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KCET 2013

Browse the complete Chemistry, Mathematics, and Physics question set from the KCET 2013 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 - 92 easy (51%), 61 moderate (34%) and 27 tough (15%). 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 60% easy, 27% moderate, 13% tough; Mathematics 45% easy, 33% moderate, 22% tough; Physics 48% easy, 42% moderate, 10% tough.

Chemistry questions were spread across 28 chapters, with General Organic Chemistry (6), Hydrocarbons (4), and Ionic Equilibrium (4) carrying the most weight. Mathematics questions were spread across 28 chapters, with Application of Derivatives (5), Circle (4), and Differential Equations (4) carrying the most weight. Physics questions were spread across 22 chapters, with Nuclear Physics (7), Current Electricity (5), and Ray Optics (5) carrying the most weight.

Chemistry

  1. 1IUPAC name of is2013IUPAC Nomenclature
  2. 2Alkali metals have negative reduction potential and hence they behave as2013Cells and Electrode Potential, Nernst Equation
  3. 3Which of the following gases has the highest value of RMS velocity at ?2013Kinetic theory of gases
  4. 4Cycloalkane formed when 1,4 -dibromopentane is heated with sodium is2013Preparation and Properties of Monohalides
  5. 5In the reaction, the oxidising agent is2013Oxidation and Reduction Reactions
  6. 6Given thermochemical equation, . Heat of decomposition of water is2013Laws of Thermochemistry and Enthalpy Change
  7. 7In Buna-S, the symbol Bu stands for2013Preparation and Properties of Polymers
  8. 8The electronic configuration of ion is2013Properties of D-block elements
  9. 9The yield of the products in the reaction, kJ would be higher at2013Le chatelier's principle
  10. 10Mesomeric effect involves2013Electron displacement effects
  11. 11Which one of the following sets of ions represents the collection of isoelectronic species?2013Atomic Mass and Atomic Size
  12. 12Adsorption theory is applicable for2013Catalysis and Theories of Catalysis
  13. 13Methane can be converted into ethane by the reactions2013Reactions of alkanes
  14. 14Intramolecular hydrogen bonding is formed in2013Van Der Waals Forces, Hydrogen Bonding and Metallic Bonding
  15. 15If of the reactant is converted into a product in a first order reaction in , how much of it would react in ?2013Integrated rate laws
  16. 16The number of optical isomers of the compound is2013Isomerism of Organic Compounds
  17. 17When limestone is heated, is given off. The metallurgical operation is2013Concentration of the Ore
  18. 18The rate of reaction increases with rise in temperature because of2013Rate of reaction
  19. 19Meso compounds do not show optical activity because2013Isomerism of Organic Compounds
  20. 20When formic acid is heated with conc. , the gas evolved is2013Abnormal Behaviour of Formic Acid
  21. 21Temperature coefficient of a reaction is 2 . When temperature is increased from to , the rate of reaction is increased by2013Rate of reaction
  22. 22Conversion of benzene to acetophenone can be brought by2013Reactions of aromatic compounds
  23. 23Excess of reacts with concentrated giving2013Phosphorus and Its Compounds
  24. 24An example for a neutral buffer is2013Buffer solutions
  25. 25Least energetic conformation of cyclohexane is2013Isomerism of Organic Compounds
  26. 26Which of the following is employed in flash tubes in photograph?2013Noble Gases
