GATE 1993 Computer Science Questions and Solutions

Recent questions tagged gate1993

34 34 votes
5 answers 5 answers
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Consider a system having $m$ resources of the same type. These resources are shared by $3$ processes $A, B$, and $C$ which have peak demands of $3, 4$, and $6$ respective...
48 48 votes
2 answers 2 answers
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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...
18 18 votes
2 answers 2 answers
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A part of the system software which under all circumstances must reside in the main memory is:text editorassemblerlinkerloadernone of the above
35 35 votes
3 answers 3 answers
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A simple two-pass assembler does the following in the first pass:It allocates space for the literals.It computes the total length of the program.It builds the symbol tabl...
0 0 votes
0 0 answers
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23 23 votes
4 answers 4 answers
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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...
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40 40 votes
5 answers 5 answers
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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...
37 37 votes
6 answers 6 answers
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A certain moving arm disk storage, with one head, has the following specifications:Number of tracks/recording surface $= 200$Disk rotation speed $= 2400$ rpmTrack storage...
26 26 votes
2 answers 2 answers
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Identify the logic function performed by the circuit shown in figure. exclusive ORexclusive NORNANDNORNone of the above
40 40 votes
2 answers 2 answers
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Assume that each character code consists of $8$ bits. The number of characters that can be transmitted per second through an asynchronous serial line at $2400$ baud rate,...
28 28 votes
3 answers 3 answers
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Convert the following numbers in the given bases into their equivalents in the desired bases:$(110.101)_{2} = (x)_{10} $$(1118)_{10} = (y)_{H}$
27 27 votes
2 answers 2 answers
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A ROM is used to store the Truth table for binary multiple units that will multiply two $4$-bit numbers. The size of the ROM (number of words $\times$ number of bits) tha...
1 1 vote
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1 1 vote
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1 1 vote
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Given $\vec v= x\cos ^2y \hat i + x^2e^z\hat j+ z\sin^2y\hat k$ and $S$ the surface of a unit cube with one corner at the origin and edges parallel to the coordinate axes...
41 41 votes
3 answers 3 answers
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If $A = \begin{pmatrix} 1 & 0 & 0 & 1 \\ 0 & -1 & 0 & -1 \\ 0 & 0 & i & i \\ 0 & 0 & 0 & -i \end{pmatrix}$ the matrix $A^4$, calculated by the use of Cayley-Hamilton theo...
9 9 votes
2 answers 2 answers
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The value of the double integral $\int^{1}_{0} \int_{0}^{\frac{1}{x}} \frac {x}{1+y^2} dxdy$ is_________.
0 0 votes
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2 2 votes
1 1 answer
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If the linear velocity $\vec V$ is given by $$\vec V = x^2y\,\hat i + xyz\,\hat j – yz^2\,\hat k$$The angular velocity $\vec \omega$ at the point $(1, 1, -1)$ is ________
3 3 votes
1 1 answer
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The radius of convergence of the power series$$\sum_{}^{\infty} \frac{(3m)!}{(m!)^3}x^{3m}$$ is: _____________
29 29 votes
5 answers 5 answers
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$\displaystyle \lim_{x \to 0} \frac{x(e^x - 1) + 2(\cos x -1)}{x(1 - \cos x)}$ is __________
2 2 votes
1 answers 1 answer
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The function $f\left(x,y\right) = x^2y - 3xy + 2y +x$ hasno local extremumone local minimum but no local maximumone local maximum but no local minimumone local minimum an...
4 4 votes
1 1 answer
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Which of the following improper integrals is (are) convergent?$\int ^{1} _{0} \frac{\sin x}{1-\cos x}dx$$\int ^{\infty} _{0} \frac{\cos x}{1+x} dx$$\int ^{\infty} _{0} \f...
1 1 vote
0 0 answers
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In questions 1.1 to 1.7 below, one or more of the alternatives are correct. Write the code letter(s) a, b, c, d corresponding to the correct alternative(s) in the answer...
1 1 vote
1 answers 1 answer
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Simpson's rule for integration gives exact result when $f(x)$ is a polynomial of degree$1$$2$$3$$4$
7 7 votes
1 answers 1 answer
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The differential equation $\frac{d^2 y}{dx^2}+\frac{dy}{dx}+\sin y =0$ is:linearnon- linear ...
88 88 votes
10 answers 10 answers
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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)$$(0,\al...
1 1 vote
2 2 answers
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Fourier series of the periodic function (period 2π) defined by$$f(x) = \begin{cases} 0, -p < x < 0\\x, 0 < x < p \end{cases} \text { is }\\ \frac{\pi}{4} + \sum \left [ \...