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WBJEE 2015

Browse the complete Chemistry, Mathematics, and Physics question set from the WBJEE 2015 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 - 68 easy (43%), 73 moderate (46%) and 19 tough (12%). 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, 45% moderate, 11% tough; Physics 28% easy, 53% moderate, 20% tough; Chemistry 55% easy, 40% moderate, 5% tough.

Chemistry questions were spread across 22 chapters, with General Organic Chemistry (4), Hydrocarbons (4), and Practical Chemistry (3) carrying the most weight. Mathematics questions were spread across 32 chapters, with Determinants (6), Probability (6), and Trigonometric Equations (6) carrying the most weight. Physics questions were spread across 22 chapters, with Current Electricity (3), Dual Nature of Matter (3), and Electrostatics (3) carrying the most weight.

Chemistry

  1. 1Match the flame colours of the alkaline earth metal salts in the Bunsen burner2015Preliminary Tests
  2. 2"Extraction of gold involves the formation of complex ions and and respectively are2015Refining of Crude Metal
  3. 3The atomic number of cerium is 58 . The correct electronic confipuration of ion is2015Electronic configuration
  4. 4The major product of the above reaction is2015Reactions of alkenes
  5. 5The product of the reaction is2015Preparation and Properties of Monohalides
  6. 6Sulphuryl chloride ) reacts with white phosphorus to give2015Phosphorus and Its Compounds
  7. 7The number of lone pairs of electrons on the central atoms of an respectively, are2015Hybridisation and VSEPR Theory
  8. 8Consider the following salts: and . Identify the correct set of insoluble salts in water.2015Preliminary Tests
  9. 9In the following compound, the number of sp-bybridised carbons are2015Hybridisation and VSEPR Theory
  10. 10For the reaction , the reaction rate is doubled, if the concentration of is doubled. The rate is increased by four times When concentrations2015Methods to determine order of reaction
  11. 11At a certain temperature, the value of the slope of the plot of osmotic pressure against concentration in ) of a certain polymer solution is2015Colligative Properties and Abnormal Molecular Masses
  12. 12The RMS velocity of CO gas molecules at is approximately . For molecules at , the RMS velocity is approximately2015Kinetic theory of gases
  13. 13A gas can be liquefied at temperature T and pressure provided2015Critical phenomena and liquefaction
  14. 14The dispersed phase and dispersion medium of fog respectively are2015Colloids
  15. 15Preview not available - open to view this question.2015Alkaline Earth Metals
  16. 16In aqueous alkaline solution, two electrons reduction of gives2015Balancing of redox reactions
  17. 17Cold ferrous sulphate solution on absorptive of NO develops brown colour due to the formation of2015Werner's theory and Valence Bond Theory
  18. 18Among Be, B, Mg and Al, the second ionisation potential is maximum for2015Periodic properties
  19. 19In a mixture, two enantioners are found to be present in 85\% and respectively. The enantiomeric. excess (ee) is2015Isomerism of Organic Compounds
  20. 201,4 -dimethylbenzene on heating with anhydrous and HCl produces2015Reactions of aromatic compounds
  21. 21The product of the above reaction is2015Chemical reactions for aldehydes and ketones
  22. 22Suppose the mass of a single Ag-atom is . Ag metal crystallises in fcc lattice with unit cell of length . The density of Ag metal in terms o2015Cubic system
  23. 23For the reaction, the value of is . The equilibrium constant value for the reaction at that temperature is is gas constant2015Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  24. 24At a particular temperature. the ratio of equivalent conductance to specific conductance of a 0.01 N NaCl solution is2015Conductance and Conductivity
  25. 25The units of surface tension and viscosity of liquids respectively are2015Critical phenomena and liquefaction
  26. 26The ratio of volumes of (N) to CH COONa 0.1 (N) required to prepare a buffer solution of is (Given, of is2015Buffer solutions
  27. 27The reaction of methyltrichloroacetate with sodium methoxide generates2015Reaction Intermediates
  28. 28Best reagent for nuclear iodination of aromatic compounds is2015Reactions of aromatic compounds
  29. 29In the Lassaigne's test for the detection of nitrogen in an onganic compound. the appearance of blue coloured compound is due to2015Qualitative analysis of organic compounds
  30. 30In the reaction the proxtuct is2015Method of preparation for Aldehydes
  31. 31Addition of sodium thiosulphate solution to a solution of silver nitrate gives as white precipitate, insoluble in water but soluble in exces2015Preliminary Tests
  32. 32At temperature of , the emf of the following electrochemical cell. will be (Given, call )2015Cells and Electrode Potential, Nernst Equation
  33. 33For the reaction. at , the values of and S are and 20 cal respectively. The value of for the reaction is2015Third law of thermodynamics
  34. 34The total number of aromatic species generated in the following reactions is2015Conjugation and Aromaticity
  35. 35Roasted copper pyrite on smelting with sand produces2015Extraction of Metals
  36. 36Ionisation potential values of noble gases decrease down the group with increase in atomic size. Xenon forms binary fluorides by the direct 2015Noble Gases
  37. 37Which of the following compounds does not exhibit optical isomerism? en = ethylenediamine).2015Isomerism of coordination compounds
  38. 38The increase in rate constant of a chemical reaction with increasing temperature is (are) due to the fact(s) that2015Arrhenius theory
  39. 39Within the list shown below, the correct pair of structures of alanine in ranges and is I. II. III.2015PH of solutions
  40. 40ldentify the correct method for the synthesis of lhe compound shown below from the following alternatives.2015Reactions of aromatic compounds

