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Recent questions tagged gate1995
26
votes
5
answers
31
GATE CSE 1995 | Question: 2.24
Let $\Sigma=\left\{0,1\right\}, L = \Sigma^*$ and $R=\left\{0^n1^n \mid n > 0\right\} $ then the languages $L \cup R$ and $R$ are respectively regular, regular not regular, regular regular, not regular not regular, not regular
Let $\Sigma=\left\{0,1\right\}, L = \Sigma^*$ and $R=\left\{0^n1^n \mid n 0\right\} $ then the languages $L \cup R$ and $R$ are respectivelyregular, regularnot regular, ...
Kathleen
15.9k
views
Kathleen
asked
Oct 8, 2014
Theory of Computation
gate1995
theory-of-computation
easy
regular-language
+
–
41
votes
5
answers
32
GATE CSE 1995 | Question: 2.23
A finite state machine with the following state table has a single input $x$ and a single out $z$ ... $C$ is: $01$ $10$ $101$ $110$
A finite state machine with the following state table has a single input $x$ and a single out $z$.$$\begin{array}{|c|ll|}\hline\textbf{present state} & \qquad \textbf{nex...
Kathleen
11.4k
views
Kathleen
asked
Oct 8, 2014
Theory of Computation
gate1995
theory-of-computation
finite-automata
normal
+
–
26
votes
3
answers
33
GATE CSE 1995 | Question: 2.22
Which of the following statements is true? As the number of entries in a hash table increases, the number of collisions increases. Recursive programs are efficient The worst case complexity for Quicksort is $O(n^2)$ Binary search using a linear linked list is efficient I and II II and III I and IV I and III
Which of the following statements is true?As the number of entries in a hash table increases, the number of collisions increases.Recursive programs are efficientThe worst...
Kathleen
11.4k
views
Kathleen
asked
Oct 8, 2014
DS
gate1995
data-structures
linked-list
hashing
+
–
49
votes
7
answers
34
GATE CSE 1995 | Question: 2.21
The postfix expression for the infix expression $A+B*(C+D)/F+D*E$ is: $AB + CD + *F/D +E*$ $ABCD + *F/DE* ++$ $A * B + CD/F *DE ++$ $A + *BCD/F* DE ++$
The postfix expression for the infix expression $A+B*(C+D)/F+D*E$ is:$AB + CD + *F/D +E*$$ABCD + *F/DE* ++$$A * B + CD/F *DE ++$$A + *BCD/F* DE ++$
Kathleen
38.3k
views
Kathleen
asked
Oct 8, 2014
DS
gate1995
data-structures
stack
easy
+
–
32
votes
8
answers
35
GATE CSE 1995 | Question: 2.20
Which of the following definitions below generate the same language as $L$, where $L=\{x^ny^n \text{ such that } n\geq 1 \}$? $E \rightarrow xEy\mid xy$ $x y \mid (x^+xyy^+$) $x^+y^+$ I only I and II II and III II only
Which of the following definitions below generate the same language as $L$, where $L=\{x^ny^n \text{ such that } n\geq 1 \}$?$E \rightarrow xEy\mid xy$$x y \mid (x^+xyy^+...
Kathleen
10.7k
views
Kathleen
asked
Oct 8, 2014
Theory of Computation
gate1995
theory-of-computation
easy
context-free-language
+
–
42
votes
4
answers
36
GATE CSE 1995 | Question: 2.19
If the proposition $\lnot p \to q$ is true, then the truth value of the proposition $\lnot p \lor \left ( p \to q \right )$, where $\lnot$ is negation, $\lor$ is inclusive OR and $\to$ is implication, is True Multiple Values False Cannot be determined
If the proposition $\lnot p \to q$ is true, then the truth value of the proposition $\lnot p \lor \left ( p \to q \right )$, where $\lnot$ is negation, $\lor$ is inclusiv...
