Last year question of IIT JAM for MCA

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Consider the following C function
float f(float a, int m) {
float x;
if (m == 0) return 1;
x = f(a, m/2);
if (m%2 == 1) return x * x * a;
else return x * x;
}
What will be the return value of the function f(2,3)?
(A) 20.0 (B) 16.0 (C) 12.0 (D) 8.0

When a computer is switched on, the BIOS is loaded from
(A) Hard Disk (B) RAM (C) ROM (D) CD-ROM

In a computer, TFT is related to
(A) Memory (B) Monitor (C) Input Device (D) Serial Port

Consider the following lists:
List I List II
1. Pen drive P. Optical Memory
2. Hard disk Q. Flash Memory
3. CD-ROM R. Magnetic Memory
4. Floppy S. Volatile Memory
The correct match is
(A) 1 → P, 2 → R, 3 → P, 4 → S
(B) 1 → Q, 2 → R, 3 → P, 4 →R
(C) 1 → S, 2 → P, 3 → R, 4 → Q
(D) 1 → Q, 2 → R, 3 → S, 4 →R

Consider the following C program
#include
int main(){
int x = 5;
int y = 2;
while (x) {
y += 2 * x;
printf(“%d”, x);
x--;
}
printf(“%d”, y);
return 0;
}
What is printed when the above program is executed?
(A) 5432132 (B) 432132 (C) 5432129 (D) 432130

If the speed of a computer is 2 GHz, then which one of the following statements must be TRUE?
(A) Its processor performs 2 × 109 operations per second
(B) Its clock cycles 2 × 109 times per second
(C) Its RAM stores 2 × 109 bytes per second
(D) Its printer prints 2 × 109 characters per second

Q.1
(A) 01234 (B) 1234 (C) 567 (D) 668
Consider the following C function
float f(float a, int m) {
float x;
if (m == 0) return 1;
x = f(a, m/2);
if (m%2 == 1) return x * x * a;
else return x * x;
}
What will be the return value of the function f(2,3)?
Q.2
(A) 20.0 (B) 16.0 (C) 12.0 (D) 8.0
When a computer is switched on, the BIOS is loaded from
Q.3
(A) Hard Disk (B) RAM (C) ROM (D) CD-ROM
In a computer, TFT is related to
Q.4
(A) Memory (B) Monitor (C) Input Device (D) Serial Port
Q.5 Consider the following lists:

