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JEE Main 2005

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2005 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 225 questions in total - 81 easy (36%), 112 moderate (50%) and 32 tough (14%). That's a fairly typical mix for this exam. By subject: Physics 44% easy, 41% moderate, 15% tough; Chemistry 39% easy, 57% moderate, 4% tough; Mathematics 25% easy, 51% moderate, 24% tough.

Chemistry questions were spread across 30 chapters, with General Organic Chemistry (6), Coordination Compounds (5), and Haloalkanes and Haloarenes (5) carrying the most weight. Mathematics questions were spread across 29 chapters, with Application of Derivatives (8), Three Dimensional Geometry (7), and Vector Algebra (5) carrying the most weight. Physics questions were spread across 29 chapters, with Current Electricity (8), Laws of Motion (5), and Motion In One Dimension (5) carrying the most weight.

Chemistry

  1. 1Which of the following oxides is amphoteric in character?2005Covalent and Co-ordinate Bonding
  2. 2Which one of the following species is diamagnetic in nature?2005Molecular Orbital Theory
  3. 3If is the degree of dissociation of , the vant Hoff's factor (i) used for calculating the molecular mass is2005Colligative Properties and Abnormal Molecular Masses
  4. 4The oxidation state of in is2005Werner's theory and Valence Bond Theory
  5. 5Hydrogen bomb is based on the principle of2005Preparation and Properties of Hydrogen
  6. 6An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centres of the faces of the cube. The empi2005Cubic system
  7. 7For a spontaneous reaction the , equilibrium constant and will be respectively2005Cells and Electrode Potential, Nernst Equation
  8. 8Which of the following is a polyamide?2005Preparation and Properties of Polymers
  9. 9Which one of the following types of drugs reduces fever?2005Drugs and It's Classification
  10. 10Due to the presence of an unpaired electron, free radicals are:2005Reaction Intermediates
  11. 11Lattice energy of an ionic compounds depends upon2005Ionic bond
  12. 12The highest electrical conductivity of the following aqueous solutions is of2005Conductance and Conductivity
  13. 13Aluminium oxide may be electrolysed at to furnish aluminium metal (Atomic mass amu; 1 Faraday Coulombs). The cathode reaction is To prepare 2005Types of half cells
  14. 14Consider an endothermic reaction, with the activation energies and for the backward and forward reactions, respectively. In general2005Laws of Thermochemistry and Enthalpy Change
  15. 15Consider the reaction: carried out at constant temperature and pressure. If and are the enthalpy and internal energy changes for the reactio2005First Law and Basic Fundamentals of Thermodynamics
  16. 16Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in 2005Kinetic theory of gases
  17. 17The volume of a colloidal particle, as compared to the volume of a solute particle in a true solution , could be2005Colloids
  18. 18The solubility product of a salt having general formula , in water is: . The concentration of ions in the aqueous solution of the salt is2005Solubility
  19. 19Benzene and toluene form nearly ideal solutions. At , the vapour pressure of benzene is 75 torr and that of toluene is 22 torr. The partial 2005Mixture of gases
  20. 20The exothermic formation of is represented by the equation: Which of the following will increase the quantity of in an equilibrium mixture o2005Laws of Thermochemistry and Enthalpy Change
  21. 21Two solutions of a substance (non electrolyte) are mixed in the following manner. 480 ml of 1.5 M first solution + 520 mL of 1.2 M second so2005Concentration terms
  22. 22For the reaction When and are compared at , it is found that2005Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  23. 23Hydrogen ion concentration in mol / L in a solution of pH = 5.4 will be2005PH of solutions
  24. 24A reaction involving two different reactants can never be2005Rate of reaction
  25. 25If we consider that , in place of ; mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance wi2005Mole concept
  26. 26In a multi – electron atom, which of the following orbitals described by the three quantum numbers will have the same energy in the absence 2005Quantum mechanical model
  27. 27During the process of electrolytic refining of copper, some metals present as impurity settle as ‘anode mud’ These are2005Refining of Crude Metal
  28. 28Calculate Using appropriate molar conductances of the electrolytes listed above at infinite dilution in at2005Conductance and Conductivity
  29. 29A schematic plot of ln versus inverse of temperature for a reaction is shown below The reaction must be2005Le chatelier's principle
  30. 30The disperse phase in colloidal iron (III) hydroxide and colloidal gold is positively and negatively charged, respectively, which of the fol2005Colloids
  31. 31Based on lattice energy and other considerations which one of the following alkali metal chlorides is expected to have the highest melting p2005Compounds of Alkali Metals
  32. 32Heating mixture of and will give2005Compounds of Transition Metals
  33. 33The molecular shapes of and are2005Hybridisation and VSEPR Theory
