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KCET 2021

Browse the complete Chemistry, Mathematics, and Physics question set from the KCET 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 180 questions in total - 97 easy (54%), 63 moderate (35%) and 20 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: Chemistry 50% easy, 43% moderate, 7% tough; Mathematics 58% easy, 33% moderate, 8% tough; Physics 53% easy, 28% moderate, 18% tough.

Chemistry questions were spread across 26 chapters, with Aldehydes and Ketones (5), Hydrocarbons (5), and Chemical Kinetics (4) carrying the most weight. Mathematics questions were spread across 24 chapters, with Probability (6), Differentiation (5), and Functions (5) carrying the most weight. Physics questions were spread across 24 chapters, with Current Electricity (5), Capacitance (4), and Dual Nature of Matter (4) carrying the most weight.

Chemistry

  1. 1For the reaction, The equilibrium constant cannot be disturbed by2021Le chatelier's principle
  2. 2An organic compound on treatment with PCC in dichloromethane gives the compound . Compound reacts with and alkali to form yellow precipitate2021Tests for aldehyde and ketones
  3. 3A compound ' is insoluble in solution but dissolve in and give a characteristic colour with neutral solution. When treated with bromine wate2021Properties of Phenol
  4. 4In set of reactions, identify2021Reactions of Benzene
  5. 5values for acids and are respectively , and , which of the above acids produces stronger conjugate base in aqueous solution?2021Theories of Acids and Bases
  6. 6and respectively are2021Method of preparation for Aldehydes
  7. 7The reagent which can do the conversion is2021Preparation and Properties of Alcohols
  8. 8and are2021Reactions for aldehydes
  9. 9Which of the following is not true for oxidation?2021Oxidation and Reduction Reactions
  10. 10Which is the most suitable reagent for the following conversion ?2021Chemical reactions for aldehydes and ketones
  11. 11. The product is2021Preparation and Properties of Aryl Halides
  12. 12The method by which aniline cannot be prepared is2021Reactions of aromatic compounds
  13. 13Permanent hardness cannot be removed by2021Preparation and Properties of Water
  14. 14A hydrocarbon on reaction with gives a compound which on reaction with of gives compound . On reacting with and followed by treatment with w2021Preparation and Properties of Monohalides
  15. 15RNA and DNA are chiral molecules, their chirality is due to the presence of2021Nucleic Acids
  16. 16The property of the alkaline earth metals that increases with their atomic number is2021Alkaline Earth Metals
  17. 17Primary structure in a nucleic acid contains bases as GATGC ... The chain which is complementary to this chain is2021Nucleic Acids
  18. 18In the detection of II group acid radical, the salt containing chloride is treated with concentrated sulphuric acid, the colourless gas is l2021Identification of Acid Radicals
  19. 19The number of six membered and five membered rings in Buckminster fullerene respectively is2021IUPAC Nomenclature
  20. 20In chrysoberyl, a compound containing beryllium, aluminium and oxygen, oxide ions form cubic close packed structure. Aluminium ions occupy t2021Cubic system
  21. 21The correct statement regarding defects in solid is2021Stoichiometric defects
  22. 22A metal crystallises in bcc lattice with unit cell edge length of and density . The molar mass of the metal is2021Cubic system
  23. 23Henry's law constant for the solubility of gas in water at is . The mole fraction of in air is . The number of moles of from air dissolved i2021Henry's law
  24. 24A pure compound contains of , atoms of moles of oxygen atoms. Its empirical formula is2021Laws of chemical combination
  25. 25Choose the correct statement.2021Henry's law
  26. 26The value ( bar) of argon (I), carbondioxide (II), formaldehyde (III) and methane (IV) are respectively 40.3, 167, and at . The increasing o2021Henry's law
  27. 27The vapour pressure of pure liquids and are 450 and of at respectively. If the total vapour pressure of the mixture is of , the composition 2021Vapour pressure and raoult's law
  28. 28Consider the following electrodes M) electrode potentials of the above electrodes in volts are in the order2021Cells and Electrode Potential, Nernst Equation
  29. 29The number of angular and radial nodes in orbital respectively are2021Quantum mechanical model
  30. 30The resistance of solution at is . If the conductivity of solution at is . The cell constant of the conductivity cell in is2021Conductance and Conductivity
  31. 31at for the cell is . The equilibrium constant at is2021Cells and Electrode Potential, Nernst Equation
  32. 32For a reaction, Products, when concentration of alone is increased half-life remains the same. If concentration of alone is doubled, rate re2021Rate law and rate constant
  33. 33The third ionisation enthalpy is highest in2021Periodic properties
  34. 34If the rate constant for a first order reaction is , the time required for the completion of of the reaction is given by2021Integrated rate laws
  35. 35The rate of a gaseous reaction is given by the expression . If the volume of vessel is reduced to one half of the initial volume, the reacti2021Rate law and rate constant
  36. 36The correct IUPAC name of2021IUPAC Nomenclature
  37. 37Higher order reactions are rare due to2021Rate of reaction
  38. 38Arrange benzene, -hexane and ethyne in decreasing order of their acidic behaviour.2021Reaction Intermediates
  39. 39A colloidal solution is subjected to an electric field than colloidal particles more towards anode. The amount of electrolytes of and requir2021Colloids
  40. 40Which of the following is an incorrect statement?2021Van Der Waals Forces, Hydrogen Bonding and Metallic Bonding
  41. 41Zeta potential is2021Properties of colloidal solution
  42. 42Which of the following compound on heating gives ?2021Preliminary Tests
  43. 43Which of the following property is true for the given sequence? ?2021Nitrogen and Its Compounds
  44. 44The correct order of boiling point in the following compounds is2021Nitrogen and Its Compounds
  45. 45on partial hydrolysis gives a compound , which has square pyramidal geometry ' ' is2021Noble Gases
  46. 46A colourless, neutral, paramagnetic oxide of nitrogen ' ' on oxidation gives reddish brown gas . on cooling gives colourless gas on reaction2021Nitrogen and Its Compounds
  47. 47Which of the following does not represent property stated against it?2021Properties of D-block elements
  48. 48Which one of the following is correct for all elements from Sc to Cu?2021Properties of D-block elements
  49. 49When the absolute temperature of ideal gas is doubled and pressure is halved, the volume of gas2021Gas laws and Ideal Gas Equation
  50. 50Which of the following pairs has both the ions coloured in aqueous solution? [Atomic numbers of ]2021Properties of D-block elements
  51. 51For the crystal field splitting in octahedral complexes,2021Crystal Field Theory
  52. 52Peroxide effect is observed with the addition of HBr but not with the addition of HI to unsymmetrical alkene because2021Reactions of alkenes
  53. 53The IUPAC name of is2021Nomenclature of coordination compounds
  54. 54Homoleptic complexes among the following are (A) (B) (C)2021Terminology of coordination compounds
  55. 55The correct order for wavelengths of light absorbed in the complex ions and is2021Crystal Field Theory
  56. 56The compound (major product) is2021Reactions of aromatic compounds
  57. 57Bond enthalpies of and are in the ratio . If bond enthalpy of formation of is . The bond enthalpy of is2021Entropy and Second law of thermodynamics
  58. 58The order of reactivity of the compounds and in reaction is2021Preparation and Properties of Aryl Halides
  59. 59The major product of the following reaction is Product2021Reactions of alkenes
  60. 60The product ' ' gives white precipitate when treated with bromine water. The product ' ' is treated with barium hydroxide to give the produc2021Chemical reactions for aldehydes and ketones