List I List II
1. Pen drive P. Optical Memory
2. Hard disk Q. Flash Memory
3. CD-ROM R. Magnetic Memory
4. Floppy S. Volatile Memory
The correct match is
(A) 1 → P, 2 → R, 3 → P, 4 → S (B) 1 → Q, 2 → R, 3 → P, 4 →R
(C) 1 → S, 2 → P, 3 → R, 4 → Q (D) 1 → Q, 2 → R, 3 → S, 4 →R
CA- / 20 2
A
Consider the following C program
#include
int main(){
int x = 5;
int y = 2;
while (x) {
y += 2 * x;
printf(“%d”, x);
x--;
}
printf(“%d”, y);
return 0;
}
What is printed when the above program is executed?
Q.6
(A) 5432132 (B) 432132 (C) 5432129 (D) 432130
If the speed of a computer is 2 GHz, then which one of the following statements must be
TRUE?
(A) Its processor performs 2 × 109 operations per second
(B) Its clock cycles 2 × 109 times per second
(C) Its RAM stores 2 × 109 bytes per second
Q.7
(D) Its printer prints 2 × 109 characters per second
Consider the following lists:
Q.21
(D) f is not differentiable at 0 = x but has a local maximum at 0 = x
If 1 = ij p for m j i ≤ ≤ , 1 , then the characteristic equation of the matrix P = ) ( ij p is
Q.24
(A) 1 (B) 2 (C) 3 (D) 4
Let P be a matrix of size 3 3× with eigenvalues 1, 2 and 3. Then P is
(A) neither invertible nor diagonalizable
(B) both invertible and diagonalizable
(C) invertible but not diagonalizable
Q.25
(D) not invertible but diagonalizable
The integral ∫
−
1
1
| | dx x is computed by the trapezoidal rule with step length h = 0.01. The
absolute error in the computed value is
Q.26
(A) 0 (B) 0.0001 (C) 0.0025 (D) 0.005
CA- / 20 6
A
An iteration scheme generates a sequence } { n x . For some ∈ c , α R, } { n x satisfies
| | | | 1 n n x c x − ≤ − + α α for all 0 ≥ n . Which one of the following conditions on c ensures the
convergence of } { n x ?
Q.27
(A) 1 = c (B) c > 1 (C) c > 0 (D) 0 < c < 1
The integral ∫
1
0
) ( dx x f is approximated by the formula
) 1 ( ' ) 0 ( ' ) 1 ( ) 0 ( ) ( 4 3 2
1
0
1 f f f f dx x f α α α α + + + ≈ ∫ .
This approximation is exact for all the polynomials of degree 3 ≤ . Then ) , ( 4 3 α α is
Q.29
(A) 1.734 (B) 1.733 (C) 1.732 (D) 1.731
Consider the following table:
x 1 2 3
y 10 − 6 − 0
The roots of the corresponding interpolating quadratic polynomial are
Q.32
(C) two (D) infinite
The value of x in the sequence 2, 4, 10, 28, 82, x, … is
Q.33
(A) 102 (B) 168 (C) 252 (D) 244
Consider the following segment of a C program
int x = 2;
if (x = 3) printf(“%d”, x++);
else printf(“%d”, --x);
The output of the program segment will be
Q.34
(A) 0 (B) 2 (C) 3 (D) 4
Four different weights W1, W2, W3, W4 can take only integral values. They can be used on one
or both the pans of a balance to weigh objects having all possible integral weights from unit
weight to W, where, W = W1 + W2 + W3 + W4. The vector (W1, W2, W3, W4) which
maximizes W is
Q.35
(A) (1, 2, 5, 10) (B) (1, 3, 9, 27) (C) (1, 2, 4, 8) (D) (1, 3, 15, 25)
In a C program, variables x and y are declared to be of type int. Consider the following four
statements
S1: y = x & 1; S2: y = x % 2;
S3: y = x / 2; S4: y = x << 1;
Which of the statements will result in the same value of y for every value of x?
Q.36
(A) S3 and S4 (B) S1 and S3 (C) S1 and S2 (D) S2 and S4
IBM stands for
(A) Indian Business Machine
(B) International Business Manufacturer
(C) Indian Business Manufacturer
Q.37
(D) International Business Machine
CA- / 20 8
A
Consider the following fragment of a C program
int x = 20;
int y = 25;
int z = x ^ y;
where ^ denotes bit-wise XOR operation. Then the value assigned to z will be
Q.38
(A) 20 (B) 25 (C) 23 (D) 13
An ASCII code contains
Q.39
(A) 8 bits (B) 4 bits (C) 7 bits (D) 6 bits
Who among the following developed Linux ?
Q.40
(A) Bill Gates (B) Sabeer Bhatia (C) Narayan Murthy (D) Linus Torvalds
IPR stands for
(A) Intelligence Performance Ratio
(B) Intellectual Property Rights
(C) Intelligence Production Rights
Q.41
(D) Intellectual Performance Research
A software is termed an open source software if
(A) the developer company is open 24 hours
(B) its source code is available to share, study and modify
(C) it can be downloaded from the Internet
Q.42
(D) it is available free of cost
The rank of the matrix
⎥ ⎥ ⎥ ⎥
⎦
⎤
⎢ ⎢ ⎢ ⎢
⎣
⎡
7 6 5 4
6 5 4 3
5 4 3 2
4 3 2 1
is
Q.43
(A) 1 (B) 2 (C) 3 (D) 4
Consider the following LPP
y x f 3 4 min + =
subject to
. 2 , 2
, 36 3 4
, 12
≥ ≥
≥ +
≥ +
y x
y x
y x
The minimum value of f is

Rest of the Questions are attached in below file which is free of cost

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IIT JAM MCA exam question paper comprises of Mathematics, Computer awareness and Analytical ability and General awareness sections.

Mathematics Syllabus

Algebra : Set theory and its simple applications. Basic concepts of groups, fields and vector spaces.

Matrices : Rank of a matrix. Existence and uniqueness of solution of a system of linear equations. Eigenvalues and Eigen vectors. Inverse of a matrix by elementary transformations.

Differential Calculus : Differentiation, Partial differentiation, Taylor series and approximate calculations. Maxima and minima of functions of one and two variables.

Integral Calculus : Single and multiple integration. Definite integrals, Change of order and change of variables. Applications to evaluation of area, surface and volume.

Differential Equations : First order differential equations, linear differential equations of higher order with constant coefficients.


Vector Algebra : Addition, subtraction, dot product, cross product, triple product and their applications.

Numerical Analysis : Solution of non – linear equations using iterative methods. Interpolation ( Lagrange’s formula and Newton’s formula for equidistant points ). Numerical differentiation and integration ( Trapezoidal and Simpson’s rules ).

Probability : Basic concepts of probability theory. Binomial and Poisson distributions.

Linear Programming : Formulation and its graphical solution for two variable problems.

Computer Awareness

Elements of computers. Number systems. Basic electronic gates. Boolean algebra. Flip – Flops. Algorithmic approach to solve problems. Fundamentals of C language.

Analytical Ability and General Awareness

Simple questions will be asked to test the analytical ability and general awareness of candidates.

Here is the attachment for question paper:

IIT JAM MCA Question paper

Attached Files Available for Download

IIT JAM MCA Question paper.pdf (359.3 KB, 38 views)

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