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The Goa Common Entrance Test (GCET) is the state-level entrance examination conducted by the Directorate of Technical Education, Goa, for admission into professional degree courses in the state. The GCET aims to assess a candidate's suitability to pursue technical and professional education programs offered by various colleges in Goa. The GCET exam consists of multiple choice objective-type questions covering Physics, Chemistry, Mathematics, and Biology subjects for different streams. It is typically a 3-hour long pen and paper based test. Some premier institutes like BITS Pilani, Goa Campus also accept GCET scores for engineering admissions.
The GCET results are usually declared within a month of the entrance exam. In 2023, the GCET exam is scheduled to be conducted from May 8-10 while in 2024, the tentative exam dates would be in the first or second week of May. The results would be declared most likely by the first week of June for respective years. Students qualifying in the GCET exam and meeting required cut-offs can seek admission into degree programs like MBBS, BDS, B.E, B.Pharm, among others offered at various colleges affiliated with Goa University as well as private institutions based on counselling and merit.
The GCET (Goa Common Entrance Test) Syllabus for 2024 is designed to assess candidates' knowledge in subjects like physics, chemistry, mathematics, and biology, depending on the course they aspire to pursue. The syllabus adheres to the curriculum of the Goa Board of Secondary & Higher Secondary Education.
| Subject | Syllabus |
|---|---|
| Physics | * Mechanics * Waves * Thermodynamics * Optics * Electricity and Magnetism * Modern Physics |
| Chemistry | * Physical Chemistry * Inorganic Chemistry * Organic Chemistry |
| Mathematics | * Algebra * Trigonometry * Calculus * Geometry * Coordinate Geometry |
| Units | Topics |
|---|---|
| Unit 1 | Electromagnetic Waves |
| Unit 2 | Communication Systems |
| Unit 3 | Current Electricity |
| Unit 4 | Electronic Devices |
| Unit 5 | Electrostatics |
| Unit 6 | Optics |
| Unit 7 | Atoms and Nuclei |
| Unit 8 | Magnetic Effect of Current and Magnetism |
| Unit 4 | Electromagnetic Induction and Alternating Current |
| Unit | Topics |
|---|---|
| I. Algebra | Algebra of matrices: Addition, subtraction, multiplication, transpose, inverse, determinant, properties of matrices. Systems of linear equations: Solution of systems of linear equations using Gaussian elimination, Cramer's rule, and matrix inversion. Quadratic equations: Nature of roots, solution of quadratic equations using factorization, formula, and completing the square. Inequalities: Linear inequalities, quadratic inequalities, absolute value inequalities, triangular inequalities, AM-GM inequality, Cauchy-Schwarz inequality. |
| II. Trigonometry | Trigonometric functions: Definition, properties, and graphs of trigonometric functions. Trigonometric identities: Sum-to-product and product-to-sum identities, double angle and half angle identities, trigonometric equations. Applications of trigonometry: Height and distance, inverse trigonometric functions. |
| III. Calculus | Limits and continuity: Definition of limits, one-sided limits, continuity, and properties of continuous functions. Differentiation: Definition of derivative, derivatives of trigonometric, exponential, and logarithmic functions, chain rule, product rule, quotient rule, and higher order derivatives. Applications of differentiation: Maxima and minima, tangents and normals, velocity and acceleration, and rates of change. Integration: Definition of integral, fundamental theorem of calculus, indefinite and definite integrals, methods of integration (integration by parts, substitution, and by partial fractions). Applications of integration: Areas under curves, volumes of solids, and lengths of curves. |
| IV. Geometry | Lines and planes: Distance between two points, equation of a line, angle between two lines, intersection of two lines, equation of a plane, distance between a point and a plane. Circles: Equation of a circle, properties of a circle, tangent to a circle, intersection of two circles. Conic sections: Definition, properties, and equations of parabola, ellipse, and hyperbola. Three-dimensional geometry: Direction cosines, direction ratios, scalar and vector triple products, equation of a plane passing through three points, equation of a line in three dimensions. |
