UPMCAT MCA Entrance Test
1.MATHEMATICS
MODERN ALGERBA : Indempotent Law, Identities, Complementry Laws, Demorgan's Theorm, Mapping, Inverse Relation, Equivalence Relation, Paino's Axiom, Defination of rational & Integers through equivalence relation.
ALGEBRA : Surds, Solution of Simulaneous & Quadratic equations, Arithmatic, Geometric ad Harmonic Progression, Binomial Theorem for any Index, Logarithms, Exponential & Logarithms Series, Determinants.
PROBABILITY : Definition, Dependent & Independent Events, Numerical problems on addition & Multiplication theorems of Probability.
TRIGONOMETRY : Simple Identities, Trigonometric equations, Properties of triangles, Use of Mathematical tables, Solution of triangles, Heights & Distance, Inverse Function, Demoiver's Theorem.
CO-ORDINATE GEOMERTY : Co-ordinate Geomerty of the straight lines, Pair of Straight Lines, Circle . Parabola, Ellipse, Hyperbola & their properties.
CALCULAS : Differentiation of function of functions, Tangents and normals, Simple examples of maxima and minima, Limit of function, Integration of function by parts, bysubtraction and by partial fraction, definit Integral, Application to volumes and Surfaces of Frustums of sphere, Cone & Cylinder.
VECTORS : Position Vector, Addition & Subtraction of Vectors, Scaler & Vector Products & their Applications.
DYNAMICS : Velocity, Composition of velocity, Relative velocity, acceleration, Composition of acceleration, Motion under gravity, projectilies, Laws of motion, principles of conservation of momentum & energy, Direct Impact of smooth bodies, pulleys.
STATICS : Composition of co-planer, Concurrent & parallel forces. Moments & couples, Resultant of set of co-planer forces & conditions, of equilibrium, Determination of centroides in simple case, problems involving fraction.
LOGICAL ABILITY : Simple question to test analytical & Reasonable thinking of the candidate.
STATISTICS : Theory of probability , Averages, Dispersion & standard Deviation.
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