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KCET 2015

Browse the complete Chemistry, Mathematics, and Physics question set from the KCET 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 180 questions in total - 90 easy (50%), 58 moderate (32%) and 32 tough (18%). 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 52% easy, 37% moderate, 12% tough; Mathematics 48% easy, 30% moderate, 22% tough; Physics 50% easy, 30% moderate, 20% tough.

Chemistry questions were spread across 28 chapters, with Chemical Bonding and Molecular Structure (4), Electrochemistry (4), and Alcohols Phenols and Ethers (3) carrying the most weight. Mathematics questions were spread across 27 chapters, with Determinants (5), Differentiation (5), and Application of Derivatives (4) carrying the most weight. Physics questions were spread across 27 chapters, with Current Electricity (7), Electrostatics (5), and Magnetic Effects of Current (4) carrying the most weight.

Chemistry

  1. 1The unit cell with crystallographic dimensions, \( a b c, =y=90^{ } \) and \( 90^{ } \) is2015Crystal Structure of Solids
  2. 2While charging the lead storage battery,2015Commercial Cells and Batteries
  3. 3Adenosine is an example of2015Laws of Thermochemistry and Enthalpy Change
  4. 4Orion has monomeric unit2015Preparation and Properties of Polymers
  5. 5The two electrons have the following set of quantum numbers : \[ {array}{l} P=3,2,-2,+ {1}{2} \\ Q=3,0,0,+ {1}{2} {array} \] Which of the fo2015Quantum mechanical model
  6. 6\( {H}_{2} {O}_{2} \) cannot oxidise2015Commercial Cells and Batteries
  7. 7In the given set of reactions. the IUPAC name of product ' \( Y \) ' is2015Chemical properties of hydrogen peroxide
  8. 8On heating with concentrated \( {NaOH} \) solution in an inert atmosphere of \( {CO}_{2} \), white phosphorous gives a gas. Which of the fol2015Preparation and Properties of Amines
  9. 9Sodium metal crystallizes in B.C.C. lattice with edge length of \( 4.29 {~A} \). The radius of sodium atom is2015Cubic system
  10. 10\( 0.06 \%( {w} / {v}) \) aqueous solution of urea is isotonic with2015Colligative Properties and Abnormal Molecular Masses
  11. 11In a first order reaction, the concentration of the reactant is reduced to \( 12.5 \% \) in one hour. When was it half completed?2015Integrated rate laws
  12. 12The electrolyte having maximum flocculation value for \( A g l / A g^{+} \)sol. is2015Phosphorus and Its Compounds
  13. 13Copper is extracted from Copper pyrites by heating in a Bessemer converter. The method is based on the principle that2015Refining of Crude Metal
  14. 14Which of the following will be able to show geometrical isomerism ?2015Isomerism of coordination compounds
  15. 15The electronic configuration of \( G d^{2+} \) is (at. no. of \( G d \) is 64)2015Properties of D-block elements
  16. 16Preview not available - open to view this question.2015Extraction of Metals
  17. 17The hydrolysis of optically active \( 2 \)-bromobutane with aqueous \( {NaOH} \) result in the formation of2015Properties and Preparation of Alkanes
  18. 18The distinguishing test between methanoic acid and ethanoic acid is2015Tests for aldehyde and ketones
  19. 19In \( {H}_{2}- {O}_{2} \) fuel cell the reaction occurring at cathode is2015Commercial Cells and Batteries
  20. 20Which of the following curve is in accordance with Freundlich adsorption isotherm?2015Adsorption isotherms
  21. 21How many ions per molecule are produced in the solution when Mohr salt is dissolved in excess of water?2015Terminology of coordination compounds
  22. 22Glycogen is2015Disaccharides and Polysaccharides
  23. 23Number of possible alkynes with formula \( {C}_{5} {H}_{8} \) is2015Isomerism of Organic Compounds
  24. 24Which of the following aqueous solution has the highest freezing point?2015Colligative Properties and Abnormal Molecular Masses
  25. 25Half life period of a first order reaction is \( 10 {~min} \). Starting with initial concentration \( 12 {M} \), the rate after \( 20 {~min}2015Integrated rate laws
  26. 26The salt which responds to dilute and concentrated \( {H}_{2} {SO}_{4} \) is2015Alkaline Earth Metals
  27. 27On heating potassium permanganate, one of the following compound is not obtained:2015Compounds of Transition Metals