  34. 34The number and type of bonds between two carbon atoms in calcium carbide are2005Carbon and Its Compounds
  35. 35The oxidation state of chromium in the final product formed by the reaction between KI and acidified potassium dichromate solution is2005Compounds of Transition Metals
  36. 36The number of hydrogen atom(s) attached to phosphorus atom in hypophosphorous acid is2005Sulphur and Its Compounds
  37. 37What is the conjugate base of2005Theories of Acids and Bases
  38. 38The correct order of the thermal stability of hydrogen halides (H – X) is2005Halogens and Its Compounds
  39. 39Heating an aqueous solution of aluminium chloride to dryness will give2005Aluminium and Its Compounds
  40. 40Calomel on reaction with ammonium hydroxide gives2005Oxidation and Reduction Reactions
  41. 41In which of the following arrangements the order is NOT according to the property indicated against it?2005Periodic properties
  42. 42In silicon dioxide2005Silicon and Its Compounds
  43. 43Of the following sets which one does NOT contain isoelectronic species?2005Atomic Mass and Atomic Size
  44. 44The lanthanide contraction is responsible for the fact that2005F-Block elements
  45. 45The IUPAC name of the coordination compound is2005Nomenclature of coordination compounds
  46. 46Which of the following compounds shows optical isomerism?2005Isomerism of coordination compounds
  47. 47Which one of the following cyano complexes would exhibit the lowest value of paramagnetic behaviour? (At. No. )2005Werner's theory and Valence Bond Theory
  48. 482 methylbutane on reacting with bromine in the presence of sunlight gives mainly2005Preparation and Properties of Monohalides
  49. 49The photon of hard gamma radiation knocks a proton out of nucleus to form2005Periodic properties
  50. 50The best reagent to convert pent -3- en-2-ol into pent -3-en-2-one is2005Electron displacement effects
  51. 51Tertiary alkyl halides are practically inert to substitution by mechanism because of2005Preparation and Properties of Monohalides
  52. 52In both DNA and RNA, heterocyclic base and phosphate ester linkages are at-2005Nucleic Acids
  53. 53Reaction of one molecule of with one molecule of 1,3 -butadiene at gives predominantly2005Preparation and Properties of Monohalides
  54. 54Among the following acids which has the lowest value2005Preparation and Properties of Carboxylic Acids
  55. 55The decreasing order of nucleophilicity among the nucleophiles2005Attacking reagents
  56. 56Which one of the following methods is neither meant for the synthesis nor for separation of amines?2005Preparation and Properties of Amines
  57. 57Which of the following is fully fluorinated polymer?2005Preparation and Properties of Polymers
  58. 58Of the five isomeric hexanes, the isomer which can give two monochlorinated compounds is2005Isomerism of Organic Compounds
  59. 59Alkyl halides react with dialkyl copper reagents to give2005Preparation and Properties of Monohalides
  60. 60Acid catalyzed hydration of alkenes except ethene leads to the formation of2005Preparation and Properties of Alcohols
  61. 61Amongst the following the most basic compound is2005Preparation and Properties of Amines
  62. 62Which types of isomerism is shown by 2,3-dichlorobutane?2005Isomerism of Organic Compounds
  63. 63The reaction is fastest when X is2005Electron displacement effects
  64. 64Elimination of bromine from 2-bromobutane results in the formation of-2005Preparation and Properties of Monohalides
  65. 65Equimolar solutions in the same solvent have2005Vapour pressure and raoult's law
  66. 66Which of the following statements in relation to the hydrogen atom is correct?2005Quantum mechanical model
  67. 67The structure of diborane contains2005Boron and Its Compounds
  68. 68The value of the ‘spin only’ magnetic moment for one of the following configurations is 2.84 BM. The correct one is2005Terminology of coordination compounds
  69. 69Which of the following factors may be regarded as the main cause of lanthanide contraction?2005F-Block elements
  70. 70Reaction of cyclohexanone with dimethylamine in the presence of catalytic amount of an acid forms a compound if water during the reaction is2005Method of preparation for Aldehydes
  71. 71p-cresol reacts with chloroform in alkaline medium to give the compound A which adds hydrogen cyanide to form, the compound B. The latter on2005Reactions of Phenol
  72. 72An organic compound having molecular mass 60 is found to contain and while rest is oxygen. On heating it gives alongwith a solid residue. Th2005Laws of chemical combination
  73. 73If the bond dissociation energies of and (all diatomic molecules) are in the ratio of 1:1:0.5 and for the formation of is . The bond dissoci2005Laws of Thermochemistry and Enthalpy Change
  74. 74can be taken as the time taken for the concentration of a reactant to drop to of its initial value. If the rate constant for a first order r2005Integrated rate laws
  75. 75An amount of solid is placed in a flask already containing ammonia gas at a certain temperature and . Pressure. Ammonium hydrogen sulphide d2005Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application