Mathematics

  1. 1Let and be any four real numbers. Then. holds for any natural number . if2015Mathematical Induction
  2. 2If and are the roots of and is a root of then is2015Relation between Roots and Coefficients
  3. 3The number of irrational terms in the binomial expansion of is2015Properties of Binomial Coefficients
  4. 4The quadratic expression for any real if2015Relation between Roots and Coefficients
  5. 5In a certain town, of the families own a car, own a house and own both car and house. If a family is randomly chosen. then what is the proba2015Addition and Subtraction Theorems
  6. 6The letters of the word 'COCHIN' are permuted and all the permutations are arranged in alphabetical order as in English dictionary. The numb2015Combination
  7. 7Let be a continuous function which satisfies Then. the value of is2015Leibnitz Rule of Differentiation
  8. 8Let be defined as . Then, range of the function is2015Range
  9. 9The least value of for real numbers and is2015General equation of second degree
  10. 10Let be a continuous function such that assumes only irrational values. If then2015Defintion of Function
  11. 11The minimum value of for is2015Maxima Minima
  12. 12The value of is2015Algebraic and Rational Limits
  13. 13If then the value of is2015Solving Trigonometric Equation
  14. 14If then the value of is2015Transformation Formulas
  15. 15The number of real solutions of the equation is2015Solving Trigonometric Equation
  16. 16The value of is2015Cube Root of Unity
  17. 17Find the maximum value of when where being a complex number.2015Conjugate, modulus and argument
  18. 18Given that, is a real number satisfying then2015Inequalities
  19. 19The value of such that the system of equations , has no solution, is2015System of Linear Equations
  20. 20Then, is equal to2015Expansion of Determinants
  21. 21Let Then, the value of is2015Algebraic and Rational Limits
  22. 22The variance of first 20 natural numbers is2015Statistics
  23. 23A fair coin is tossed at a fixed number of times. If the probability of getting exactly 3 heads equals the probability of getting exactly 5 2015Bernoulli Trial and Binomial Distribution
  24. 24If the letters of the word 'PROBABILITY' are written down at random in a row, then probability that two B's are together, is2015Permutation
  25. 25Which of the following is not always true?2015Product of 2 vectors
  26. 26If the four points with position vectors and are coplanar, then is equal to2015Algebra of Vectors
  27. 27The least positive value of , so that the lines and are concurrent, is2015System of Linear Equations
  28. 28In , if then2015Cosine Rule and Projection Formula
  29. 29is equal to2015Solving Trigonometric Equation
  30. 30If where then the value of is2015Principal Value and Basics
  31. 31The area of the region bounded by the curve its tangent at (1,1) and X-axis is2015Area bounded by two curves
  32. 32Preview not available - open to view this question.2015Logarithm
  33. 33The number of real roots of equation is2015Logarithm
  34. 34The number of distinct real roots of in the interval is2015Expansion of Determinants
  35. 35Let be 15 distinct numbers chosen from Then, the value of is2015Permutation
  36. 36Let denotes the greatest integer less than or equal to . Then, the value of for which the function is continuous at is2015Continuity
  37. 37For all real values of satisfying the equation has a real root in the interval2015N degree equation
  38. 38Let be defined as Then, which of the following is true?2015Differentiability
  39. 39A particle starts moving from rest from a fixed point in a fixed direction. The distance s from the fixed point at a timet is given by where2015Parametric differentiation
  40. 40is equal to2015Definite as Limit of Sum
  41. 41If then the values of and are, respectively2015Algebraic and Rational Limits
  42. 42If the vertex of the conic always lies between the straight lines and then2015Tangent to Parabola
  43. 43Number of intersecting points of the conics and is2015General Equation of 2nd degree curve
  44. 44The value of for which the straight line may lie on the plane is2015Line and Plane
  45. 45Area of the region bounded by and is2015Area bounded by two curves
  46. 46Let denotes the number of divisors of including 1 and itself. Then, and are2015Geometric Progression