  28. 28The product 'B' is2015Preparation and Properties of Alcohols
  29. 29The formation of cyanohydrin from a ketone is an example of2015Chemical reactions for aldehydes and ketones
  30. 30Which one of the following is an essential amino acid.2015Properties and Preparation of Amino Acids
  31. 31The aqueous solution of following salt will have the lowest \( {pH} \) :2015PH of solutions
  32. 32For one of the element various successive ionization enthalpies (in \( {kJ} {mol}^{-1} \) ) are given below The element is2015Periodic properties
  33. 33\( 0.30 {~g} \) of an organic compound containing \( {C}, {H} \) and Oxygen on combustion yields \( 0.44 {~g} {CO}_{2} \) and \( 0.18 {~g} {2015Quantitative measures in chemical equations
  34. 34Which one of the following amide will not undergo Hoffmann bromamide reaction :2015Preparation and Properties of Amines
  35. 35Cheilosis and digestive disorders are due to the deficiency of2015Vitamins
  36. 36How many Coulombs of electricity are required for the oxidation of one mol of water to dioxygen?2015Cells and Electrode Potential, Nernst Equation
  37. 37\( 100 {~cm}^{3} \) of \( 1 {M} {CH}_{3} {COOH} \) was mixed with \( 100 {~cm}^{3} \) of \( 2 {MCH}_{3} {OH} \) to form an ester. The change2015Rate law and rate constant
  38. 38Which of the following colloids cannot be easily coagulated?2015Colloids
  39. 39The complex ion having minimum magnitude of \( _{0}(C F S E) \) is2015Crystal Field Theory
  40. 40The arrangement of following compounds : i. bromomethane ii. bromofonn iii. chloromethane iv. dibromomethane In the increasing order of thei2015Characteristics of covalent compound
  41. 41lodoform can be prepared from all, except2015Tests for aldehyde and ketones
  42. 42Identify ' \( Q \) ' in the following sequence of reactions :2015Reactions of Ethers
  43. 43Cryolite is2015Extraction of Metals
  44. 44Which of the following compound of Xenon has pyramidal geometry?2015Noble Gases
  45. 45After adding non-volatile solute freezing point of water decreases to \( -0.186^{ } {C} . \) Calculate \( T_{b} \) if \( K_{ {f}}=1.86 K {~k2015Colligative Properties and Abnormal Molecular Masses
  46. 46Plot of Maxwell's distribution of velocities is given below : which of the following is correct about this plot?2015Kinetic theory of gases
  47. 47The pair of compound which cannot exist together in solution is2015Compounds of Alkali Metals
  48. 48What amount of dioxygen (in gram) contains \( 1.8 10^{22} \) molecules ?2015Mole concept
  49. 49Using MOT, compare \( {O}_{2}^{+} \)and \( {O}_{2}^{-} \)species and choose the incorrect option.2015Molecular Orbital Theory
  50. 50Which of the following is not true?2015Drugs and It's Classification
  51. 51In the reaction \( {S}+ {3}{2} {O}_{2} {SO}_{3}+2 {kJ} \) and \( {SO}_{2}+ {1}{2} {O}_{2} {SO}_{3}+y {~kJ} \) heat of formation of \( {SO}_{2015Laws of Thermochemistry and Enthalpy Change
  52. 52Arrange the following compounds in the increasing order of their acidic strength : i. m-nitrophenol ii. m-cresol iii. phenol iv. m-chlorophe2015Reactions of Phenol
  53. 53In the sequence of following reactions : the sarting compound ' \( P \) ' is2015Preparation and Properties of Acid Derivatives
  54. 54Acetic acid is treated with \( {Ca}( {OH})_{2} \) and the product so obtained is subjected to dry distillation. The final product is2015Properties and Preparation of Alkanes
  55. 55The correct statement is2015Boron and Its Compounds
  56. 56Which of the following compound possesses the " \( {C}- {H} \) " bond with the lowest bond dissociation energy?2015Laws of Thermochemistry and Enthalpy Change
  57. 57In presence of \( {HCl}, {H}_{2} {~S} \) results the precipitation of Group-2 elements but not Gp-4 elements during qualitative analysis. It2015Ionic bond
  58. 58One of the following conversion results in the change of hybridization and geometry :2015Hybridisation and VSEPR Theory
  59. 59Water softening by Clark's process uses2015Preparation and Properties of Water
  60. 60An alkali metal hydride \( ( {NaH}) \) reacts with diborane in ' \( A \) ' to give a tetrahedral compound 'ET which is extensively used as r2015Boron and Its Compounds