Mathematics

  1. 1If , then the inverse of is2005Basic Algebra of Matrices
  2. 2If the cube roots of unity are then the roots of the equation , are2005Cube Root of Unity
  3. 3Let be a relation on the set . The relation is2005Questions on Symmetric Transitive and Reflexive Properties
  4. 4Area of the greatest rectangle that can be inscribed in the ellipse is2005Maxima Minima
  5. 5The differential equation representing the family of curves , where , is a parameter, is of order and degree as follows:2005Order and Degree
  6. 6equals2005Trigonometric and Inverse Trigonometric limits
  7. 7ABC is a triangle. Forces acting along and respectively are in equilibrium, where is the incentre of . Then is2005Circle and Polygon
  8. 8If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately2005Relation Between Mean, Median and Mode
  9. 9Let be the point and a point on the locus . The locus of mid point of is2005standard equation of parabola
  10. 10If is the mid point of and is any point outside , then2005Algebra of Vectors
  11. 11If the coefficients of th, th and th terms in the binomial expansion of are in A.P., then and satisfy the equation2005Terms of Binomial Expansion
  12. 12In a triangle . If and are the roots of then2005Circle and Polygon
  13. 13The system of equations has no solution, if is2005System of Linear Equations
  14. 14The value of for which the sum of the squares of the roots of the equation assume the least value is2005Relation between Roots and Coefficients
  15. 15If roots of the equation be two consectutive integers, then equals2005Relation between Roots and Coefficients
  16. 16If the letters of word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appea2005Combination
  17. 17The value of is2005Sum of Series
  18. 18If and , then which one of the following holds for all , by the principle of mathematical indunction2005Mathematical Induction
  19. 19If the coefficient of in equals the coefficient of in , then and satisfy the relation2005Terms of Binomial Expansion
  20. 20Let , be a function defined by , then is both one-one and onto when is the interval2005Types of Function (Mapping)
  21. 21If and are two non-zero complex numbers such that then is equal to2005Conjugate, modulus and argument
  22. 22If and , then lies on2005Algebra of complex numbers
  23. 23If and then is polynomial of degree2005Expansion of Determinants
  24. 24The normal to the curve at any point ' ' is such that2005Tangent Normal
  25. 25A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?2005Monotonicity
  26. 26Let and be the distinct roots of , then is equal to2005Algebraic and Rational Limits
  27. 27Suppose is differentiable and , then equals2005Differentiation of composite functions
  28. 28Let be differentiable for all . If and for , then2005Mean Value Theorem
  29. 29If is a real-valued differentiable function satisfying and , then equals2005Maxima Minima
  30. 30If is so small that and higher powers of may be neglected, then2005Rate Measure Error and Approximation
  31. 31If where are in A.P. and , then are in2005Mixed Question on AP and GP
  32. 32In a triangle , let . If is the inradius and is the circumradius of the the triangle , then equals2005Sine Rule and its application
  33. 33If , then is equal to2005Principal Value and Basics
  34. 34If in a triangle , the altitudes from the vertices on opposite sides are in H.P., then are in2005Harmonic Progression
  35. 35If and then2005Miscellaneous
  36. 36The area enclosed between the curve and the coordinate axes is2005Area of Curve along axis
  37. 37The parabolas and divide the square region bounded by the lines and the coordinate axes. If are respectively the areas of these parts number2005Area bounded by two curves
  38. 38If , then the solution of the equation is2005Homogeneous DE
