MAH-MCA-CET 2013 was an ONLINE examination. It had two papers (objective type) of 90 minutes duration viz. General Aptitude (GA) and Computer Concepts (CC).Each paper has 25 questions,each correct response fetched 4 marks while incorrect answer attracts a penalty of 1 mark.
General Aptitude
The main objective of this paper is to assess the general aptitude of the candidate if it suitable to pursue a computer applications and software profession.
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:
1.0 Algebra : Fundamental operations in Algebra, Expansion, factorization, Quadratic equations, indices, logarithms, arithmetic, geometric and harmonic progressions, binomial theorem, permutations and combinations.
2.0 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.
3.0 Differential Equations: Differential equations of first order and their solutions, linear differential equations with constant coefficients, homogenous linear differential equations.
4.0 Trigonometry: Simple identities, trigonometric equations, properties of triangles, solution of
triangles, height and distance, inverse function.
5.0 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.
6.0 Arithmetic: Ratios and proportions, problems on time-work, distance-speed, percentage, etc.
7.0 Basic Set Theory and Functions: Set, relations and mappings.
8.0 Mensuration: areas, triangles and quadrilaterals, area and circumference of circles, volumes and surface areas of simple solids such as cubes, spheres, cylinders and cones.
Sample Questions
1. A bag contains red and blue marbles totaling between 50 and 100 in number. If two marbles are
drawn at random, the chances of them both being red are 25%. One third of the marbles are picked from the bag, at random, and thrown away. If one marble is now drawn at random from the bag, what is the probability (in percentage) of it being blue?
(a) 11 (b) 25 (c) 33 (d) 50
2. Consider the following equation:
log 13.25 + 5 log 2 + 3 log 3 + log 12 = log 53 + log 8 + log 27 + X
The value of X is.....
(a) 4 log 26.5 (b) log 12 (c) log 36 (d) 27
3. Usman, Bhushan and Shailu start running at the same time from the same point on a circular track of 70 meters radius. Usman and Bhushan run clockwise and Shailu runs counter clockwise. If Usman meets Shailu every 66 seconds and Bhushan meets Shailu every 110 seconds, how frequently (in seconds) will Usman meet Bhushan?
(a) 165 (b) 176 (c) 330 (d) 44
4. What is the probability that the product of two consecutive non-negative integers will be a number ending with 0.
(a) 0.2 (b) 0.25 (c) 0.3 (d) 0.4
5. What is the maximum number of points in space that can be equidistant from each other?
(a) 3 (b) 4 (c) 5 (d) 6
Answers to Sample Questions
1. (d) 2. (b) 3. (c) 4. (d) 5. (a)
Computer Concepts
Syllabus
1.0 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.
2.0 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.
3.0 Computer Architecture: Block structure of computers, communication between processor and I /O devices, interrupts.
4.0 Computer Language: Assembly language and high level language, Multiprogramming and time
sharing operating systems, Computer Programming in C.
5.0 Operating System basics: Multiprogramming and timesharing operating systems.
Sample Questions
1. Starting with the slowest, rank the following in increasing order of speed.
(a) Cache, Main memory, Hard Disk, CD-ROM
(b) CD-ROM, Hard Disk, Main memory, Cache
(c) Cache, Hard Disk, Main memory, CD-ROM
(d) CD-ROM, Main memory, Hard Disk, Cache
2. Which is the MOST basic function of an Operating System?
(a) Providing a database management system.
(b) Providing a graphical software development environment.
(c) Providing backward compatibility with older processors.
(d) Providing an efficient virtual machine abstraction.
3. Which of the following is a characteristic of a data type in programming languages?
(a) its structure (the way it is stored)
(b) its behaviour (the operations it supports)
(c) number of bytes required to store a variable of that type
(d) none of the above
4. Suppose a system has been evolved, called the ternary system, by creatures having only 3 fingers.
Numbers in this system are written down, using the digits 0, 1, and 2, with 2>1>0.
What will be the binary equivalent of 222 in this system?
(a) 101010 (b) 11000 (c) 10110 (d) 11010
5. Consider the following program segment:
i = 6720; j = 4;
while ( (i % j) = = 0){
i = i / j;
j = j + 1;
}
What will be the value of j on termination of the segment?