Mathematics

  1. 1\[ f(x)= {1}{2}- ( { x}{2} )-1 Find domain of \( (f+g) \)2015Order and Degree
  2. 2Write the set builder form \( A=\{-1,1\}: \)2015Linear Differential Equation
  3. 3If the operation \( \) is defined by \( a b=a^{2}+b^{2} \) for all real numbers 'a' and 'b', then \( (2 3) \) \( 4= \)2015Sum and Difference & Multiple angle Formula
  4. 4If \( Z= {( {3}+i)^{3}(3 i+4)^{2}}{(8+6 i)^{2}} \), then \( |Z| \) is equal to2015Multiplication of Determinants
  5. 5If \( \) and \( \) are the roots of \( x^{2}-a x+b^{2}=0 \), then \( ^{2}+ ^{2} \) is equal to2015Differentiation and Integration of Determinants
  6. 6If the \( 2^{ {nd }} \) and \( 5^{ {th }} \) terms of G.P. are \( 24 \) and \( 3 \) respectively, then the sum of \( 1^{ {st }} \) six terms2015Basic Forms of Straight Line
  7. 7The middle term of expansion of \( ( {10}{x}+ {x}{10} )^{10} \)2015Types of Function (Mapping)
  8. 8If \( | {array}{ccc}2 a & x_{1} & y_{1} \\ 2 b & x_{2} & y_{2} \\ 2 c & x_{3} & y_{3} {array} |= {a b c}{2} 0 \), then the area of the trian2015Inequalities
  9. 9The shaded region shown in fig. is given by the inequation2015Domain
  10. 10\( [(-p) q] \) is logically equivalent to2015Questions on number of relations and sets
  11. 11The value of \( ^{-1} ( {2 {2}}{3} )+ ^{-1} ( {1}{3} ) \) is equal to2015Mathematical Reasoning
  12. 12If the eccentricity of the hyperbola \( {x^{2}}{a^{2}}- {y^{2}}{b^{2}}=1 \) is \( {5}{4} \) and \( 2 x+3 y-6=0 \) is a focal chord of the hy2015Conjugate, modulus and argument
  13. 13If \( {a}= {i}+2 {j}+2 {k},| {b}|=5 \) and the angle between \( {a} \) and \( {b} \) is \( { }{6} \), then the area of the triangle formed b2015Relation between Roots and Coefficients
  14. 14Let \( {a}=i-2 j+3 k \) if \( {b} \) is a vector such that \( {a} {b}=| {b}|^{2} \) and \( | {a}- {b}|= {7} \), then \( | {b}|= \)2015Geometric Progression
  15. 15If direction cosines of a vector of magnitude 3 are \( {2}{3},- {1}{3}, {2}{3}\) and \(a>0\), then vector is2015Terms of Binomial Expansion
  16. 16Equation of line passing through the point \( (2,3,1) \) and parallel to the line of intersection of the plane \( x-2 y-z+5=0 \) and \( x+y+2015Expansion of Determinants
  17. 17Foot of perpendicular drawn from the origin to the plane \( 2 x-3 y+4 z=29 \) is2015Linear Programming
  18. 18If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than \( 5 \) is2015Mathematical Reasoning
  19. 19If \( y=f (x^{2}+2 ) \) and \( f^{ }(3)=5 . \) then \( {d y}{d x} \) at \( x=1 \) is2015Sum of complementary angles
  20. 20If \( x=a ^{3} , y=a ^{3} \), then \( 1+ ( {d y}{d x} )^{2} \) is2015Equation of hyperbola
  21. 21Slope of Normal to the curve \( y=x^{2}- {1}{x^{2}} \) at \( (-1,0) \) is2015Product of 2 vectors
  22. 22\( {1}{x^{2} (x^{4}+1 )^{3 / 4}} {dx} \) is equal to2015Algebra of Vectors
  23. 23If \( f: R R \) is defined by \( f(x)= {x}{x^{2}+1} \) find \( f(f(2)) \)2015Direction Cosines and Direction Ratios
  24. 24Evaluate \( | {array}{cc} 15 & 15 \\ 75 & 75 {array} | \)2015Line in Space
  25. 25A man takes a step forward with probability \( 0.4 \) and one step backward with probability \( 0.6 \), then the probability that at the end2015Plane in Space
  26. 26\( _{0}^{ / 4} ( { x+ x}{ x} ) d x \)2015Total Probability
  27. 27Area bounded by \( y=x^{3}, y=8 \) and \( x=0 \) is2015Functional Equation
  28. 28Let \(a=i+j+k, b=i-j+k\) and \(c=i-j-k\) be three vectors. A vector \(v\) in the plane of a and \(b\), whose projection on \(c\) is \(1 / {32015Parametric differentiation
  29. 29The mean deviation from the data \( 3,10,10,4,7,10,5 \) :2015Tangent Normal