  39. 39The line parallel to the -axis and passing through the intersection of the lines ax and , where is2005Line in Space
  40. 40A spherical iron ball in radius is coated with a layer of ice of uniform thickness than melts at a rate of . When the thickness of ice is , 2005Maxima Minima
  41. 41is equal to2005Integration by Substitution
  42. 42Let be a differentiable function having . Then equals2005Leibnitz Rule of Differentiation
  43. 43Let be a non-negative continuous function such that the area bounded by the curve -axis and the ordinates and is . Then is2005Area bounded by two curves
  44. 44The locus of a point moving under the condition that the line is a tangent to the hyperbola is2005Tangent to hyperbola
  45. 45If the angle between the line and the plane 0 is such that the value of is2005Line and Plane
  46. 46The angle between the lines and is2005Plane in Space
  47. 47If the plane passes through the midpoint of the line joining the centres of the spheres , then a equals2005Line and Plane
  48. 48The distance between the line and the plane is2005Line and Plane
  49. 49For any vectora a the value of is equal to2005Product of 2 vectors
  50. 50If non-zero numbers are in H.P., then the straight line always passes through a fixed point. That point is2005Harmonic Progression
  51. 51If a vertex of a triangle is and the mid-points of two sides through this vertex are and , then the centroid of the triangle is2005Locus
  52. 52If the circles and intersect in two distinct points and then the line by passes through and for2005Family of Circle
  53. 53A circle touches the -axis and also touches the circle with centre at and radius 2. The locus of the centre of the circle is2005Family of Circle
  54. 54If a circle passes through the point and cuts the circle orthogonally, then the equation of the locus of its centre is2005General Equation of 2nd degree curve
  55. 55An ellipse has as semi minor axis, and its focii and the angle FBF' is a right angle. Then the eccentricity of the ellipse is2005Equation of Ellipse
  56. 56Let and be distinct non-negative numbers. If the vectors and lie in a plane, then is2005Basics of point in 3 dimension
  57. 57If are non-coplanar vectors and is a real number then for2005Algebra of Vectors
  58. 58Let and . Then depends on2005Scalar Triple Product
  59. 59Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The prob2005Classical Definition of Probability
  60. 60A random variable has Poisson distribution with mean 2. Then equals2005Random Variable and its Probability Distribution
  61. 61Let and be two events such that and , where stands for complement of event . Then events and are2005Independent Events
  62. 62A lizard, at an initial distance of behind an insect, moves from rest with an acceleration of and pursues the insect which is crawling unifo2005Heights and Distances
  63. 63The resultant of two forces acting on a particle is at right angles to one of them and its magnitude is one third of the other force. The ra2005Algebra of Vectors
  64. 64The sum of the series ad inf. is2005Summation of Series
  65. 65The value of , is2005Properties of Definite Integration
  66. 66The plane cuts the sphere in a circle of radius2005Plane in Space
  67. 67If the pair of lines lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thr2005Locus
  68. 68Let be observations such that and . Then a possible value of among the following is2005Mean
  69. 69If both the roots of the quadratic equation are less than 5 , then lies in the interval2005Location of Roots
  70. 70If are in G.P., then the determinant is equal to2005Expansion of Determinants
  71. 71A real valued function satisfies the functional equation where is a given constant and is equal to2005Functional Equation
  72. 72If the equation , has a positive root , then the equation has a positive root, which is2005Maxima Minima

