For admission to first year of MCA in any institution affiliated to U. P. Technical University, a
candidate must have passed three years degree course from any recognized University; securing
minimum 45% (40% for SC/ST) marks in aggregate. Candidate must have minimum 40% (35% for SC/ST) marks in mathematics at 10+2 level or at bachelor degree level.
There are 100 objective type questions which includes mathematics, statistics and logical ability.
The duration of exam is 2 hrs.
- MATHEMATICS
- Modern Algebra: Idempotent law, identities, complementary laws, Demorgan's theorem, mapping,
inverse relation, equivalence relation, Piano's Axiom, definition of rational numbers and integers through
equivalence relation.
- Algebra: Surds, solution of simultaneous and quadratic equations, arithmetic, geometric and harmonic
progression, Binomial theorem for any index, logarithms, exponential and logarithmic series,
determinants.
- Probability: Definition, dependent and independent events, numerical problems on addition and
multiplication of probability, theorems of probability.
- Trigonometry: Simple identities, trigonometric equations, properties of triangles, use of mathematical tables, solution of triangles, height and distance, inverse functions, DeMoiver's theorem.
- Co-Ordinate Geometry: Co-ordinate geometry of the straight lines, pair of straight lines, circle,
parabola, ellipse and hyperbola and their properties.
- Calculus: Differentiation of function of functions, tangents and normal, simple examples of maxima of
minima, limits of function, integration of function (by parts, by substitution and by partial fraction),
definite integral (application to volumes and surfaces of frustums of sphere, cone and cylinder).
- Vectors: Position vector, addition and subtraction of vectors, scalar and vector products and their
applications.
- Dynamics: Velocity, composition of velocity, relative velocity, acceleration, composition of acceleration,
motion under gravity, projectiles, laws of motions, principles of conservation of momentum and energy,
direct impact of smooth bodies, pulleys.
- Statics: Composition of co-planar, concurrent and parallel forces, moments and couples, resultant of set
of coplanar forces and conditions of equilibrium, determination of Centroides in simple case, problems
involving friction.
- STATISTICS
Theory of probability, Mean, Median, Mode, Dispersion and Standard Deviation.
- LOGICAL ABILITY
Questions to test analytical and reasoning capability of candidates.
Tentative Month : April
No. of seats: Refer the brochure
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