Kathleen
8.6k
views
Kathleen
asked
Oct 8, 2014
Mathematical Logic
gate1995
mathematical-logic
normal
propositional-logic
+
–
1
votes
1
answer
37
GATE CSE 1995 | Question: 2.18
The solution of differential equation $y''+3y'+2y=0$ is of the form $C_1e^x+C_2e^{2x}$ $C_1e^{-x}+C_2e^{3x}$ $C_1e^{-x}+C_2e^{-2x}$ $C_1e^{-2x}+C_2e^{-x}$
The solution of differential equation $y''+3y'+2y=0$ is of the form$C_1e^x+C_2e^{2x}$$C_1e^{-x}+C_2e^{3x}$$C_1e^{-x}+C_2e^{-2x}$$C_1e^{-2x}+C_2e^{-x}$
Kathleen
1.1k
views
Kathleen
asked
Oct 8, 2014
Calculus
gate1995
calculus
out-of-gate-syllabus
+
–
27
votes
4
answers
38
GATE CSE 1995 | Question: 2.17
Let $A$ be the set of all non-singular matrices over real number and let $*$ be the matrix multiplication operation. Then $A$ is closed under $*$ but $\langle A, *\rangle$ is not a semigroup. $\langle A, *\rangle$ is a semigroup but not a monoid. $\langle A, * \rangle$ is a monoid but not a group. $\langle A, *\rangle$ is a a group but not an abelian group.
Let $A$ be the set of all non-singular matrices over real number and let $*$ be the matrix multiplication operation. Then$A$ is closed under $*$ but $\langle A, *\rangle$...
Kathleen
10.0k
views
Kathleen
asked
Oct 8, 2014
Set Theory & Algebra
gate1995
set-theory&algebra
group-theory
+
–
25
votes
3
answers
39
GATE CSE 1995 | Question: 2.16
In a virtual memory system the address space specified by the address lines of the CPU must be _____ than the physical memory size and ____ than the secondary storage size. smaller, smaller smaller, larger larger, smaller larger, larger
In a virtual memory system the address space specified by the address lines of the CPU must be _____ than the physical memory size and ____ than the secondary storage siz...
Kathleen
10.7k
views
Kathleen
asked
Oct 8, 2014
Operating System
gate1995
operating-system
virtual-memory
normal
+
–
0
votes
3
answers
40
GATE CSE 1995 | Question: 2.15
The iteration formula to find the square root of a positive real number $b$ using the Newton Raphson method is $x_{k+1} = 3(x_k+b)/2x_k$ $x_{k+1} = (x_{k}^2+b)/2x_k$ $x_{k+1} = x_k-2x_k/\left(x^2_k+b\right)$ None of the above
The iteration formula to find the square root of a positive real number $b$ using the Newton Raphson method is$x_{k+1} = 3(x_k+b)/2x_k$$x_{k+1} = (x_{k}^2+b)/2x_k$$x_{k+1...
Kathleen
2.6k
views
Kathleen
asked
Oct 8, 2014
Numerical Methods
gate1995
numerical-methods
newton-raphson
normal
out-of-gate-syllabus
+
–
21
votes
6
answers
41
GATE CSE 1995 | Question: 2.14
A bag contains $10$ white balls and $15$ black balls. Two balls are drawn in succession. The probability that one of them is black and the other is white is: $\frac{2}{3}$ $\frac{4}{5}$ $\frac{1}{2}$ $\frac{1}{3}$
A bag contains $10$ white balls and $15$ black balls. Two balls are drawn in succession. The probability that one of them is black and the other is white is:$\frac{2}{3}$...
