simple Harmonic Motion
  39. 39A particle of mass and charge moving with velocity enters region-b form region-a along the normal to the boundary as shown is the figure. Re2021Motion of Charged Particle in Magnetic Field
  40. 40A small bar magnet of dipole moment is moving with speed along direction towards a small closed circular conducting loop of radius ' ' with 2021Motional and Rotational EMF

Frequently Asked Questions

1.How many questions are in the WBJEE 2021 paper?

This paper has 155 questions in total - 40 from Chemistry, 75 from Mathematics, and 40 from 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 paper.

3.What is the structure of the WBJEE 2021 paper?

The WBJEE 2021 paper on MARKS has 155 questions, organised by subject:

  • Chemistry: 40 questions - 35 single-correct and 5 multiple-correct.
  • Mathematics: 75 questions - 65 single-correct and 10 multiple-correct.
  • Physics: 40 questions - 35 single-correct and 5 multiple-correct.
4.What is the difficulty level of the WBJEE 2021 paper?

Each question on MARKS carries a difficulty rating. Of the 155 rated questions in this paper, 67 (43%) are easy, 74 (48%) are medium and 14 (9%) are hard. Subject wise:

  • Chemistry: 17 easy, 20 medium, 3 hard
  • Mathematics: 28 easy, 38 medium, 9 hard
  • Physics: 22 easy, 16 medium, 2 hard
5.Which chapters had the most questions in the WBJEE 2021 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Ionic Equilibrium (5), Chemical Bonding and Molecular Structure (3), and Coordination Compounds (3).
  • Mathematics: Definite Integration (8), Application of Derivatives (7), and Functions (6).
  • Physics: Electrostatics (4), Magnetic Effects of Current (3), and Alternating Current (2).
6.Where can I find the solutions for the WBJEE 2021 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 paper is coming soon.

7.How should I use the WBJEE 2021 paper to check my preparation?

Set a timer, attempt the 155 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 WBJEE. Repeating this with other papers shows whether the same weak spots keep coming back.

8.Will the WBJEE 2021 paper help me prepare for WBJEE 2027?

Yes. Every past paper shows the question styles and topics WBJEE 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.