  47. 47The trigonometric equation has a real solution, if2015Solving Trigonometric Equation
  48. 48If and are the roots of the equation where and are real constants, then product of all the roots of the equation is2015Relation between Roots and Coefficients
  49. 49If is defined as Then, the range of is2015Expansion of Determinants
  50. 50If and are two matrices such that and then equals2015Basic Algebra of Matrices
  51. 51If is an imaginary cube root of unity, then the value of the determinant is2015Expansion of Determinants
  52. 52Let denotes the fractional part of a real number . Then, the value of is2015Properties of Definite Integration
  53. 53Let , and are in where is the set of all natural numbers. Then, the number of elements in the set2015Questions on number of relations and sets
  54. 54Let and be two given curves. Then, angle between the tangents to the curves at any point of their intersection2015Tangent Normal
  55. 55The value of is2015Sum and difference of angles
  56. 56If the point for lies in the region between the lines and containing the origin, then lies in2015Area bounded by two curves
  57. 57Number of points having distance fron the straight line and a distance from the line is2015Point and Line
  58. 58Let be a polynomial, which when remainders 10 and 6, respectively. If the polynomial is divided by thes the remainder is2015Divisibility Test
  59. 59The integrating factor of the differential equation is2015Linear Differential Equation
  60. 60If , then which of the following differential equation is satisfied?2015Formation of Differential Equation
  61. 61Let be differentiable at . If f(0)=0 and f'(0)=2, then the value of2015Algebraic and Rational Limits
  62. 62If and are digits such that then equals2015Permutation
  63. 63A person goes to office by car, scooter, bus and train, probability of which are . and respectively. Probability that he reaches office late2015Conditional Probability and Multiplication Theorem
  64. 64The value of is2015Integration by Substitution
  65. 65Let be such that and for all where is the set of natural numbers and is the set of real numbers. Then, the value of is2015Defintion of Function
  66. 66If 5 distinct balls are placed at random into 5 cells, then the probability that exactly one cell remains empty, is2015Classical Definition of Probability
  67. 67A survey of people in a given region showed that were smokers. The probability of death due to lung cancer given that a person smoked was 102015Conditional Probability and Multiplication Theorem
  68. 68ln a if and are the inradius and circumrodius of the ABC respectively, then is equal to2015Circle Connected to Triangle
  69. 69Let and be iwo distinct roots of where are three real constants and . Then, is also a root of the same equation, if2015Solving Trigonometric Equation
  70. 70For a matrix if and are column matrices satisfying and is matrix whose columns are and . Then, sum of he elements of is2015Inverse of a Matrix
  71. 71Let be any continuously differentiable function on and twice differentiable on such that and Then.2015Mean Value Theorem
  72. 72A relation on the set of real number is defined as Then, which of the following is/are true?2015Questions on Symmetric Transitive and Reflexive Properties
  73. 73If and are solutions of the differential equation where and are real constants, then which of the following is/are always true?2015Formation of Differential Equation
  74. 74Which of the following statements is /are correct for2015Solving Trigonometric Inequalities
  75. 75Let represents a hyperbola. Then,2015General Equation of 2nd degree curve
  76. 76For the function where . the greatest integer less than denotes the greater the following statemen equal to , which of the are true?2015Domain
  77. 77Which of the following is/are always false?2015Relation between Roots and Coefficients
  78. 78If the straight line is normal to the hyperbola , then which of the following does not hold?2015Normal to hyperbola
  79. 79Suppose a machine produces metal parts that contain some defective parts witl probability How many parts should be produced in order that th2015Bernoulli Trial and Binomial Distribution
  80. 80Let be such that for all If is continuous at an then2015Continuity