Kathleen
8.6k
views
Kathleen
asked
Oct 8, 2014
Probability
gate1995
probability
normal
+
–
12
votes
2
answers
42
GATE CSE 1995 | Question: 2.13
A unit vector perpendicular to both the vectors $a=2i-3j+k$ and $b=i+j-2k$ is: $\frac{1}{\sqrt{3}} (i+j+k)$ $\frac{1}{3} (i+j-k)$ $\frac{1}{3} (i-j-k)$ $\frac{1}{\sqrt{3}} (i+j-k)$
A unit vector perpendicular to both the vectors $a=2i-3j+k$ and $b=i+j-2k$ is:$\frac{1}{\sqrt{3}} (i+j+k)$$\frac{1}{3} (i+j-k)$$\frac{1}{3} (i-j-k)$$\frac{1}{\sqrt{3}} (i...
Kathleen
4.2k
views
Kathleen
asked
Oct 8, 2014
Linear Algebra
gate1995
linear-algebra
normal
vector-space
+
–
31
votes
6
answers
43
GATE CSE 1995 | Question: 2.12, ISRO2015-9
The number of $1$'s in the binary representation of $(3\ast4096 + 15\ast256 + 5\ast16 + 3)$ are: $8$ $9$ $10$ $12$
The number of $1$'s in the binary representation of $(3\ast4096 + 15\ast256 + 5\ast16 + 3)$ are:$8$$9$$10$$12$
Kathleen
18.4k
views
Kathleen
asked
Oct 8, 2014
Digital Logic
gate1995
digital-logic
number-representation
normal
isro2015
+
–
0
votes
0
answers
44
GATE CSE 1995 | Question: 2.11
Kathleen
595
views
Kathleen
asked
Oct 8, 2014
Others
gate1995
out-of-syllabus-now
pascal
+
–
27
votes
3
answers
45
GATE CSE 1995 | Question: 2.10
A shift reduce parser carries out the actions specified within braces immediately after reducing with the corresponding rule of grammar $S \rightarrow xxW \;\text{{print 1"}}$ $S \rightarrow y \;\text{{print 2"}}$ ... of $xxxxyzz$ using the syntax directed translation scheme described by the above rules? $23131$ $11233$ $11231$ $33211$
A shift reduce parser carries out the actions specified within braces immediately after reducing with the corresponding rule of grammar$S \rightarrow xxW \;\text{{print�...
Kathleen
9.9k
views
Kathleen
asked
Oct 8, 2014
Compiler Design
gate1995
compiler-design
grammar
syntax-directed-translation
normal
+
–
14
votes
1
answer
46
GATE CSE 1995 | Question: 2.9
A language with string manipulation facilities uses the following operations head(s): first character of a string tail(s): all but exclude the first character of a string concat(s1, s2): s1s2 For the string "$acbc$" what will be the output of concat(head(s), head(tail(tail(s)))) $ac$ $bc$ $ab$ $cc$
A language with string manipulation facilities uses the following operationshead(s): first character of a string tail(s): all but exclude the first character of a stringc...
Kathleen
4.3k
views
Kathleen
asked
Oct 8, 2014
Algorithms
gate1995
algorithms
normal
recursion
+
–
19
votes
3
answers
47
GATE CSE 1995 | Question: 2.8
If the cube roots of unity are $1, \omega$ and $\omega^2$, then the roots of the following equation are $(x-1)^3 +8 =0$ $-1, 1 + 2\omega, 1 + 2\omega^2$ $1, 1 - 2\omega, 1 - 2\omega^2$ $-1, 1 - 2\omega, 1 - 2\omega^2$ $-1, 1 + 2\omega, -1 + 2\omega^2$
If the cube roots of unity are $1, \omega$ and $\omega^2$, then the roots of the following equation are $$(x-1)^3 +8 =0$$$-1, 1 + 2\omega, 1 + 2\omega^2$ $1, 1 - 2\omeg...
Kathleen
2.7k
views
Kathleen
asked
Oct 8, 2014
Calculus
gate1995
calculus
normal
polynomials
+
–
56
votes
5
answers
48
GATE CSE 1995 | Question: 2.7
The address sequence generated by tracing a particular program executing in a pure demand based paging system with $100$ records per page with $1$ free main memory frame is recorded as follows. What is the number of page faults? $0100, 0200, 0430, 0499, 0510, 0530, 0560, 0120, 0220, 0240, 0260, 0320, 0370$ $13$ $8$ $7$ $10$
The address sequence generated by tracing a particular program executing in a pure demand based paging system with $100$ records per page with $1$ free main memory frame ...