Mathematics

  1. 1The equation of the line joining the points and is2021Line in Space
  2. 2The angle between the lines whose direction cosines are and is2021Direction Cosines and Direction Ratios
  3. 3If a plane meets the coordinate axes at and in such a way that the centroid of is at the point , then the equation of the plane is2021Line and Plane
  4. 4The area of the quadrilateral when and is equal to2021Basics of point in 3 dimension
  5. 5The shaded region is the solution set of the inequalities2021Linear Programming
  6. 6Given that, and are two events such that and , then is equal to2021Classical Definition of Probability
  7. 7If and are three independent events such that , then (at least two of and occur) is equal to2021Independent Events
  8. 8Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6 the probability of getting a sum as 3 is2021Classical Definition of Probability
  9. 9A car manufacturing factory has two plants and . Plant manufactures of cars and plant manufactures of cars. of cars at plant and of cars at 2021Total Probability
  10. 10In a certain two families own cell phones, 15000 families own scooter and 15\% families own both. Taking into consideration that the familie2021Baye's Theorem
  11. 11and are non-singleton sets and . If , then is equal to2021Questions on number of relations and sets
  12. 12Domain of is2021Domain
  13. 13The value of is2021Measurement of Angles
  14. 14The value of is2021Trigonometric Series
  15. 15If , then2021Algebra of complex numbers
  16. 16The cost and revenue functions of a product are given by and respectively, where is the number of items produced and sold. The value of to e2021Inequalities
  17. 17A student has to answer 10 questions, choosing at least 4 from each of the parts and . If there are 6 questions in part and 7 in part , then2021Combination
  18. 18If the middle term of the AP is 300 , then the sum of its first 51 terms is2021Arithmetic Progression
  19. 19The equation of straight line which passes through the point and perpendicular to is2021Basic Forms of Straight Line
  20. 20The mid points of the sides of triangle are and then centroid of the triangle2021Basics of point in 3 dimension
  21. 21Consider the following statements Statement 1 : is 1 (where ). Statement is .2021Algebraic and Rational Limits
  22. 22If and are fixed non-zero constants, then the derivative of is , where2021Differentiation of composite functions
  23. 23The standard deviation of the numbers 31 , is2021Mean Square Deviation
  24. 24If and then is equal to2021Classical Definition of Probability
  25. 25defined by is equal to2021Defintion of Function
  26. 26Let is not a positive integer Define as , then is2021Types of Function (Mapping)
  27. 27The function is one-one in the interval2021Types of Function (Mapping)
  28. 28Domain of the function where is greatest integer is2021Domain
  29. 29is equal to2021Principal Value and Basics
  30. 30is equal to2021Principal Value and Basics
  31. 31If , then is equal to2021Product of Matrices
  32. 32Let be symmetric matrix with integer entries, then is invertible if2021Symmetric & Skew Symmetric Matrices
  33. 33If and are matrices of order 3 and , then is2021Product of Matrices
  34. 34If and are invertible matrices then which of the following is not correct ?2021Inverse of a Matrix
  35. 35If , then is equal to2021Existance of Limit
  36. 36If and , then the maximum value of is2021Basic Algebra of Matrices
  37. 37At , the function is2021Differentiability
  38. 38If , then is equal to2021Differentiation of composite functions
  39. 39For constant is2021Logarithmic differentiation
  40. 40Consider the following statements Statement 1 : If , then Statement 2 : If and2021Logarithmic differentiation
  41. 41If the parametric equation of curve is given by and , then the points for which are given by2021Maxima Minima
  42. 42If , then at is equal to2021Higher order derivatives
  43. 43A particle starts form rest and its angular displacement (in radians) is given by . If the angular velocity at the end of is , then the valu2021Rate Measure Error and Approximation
  44. 44If the parabola passes through the point and has its tangent at parallel to -axis, then2021Tangent to Parabola
  45. 45The function is strictly decreasing in the interval2021Monotonicity
  46. 46The maximum slope of the curve is2021Maxima Minima
  47. 47is equal to2021Integration by Substitution
  48. 48The value of is equal to2021Integration by Substitution
  49. 49The value of is equal to2021Fundamental of Indefinite Integration
  50. 50The value of is equal to2021Integration by Substitution
  51. 51If , where is positive integer, then is equal to2021Definite Integration by Reduction Formula
  52. 52The value of is equal to2021Properties of Definite Integration
  53. 53The area of the region bounded by and -axis is2021Area of Curve along axis
  54. 54If the area of the ellipse is is sq units, then is2021Area bounded by two curves
  55. 55Solution of differential equating represents2021Homogeneous DE
  56. 56The number of solutions of , when is2021Linear Differential Equation
  57. 57A vector a makes equal acute angles on the coordinate axis. Then the projection of vector on is2021Algebra of Vectors
  58. 58The diagonals of a parallelogram are the vectors . and . Then the length of the shorter side of parallelogram is2021Product of 2 vectors
  59. 59If and makes an angle with a, then2021Product of 2 vectors
  60. 60If the area of the parallelogram with and as two adjacent sides is 15 sq units, then the area of the parallelogram having and as two adjacen2021Product of 2 vectors

