GATE 1993 Computer Science Questions and Solutions

Recent questions tagged gate1993

32 votes
2 answers
32
The root directory of a disk should be placedat a fixed address in main memoryat a fixed location on the diskanywhere on the diskat a fixed location on the system diskany...
14 votes
2 answers
33
A part of the system software which under all circumstances must reside in the main memory is:text editorassemblerlinkerloadernone of the above
0 votes
0 answers
35
19 votes
3 answers
36
What does the following code do?var a, b: integer; begin a:=a+b; b:=a-b; a:a-b; end;exchanges $a$ and $b$doubles $a$ and stores in $b$doubles $b$ and stores in $a$leaves ...
0 votes
0 answers
37
28 votes
4 answers
38
The details of an interrupt cycle are shown in figure.Given that an interrupt input arrives every $1$ msec, what is the percentage of the total time that the CPU devote...
21 votes
2 answers
40
Identify the logic function performed by the circuit shown in figure. exclusive ORexclusive NORNANDNORNone of the above
20 votes
3 answers
42
Convert the following numbers in the given bases into their equivalents in the desired bases:$(110.101)_{2} = (x)_{10} $$(1118)_{10} = (y)_{H}$
0 votes
0 answers
44
0 votes
0 answers
46
24 votes
2 answers
47
If $A = \begin{pmatrix} 1 & 0 & 0 & 1 \\ 0 & -1 & 0 & -1 \\ 0 & 0 & i & i \\ 0 & 0 & 0 & -i \end{pmatrix}$ the matrix $A^4$, calculated by the use of Cayley-Hamilton theo...
4 votes
2 answers
48
1 votes
1 answer
51
If the linear velocity $\vec V$ is given by $$\vec V = x^2y\,\hat i + xyz\,\hat j – yz^2\,\hat k$$The angular velocity $\vec \omega$ at the point $(1, 1, -1)$ is ______...
1 votes
0 answers
52
The radius of convergence of the power series$$\sum_{}^{\infty} \frac{(3m)!}{(m!)^3}x^{3m}$$ is: _____________
15 votes
3 answers
53
$\displaystyle \lim_{x \to 0} \frac{x(e^x - 1) + 2(\cos x -1)}{x(1 - \cos x)}$ is __________
1 votes
1 answer
54
The function $f\left(x,y\right) = x^2y - 3xy + 2y +x$ hasno local extremumone local minimum but no local maximumone local maximum but no local minimumone local minimum an...
1 votes
1 answer
57
49 votes
7 answers
59
The eigen vector $(s)$ of the matrix $$\begin{bmatrix} 0 &0 &\alpha\\ 0 &0 &0\\ 0 &0 &0 \end{bmatrix},\alpha \neq 0$$ is (are)$(0,0,\alpha)$$(\alpha,0,0)$$(0,0,1)$$(0,\al...
1 votes
1 answer
60
Fourier series of the periodic function (period 2π) defined by$$f(x) = \begin{cases} 0, -p < x < 0\\x, 0 < x < p \end{cases} \text { is }\\ \frac{\pi}{4} + \sum \left [ ...