Kathleen
16.3k
views
Kathleen
asked
Oct 8, 2014
Operating System
gate1995
operating-system
page-replacement
normal
+
–
47
votes
5
answers
49
GATE CSE 1995 | Question: 2.6
The sequence __________ is an optimal non-preemptive scheduling sequence for the following jobs which leaves the CPU idle for ________ unit(s) of time. ... $\{2, 1, 3\}, 0$ $\{3, 2, 1\}, 0$ $\{1, 2, 3\}, 5$
The sequence __________ is an optimal non-preemptive scheduling sequence for the following jobs which leaves the CPU idle for ________ unit(s) of time.$$\small \begin{arr...
Kathleen
16.5k
views
Kathleen
asked
Oct 8, 2014
Operating System
gate1995
operating-system
process-scheduling
normal
+
–
25
votes
4
answers
50
GATE CSE 1995 | Question: 2.5
What values of $A, B, C$ and $D$ satisfy the following simultaneous Boolean equations? $\overline{A} + AB =0, AB=AC, AB+A\overline{C}+CD=\overline{C}D$ $A=1, B=0, C=0, D=1$ $A=1, B=1, C=0, D=0$ $A=1, B=0, C=1, D=1$ $A=1, B=0, C=0, D=0$
What values of $A, B, C$ and $D$ satisfy the following simultaneous Boolean equations?$\overline{A} + AB =0, AB=AC, AB+A\overline{C}+CD=\overline{C}D$$A=1, B=0, C=0, D=1$...
Kathleen
7.7k
views
Kathleen
asked
Oct 8, 2014
Digital Logic
gate1995
digital-logic
boolean-algebra
easy
+
–
13
votes
6
answers
51
GATE CSE 1995 | Question: 2.4
What is the value of $X$ printed by the following program? program COMPUTE (input, output); var X:integer; procedure FIND (X:real); begin X:=sqrt(X); end; begin X:=2 FIND(X); writeln(X); end. $2$ $\sqrt{2}$ Run time error None of the above
What is the value of $X$ printed by the following program?program COMPUTE (input, output); var X:integer; procedure FIND (X:real); begin X:=sqrt(X); end; begin X:=2 FIND(...
Kathleen
7.1k
views
Kathleen
asked
Oct 8, 2014
Compiler Design
gate1995
compiler-design
parameter-passing
runtime-environment
easy
+
–
11
votes
3
answers
52
GATE CSE 1995 | Question: 2.3
Assume that $X$ and $Y$ are non-zero positive integers. What does the following Pascal program segment do? while X <> Y do if X > Y then X := X - Y else Y := Y - X; write(X); Computes the LCM of two numbers Divides the larger number by the smaller number Computes the GCD of two numbers None of the above
Assume that $X$ and $Y$ are non-zero positive integers. What does the following Pascal program segment do?while X < Y do if X Y then X := X - Y else Y := Y - X; write(X)...
Kathleen
3.6k
views
Kathleen
asked
Oct 8, 2014
Algorithms
gate1995
algorithms
identify-function
normal
+
–
29
votes
3
answers
53
GATE CSE 1995 | Question: 2.2
The capacity of a memory unit is defined by the number of words multiplied by the number of bits/word. How many separate address and data lines are needed for a memory of $4K \times 16$? $10$ address, $16$ data lines $11$ address, $8$ data lines $12$ address, $16$ data lines $12$ address, $12$ data lines
The capacity of a memory unit is defined by the number of words multiplied by the number of bits/word. How many separate address and data lines are needed for a memory of...