Physics

  1. 1The physical quantity which is measure in the unit of wb is2021Self and Mutual Inductance
  2. 2What will be the reading in the voltmeter and ammeter of the circuit shown?2021Electric Current and Drift of Electrons
  3. 3-oscillations are similar and analogous to the mechanical oscillations of a block attached to a spring. The electrical equivalent of the for2021Simple Harmonic Motion
  4. 4In an oscillating -circuit, and . At , the charge on the capacitor is zero and the current is . The maximum charge that will appear on the c2021AC Circuits
  5. 5Suppose that the electric field amplitude of electromagnetic wave is and its frequency . Then, which of the following value is incorrectly c2021Electromagnetic Waves and Maxwell's equations
  6. 6The source of electromagnetic wave can be a charge2021Electromagnetic Waves and Maxwell's equations
  7. 7In refraction, light waves are bent on passing from one medium to second medium because, in the second medium2021Refraction of light from plane surface
  8. 8If the refractive index from air to glass is and that from air to water is , then the ratio of focal lengths of a glass lens in water and in2021Lens Formula, Refraction of light from curved surface
  9. 9Two thin biconvex lenses have focal lengths and . A third thin biconcave lens has focal length of . If the two biconvex lenses are in contac2021Combination of Lens and Mirrors
  10. 10The size of the image of an object, which is at infinity, as formed by a convex lens of focal length is . If a concave lens of focal length 2021Mirror Formula, Reflection in Spherical Mirror
  11. 11A slit of width is illuminated by red light of wavelength . If the first diffraction minimum falls at , then the value of is2021Diffraction of Light
  12. 12Which of the following statements are correct with reference to single slit diffraction pattern?2021Diffraction of Light
  13. 13In the Young's double slit experiment a monochromatic source of wavelength is used. The intensity of light passing through each slit is . Th2021Youngs Double Slit Experiment
  14. 14The work-function of a metal is . Light of wavelength is incident on this metal surface. The velocity of emitted photoelectrons will be2021Photoelectric Effect
  15. 15A proton moving with a momentum has a kinetic energy th of its rest mass-energy. Another light photon having energy equal to the kinetic ene2021Matter Waves
  16. 16According to Einstein's photoelectric equation to the graph between kinetic energy of photoelectrons ejected and the frequency of incident r2021Photoelectric Effect
  17. 17Energy of an electron in the second orbit of hydrogen atom is . The energy of electron in the third orbit of will be2021Bohr's Atomic Model
  18. 18The figure shows standing de-Broglie waves due to the revolution of electron in a certain orbit of hydrogen atom. Then, the expression for t2021Matter Waves
  19. 19An electron in an excited state of ion has angular momentum . The de-Broglie wavelength of electron in this state is (where, Bohr radius ). 2021Bohr's Atomic Model
  20. 20Which graph in the following diagram correctly represents the potential energy of a pair of nucleons as a function of their separation?2021Nuclear energy
  21. 21In a nuclear reactor heavy nuclei is not used as moderators because2021Nuclear reactions
  22. 22The circuit given represents which of the logic operations?2021Logic gates
  23. 23Identify the incorrect statement.2021Diodes
  24. 24Three photodiodes and are made of semiconductors having band gaps of and , respectively. Which one will be able to detect light of wavelengt2021Special purpose diodes
  25. 25For a body moving along a straight line, the following - graph is obtained. According to the graph, the displacement during2021Graphs of motion in one dimension
  26. 26A particle starts from rest. Its acceleration versus time is shown in the figure. The maximum speed of the particle will be2021Graphs of motion in one dimension
  27. 27The maximum range of a gun on horizontal plane is . If , then muzzle velocity of a shell is2021Projectile motion
  28. 28The trajectory of projectile is2021Projectile motion
  29. 29For a projectile motion, the angle between the velocity and acceleration is minimum and acute at2021Projectile motion
  30. 30A particle starts from the origin at with a velocity of and move in the plane with a constant acceleration of . At an instant when the -coor2021Relative motion
  31. 31A coin placed on a rotating turn table just slips if it is placed at a distance of from the centre. If the angular velocity of the turn tabl2021Rotational kinematics