| V. Coordinate Geometry | Coordinate system: Rectangular coordinate system, polar coordinate system, and conversion between the two systems. Distance and angle formulas: Distance between two points, angle between two lines, and slope of a line. Equation of a line: Point-slope form, slope-intercept form, two-point form, and intercept form. Equation of a circle: Standard form and general form. Equation of a parabola: Standard form and vertex form. Equation of an ellipse: Standard form and center-radius form. Equation of a hyperbola: Standard form and center-radius form. |
| VI. Probability | Basic concepts: Definition of probability, sample space, events, and mutually exclusive events. Conditional probability: Definition of conditional probability and Bayes' theorem. Random variables: Definition of random variables, probability distribution, mean, variance, and standard deviation. Binomial distribution: Definition, properties, and mean and variance of binomial distribution. |
| Unit | Topics |
|---|---|
| I. Solid State | Structure of solids: Crystal structures, unit cells, X-ray diffraction. Properties of solids: Electrical conductivity, thermal conductivity, mechanical properties. |
| II. Solutions | Types of solutions: Ideal solutions, non-ideal solutions, colligative properties. Solubility: Factors affecting solubility, solubility product. |
| III. Electrochemistry | Redox reactions: Oxidation states, balancing redox reactions, electrochemical cells. Electrolytic cells: Electrolysis of fused salts and aqueous solutions. |
| IV. Chemical Kinetics | Factors affecting reaction rates: Concentration, temperature, pressure, catalyst. Rate laws: Order and molecularity of reactions. |
| V. Surface Chemistry | Adsorption: Types of adsorption, adsorption isotherms. Catalysis: Types of catalysts, heterogeneous catalysis. |
| VI. General Principles and Processes of Isolation of Elements | Principles of isolation: Concentration, purification, and reduction. Processes of isolation: Metallurgical processes, hydrometallurgical processes, and electrochemical processes. |
| VII. P-Block Elements | Chemistry of p-block elements: Group 13 elements, group 14 elements, group 15 elements, group 16 elements, group 17 elements, and group 18 elements. |
| VIII. D-Block Elements | Chemistry of d-block elements: Electronic configuration, properties, and coordination compounds. |
| IX. Coordination Compounds | Structure and bonding in coordination compounds: Werner's coordination theory, valence bond theory, and crystal field theory. Isomerism in coordination compounds: Geometrical isomerism, optical isomerism, and linkage isomerism. |
| X. Haloalkanes and Haloarenes | Preparation, properties, and reactions of haloalkanes and haloarenes: Nucleophilic substitution reactions, elimination reactions, and free radical reactions. |
| XI. Alcohols, Phenols, and Ethers | Preparation, properties, and reactions of alcohols, phenols, and ethers: Oxidation reactions, dehydration reactions, and Williamson's ether synthesis. |
| XII. Aldehydes, Ketones, and Carboxylic Acids | Preparation, properties, and reactions of aldehydes, ketones, and carboxylic acids: Nucleophilic addition reactions, reduction reactions, and oxidation reactions. |
| XIII. Organic Compounds Containing Nitrogen | Preparation, properties, and reactions of organic compounds containing nitrogen: Amines, amides, and nitriles. |
| XIV. Biomolecules | Carbohydrates: Classification, structure, and properties of carbohydrates. Proteins: Classification, structure, and properties of proteins. Lipids: Classification, structure, and properties of lipids. Nucleic acids: Structure and properties of DNA and RNA. |
| XV. Polymers | Classification, structure, and properties of polymers: Natural and synthetic polymers, addition polymers, and condensation polymers. |
| Section | Number of Questions | Type of Questions | Marking Scheme |
|---|---|---|---|
| Physics | 75 | Multiple Choice Questions (MCQs) | 1 mark for each correct answer |
| Chemistry | 75 | MCQs | 1 mark for each correct answer |
| Mathematics | 75 | MCQs | 1 mark for each correct answer |
| Total | 225 | MCQs | 1 mark for each correct answer |
