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WBJEE 2012

Browse the complete Chemistry, Mathematics, and Physics question set from the WBJEE 2012 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 160 questions in total - 73 easy (46%), 69 moderate (43%) and 18 tough (11%). 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 44% easy, 43% moderate, 14% tough; Physics 45% easy, 48% moderate, 8% tough; Chemistry 50% easy, 40% moderate, 10% tough.

Chemistry questions were spread across 16 chapters, with General Organic Chemistry (8), Chemical Bonding and Molecular Structure (4), and Alcohols Phenols and Ethers (3) carrying the most weight. Mathematics questions were spread across 28 chapters, with Sequences and Series (7), Definite Integration (5), and Straight Lines (5) carrying the most weight. Physics questions were spread across 23 chapters, with Current Electricity (5), Electrostatics (3), and Waves and Sound (3) carrying the most weight.

Chemistry

  1. 1Li occupies higher position in the electrochemical series of metals as compared to Cu since2012Cells and Electrode Potential, Nernst Equation
  2. 2^{24}$ is radioactive and it decays to2012Parallel and Sequencial rate laws
  3. 3The paramagnetic behaviour of is due to the presence of2012Molecular Orbital Theory
  4. 4A mL, solution of ammonium acetate is diluted by adding of water. The pH of the resulting solution will be of acetic acid is nearly equal to2012Salt Hydrolysis
  5. 5In 2 -butene, which one of the following statements is true?2012Covalent and Co-ordinate Bonding
  6. 6The well known compounds, lactic acid and lactic acid, have the same molecular formula, . The correct relationship between them is2012Isomerism of Organic Compounds
  7. 7The stability of Me is more than that of due to2012Conjugation and Aromaticity
  8. 8Which one of the following characteristics belongs to an electrophile?2012Attacking reagents
  9. 9Which one of the following methods is used to prepare Me COEt with a good yield?2012Preparation of Ethers
  10. 10of and of glucose were separately dissolved in of water. Identify the correct statement regarding the elevation of boiling point (b.p) of th2012Colligative Properties and Abnormal Molecular Masses
  11. 11Equal weights of and are mixed in an empty container at . the fraction of the total pressure exerted by is2012Mole concept
  12. 12Which of the following will show a negative deviation from Raoult's law?2012Vapour pressure and raoult's law
  13. 13In a reversible chemical reaction at equilibrium, if the concentration of any one of the reactants is doubled, then the equilibrium constant2012Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  14. 14Identify the correct statement from the following in a chemical reaction.2012Third law of thermodynamics
  15. 15Which one of the following is wrong about molecularity of a reaction?2012Rate of reaction
  16. 16Which of the following does not represent the mathematical expression for the Heisenberg uncertainty principle?2012Dual Behaviour of Matter and Heisenberg Uncertainty Principle
  17. 17The stable bivalency of and trivalency of is2012Periodic properties
  18. 18The equivalent weight of in acidic medium is expressed in terms of its molecular weight (M) as2012Compounds of Transition Metals
  19. 19Which of the following is correct?2012Earlier attempts of periodic classification
  20. 20CO is practically non-polar since2012Molecular Orbital Theory
  21. 21The number of acidic protons in are2012Theories of Acids and Bases
  22. 22When is shaken with an acidified solution of in the presence of ether, the cthereal layer turns blue due to the formation of2012Compounds of Transition Metals
  23. 23The state of hybridization of the central atom and the number of lone pairs over the central atom in are2012Hybridisation and VSEPR Theory
  24. 24Upon treatment with and aqueous , which of the following compounds will form iodoform?2012Preparation of Ethers
  25. 25Upon treatment with Al(OEt) followed by usual reactions (work up), CH will produce2012Chemical reactions for aldehydes and ketones
  26. 26Friedel-Craft's reaction using MeCl and anhydrous AlCl will take place most efficiently with2012Attacking reagents
  27. 27Which one of the following properties is exhibited by phenol?2012Preparation and Properties of Alcohols
  28. 28The basicity of aniline is weaker in comparison to that of methyl amine due to2012Conjugation and Aromaticity
  29. 29Under identical conditions, the reaction will occur most efficiently with2012Reaction Intermediates
  30. 30Identify the method by which can be prepared.2012Mole concept
  31. 31(N) acetic acid is mixed with solution of NaOH. The pH of the resulting solution is of acetic acid is2012Buffer solutions
  32. 32In the brown ring complex nitric oxide behaves as2012Stability of complex ion
  33. 33The most contributing tautomeric enol form of is2012Isomerism of Organic Compounds
  34. 34By passing excess in boiling toluene, which one of the following compounds is exclusively formed?2012Reactions of aromatic compounds
  35. 35An equimolar mixture of toluene and chlorobenzene is treated with a mixture of conc. and conc. . Indicate the correct statement from the fol2012Reactions of aromatic compounds
  36. 36Among the following carbocations : (I) \( {Ph}_{2} {+}{ {C}} {CH}_{2} {Me}( {II}) {Ph} {CH}_{2} {CH}_{2} {+}{ {C}} {HPh}\) (III) \( {Ph}_{2}2012Reaction Intermediates
  37. 37Which of the following is correct?2012Entropy and Second law of thermodynamics
  38. 38On passing 'C ampere of current for time 't' sec through 1 L of 2 (M) solution (atomic weight of ), the amount of Cu (in gram) deposited on 2012Cells and Electrode Potential, Nernst Equation
  39. 39If the first ionization energy of atom is then the second ionization energy of He atom is2012Bohr's model
  40. 40The weight of oxalic acid that will be required to prepare a solution is2012Mole concept