  27. 27Conjugate base of is2013Theories of Acids and Bases
  28. 28An alkyl bromide reacts with sodium in ether to form 4,5 -diethyl octane, the compound is2013Reactions of alkanes
  29. 29Which one of the following shows highest magnetic moment?2013Properties of D-block elements
  30. 30The emf of a galvanic cell constituted with the electrodes and is2013Cells and Electrode Potential, Nernst Equation
  31. 31Which of the following pairs are correctly matched?2013Preparation and Properties of Monohalides
  32. 32In a transition series, with increase in atomic-number, the paramagnetism2013Properties of D-block elements
  33. 33Identify a species which is not a Bronsted acid but a Lewis acid2013Theories of Acids and Bases
  34. 34The compound formed when calcium acetate and calcium formate is distilled2013Properties and Preparation of Alkanes
  35. 35hybridisation of the atomic orbitals gives2013Hybridisation and VSEPR Theory
  36. 36The of solution is2013PH of solutions
  37. 37Which of the following is strongly acidic?2013Reactions of Alcohols
  38. 38A group of atoms can function as a ligand only when2013Terminology of coordination compounds
  39. 39Which of the following is not a colligative property?2013Colligative Properties and Abnormal Molecular Masses
  40. 40Acetone and propanal are2013Isomerism of Organic Compounds
  41. 41Which of the following is diamagnetic?2013Electrical and Magnetic properties
  42. 42of urea is dissolved in of . The relative lowering in vapour pressure is2013Colligative Properties and Abnormal Molecular Masses
  43. 43The reagent used to distinguish between acetaldehyde and benzaldehyde is2013Tests for aldehyde and ketones
  44. 44Metallic lustre is due to2013Properties and Types of Solids
  45. 45Which of the following aqueous solutions will exhibit highest boiling point?2013Colligative Properties and Abnormal Molecular Masses
  46. 46Which one of the following gives amine on heating with amide?2013Preparation and Properties of Amines
  47. 47The number of anti-bonding electrons present in molecular ion is2013Molecular Orbital Theory
  48. 48The process is spontaneous at the given temperature, if2013Third law of thermodynamics
  49. 49Glucose when reduced with HI and red phosphorus gives2013Preparation and Reactions of Glucose
  50. 50The stability of a lyophobic colloid is due to2013Colloids
  51. 51Oils are liquids at room temperature since they contain higher percentage of2013Artificial Sweetning Agents and Food Preservatives
  52. 52Which of the following cations will have minimum flocculation value for arsenic sulphide sol?2013Properties of colloidal solution
  53. 53The value of entropy of solar system is2013Third law of thermodynamics
  54. 54In face centred cubic lattice, a unit cell is shared equally by how many unit cells?2013Cubic system
  55. 55The number of disulphide linkages present in insulin are2013Hormones
  56. 56The process of zone refining is used in the purification of2013Refining of Crude Metal
  57. 57The number of water molecules present in a drop of water weighing is2013Mole concept
  58. 58Empirical formula of a compound is and its molecular mass is 90 , the molecular formula of the compound is2013Quantitative measures in chemical equations
  59. 59Hybridised states of carbon in graphite and diamond are respectively2013Carbon and Its Compounds
  60. 60The mass of of gas at is2013Mole concept

