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22 votes
3 answers
21
GATE CSE 1998 | Question: 1.2
Consider the following set of equations $x+2y=5$ $4x+8y=12$ $3x+6y+3z=15$ This set has unique solution has no solution has finite number of solutions has infinite number of solutions
Consider the following set of equations$x+2y=5$$4x+8y=12$$3x+6y+3z=15$This sethas unique solutionhas no solutionhas finite number of solutionshas infinite number of solut...
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29 votes
6 answers
22
GATE CSE 1998 | Question: 2.12
What value would the following function return for the input $x=95$? Function fun (x:integer):integer; Begin If x > 100 then fun = x – 10 Else fun = fun(fun (x+11)) End; $89$ $90$ $91$ $92$
What value would the following function return for the input $x=95$?Function fun (x:integer):integer; Begin If x 100 then fun = x – 10 Else fun = fun(fun (x+11)) End;$...
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44 votes
9 answers
23
GATE CSE 1998 | Question: 19b
Compute the post fix equivalent of the following expression $3^*\log(x+1)-\frac{a}{2}$
Compute the post fix equivalent of the following expression $3^*\log(x+1)-\frac{a}{2}$
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40 votes
4 answers
24
GATE CSE 1998 | Question: 1.19
Which of the following addressing modes permits relocation without any change whatsoever in the code? Indirect addressing Indexed addressing Base register addressing PC relative addressing
Which of the following addressing modes permits relocation without any change whatsoever in the code?Indirect addressingIndexed addressingBase register addressingPC relat...
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20 votes
4 answers
25
GATE CSE 1998 | Question: 2.1
The rank of the matrix given below is: $\begin{bmatrix} 1 &4 &8 &7\\ 0 &0& 3 &0\\ 4 &2& 3 &1\\ 3 &12 &24 &21 \end{bmatrix}$ $3$ $1$ $2$ $4$
The rank of the matrix given below is:$$\begin{bmatrix} 1 &4 &8 &7\\ 0 &0& 3 &0\\ 4 &2& 3 &1\\ 3 &12 &24 &21 \end{bmatrix}$$$3$$1$$2$$4$
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21 votes
3 answers
26
GATE CSE 1998 | Question: 6a
Solve the following recurrence relation $x_n = 2x_{n-1}-1, n>1$ $x_1=2$
Solve the following recurrence relation$x_n = 2x_{n-1}-1, n>1$$x_1=2$
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18 votes
2 answers
28
GATE CSE 1998 | Question: 1.28
A linker reads four modules whose lengths are $200, 800, 600$ and $500$ words, respectively. If they are loaded in that order, what are the relocation constants? $0, 200, 500, 600$ $0, 200, 1000, 1600$ $200, 500, 600, 800$ $200, 700, 1300, 2100$
A linker reads four modules whose lengths are $200, 800, 600$ and $500$ words, respectively. If they are loaded in that order, what are the relocation constants?$0, 200, ...
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12 votes
6 answers
30
GATE CSE 1998 | Question: 1.4
Consider the function $y=|x|$ in the interval $[-1, 1]$. In this interval, the function is continuous and differentiable continuous but not differentiable differentiable but not continuous neither continuous nor differentiable
Consider the function $y=|x|$ in the interval $[-1, 1]$. In this interval, the function iscontinuous and differentiablecontinuous but not differentiabledifferentiable but...
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23 votes
3 answers
31
GATE CSE 1998 | Question: 1.23
How many sub strings of different lengths (non-zero) can be formed from a character string of length $n$? $n$ $n^2$ $2^n$ $\frac{n(n+1)}{2}$
How many sub strings of different lengths (non-zero) can be formed from a character string of length $n$?$n$$n^2$$2^n$$\frac{n(n+1)}{2}$
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29 votes
4 answers
32
GATE CSE 1998 | Question: 1.32
A computer has six tape drives, with $n$ processes competing for them. Each process may need two drives. What is the maximum value of $n$ for the system to be deadlock free? $6$ $5$ $4$ $3$
A computer has six tape drives, with $n$ processes competing for them. Each process may need two drives. What is the maximum value of $n$ for the system to be deadlock fr...
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33 votes
5 answers
33
GATE CSE 1998 | Question: 18
For a set-associative Cache organization, the parameters are as follows: ... $1 \leq m \leq l$. Give the value of the hit ratio for $l = 1$.
For a set-associative Cache organization, the parameters are as follows:$$\begin{array}{|c|l|} \hline \text {$t _c$} & \text{Cache Access Time }\\\hline \text{$t _m$} &...
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13 votes
4 answers
34
GATE CSE 1998 | Question: 10b
Let $R$ be a binary relation on $A = \{a, b, c, d, e, f, g, h\}$ represented by the following two component digraph. Find the smallest integers $m$ and $n$ such that $m < n$ and $R^m = R^n$.
Let $R$ be a binary relation on $A = \{a, b, c, d, e, f, g, h\}$ represented by the following two component digraph. Find the smallest integers $m$ and $n$ such that $m <...
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28 votes
4 answers
35
GATE CSE 1998 | Question: 1.18
Which of the following devices should get higher priority in assigning interrupts? Hard disk Printer Keyboard Floppy disk
Which of the following devices should get higher priority in assigning interrupts?Hard diskPrinterKeyboardFloppy disk
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19 votes
4 answers
36
GATE CSE 1998 | Question: 1.31
A counting semaphore was initialized to $10$. Then $6 P$ (wait) operations and $4V$ (signal) operations were completed on this semaphore. The resulting value of the semaphore is $0$ $8$ $10$ $12$
A counting semaphore was initialized to $10$. Then $6 P$ (wait) operations and $4V$ (signal) operations were completed on this semaphore. The resulting value of the semap...
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32 votes
3 answers
37
GATE CSE 1998 | Question: 12
Let $(A, *)$ be a semigroup, Furthermore, for every $a$ and $b$ in $A$, if $a \neq b$, then $a*b \neq b*a$. Show that for every $a$ in $A$, $a*a=a$ Show that for every $a$, $b$ in $A$, $a*b*a=a$ Show that for every $a,b,c$ in $A$, $a*b*c=a*c$
Let $(A, *)$ be a semigroup, Furthermore, for every $a$ and $b$ in $A$, if $a \neq b$, then $a*b \neq b*a$.Show that for every $a$ in $A$, $a*a=a$Show that for every $a$,...
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32 votes
3 answers
39
GATE CSE 1998 | Question: 1.30
When the result of a computation depends on the speed of the processes involved, there is said to be cycle stealing race condition a time lock a deadlock
When the result of a computation depends on the speed of the processes involved, there is said to becycle stealingrace conditiona time locka deadlock
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47 votes
2 answers
40
GATE CSE 1998 | Question: 1.35
There are five records in a database. ... and it contains the values $1, 3, 2, 5$ and $4$. Which one of the fields is the index built from? Age Name Occupation Category
There are five records in a database.$$\begin{array}{|c|c|c|c|} \hline \textbf {Name} & \textbf {Age} & \textbf {Occupation} & \textbf{Category } \\\hline \text{Rama} & ...
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