Mathematics

  1. 1If and are the roots of the equation where and are real, then the roots of the equation are2012Relation between Roots and Coefficients
  2. 2The number of solutions of the equation is2012Logarithm
  3. 3is equal to2012Sum of Series
  4. 4The value of2012Sum of Series
  5. 5If , then the value of the determinant of is2012Product of Matrices
  6. 6The remainder obtained when is divided by 15 is2012Mathematical Induction
  7. 7If and are angles of , then the value of is equal to2012Expansion of Determinants
  8. 8The number of real values of for which the system of equations has infinite number of solutions is2012System of Linear Equations
  9. 9The total number of injections (one-one into mappings) from is2012Types of Function (Mapping)
  10. 10Let and If and then is equal to2012Sum of Series
  11. 11Two decks of playing cards are well shuffled and 26 cards are randomly distributed to a player. Then, the probability that the player gets a2012Classical Definition of Probability
  12. 12An urn contains 8 red and 5 white balls. Three balls are drawn at random. Then, the probability that balls of both colours are drawn is2012Classical Definition of Probability
  13. 13Two coins are available, one fair and the other two-headed. Choose a coin and toss it once; assume that the unbiased coin is chosen with pro2012Baye's Theorem
  14. 14Let be the set of real numbers and the functions and be defined by and Then, the value of for which is2012Composite Function
  15. 15If and are in arithmetic progression, then the roots of the equation are2012Relation between Roots and Coefficients
  16. 16The equation represents a parabola whose latusrectum is2012Standard equation of parabola
  17. 17If the circles and intersect orthogonally. then is equal to2012Intersection of Circles
  18. 18If four distinct points (0,0) lie on a circle, then2012Equation of Circle & its intercept
  19. 19The line joining and where is produced to the point so that . Then, is equal to2012Coordinate System
  20. 20Let the foci of the ellipse subtend a right angle at a point . Then, the locus of is2012Locus
  21. 21The general solution of the differential equation is2012Homogeneous DE
  22. 22The value of the integral is equal to2012Definite Integration by Substitution
  23. 23The value of the integral is equal to2012Definite Integration by Substitution
  24. 24The integrating factor of the differential equation is given by2012Linear Differential Equation
  25. 25Number of solutions of the equation is2012Solving Trigonometric Equation
  26. 26The value of the integral is equal to2012Definite Integration by Substitution
  27. 27Let Then, at equals2012Functional Equation
  28. 28Maximum value of the function on the interval [1,6] is2012Maxima Minima
  29. 29For the value of is equal to2012Derivative of function and its inverse
  30. 30The value of the integral is equal to2012Properties of Definite Integration
  31. 31The maximum value of , when the complex number satisfies the condition is2012Conjugate, modulus and argument
  32. 32If where and are real, then the ordered pair is2012Algebra of complex numbers
  33. 33If is purely imaginary, then2012Conjugate, modulus and argument
  34. 34There are 100 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics, 40 failed in Biology and 32 fa2012Questions on Venn Diagram
  35. 35A vehicle registration number consists of 2 letters of English alphabet followed by 4 digits, where the first digit is not zero. Then, the t2012Permutation
  36. 36The number of words that can be written using all the letters of the word "IRRATIONAL' is2012Permutation
  37. 37Four speakers will address a meeting where speaker will always speak before Then, the number of ways in which the order of speakers can be p2012Permutation
  38. 38The number of diagonals in a regular polygon of 100 sides is2012Combination
  39. 39Let the coefficients of powers of in the , 3rd and 4 th terms in the expansion of where is a positive integer, be in arithmetic progression.2012Arithmetic Progression
  40. 40Let Then, is2012Linear Programming
  41. 41The sum ! equals2012Summation of Series
  42. 42Six numbers are in AP such that their sum is 3 . The first term is 4 times the third term. Then, the fifth term is2012Arithmetic Progression
  43. 43The sum of the infinite series is equal to2012Geometric Progression
