MCA/ PGDCA : 60% aggregate marks in Graduation (Pass/ Honours).
- The minimum Eligibility for appearing in the Aptitude Test for students passing the qualifying examination from Banasthali University will be
50% aggregate marks in the qualifying examination.
- The minimum Eligibility for appearing in the Aptitude test for SC/ST applicants for all these courses is 40% aggregate marks in the
qualifying examination.
- Applicants who fail to appear in the Aptitude Test will not be considered under any circumstances.
| Sections |
No. of Questions |
Duration (In Min.) |
| Section A - Mathematics |
50 |
90 |
| Section B - Reasoning Ability |
50 |
60 |
Please note that there is negative marking. Each correct question has one mark, whereas a wrong question carries (-1/4) marks.
Section A : Mathematics
Arithmetic, Geometric and Harmonic progression. Permutation and Combination, Application of Binomial Theorem. Exponential and Logarithmic series. Matrix Algebra and Determinants. Trigonometrically problems on height and distance. Complex numbers and their properties.
Statistics : Measures of central Tendency, frequency distribution and probability concept.
Coordinate Geometry : Straight Line, Circle, Ellipse, Parabola and Hyperbola.
Algebra : Definition and simple properties of groups and subgroups, permutation groups, cyclic groups, Costs, Lagrange's theorem on the order of subgroup of finite group, Morphemes of groups, Cay ley's theorem, Normal subgroups and quotient groups. Fundamental theorem of homomorphism of groups.
Rings : Definition and examples of ring (integral domain, division rings, fields), Simple properties of rings, sub rings and subfields, ring homomorphism and ring isomomorphism.
Vector Space : Definition and simple properties, subspaces, linear dependence and linear independence of vector space, dimension of finitely generated vector space, basic of vector space, dimension of a subspace.
Calculus and Differential Equations: Successive differentiation, Leibniz Theorem, Polar tangent, normal sub tangent and subnormal, derivative of an arc (Cartesian and polar). Expansion of functions by Maclaurin's and Taylor's series, Indeterminate forms. Integration of irrational algebraic and trigonometrically functions, Definite integral. Differential equations of first order and first degree. Linear differential equations with constant coefficients.
Linear differential equations of any order, Maxima and Minima of one variables, Partial differentiation with Euler's theorem and it's applications.
Real Analysis: Description of the real number system as a complete ordered field. Bounded and unbounded sets of real numbers Supreme and infimum of a bounded set. Neighborhood of a point. Real sequences and their convergence, Cauchy sequence, Cauchy's general principle of convergence.
Convergence of series: comparison test, root test, ratio test Alternating series, Leibniz test. Continuous functions and their properties.
Section B : Reasoning Ability
Tentative Month: May/June
No. of seats: 30
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