The subjects of written test (Objective Type) maximum marks and time allotted to each sub-test are as follows:
I. Quantitative and Mathematical Ability Test
50 Questions 75 minutes
II. Deductive and Logical Ability Test
50 Questions 60 minutes
Note:
· Each question carries 4 marks.
· On the basis of candidate’s performance a number of 150 candidates are called for personal interview. A Merit List is drawn on the basis of performance in the Admission Test (80%) and Personal Interview (20%).
DETAILED SYLLABUS
Sub-Test I:
Quantitative and Mathematical Ability Test
Algebra:
Sets, groups, fields, vector spaces; Complex numbers; Demoivre’s theorem and its simple applications; Matrices, determinants; Relation between roots and coefficients of an equation: Scalar and vector products, triple products.
Calculus:
Real Number System; Continuity and limits; Differentiation; Integration; Definite Integral; evaluation of lengths and area of curves; curvature; asymptotes; tracing of curves; Partial differentiation; Differential equations of first order and their solutions; Linear differential equations with constant coefficients; Homogeneous Linear differential equations.
Geometry:
2-dimensions; straight lines, circles, parabola. hyperbola and ellipse; Classification of curves of second degree.
3-dimensions; spheres, quadratic cones and cylinders.
Real Analysis:
Sequences: sequences of real numbers; Convergent sequences; Cauchy sequences; Monotonic sequences; bounds; Infinite series and their different tests of convergence; Absolute convergence; Uniform convergence.
Properties of continuous functions; Rolle’s theorem, mean value theorem; Taylor’s and Maclaurin’s series; Maxima and Minima; Indeterminate forms.
Statistics and Programming:
Frequency distributions and measures of dispersion, skewness and kurtosis; permutations and combinations; Probability; Random variables and distribution functions; mathematical expectation and generating functions; Binomial, Poisson, Normal distribution. Curve fitting and principle of least squares; Correlation and regression; Sampling and large sample tests; Tests of significance based on t, x2 and F distributions.
Formulation of simple linear programming problems; basic concepts of graphical and simplex methods.
Sub-Test II:
Deductive and Logical Ability Test Interpretation of data, problem solving, flow-charts and algorithms, number systems-binary, octal, hexadecimal.
Truth-values, logical operations, logic functions and their evaluation