  44. 44The equations and have a common real root2012Common Roots
  45. 45If 64,27,36 are the Pth th and th terms of a GP, then is equal to2012Geometric Progression
  46. 46If then the value of is equal to2012Principal Value and Basics
  47. 47Let and be the sides opposite to the angles and respectively in a If then the triangle is2012Sine Rule and its application
  48. 48Let and be the side4s opposite to the angles and respectively in a . Then, equals2012Sine Rule and its application
  49. 49Let be the vertices of the If the centroid of lies on the line then the locus of is2012Locus
  50. 50Preview not available - open to view this question.2012Algebraic and Rational Limits
  51. 51If is a real-valued differentiable function such that for all real then2012Monotonicity
  52. 52Rolle's theorem is applicable in the interval [-2,2] for the function2012Mean Value Theorem
  53. 53The solution of , is2012Homogeneous DE
  54. 54Let be the mid-point of a chord joining the vertex of the parabola to another point on it. Then, the locus of is2012Chord of parabola
  55. 55The line intersects the ellipse at the points and The equation of the circle with as diameter is2012Line and ellipse
  56. 56The eccentric angle in the first quadrant of a point on the ellipse at a distance 3 units from the centre of the ellipse is2012Equation of Ellipse
  57. 57The transverse axis of a hyperbola is along the -axis and its length is . The vertex of the hyperbola bisects the line segment joining the c2012Equation of hyperbola
  58. 58A point moves in such a way that the difference of its distance from two points (8,0) and (-8,0) always remains Then, the locus of the point2012Equation of hyperbola
  59. 59The number of integer values of , for which the -coordinate of the point of intersection of the lines and is also an integer, is2012Basic Forms of Straight Line
  60. 60If a straight line passes through the point and the portion of the line intercepted between the axes is divided equally at that point, then 2012Basic Forms of Straight Line
  61. 61The coefficient of in the expansion of2012Properties of Binomial Coefficients
  62. 62The system of linear equations has2012System of Linear Equations
  63. 63Let and be two events with and Then is equal to2012Classical Definition of Probability
  64. 64Let and be the altitudes of a triangle with area and perimeter Then, the value of is2012Napiers Analogy, Area of Triangle & Half angle Formulae
  65. 65Let and denote the centres of the circles and respectively and let and be their points of intersection.Then, the areas of and are in the rat2012Family of Circle
  66. 66A straight line through the point of intersection of the lines and meets the coordinate axes at and . The locus of the mid-point of is2012Locus
  67. 67Let and be the points on the parabola so that the line segment subtends right angle at the vertex. If intersects the axis of the parabola at2012Chord with given Middle Point
  68. 68The incentre of an equilateral triangle is (1,1) and the equation of ene side is Then, the equation of the circumeircle of the triangle is2012Circle Connected to Triangle
  69. 69The value of is2012Algebraic and Rational Limits
  70. 70The area of the region bounded by the curves is2012Area bounded by two curves
  71. 71Let be the solution of the differential equation satisfying Then, satisfies2012Applications of DE
  72. 72The area of the region, bounded by the curves and in the first quadrant, is2012Area bounded by two curves
  73. 73The value of the integral is equal to2012Properties Involving Inequalities
  74. 74If and are twice differentiable. functions on (0,3) satisfying then is2012Fundamental of Indefinite Integration
  75. 75Let denote the greatest integer less than or equal to , then the value of the integral is equal to2012Fundamental of Indefinite Integration
  76. 76The points representing the complex number z for which arg lie on2012Geometry of Complex Number
  77. 77Let \(a, b, c, p, q\) and \(r\) be positive real numbers such that \(a, b\) and \(c\) are in GP and \(a^{p}=b^{q}=c^{r}\). Then,2012Geometric Progression
  78. 78Let be the sum of an infinite GP series whose first term is and common ratio is Then, the value of is equal to2012Geometric Progression
  79. 79The quadratic equation has roots of opposite sign. Then,2012Location of Roots
  80. 80If , then2012Inequalities