Physics

  1. 1A projectile can have the same range for two angles of projection. If and be the times of flights in the two cases, then the product of the 2005Projectile motion
  2. 2An annular ring with inner and outer radii and is rolling without slipping with a uniform angular speed. The ratio of the forces experienced2005Circular motion
  3. 3A smooth block is released at rest on a incline and then slides a distance d. The time taken to slide is times as much to slide on rough inc2005Frictional force
  4. 4The upper half of an inclined plane with inclination is perfectly smooth while the lower half is rough. A body starting from rest at the top2005Frictional force
  5. 5A bullet fired into a fixed target loses half of its velocity after penetrating . How much further it will penetrate before coming to rest a2005Energy
  6. 6Out of the following pair, which one does NOT have identical dimensions is2005Dimensions
  7. 7The relation between time and distance is where and are constants. The acceleration is2005Non-uniform Motion
  8. 8A car starting from rest accelerates at the rate through a distance , then continues at constant speed for time and then decelerates at the 2005Graphs of motion in one dimension
  9. 9A particle is moving eastwards with a velocity of in 10 seconds the velocity changes to northwards. The average acceleration in this time is2005Addition and Subtraction of Vectors
  10. 10A parachutist after bailing out falls without friction. When parachute opens, it decelerates at . He reaches the ground with a speed of . At2005Motion Under Gravity
  11. 11A block is kept on a frictionless inclined surface with angle of inclination . The incline is given an acceleration a to keep the block stat2005Equilibrium of Forces
  12. 12A spherical ball of mass is stationary at the top of a hill of height . It rolls down a smooth surface to the ground, then climbs up another2005Energy
  13. 13A body of mass while falling vertically downwards under gravity breaks into two parts; a body B of mass and a body of mass . The centre of m2005Motion of centre of mass
  14. 14The moment of inertia of a uniform semicircular disc of mass and radius about a line perpendicular to the plane of the disc through the cent2005Moment of inertia of rigid bodies
  15. 15A particle of mass is subjected to a force with . What will be its initial acceleration if it is released from a point away from the origin?2005Newton's laws of motion
  16. 16The block of mass moving on the frictionless horizontal surface collides with a spring of spring constant and compresses it by length . The 2005momentum
  17. 17A mass ' ' moves with a velocity and collides inelastically with another identical mass. After collision the mass moves with velocity in a d2005Collisions
  18. 18A long capillary tube is dipped in water. The water rises up to . If the entire arrangement is put in a freely falling elevator the length o2005Surface tension
  19. 19If is stress and is Young's modulus of material of a wire, the energy stored in the wire per unit volume is2005Work Done in Stretching a Wire
  20. 20Average density of the earth2005Acceleration Due to Gravity
  21. 21A body of mass is accelerated uniformly from rest to a speed in a time . The instantaneous power delivered to the body as a function time is2005Power
  22. 22Consider a car moving on a straight road with a speed of . The distance at which car can be stopped is2005Frictional force
  23. 23Which of the following is incorrect regarding the first law of thermodynamics?2005First Law of Thermodynamics
  24. 24A 'T' shaped object with dimensions shown in the figure, is lying on a smooth floor. A force is applied at the point parallel to , such that2005Combination of translation and rotation
  25. 25The change in the value of at a height ' ' above the surface of the earth is the same as at a depth 'd' below the surface of earth. When bot2005Acceleration Due to Gravity
  26. 26A particle of mass is kept on the surface of a uniform sphere of mass and radius . Find the work to be done against the gravitational force 2005Gravitational potential and Potential Energy
  27. 27A gaseous mixture consists of of helium and of oxygen. The ratio of the mixture is2005Degree of Freedom and Specific Heat
  28. 28The intensity of gamma radiation from a given source is I. On passing through of lead, it is reduced to . The thickness of lead which will r2005Radioactivity
  29. 29The electrical conductivity of a semiconductor increases when electromagnetic radiation of wavelength shorter than is incident on it. The ba2005Energy Bands in Solids
  30. 30A photocell is illuminated by a small bright source placed away. When the same source of light is placed away, the number of electrons emitt2005Photoelectric Effect
  31. 31Starting with a sample of pure of it decays into in 15 minutes. The corresponding half-life is2005Radioactivity
  32. 32If radius of nucleus is estimated to be Fermi then the radius nucleus be nearly2005Nuclear structure
  33. 33The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is2005Heat Engine, Refrigerator and Second Law of Thermodynamics
  34. 34The figure shows a system of two concentric spheres of radii and and kept at temperatures and respectively. The radial rate of flow of heat 2005Conduction
  35. 35A system goes from to via two processes I and II as shown in the figure. If and are the changes in internal energies in the processes I and 2005Thermodynamic Processes
  36. 36The function represents2005Simple Harmonic Motion
  37. 37A Young’s double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is2005Youngs Double Slit Experiment
  38. 38Two simple harmonic motions are represented by the equation and . The phase difference of the velocity of particle 1 w.r.t. the velocity of 2005Simple Harmonic Motion
  39. 39A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is and the fish2005Refraction of light from plane surface