Mathematics

  1. 1If is the acute angle between the curves and at , then is equal to2013Tangent Normal
  2. 2The maximum area of a rectangle that can be inscribed in a circle of radius 2 units is2013Maxima Minima
  3. 3If the length of the subtangent at any point to the curve is proportional to the abscissa, then is2013Tangent Normal
  4. 4where, is equal to2013Integration by Substitution
  5. 5is equal to2013Integration by Parts
  6. 6If and , then which one of the following is true?2013Definite Integration by Parts
  7. 7The value of , is2013Properties of Definite Integration
  8. 8is equal to2013Properties of Definite Integration
  9. 9The area bounded by the curve , -axis and lines and is2013Area of Curve along axis
  10. 10The general solution of the differential equation is2013Exact Forms
  11. 11If and are order and degree of the differential equation , then2013Order and Degree
  12. 12If , then is equal to2013Integration using Partial Fraction
  13. 13The sum of the series, upto terms is2013Summation of Series
  14. 14If the roots of the equation are in , then is equal to2013N degree equation
  15. 15If the value of , then is equal to2013Sum of Series
  16. 16The inverse of the proposition , is2013Mathematical Reasoning
  17. 17The range of the function , where denotes the greatest integer , is2013Range
  18. 18If the line is parallel to -axis, then is equal to2013Angle between Lines
  19. 19The angle between the lines , is2013Angle between lines
  20. 20The minimum area of the triangle formed by the variable line and the coordinate axes is2013Basic Forms of Straight Line
  21. 21Preview not available - open to view this question.2013Basic Identities & T Ratios
  22. 22If and , then is equal to2013Basic Identities & T Ratios
  23. 23In a , if and , then its area is2013Cosine Rule and Projection Formula
  24. 24is equal to2013Algebraic and Rational Limits
  25. 25If , then is2013Continuity
  26. 26In a regular graph of 15 vertices the sum of the degree of the vertices is 60 . Then, the degree of each vertex is2013Tangent Normal
  27. 27The remainder when, is divided by 6 is2013Remainder and Divisibility Problems
  28. 28A value of satisfying is2013Mathematical Reasoning
  29. 29The smallest positive divisor greater than 1 of a composite number is2013Divisibility Test
  30. 30If and are square matrices of order such that , then which of the following will be true?2013Product of Matrices
  31. 31If and , then is equal to2013Expansion of Determinants
  32. 32If and , then is equal to2013Differentiation and Integration of Determinants
  33. 33If the determinant of the adjoint of a (real) matrix of order 3 is 25 , then the determinant of the inverse of the matrix is2013Inverse of a Matrix
  34. 34If the matrix , where is symmetric and is skew-symmetric, then is equal to2013Symmetric & Skew Symmetric Matrices
  35. 35In a group , for some element of , if , where is the identity element, then2013Mathematical Reasoning
  36. 36In Ine if where is a fixed integer, then the inverse of is2013Mathematical Reasoning
  37. 37If and , then2013Vector Triple Product
  38. 38If and , then is equal to2013Product of 2 vectors
  39. 39If and are unit vectors such that , then is equal to2013Product of 2 vectors
  40. 40If is a vector perpendicular to both and , then2013Product of 2 vectors
  41. 41A tangent is drawn to the circle at point and it meets the line at , then is equal to2013Tangent to circle
  42. 42The area of the circle having its centre at and touching the line is2013Equation of Circle & its intercept
  43. 43The number of real circles cutting orthogonally the circle is2013Family of Circle
  44. 44The length of the chord of the circle intercepted by the -axis is2013Chord of Contact
  45. 45are two points. The locus of the centroid of , where is the origin, is2013Coordinate System
  46. 46The sum of the squares of the eccentricities of the conics and is2013Equation of Ellipse
  47. 47The equation of the tangent to the parabola inclined at an angle of to the positive direction of -axis, is2013Tangent to Parabola
  48. 48If the distance between the focii and the distance between the directrices of the hyperbola are in the ratio , then is2013Equation of hyperbola
  49. 49If the area of the auxillary circle of the ellipse where, is twice the area of the ellipse, then the eccentricity of the ellipse is2013Auxillary Circle
  50. 50is euqal to2013Converting one Inverse T function to other Inverse T
  51. 51The value of (where, ) is2013Sum and difference of angles
  52. 52The general solution of , for any integer is2013Solving Trigonometric Equation
  53. 53The modulus and amplitude of are2013Conjugate, modulus and argument
  54. 54If , then the value of is2013Cube Root of Unity
  55. 55If and , then is equal to2013Differentiation of Inverse Trigonometric Functions
  56. 56If . Then, which of the following is true?2013Continuity
  57. 57If . Then, is equal to2013Differentiation of composite functions
  58. 58If is a function such that and and , then is equal to2013Variable Separable Form
  59. 59If and , then is equal to2013Exact Forms
  60. 60The function decreases in the interval2013Monotonicity