  32. 32A ball moving at collides with a ball moving in opposite direction at . If the coefficient of restitution is , then their velocities after t2021Collisions
  33. 33A ball hits the floor and rebounds after an inelastic collision. In this case2021Collisions
  34. 34In figure and represent the total energy and speed of centre of mass of an object of mass in pure rolling. The object is2021Motion of centre of mass
  35. 35Two bodies of masses are placed at the vertices and of an equilateral triangle . A third body of mass is placed at the centroid of the trian2021Gravitational field
  36. 36Two capillary tubes and are dipped vertically in water. The height of water level in capillary tube is of the height in capillary tube . The2021Surface tension
  37. 37Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?2021Thermal Expansion
  38. 38A number of Carnot engines are operated at identical cold reservoir temperatures . However, their hot reservoir temperatures are kept differ2021Heat Engine, Refrigerator and Second Law of Thermodynamics
  39. 39A gas mixture contains monoatomic and diatomic molecules of 2 moles each. The mixture has a total internal energy of (symbols have usual mea2021First Law of Thermodynamics
  40. 40A pendulum oscillates simple harmonically and only if I. the sizer of the bob of pendulum is negligible in comparison with the length of the2021Angular oscillations
  41. 41To propagate both longitudinal and transverse waves, a material must have2021Bulk Modulus
  42. 42A copper rod of length is rotated about end with a constant angular velocity . The electric field at a distance from the axis of rotation is2021Electric Field and Electric Field Lines
  43. 43Electric field due to infinite, straight uniformly charged wire varies with distance as2021Electric Charge and Coulomb's law
  44. 44A object, located in a region of uniform electric field carries a charge . The object released from rest at , has a kinetic energy of at . T2021Electric Field and Electric Field Lines
  45. 45If a slab of insulating material (conceptual). thick is introduced between the plates of a parallel plate capacitor, the separation between 2021Capacitors with Dielectric
  46. 46Eight drops of mercury of equal radii combine to form a big drop. The capacitance of a bigger drop as compared to each smaller drop is2021Capacitance
  47. 47Which of the following statements is false in the case of polar molecules?2021Electric Dipole
  48. 48An electrician requires a capacitance of in a circuit across a potential difference of . A large number of capacitors which can withstand a 2021Grouping of capacitors
  49. 49In figure, charge on the capacitor is plotted against potential difference across the capacitor. The capacitance and energy stored in the ca2021Force and Energy stored in capacitor
  50. 50A wire of resistance is stretched to twice its original length. The resistance of the new wire will be2021Resistance and Resistivity
  51. 51In the given arrangement of experiment on meter bridge, if corresponding to null deflection of the galvanometer is , what would be its value2021Electric Instruments
  52. 52A copper wire of length and uniform cross-sectional area carries a current of . Assuming that, there are free electrons per in copper, how l2021Electric Current and Drift of Electrons
  53. 53Consider an electrical conductor connected across a potential difference . Let be a small charge moving through it in time . If is the elect2021Electric Current and Drift of Electrons
  54. 54A strong magnetic field is applied on a stationary electron. Then, the electron2021Motion of Charged Particle in Magnetic Field
  55. 55Two parallel wires in free space are apart and each carries a current of in the same direction. The force exerted by one wire on the other [2021Force and Torque on Current Carrying Conductor
  56. 56A toroid with thick windings of turns has inner and outer radii and , respectively. If it carries certain steady current , the variation of 2021Magnetic Field
  57. 57A tightly wound long solenoid has turns per unit length, a radius and carries a current . A particle having charge and mass is projected fro2021Magnetic Field
  58. 58Earth's magnetic field always has a horizontal component except at2021Earths magnetic field
  59. 59Which of the field pattern given below is valid for electric field as well as for magnetic field?2021Magnetism and Properties of Magnet
  60. 60The current following through an inductance coil of self-inductance at different time instants is as shown. The emf induced between and is n2021AC Circuits