  40. 40Two point white dots are apart on a black paper. They are viewed by eye of pupil diameter . Approximately, what is the maximum distance at w2005Diffraction of Light
  41. 41A thin glass (refractive index 1.5) lens has optical power of in air. Its optical power in a liquid medium with refractive index will be2005Lens Formula, Refraction of light from curved surface
  42. 42The diagram shows the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the m2005Atomic Spectrum
  43. 43If the kinetic energy of a free electron doubles. Its deBroglie wavelength changes by the factor2005Matter Waves
  44. 44In a common base amplifier, the phase difference between the input signal voltage and output voltage is2005Junction Transistors
  45. 45In a full wave rectifier circuit operating from mains frequency, the fundamental frequency in the ripple would be2005Rectifier
  46. 46A nuclear transformation is denoted by . Which of the following is the nucleus of element ?2005Nuclear reactions
  47. 47A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10 divisions per milliampere and voltage sensitivity is 2 div2005Electric Instruments
  48. 48Two voltameters one of copper and another of silver, are joined in parallel. When a total charge flows through the voltameters, equal amount2005Electric Instruments
  49. 49In the circuit, the galvanometer shows zero deflection. If the batteries and have negligible internal resistance, the value of the resistor 2005Electric Cell or Battery
  50. 50Two sources of equal emf are connected to an external resistance R. The internal resistance of the two sources are and . If the potential di2005Electric Current and Drift of Electrons
  51. 51A fully charged capacitor has a capacitance ' ' it is discharged through a small coil of resistance wire embedded in a thermally insulated b2005Force and Energy stored in capacitor
  52. 52One conducting U tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field is 2005Induced Electric Field
  53. 53A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be2005Electric Power and Heating Effect of Current
  54. 54Two thin, long parallel wires separated by a distance 'd' carry a current of 'i' in the same direction. They will2005Force and Torque on Current Carrying Conductor
  55. 55When an unpolarized light of intensity is incident on a polarizing sheet, the intensity of the light which does not get transmitted is2005Polarization of Light
  56. 56A charged ball B hangs from a silk thread which makes an angle with a large charged conducting sheet , as show in the figure. The surface ch2005Electric Field and Electric Field Lines
  57. 57Two point charges and are located at and respectively. The location of a point on the axis at which the net electric field due to these two 2005Electric Charge and Coulomb's law
  58. 58Two thin wires rings each having a radius are placed at a distance apart with their axes coinciding. The charges on the two rings are and . 2005Electric Potential and Potential Energy
  59. 59A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent 2005Grouping of capacitors
  60. 60When two tuning forks (fork 1 and fork 2) are sounded simultaneously, 4 beats per second are heard. Now, some tape is attached on the prong 2005Beats
  61. 61If a simple harmonic motion is represented by , its time period is2005Time Period and Frequency
  62. 62The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets sudden2005Applications of SHM
  63. 63An observer moves towards a stationary source of sound, with a velocity one fifth of the velocity of sound. What is the percentage increase 2005Doppler's Effect
  64. 64If is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is 2005Diffraction of Light
  65. 65Two concentric coils each of radius equal to are placed at right angles to each other. 3 Ampere and 4 ampere are the currents flowing in eac2005Magnetic Field
  66. 66A coil of inductance and resistance is connected to a source of voltage 2V. The current reaches half of its steady state value in2005LR Circuit
  67. 67The self inductance of the motor of an electric fan is . In order to impart maximum power at , it should be connected to a capacitance of2005Self and Mutual Inductance
  68. 68An energy source will supply a constant current into the load of its internal resistance is2005Electric Current and Drift of Electrons
  69. 69A circuit has a resistance of and an impedance of . The power factor of the circuit will be2005Quality and Power Factor
  70. 70The phase difference between the alternating current and emf is . Which of the following cannot be the constituent of the circuit?2005AC Circuits
  71. 71A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected a2005Motion of Charged Particle in Magnetic Field
  72. 72A charged particle of mass and charge travels on a circular path of radius that is perpendicular to a magnetic field . The time taken by the2005Motion of Charged Particle in Magnetic Field
  73. 73In a potentiometer experiment the balancing with a cell is at length . On shunting the cell with a resistance of the balancing length become2005Electric Instruments
  74. 74The resistance of hot tungsten filament is about 10 times the cold resistance. What will be the resistance of and lamp when not in use?2005Electric Power and Heating Effect of Current
  75. 75A magnetic needle is kept in a non-uniform magnetic field. It experiences2005Magnetism and Properties of Magnet
  76. 76Two points and move from rest along a straight line with constant acceleration and ' respectively. If takes sec. more than and describes ' '2005Uniform Motion
  77. 77and are two like parallel forces. A couple of moment lies in the plane of and and is contained with them. The resultant of and after combini2005Uniform Motion
  78. 78A particle is projected from a point with velocity at an angle of with the horizontal. When it is moving in a direction at right angles to i2005Projectile motion