Physics

  1. 1The speed of light in media and are and respectively. A ray travels from medium to the medium with an angle of incidence . The ray suffers t2013Critical angle and total internal reflection
  2. 2Which of the following phenomena support the wave theory of light? (1) Scattering (2) Interference (3) Diffraction (4) Velocity of light in 2013Wave Theory and Wavefronts
  3. 3White light reflected from a soap film (Refractive Index ) has a maxima at and a minima at with no minimum in between. Then the thickness of2013Youngs Double Slit Experiment
  4. 4A cylindrical tube of length and radius with sugar solution of concentration produce a rotation of in the plane of vibration of a plane pola2013Polarization of Light
  5. 5Radii of curvature of a converging lens are in the ratio . Its focal length is and refractive index is . Then its radii of curvature are ...2013Lens Formula, Refraction of light from curved surface
  6. 6A small oil drop of mass is hanging in at rest between two plates separated by having a potential difference of . The charge on the drop is 2013Electric Potential and Potential Energy
  7. 7A uniform electric field in the plane of the paper as shown. Here and are the ponits on the circle. and are the potentials at those points r2013Electric Potential and Potential Energy
  8. 8Two metal spheres of radii and are given a charge of and respectively. They are then connected by a wire. The final charge on the first sphe2013Electric Potential and Potential Energy
  9. 9The concentric spheres of radii and have positive charges and with equal surface charge densities. What is the electric potential at their c2013Electric Potential and Potential Energy
  10. 10When an additional charge of is given to a capacitor, energy stored in it is increased by . The original charge of the capacitor is2013Force and Energy stored in capacitor
  11. 11When a potential difference of is applied between and , a charge of is value of is (in )2013Grouping of capacitors
  12. 12See the diagram. Area of each plate is and . A charge of is given to . Then the potential of becomes2013Capacitance
  13. 13Three conductors draw currents of and 3 A respectively, when connected in turn across a battery. If they are connected in series and the com2013Combination of Resistances
  14. 14In the circuit, . The value of and are resistance2013Resistance and Resistivity
  15. 15Masses of three wires of copper are in the ratio of and their lengths are in the ratio of . The ratio of their electrical resistances is2013Resistance and Resistivity
  16. 16For a transformed, the turns ratio is 3 and its efficiency is . The current flowing in the primary coil is and the voltage applied to it is 2013Transformers
  17. 17A proton and helium nucleus are shot into a magnetic field at right angles to the field with same kinetic energy. Then the ratio of their ra2013Motion of Charged Particle in Magnetic Field
  18. 18Two identical circular coils and are kept on a horizontal tube side by side without touching each other. If the current in the coil increase2013Magnetic Flux, Faraday's and Lenz law
  19. 19In the diagram, are the strength of the currents in the loop and straight conductors respectively. . The net magnetic field at the centre is2013Magnetic Field
  20. 20Two tangent galvanometers, which are identical except in their number of turns, are connected in parallel. The ratio of their resistances of2013Electric Instruments
  21. 21A charged particle with a velocity passes undeflected through electric field and magnetic fields in mutually perpendicular directions. The m2013Motion of Charged Particle in Magnetic Field
  22. 22In series circuit, the potential differences across each element is . Now the value of the resistance alone is doubled, then P.D. across and2013AC Circuits
  23. 23A rectangular coil of 100 turns and size is placed perpendicular to a magnetic field of . If the field drops to in , the magnitude of the e.2013Induced Electric Field
  24. 24In the circuit diagram, heat produces in and are in the ratio of2013Combination of Resistances
  25. 25A series combination of resistor , capacitor (C) is connected to an A.C. source of angular frequency . Keeping the voltage same, if the freq2013AC Circuits
  26. 26Pick out the correct statement from the following2013Atomic Spectrum
  27. 27Light emitted during the de excitation of electron from to , when incident on a metal, photoelectrons are just emitted from that metal. In w2013Photoelectric Effect
  28. 28The additional energy that should be given to an electron to reduce its de-Broglie wavelength from to is2013Matter Waves
  29. 29The ionisation energy of an electron in the ground state of helium atom is . The energy required to remove both the electron is2013Nuclear energy
  30. 30The figure shows the energy level of certain atom. When the electron de excites from to , an electromagentic wave of wavelength is emitted. 2013Bohr's Atomic Model
  31. 31Maximum velocity of the photoelectron emitted by a metal is . Take the value of specific charge of the electron is . Then the stopping poten2013Photoelectric Effect