  30. 30The probability distribution of \( x \) is find the value of \( k \)2015Integration by Substitution
  31. 31If the function \( g(x) \) is defined by \[ g(x)= { ^{200}}{200}+ { ^{199}}{199}+ { ^{198}}{198}+ + { ^{2}}{2}+ +5, { then } g^{ }(0)= \]2015Composite Function
  32. 32A box contains \( 6 \) red marbles numbers from \( 1 \) through \( 6 \) and \( 4 \) white marbles \( 12 \) through \( 15 . \) Find the proba2015Expansion of Determinants
  33. 33\( _{x 0} {1- x}{x^{2}} \) is2015Bernoulli Trial and Binomial Distribution
  34. 34\( f(x)= \{ {array}{cl}3 x-8 & { if } x 5 \\ 2 k & { if } x>5 {array} . \) is continuous, find \( k . \)2015Properties of Definite Integration
  35. 35If \( f(x)=2 x^{2} \), find \( {f(3.8)-f(4)}{3.8-4} \)2015Area of Curve along axis
  36. 36If \( x=c t \) and \( y= {c}{t} \), find \( {d y}{d t} \) at \( t=2 \)2015Product of 2 vectors
  37. 37A balloon which always remains spherical is being inflated by pumping in \( 10 \) cubic centimeters of gas per second. Find the rate at whic2015Relation Between Variance and Mean Deviation
  38. 38\( { ^{2} x}{1+ x} d x \)2015Random Variable and its Probability Distribution
  39. 39\( e^{x} ( {1+ x}{1+ x} ) d x \) is2015Functional Equation
  40. 40If \( 1, w, w^{2} \) are three cube roots of unity, then \( (1- + ^{2} ) (1+ - ^{2} ) \) is2015Conditional Probability and Multiplication Theorem
  41. 41Solve for \( x \) \[ ^{-1} ( {1-x}{1+x} )= {1}{2} ^{-1} x, x>0 \]2015Algebraic and Rational Limits
  42. 42The system of linear equations \( x+y+z=6, x+2 y+3 z=10 \) and \( x+2 y+a z=b \) has no solutions when2015Continuity
  43. 43The value of \( (1^{ } )+ (89^{ } ) \) is2015Differentiability
  44. 44If \( {(x+1)^{2}}{x^{3}+x}= {A}{x}+ {B x+C}{x^{2}+1} \), then \( {cosec}^{-1} ( {1}{A} )+ ^{-1} ( {1}{B} )+ ^{-1} C= \)2015Parametric differentiation
  45. 45The remainder obtained when \( 1 !+2 !+3 !+ +11 ! \) is divided by \( 12 \) is2015Rate Measure Error and Approximation
  46. 46If \( 2 ^{-1} x+ ^{-1} x \), then2015Miscellaneous Forms
  47. 47If \( A= [ {array}{cc}0 & 1 \\ 1 & 0 {array} ] \), then \( A^{2} \) equal to2015Integration by Parts
  48. 48The function \( f(x)=[x] \), where \( [x] \) denotes greatest integer function is continuous at2015Cube Root of Unity
  49. 49If \( y= ( {1-x^{2}}{1+x^{2}} ) \), then \( {d y}{d x} \) is equal to2015Sum and difference of angles
  50. 50The two curves \( x^{3}-3 x y^{2}+2=0 \) and \( 3 x^{2} y-y^{3}=2 \)2015System of Linear Equations
  51. 51If \( x \) is real, then the minimum value of \( x^{2}-8 x+17 \) is2015Basic Identities & T Ratios
  52. 52\( _{- / 4}^{ {II } / 4} {d x}{1+ 2 x} \) is equal to2015Multiple Angles
  53. 53The order of differential equation of all circles of given radius ' \( a \) ' is2015Remainder and Divisibility Problems
  54. 54The solution of differential equation \[ x {d y}{d x}+2 y=x^{2} { is } \]2015Principal Value and Basics
  55. 55If \( x+ y= {1}{2} \) and \( x+ y=1 \), then \( (x+y)= \)2015Product of Matrices
  56. 56If \( {A}= [ {array}{ll} & 2 \\ 2 & {array} ] \) and \( | {A}^{3} |=27 \), then \( = \)2015Continuity
  57. 57If \( {P}= | {array}{ll}x & 1 \\ 1 & x {array} | \) and \( {Q}= | {array}{lll}x & 1 & 1 \\ 1 & x & 1 \\ 1 & 1 & x {array} | \),then \( {d Q}2015Differentiation of composite functions
  58. 58A line passes through \( (2,2) \) and is perpendicular in the line \( 3 x+y=3 \) its \( y \)-intercepts is2015Tangent Normal
  59. 59Let \( f: R R \) be defined by \( f(x)= {1}{x} R \), then \( f \) is2015Maxima Minima
  60. 60The solution set of the inequation \( {x^{2}+6 x-7}{|x+4|} < 0 \) is2015Properties of Definite Integration