Physics

  1. 1Two particles of mass and ; approach each other due to their mutual gravitational attraction only. Then,2015Newton's Law of Gravitation
  2. 2Three bodies of the same material and having masses and are at temperatures and respectively. If the bodies are brought in thermal contact, 2015Calorimetry
  3. 3A satellite has kinetic energy , potential energy and total energy Which of the following statements is true?2015Motion of satellite
  4. 4An object is located from the first of two thin converging lenses of focal lengths and respectively. The lenses are separated by . The final2015Combination of Lens and Mirrors
  5. 5A simple pendulum of length swings in a vertical plane. The tension of the string when it makes an angle with the vertical and the bob of ma2015Uniform Circular Motion
  6. 6The length of a metal wire is when the tension is and when the tension is The unstretched length of wire is2015Young's Modulus and Breaking Stres
  7. 7The line is on charged infinite conducting plane which is perpendicular to the plane of the paper. The plane has a surface density of charge2015Electric Charge and Coulomb's law
  8. 8The current is in the circuit shown is2015Kirchoffs Laws
  9. 9hollow sphere of external radius and thickness is made of a metal of density . The sphere will float in water, if2015Archmidies Principle
  10. 10metal wire of circular cross-section has a n'sistance . The wire is now stretched without breaking, so that its length is doubled and the de2015Resistance and Resistivity
  11. 11Assume that each diode as shown in the tịgure has a forvard bias resistance of and an infinite reverse bias resistance. The current through 2015Diodes
  12. 12The rms speed of oxygen is at a particular temperature. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the2015Speed of Gas
  13. 13Two particles, and , having equal charges, after being accelerated through the same potential difference enter into a region of uniform magn2015Motion of Charged Particle in Magnetic Field
  14. 14A large number of particles are placed around the origin, each at a distance from the origin. The distance of the centro of mass of the syst2015Centre of mass of discrete particles
  15. 15A straight conductor long moves in uniform magnetic field . The velocity the conductor is and is directer perpendicular to the field. The em2015Force and Torque on Current Carrying Conductor
  16. 16A ray of light is incident at an angle on a glass slab of refractive index . The angla between reflected and refracted light is Then, the re2015Refraction of light from plane surface
  17. 17"Two particles and are moving as shown. in the figure. Their total angular momentum about the point is2015Angular momentum and Angular impulse
  18. 18A long capillary tube is dipped vertically in water and the liquid rises upto If the entire system is kept is a freely falling platform, the2015Surface tension
  19. 19train is moving with a uniform speed and an observer is approaching the train with the same speed. If the train blows a whistle of frequency2015Doppler's Effect
  20. 20A photon of wavelength 300 nm interacts with a stationary hydrogen atom in ground state. During the interaction, whole energy the photon is 2015Photoelectric Effect
  21. 21Particle moves along -axis with a uniform velocity of magnitude . Particle moves with uniform velocity along a direction making an angle of 2015Projectile motion
  22. 22When light is refracted from a surface, which of its following physical parameters does not change?2015Refraction of light from plane surface
  23. 23A solid maintained at is kept in an evacuated chamber at temperature The rate of heat absorbed by the body is proportional to2015Radiation
  24. 24Block lying on a table weighs W. The coefficient of static friction between the block and the table is . Assume that the cord between and th2015Equilibrium of Forces
  25. 25The inputs to the digital circuit are as shown below. The output is2015Logic gates