Frequently Asked Questions

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

This paper has 180 questions in total - 60 each from Chemistry, Mathematics, and Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this paper.

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

The KCET 2021 paper on MARKS has 180 questions, organised by subject:

  • Chemistry: 60 questions - 60 single-correct.
  • Mathematics: 60 questions - 60 single-correct.
  • Physics: 60 questions - 60 single-correct.
4.What is the difficulty level of the KCET 2021 paper?

Each question on MARKS carries a difficulty rating. Of the 180 rated questions in this paper, 97 (54%) are easy, 63 (35%) are medium and 20 (11%) are hard. Subject wise:

  • Chemistry: 30 easy, 26 medium, 4 hard
  • Mathematics: 35 easy, 20 medium, 5 hard
  • Physics: 32 easy, 17 medium, 11 hard
5.Which chapters had the most questions in the KCET 2021 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Aldehydes and Ketones (5), Hydrocarbons (5), and Chemical Kinetics (4).
  • Mathematics: Probability (6), Differentiation (5), and Functions (5).
  • Physics: Current Electricity (5), Capacitance (4), and Dual Nature of Matter (4).
6.Where can I find the solutions for the KCET 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 KCET 2021 paper to check my preparation?

Set a timer, attempt the 180 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 KCET. Repeating this with other papers shows whether the same weak spots keep coming back.

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

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