Physics

  1. 1In a mercury thermometer, the ice point (lower fixed point) is marked as and the steam point (upper fixed point) is marked as . At temperatu2012Thermometry
  2. 2The magnetic flux linked with a coil satisfies the relation Wb, where is the time in second. The emf induced in the coil at is2012Magnetic Flux, Faraday's and Lenz law
  3. 3Water is flowing through a very narrow tube. The velocity of water below which the flow remains a streamline flow is known as2012Hydrodynamics
  4. 4If the velocity of light in vacuum is , the time taken (in nanosecond) to travel through a glass plate of thickness and refractive index 1.52012Refraction of light from plane surface
  5. 5A charge is placed at the origin of axes as shown in the figure. The work done in taking a charge from to along the straight line is2012Electric Potential and Potential Energy
  6. 6What current will flow through the resistor in the circuit shown in the figure?2012Kirchoffs Laws
  7. 7In a region, the intensity of an electric field is given by in . The electric flux through a surface in the region is2012Electric Flux and Gauss Law
  8. 8A train approaching a railway platform with a speed of starts blowing the whistle. Speed of sound in air is . If the frequency of the emitte2012Doppler's Effect
  9. 9A straight wire of length carries a current of . If this wire is placed in a uniform magnetic field of 0.15 T making an angle of with the ma2012Force and Torque on Current Carrying Conductor
  10. 10What is the phase difference between two simple harmonic motions represented by and2012Simple Harmonic Motion
  11. 11Heat is produced at a rate given by in a resistor when it is connected across a supply of voltage . If now the resistance of the resistor is2012Electric Power and Heating Effect of Current
  12. 12Two elements and with atomic numbers and are used to produce characteristic X-rays with frequencies and respectively. If then will be2012Bohr's Atomic Model
  13. 13The de-Broglie wavelength of an electron moving with a velocity ( velocity of light in vacuum) is equal to the wavelength of a photon. The r2012Matter Waves
  14. 14Two infinite parallel metal planes, contain electric charges with charge densities and respectively and they are separated by a small distan2012Electric Field and Electric Field Lines
  15. 15A box of mass is placed on the roof of a car. The box would remain stationary until the car attains a maximum acceleration. Coefficient of s2012Frictional force
  16. 16The dimension of angular momentum is2012Dimensions
  17. 17If have scalar magnitudes of 5,4,3 units respectively, then the angle between and is2012Addition and Subtraction of Vectors
  18. 18A particle is travelling along a straight line . The distance (in metre) of the particle from 0 at a time t is given by , where t is time in2012Non-uniform Motion
  19. 19A particle is projected from the ground with a kinetic energy at an angle of with the horizontal. Its kinetic energy at the highest point of2012Projectile motion
  20. 20A bullet on penetrating into its target loses its velocity by . What additional distance will it penetrate into the target before it comes t2012Uniform Motion
  21. 21When a spring is stretched by , the potential energy stored is . When the spring is stretched by more, the potential energy stored in the sp2012Energy
  22. 22Average distance of the Earth from the Sun is : If one year of the Earth days, one year of another planet whose average distance from the Su2012Kepler laws
  23. 23A spherical ball of mass 4 kg, moving along a straight line strikes another spherical ball of mass at rest. After the collision, and move wi2012Collisions
  24. 24The decimal number equivalent to a binary number 1011001 is2012Errors of Measurement
  25. 25The frequency of the first overtone of a closed pipe of length is equal to that of the first. overtone of an open pipe of length . The ratio2012Organ Pipe (Vibration of Air Column)
  26. 26The - characteristics of a metal wire at two different temperatures and ) are given in the adjoining figure. Here, we can conclude that2012Electric Power and Heating Effect of Current
  27. 27In a slide caliper, number of vernier divisions is equal to number of smallest main scale divisions. If unit is the magnitude of the smalles2012Experimental Physics
  28. 28From the top of a tower, high from the ground, a stone is thrown in the horizontal direction with a velocity of . The stone reaches the grou2012Projectile motion
  29. 29A Wheatstone bridge has the resistances . and in its four arms. What resistance joined in parallel to the resistance will bring it to the ba2012Wheatstone Bridge
  30. 30An electric bulb marked as 50W-200V is connected across a supply. The present power of the bulb is2012Electric Power and Heating Effect of Current
  31. 31A magnetic needle is placed in a uniform magnetic field and is aligned with the field. The needle is now rotated by an angle of and the work2012Force and Torque on Current Carrying Conductor
  32. 32In the adjoining figure, the potential difference between and is 60 V. The potential difference between the points and will be2012Grouping of capacitors
  33. 33A body when fully immersed in a liquid of specific gravity 1.2 weighs 44 gwt. The same body when fully immersed in water weighs 50 gwt. The 2012Archmidies Principle
  34. 34When a certain metal surface is illuminated with light of frequency , the stopping potential for photoelectric current is . When the same su2012Photoelectric Effect
  35. 35Three blocks of masses 4 kg. 2 kg. 1 kg respectively are in contact on a frictionless table as shown in the figure. If a force of is applied2012Newton's laws of motion
  36. 36Let be the length and d be the diameter of cross-section of a wire. Wires of the same material with different and are subjected to the same 2012Young's Modulus and Breaking Stres
  37. 37An object placed in front of a concave mirror at a distance of cm from the pole gives a 3 times magnified real image. If it is moved to a di2012Mirror Formula, Reflection in Spherical Mirror
  38. 3822320 cal of heat is supplied to 100 g of ice at . If the latent heat of fusion of ice is 80 cal and latent heat of vaporization of water is2012Calorimetry
  39. 39A progressive wave moving along -axis is represented by The wavelength at which the maximum particle velocity is 3 times the wave velocity i2012Travelling Waves
  40. 40Two radionctive substances and have decay constants and respectively. At they have the same number of nuclei. The ratio of number of nuclei 2012Radioactivity

