DIRECTORATE OF TECHNICAL EDUCATION, MAHARASHTRA – 2015

ADMISSION FOR MCA - 2015

Date of the online test : 29 March 2015

Eligibility :

The candidate should fulfill the following eligibility criteria:

Passed with minimum of 50% marks in aggregate* or equivalent CGPA ( 45% in case of candidates of backward class categories and Persons with Disability belonging to Maharashtra State only) in any Bachelor’s degree awarded by any of the Universities incorporated by an act of the central or state legislature in India or other educational institutions established by an act of Parliament or declared to be deemed as a University under Section 3 of the UGC Act, 1956 of minimum three years duration in any discipline recognised by the Association of Indian Universities, or possess an equivalent qualification recognized by the Ministry of HRD, Government of India and having studied Mathematics or Statistics as one of the subjects at 10+2 level or higher level examination. (Candidates appearing for final year of qualifying examination are also eligible to appear for CET)

Syllabus :

The questions in this paper will cover: logical reasoning, quantitative reasoning, high school mathematics, vocabulary, English comprehension and verbal ability. A good grasp of the following topics of high school mathematics (up to the 12th standard) will be useful:

Algebra : Fundamental operations in Algebra, Expansion, factorization, Quadratic equations, indices, logarithms, arithmetic, geometric and harmonic progressions, binomial theorem, permutations and combinations.

Co-ordinate Geometry : Rectangular Cartesian co-ordinates, equations of a line, mid point, intersections etc., equations of a circle, distance formulae, pair of straight lines, parabola, ellipse and hyperbola, simple geometric transformations such as translation, rotation, scaling.

Differential Equations : Differential equations of first order and their solutions, linear differential equations with constant coefficients, homogenous linear differential equations.

Trigonometry : Simple identities, trigonometric equations, properties of triangles, solution of triangles, height and distance, inverse function.

Probability and Statistics : Basic concepts of probability theory, Averages, Dependent and independent events, frequency distributions, and measures of dispersions, skewness and kurtosis, random variable and distribution functions, mathematical expectations, Binomial, Poisson, normal distributions, curve fitting, and principle of least squares, correlation and regression.

Arithmetic : Ratios and proportions, problems on time-work, distance-speed, percentage, etc.

Basic Set Theory and Functions : Set, relations and mappings.

Mensuration : areas, triangles and quadrilaterals, area and circumference of circles, volumes and surface areas of simple solids such as cubes, spheres, cylinders and cones.

Computer Concepts :

Computer Basics : Organization of a computer, Central Processing Unit (CPU), Structure of instructions in CPU, input / output devices, computer memory, memory organization, back-up devices.

Data Representation : Representation of characters, integers, and fractions, binary and hexadecimal representations, Binary Arithmetic: Addition, subtraction, division, multiplication, signed arithmetic and two’s complement arithmetic, floating point representation of numbers, normalized floating point representation, Boolean algebra, truth tables, Venn diagrams.

Computer Architecture : Block structure of computers, communication between processor and I /O devices, interrupts.

Computer Language : Assembly language and high level language, Multiprogramming and time sharing operating systems, Computer Programming in C.

Operating System basics : Multiprogramming and timesharing operating systems.


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