This test will be of 1.5 hours duration having 80 questions of one mark each with no negative marking. No. of questions are 80.
The minimum eligibility condition for admission to first semester of the course shall be as follows :
degree in any discipline with mathematics as compulsory subject at 10+2
level or at graduation level such as B.Com/BCA/B.A./B.Sc of minimum
three years duration from a recognized university
The candidate must have clearly passed with an aggregate of 50% marks (45% for SC/ST candidates)
(i) MATHEMATICS (60 Questions)
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
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.
Theory of probability, Mean, Median, Mode, Dispersion and Standard Deviation.
(iii) LOGICAL ABILITY (20 Questions)
Questions to test analytical and reasoning capability of candidates.
Total number of seats is 30 in MCA with the following break-up
- All India general category 05; Haryana general category 12; SC/ST 05; BC (A) 04; BC (B) 03; Physically Handicapped 01
- There exist 25% seats reserved for girls in each respective category
- In addition, one seat is reserved for Kashmiri migrant only