Physics

  1. 1The ratio of the dimensions of Planck constant and that of moment of inertia has the dimensions of2015Diodes
  2. 2The velocity - time graph for two bodies A and B are shown. Then the acceleration of A and B are in the ratio:2015Modulation
  3. 3A particle is projected with a velocity \( v \) so that its horizontal range twice the greatest height attained. The horizontal range is2015Special purpose diodes
  4. 4A stone of mass \( 0.05 {~kg} \) is thrown vertically upwards. What is the direction and magnitude of net force on the stone during its upwa2015Propagation of EM Waves
  5. 5The kinetic energy of a body of mass \( 4 {~kg} \) and momentum \( 6 {Ns} \) will be2015Logic gates
  6. 6The ratio of angular speed of a second-hand to the hour-hand of a watch is2015Junction Transistors
  7. 7If the mass of a body is \( M \) on the surface of the earth, the mass of the same body on the surface of the moon is2015Projectile motion
  8. 8Moment of Inertia of a thin uniform rod rotating about the perpendicular axis passing through its centre is \( I \). If the same rod is bent2015Graphs of motion in one dimension
  9. 9The ratio of hydraulic stress to the corresponding strain is known as2015Dimensions
  10. 10The efficiency of a Carnot engine which operates between the two temperatures \( T_{1}=500 {~K} \) and \( T_{2}=300 {~K} \) is2015Moment of inertia of rigid bodies
  11. 11Water is heated from \( 0^{ } {C} \) to \( 10^{ } {C} \). then its volume2015Gravitational field
  12. 12\( 1 \) gram of ice is mixed with \( 1 \) gram of steam. At thermal equilibrium, the temperature of the mixture is2015Uniform Circular Motion
  13. 13The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance bein2015Energy
  14. 14When two tuning forks \( A \) and \( B \) are sounded together. \( 4 \) beats per second are heard. The frequency of the fork \( {B} \) is \2015Newton's laws of motion
  15. 15A stretched string is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respective2015Energy of Simple Harmonic Motion
  16. 16Two spheres carrying charges \( +6 {C} \) and \( +9 {C} \). separated by a distance \( {d} \), experiences a force of repulsion \( F \). Whe2015Calorimetry
  17. 17Pick out the statement which is incorrect.2015Thermal Expansion
  18. 18The angle between the dipole moment and electric field at any point on the equatorial plane is2015Heat Engine, Refrigerator and Second Law of Thermodynamics
  19. 19Three point charges \( 3 n C .6 n C \) and \( 9 n C \) are placed at the comers of an equilateral triangle of side \( 0.1 {~m} \). The poten2015Bulk Modulus
  20. 20A spherical shell of radius \( 10 {~cm} \) is carrying a charge \( {q} \). If the electric potential at distances \( 5 \) \( {cm}, 10 {~cm} 2015Electric Dipole
  21. 21A parallel plate capacitor is charged and then isolated. The effect of increasing the plate separation on charge, potential and capacitance 2015Electric Field and Electric Field Lines
  22. 22Four identical cells of emf \( E \) and internal resistance \( r \) are to be connected in series. Suppose if one of the cell is connected w2015Electric Charge and Coulomb's law
  23. 23Three resistances \( 2 , 3 \) and \( 4 \) are connected in parallel. The ratio of currents passing through them when a potential difference 2015Vibration of String