Frequently Asked Questions

1.How many questions are in the JEE Main 2005 paper?

This paper has 225 questions in total - 75 from Chemistry, 72 from Mathematics, and 78 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 JEE Main 2005 paper structured?

The JEE Main 2005 paper on MARKS has 225 questions, organised by subject:

  • Chemistry: 75 questions - 75 single-correct.
  • Mathematics: 72 questions - 72 single-correct.
  • Physics: 78 questions - 78 single-correct.
4.How difficult is the JEE Main 2005 paper?

Each question on MARKS carries a difficulty rating. Of the 225 rated questions in this paper, 81 (36%) are easy, 112 (50%) are medium and 32 (14%) are hard. Subject wise:

  • Chemistry: 29 easy, 43 medium, 3 hard
  • Mathematics: 18 easy, 37 medium, 17 hard
  • Physics: 34 easy, 32 medium, 12 hard
5.Which chapters were asked the most in the JEE Main 2005 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (6), Coordination Compounds (5), and Haloalkanes and Haloarenes (5).
  • Mathematics: Application of Derivatives (8), Three Dimensional Geometry (7), and Vector Algebra (5).
  • Physics: Current Electricity (8), Laws of Motion (5), and Motion In One Dimension (5).
6.Are there any out-of-syllabus questions in the JEE Main 2005 paper?

Yes. 42 of the 225 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.

7.Where can I find the solutions for the JEE Main 2005 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.

8.How should I use the JEE Main 2005 paper to check my preparation?

Set a timer, attempt the 225 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.

9.Will the JEE Main 2005 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.