Frequently Asked Questions

1.How many questions are in the WBJEE 2012 paper?

This paper has 160 questions in total - 40 from Chemistry, 80 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 2012 paper?

The WBJEE 2012 paper on MARKS has 160 questions, organised by subject:

  • Chemistry: 40 questions - 40 single-correct.
  • Mathematics: 80 questions - 80 single-correct.
  • Physics: 40 questions - 40 single-correct.
4.What is the difficulty level of the WBJEE 2012 paper?

Each question on MARKS carries a difficulty rating. Of the 160 rated questions in this paper, 73 (46%) are easy, 69 (43%) are medium and 18 (11%) are hard. Subject wise:

  • Chemistry: 20 easy, 16 medium, 4 hard
  • Mathematics: 35 easy, 34 medium, 11 hard
  • Physics: 18 easy, 19 medium, 3 hard
5.Which chapters had the most questions in the WBJEE 2012 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (8), Chemical Bonding and Molecular Structure (4), and Alcohols Phenols and Ethers (3).
  • Mathematics: Sequences and Series (7), Definite Integration (5), and Straight Lines (5).
  • Physics: Current Electricity (5), Electrostatics (3), and Waves and Sound (3).
6.Where can I find the solutions for the WBJEE 2012 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 2012 paper to check my preparation?

Set a timer, attempt the 160 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 2012 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.