  24. 24Two cells of emf \( E_{1} \) and \( E_{2} \) are joined in opposition (such that \( E_{1}>E_{2} \) ). If \( r_{1} \) and \( r_{2} \) be the 2015Beats
  25. 25In the circuit shown below, the ammeter and the voltmeter readings are \( 3 {~A} \) and \( 6 {~V} \) respectively. Then the value of the res2015Electric Current and Drift of Electrons
  26. 26In Wheatstones network \( P=2 , Q=2 , R=2 \) and \( S=3 \). The resistance with which \( S \) is to shunted in order that the bridge may be 2015Electric Cell or Battery
  27. 27The resistance of the bulb filament is \( 100 \) at a temperature of \( 100^{ } {C} \). If its temperature co- efficient of resistance be \(2015Capacitance
  28. 28Two concentric coils each of radius equal to \( 2 {cm} \) are placed right angles to each other. If \( 3 {~A} \) and \( 4 {~A} \) are the cu2015Electric Potential and Potential Energy
  29. 29A proton beam enters a magnetic field of \( 10^{-4} {~Wb} m^{-2} \) normally. If the specific charge of the proton is \( 10^{11} {C} {kg}^{-2015Electric Potential and Potential Energy
  30. 30A cyclotron is used to accelerate2015Electric Instruments
  31. 31A galvanometer of resistance \( 50 \) gives a full scale deflection for a current \( 5 10^{-4} {~A} \). The resistance that should be connec2015Kirchoffs Laws
  32. 32Two parallel wires \( 1 {~m} \) apart carry currents of \( 1 {~A} \) and \( 3 {~A} \) respectively in opposite directions. The force per uni2015Motion of Charged Particle in Magnetic Field
  33. 33If there is no torsion in the suspension thread, then the time period of a magnet executing SHM is2015Magnetic Field
  34. 34Core of electromagnets are made of ferromagnetic material which has2015Resistance and Resistivity
  35. 35The magnetic susceptibility of a paramagnetic material at \( -73^{ } {C} \) is \( 0.0075 \) and its value at \( -173^{ } {C} \) will be2015Wheatstone Bridge
  36. 36Two coils have a mutual inductance \( 0.005 {H} \). The current changes in the first coil according to the equation \( i=i_{m} t \) where \(2015Magnetic Materials and their Properties
  37. 37An aircraft with a wingspan of \( 40 {~m} \) flies with a speed of \( 1080 {~km} {~h}^{-1} \) in the eastward direction at a constant altitu2015Magnetic Equipments
  38. 38In an LCR circuit, at resonance2015Force and Torque on Current Carrying Conductor
  39. 39A transformer is used to light \( 100 {~W}-110 {~V} \) lamp from \( 220 {~V} \) mains. If the main current is \( 0.5 \) A, the efficiency of2015Electric Instruments
  40. 40The average power dissipated in a pure inductor is2015Motion of Charged Particle in Magnetic Field
  41. 41If \( _{0} \) and \( _{0} \) are the permittivity and permeability of free space and \( \) and \( \) are the corresponding quantities for a 2015Transformers
  42. 42A person wants a real image of his own, \( 3 \) times enlarged. Where should he stand infront of a concave mirror of radius of curvature \( 2015AC Circuits
  43. 43Calculate the focal length of a reading glass of a person if his distance of distinct vision is \( 75 \) \( {cm} \).2015Motional and Rotational EMF
  44. 44In a Young's double slit experiment the slit separation is \( 0.5 {~m} \) from the slits. For a monochromatic light of wavelength \( 500 {~n2015Self and Mutual Inductance