  32. 32and are used to illuminate the slits. and are the corresponding fringe widths. The wavelength can produce photoelectric effect when incident2013Youngs Double Slit Experiment
  33. 33Pick out the correct statements from the following I. Electron emission during -decay is always accompanied by neutrino. II. Nuclear force i2013Radioactivity
  34. 34A nucleus emits an -particle with velocity . The recoil speed of the daughter nucleus is2013Radioactivity
  35. 35A radioactive substance emits 100 beta particles in the first and 50 beta particles in the next . The mean life of the sample is2013Radioactivity
  36. 36In which of the following statements, the obtained impure semiconductor is of -type?2013Semiconductors
  37. 37The width of the depletion region in a junction diode is2013Diodes
  38. 38When the transistor is used as an amplifier2013Junction Transistors
  39. 39Which of the following is not made by quarks?2013Atomic Structure
  40. 40Which one of the following is not correct?2013Radioactivity
  41. 41The output of an OR gate is connected to both the inputs of a NAND gate. The combination will serve as2013Logic gates
  42. 42and are the two radioactive elements. The mixtue of these elements show a total activity of 1200 disintergrations/minute. The half-life of i2013Radioactivity
  43. 43The binding energy/nucleon of deuteron and the helium atom are and respectively. If the two deuteron atoms fuse to form a single helium atom2013Nuclear energy
  44. 44Which one of the following is not correct?2013Dimensions
  45. 45In a lift moving up with an acceleration of , a ball is dropped from a height of . The time taken by the ball to reach the floor of the lift2013Motion Under Gravity
  46. 46A gun fires a small bullet with kinetic energy . Then kinetic energy of the gun while recoiling is2013Energy
  47. 47From a fixed support, two small identical spheres are suspended by means of strings of length each. They are pulled aside as shown and then 2013Angular oscillations
  48. 48A truck accelerates from speed to . Work done in during this is2013Energy
  49. 49Earth is moving around the sun in elliptical orbit as shown. The ratio of and is . Then the ratio of Earth's velocities at and is2013Motion of satellite
  50. 50A projectile is projected at by making at an angle to the horizontal. After some time its velocity makes an angle of to the horizontal. Its 2013Projectile motion
  51. 51For which combination of working temperatures of source and sink, the efficiency of Carnot's heat engine is maximum?2013Heat Engine, Refrigerator and Second Law of Thermodynamics
  52. 52A solid cylinder of radius made of a material of thermal conductivity is surrounded by a cylindrical shell of inner radius and outer radius 2013Conduction
  53. 53Two stars and radiate maximum energy at the wavelength of and respectively. Then the ratio of the surface temperatures of and is2013Radiation
  54. 54Two solids and float in water. It is observed that floats with half of its volume immersed and floats with rd of its volume is immersed. The2013Archmidies Principle
  55. 55The equation of a transverse wave is given by , where are in metre and is in second. The minimum distance of separation between two particle2013Basics of Mechanical Waves
  56. 56The frequency of the second overtone of the open pipe is equal to the frequency of the first overtone of the closed pipe. The ratio of the l2013Organ Pipe (Vibration of Air Column)
  57. 57A person with vibrating tuning fork of frequency is moving towards a vertical wall with a speed of . Velocity of sound in air is . The numbe2013Beats
  58. 58Pick out the wrong statement from the following2013Refraction of light from plane surface
  59. 59The refraction through the prisms are as shown. Pick out the wrong statement from the following. Path of the light ray in2013Prism and Dispersion of Light
  60. 60The distance between an object and its image produced by a converging lens is . The magnification is 2 . What will be the magnification when2013Mirror Formula, Reflection in Spherical Mirror

Frequently Asked Questions

1.How many questions are in the KCET 2013 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.How is the KCET 2013 paper structured?

The KCET 2013 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.How difficult is the KCET 2013 paper?

Each question on MARKS carries a difficulty rating. Of the 180 rated questions in this paper, 92 (51%) are easy, 61 (34%) are medium and 27 (15%) are hard. Subject wise:

  • Chemistry: 36 easy, 16 medium, 8 hard
  • Mathematics: 27 easy, 20 medium, 13 hard
  • Physics: 29 easy, 25 medium, 6 hard
5.Which chapters were asked the most in the KCET 2013 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (6), Hydrocarbons (4), and Ionic Equilibrium (4).
  • Mathematics: Application of Derivatives (5), Circle (4), and Differential Equations (4).
  • Physics: Nuclear Physics (7), Current Electricity (5), and Ray Optics (5).
6.Where can I find the solutions for the KCET 2013 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 2013 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 2013 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.