  26. 26Two particles and having different masses are projected from a tower with same speed. is projected vertically upward and vertically downward2015Motion Under Gravity
  27. 27The work function of metals is in the range of to . Find which of the following wavelength of light cannot be used for photoelectric effect?2015Photoelectric Effect
  28. 28A thin plastic sheet of refractive index 1.6 is used to cover one of the slits of a clouble slit arrangement. The central point on the scire2015Youngs Double Slit Experiment
  29. 29The length of an open organ pipe is twice the length of another closed organ pipe. The fundamental frequency of the open pipe . The frequenc2015Organ Pipe (Vibration of Air Column)
  30. 30A capacitor is connected in series with capacitor. When a potentid dillerence is applied across this combination, the total energy stored in2015Grouping of capacitors
  31. 31A cylinder of height his filled with wator and is kept on a block of height The level of water in the cylinder is kept constant. Four holes 2015Efflux of liquid
  32. 32The pressure , volume and temperature for a certain gas are related by where and are constants. The work done by the gas when the temperatur2015First Law of Thermodynamics
  33. 33In the circuit shown below, the switch is kept in position for a long time and is then thrown to position The amplitude of the resulting osc2015AC Circuits
  34. 34A charge is placed at one corner of a cube. The electric flux through any of the three faces adjacent to the charge is zero. The flux throug2015Electric Flux and Gauss Law
  35. 35Two cells and of emf and respectively, are connected as shown in figure through an external resistance The internal resistance of each cell 2015Electric Cell or Battery
  36. 36Two charges and are placed at a distance in a uniform electric fleld. The dipole moment of the combination is . where, is the angle between 2015Electric Dipole
  37. 37Find the right condition(s) for Fraunhoffer difiraction due to a single slit.2015Diffraction of Light
  38. 38The conducting loop in the form of a circle is placed in a uniform magnetic field with its plane perpendicular to the direction of the field2015Magnetic Flux, Faraday's and Lenz law
  39. 39A circular disc rolls on a horizontal Iloor without slipping and the centre of the disc moves with a uniform velocity . Which of the followi2015Rolling without Slipping
  40. 40Consider two particles of different masses, In which of the following situations the heavier of the two particles will have smaller de-Brogl2015Matter Waves

Frequently Asked Questions

1.How many questions are in the WBJEE 2015 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.How is the WBJEE 2015 paper structured?

The WBJEE 2015 paper on MARKS has 160 questions, organised by subject:

  • Chemistry: 40 questions - 35 single-correct and 5 multiple-correct.
  • Mathematics: 80 questions - 70 single-correct and 10 multiple-correct.
  • Physics: 40 questions - 35 single-correct and 5 multiple-correct.
4.How difficult is the WBJEE 2015 paper?

Each question on MARKS carries a difficulty rating. Of the 160 rated questions in this paper, 68 (43%) are easy, 73 (46%) are medium and 19 (12%) are hard. Subject wise:

  • Chemistry: 22 easy, 16 medium, 2 hard
  • Mathematics: 35 easy, 36 medium, 9 hard
  • Physics: 11 easy, 21 medium, 8 hard
5.Which chapters were asked the most in the WBJEE 2015 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (4), Hydrocarbons (4), and Practical Chemistry (3).
  • Mathematics: Determinants (6), Probability (6), and Trigonometric Equations (6).
  • Physics: Current Electricity (3), Dual Nature of Matter (3), and Electrostatics (3).
6.Where can I find the solutions for the WBJEE 2015 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 2015 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 2015 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.