  45. 45To observe diffraction, the size of the obstacle2015Magnetism and Properties of Magnet
  46. 46The polarizing angle of glass is \( 57^{ } \). A ray of light which is incident at this angle will have an angle of refraction as2015Youngs Double Slit Experiment
  47. 47Light of two different frequencies whose photons have energies \( 1 {eV} \) and \( 2.5 {eV} \) respectively, successively illuminate a metal2015Lens Formula, Refraction of light from curved surface
  48. 48Find the de-Broglie wavelength of an electron with kinetic energy of \( 120 {eV} \).2015Mirror Formula, Reflection in Spherical Mirror
  49. 49An a-particle of energy \( 5 {MeV} \) is scattered through \( 180^{ } \) by gold nucleus. The distance of closest approach is of the order o2015Electromagnetic Waves and Maxwell's equations
  50. 50If an electron in hydrogen atom jumps from an orbit of level \( n=3 \) to an orbit of level \( n=2 \). the emitted radiation has a frequency2015Alternating Current, Voltage and Power
  51. 51What is the wavelength of light for the least energetic photon emitted in the Lyman series of the hydrogen spectrum, (take hc \( =1240 {eV} 2015Atomic Structure
  52. 52A nucleus at rest splits into two nuclear parts having radii in the ratio \( 1: 2 \). Their velocities are in the ratio2015Matter Waves
  53. 53The half life of a radioactive substance is \( 20 \) minutes. The time taken between \( 50 \% \) decay and \( 87.5 \% \) decay of the substa2015Photoelectric Effect
  54. 54A radioactive decay can form an isotope of the original nucleus with the emission of particles2015Polarization of Light
  55. 55An LED is constructed from a pn junction based on a certain semi-conducting material whose energy gap is \( 1.9 {eV} \). Then the wavelength2015Diffraction of Light
  56. 56Amplitude modulation has2015Radioactivity
  57. 57The circuit has two oppositely connected ideal diodes in parallel. What is the current flowing in the circuit?2015Radioactivity
  58. 58Die input characteristics of a transistor in CE mode is the graph obtained by plotting2015Nuclear structure
  59. 59The given truth table is for2015Atomic Spectrum
  60. 60The waves used for line-of-sight (LOS) communication is2015Atomic Spectrum

Frequently Asked Questions

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

The KCET 2015 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 2015 paper?

Each question on MARKS carries a difficulty rating. Of the 180 rated questions in this paper, 90 (50%) are easy, 58 (32%) are medium and 32 (18%) are hard. Subject wise:

  • Chemistry: 31 easy, 22 medium, 7 hard
  • Mathematics: 29 easy, 18 medium, 13 hard
  • Physics: 30 easy, 18 medium, 12 hard
5.Which chapters were asked the most in the KCET 2015 paper?

The chapters with the most questions in each subject were:

  • Chemistry: Chemical Bonding and Molecular Structure (4), Electrochemistry (4), and Alcohols Phenols and Ethers (3).
  • Mathematics: Determinants (5), Differentiation (5), and Application of Derivatives (4).
  • Physics: Current Electricity (7), Electrostatics (5), and Magnetic Effects of Current (4).
6.Where can I find the solutions for the KCET 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 KCET 2015 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 2015 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.