Kathleen
11.8k
views
Kathleen
asked
Oct 8, 2014
Digital Logic
gate1995
digital-logic
memory-interfacing
normal
+
–
0
votes
1
answer
54
GATE CSE 1995 | Question: 2.1
A sequence of two instructions that multiplies the contents of the DE register pair by 2 and stores the result in the HL register pair (in 8085 assembly language) is: XCHG and DAD B XTHL and DAD H PCHL and DAD D XCHG and DAD H
A sequence of two instructions that multiplies the contents of the DE register pair by 2 and stores the result in the HL register pair (in 8085 assembly language) is:XCHG...
Kathleen
3.8k
views
Kathleen
asked
Oct 8, 2014
CO and Architecture
gate1995
co-and-architecture
8085-microprocessor
out-of-gate-syllabus
+
–
33
votes
5
answers
55
GATE CSE 1995 | Question: 1.25
The minimum number of edges in a connected cyclic graph on $n$ vertices is: $n-1$ $n$ $n+1$ None of the above
The minimum number of edges in a connected cyclic graph on $n$ vertices is:$n-1$$n$$n+1$None of the above
Kathleen
21.2k
views
Kathleen
asked
Oct 8, 2014
Graph Theory
gate1995
graph-theory
graph-connectivity
easy
+
–
24
votes
7
answers
56
GATE CSE 1995 | Question: 1.24
The rank of the following $(n+1) \times (n+1)$ matrix, where $a$ ... $1$ $2$ $n$ Depends on the value of $a$
The rank of the following $(n+1) \times (n+1)$ matrix, where $a$ is a real number is $$ \begin{bmatrix} 1 & a & a^2 & \dots & a^n \\ 1 & a & a^2 & \dots & a^n \\ \vdots ...
Kathleen
5.1k
views
Kathleen
asked
Oct 8, 2014
Linear Algebra
gate1995
linear-algebra
matrix
normal
rank-of-matrix
+
–
0
votes
2
answers
57
GATE CSE 1995 | Question: 1.23
The value of $k$ for which $4x^2 – 8xy + ky^2 = 0$ does not represent a pair of straight lines (both passing through the origin) is: 0 2 9 3
The value of $k$ for which $4x^2 – 8xy + ky^2 = 0$ does not represent a pair of straight lines (both passing through the origin) is:0293
Kathleen
797
views
Kathleen
asked
Oct 8, 2014
Others
gate1995
lines-curves
out-of-gate-syllabus
+
–
2
votes
2
answers
58
GATE CSE 1995 | Question: 1.22
If at every point of a certain curve, the slope of the tangent equals $\frac{-2x}{y}$ the curve is a straight line a parabola a circle an ellipse
If at every point of a certain curve, the slope of the tangent equals $\frac{-2x}{y}$ the curve isa straight linea parabolaa circlean ellipse
Kathleen
2.5k
views
Kathleen
asked
Oct 8, 2014
Others
gate1995
lines-curves
out-of-gate-syllabus
+
–
26
votes
3
answers
59
GATE CSE 1995 | Question: 1.21
In the interval $[0, \pi]$ the equation $x=\cos x$ has No solution Exactly one solution Exactly two solutions An infinite number of solutions
In the interval $[0, \pi]$ the equation $x=\cos x$ has No solutionExactly one solutionExactly two solutionsAn infinite number of solutions
Kathleen
5.7k
views
Kathleen
asked
Oct 8, 2014
Calculus
gate1995
calculus
normal
maxima-minima
+
–
24
votes
6
answers
60
GATE CSE 1995 | Question: 1.20
The number of elements in the power set $P(S)$ of the set $S=\{\{\emptyset\}, 1, \{2, 3\}\}$ is: $2$ $4$ $8$ None of the above
The number of elements in the power set $P(S)$ of the set $S=\{\{\emptyset\}, 1, \{2, 3\}\}$ is:$2$$4$$8$None of the above
Kathleen
16.3k
views
Kathleen
asked
Oct 8, 2014
Set Theory & Algebra
gate1995
set-theory&algebra
normal
set-theory
+
–
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