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Previous GATE
Featured
Highest voted questions
78
votes
6
answers
121
GATE CSE 1992 | Question: 92,xv
Which of the following predicate calculus statements is/are valid? $(\forall (x)) P(x) \vee (\forall(x))Q(x) \implies (\forall (x)) (P(x) \vee Q(x))$ $(\exists (x)) P(x) \wedge (\exists (x))Q(x) \implies (\exists (x)) (P(x) \wedge Q(x))$ ... $(\exists (x)) (P(x) \vee Q(x)) \implies \sim (\forall (x)) P(x) \vee (\exists (x)) Q(x)$
Arjun
asked
in
Mathematical Logic
Sep 2, 2014
by
Arjun
16.4k
views
gate1992
mathematical-logic
normal
first-order-logic
77
votes
3
answers
122
GATE CSE 2018 | Question: 28
Consider the first-order logic sentence $\varphi \equiv \exists \: s \: \exists \: t \: \exists \: u \: \forall \: v \: \forall \: w \forall \: x \: \forall \: y \: \psi(s, t, u, v, w, x, y)$ ... or equal to $3$ There exists no model of $\varphi$ with universe size of greater than $7$ Every model of $\varphi$ has a universe of size equal to $7$
gatecse
asked
in
Mathematical Logic
Feb 14, 2018
by
gatecse
22.3k
views
gatecse-2018
mathematical-logic
normal
first-order-logic
2-marks
77
votes
7
answers
123
GATE CSE 2018 | Question: 26
Consider a matrix P whose only eigenvectors are the multiples of $\begin{bmatrix} 1 \\ 4 \end{bmatrix}$. Consider the following statements. P does not have an inverse P has a repeated eigenvalue P cannot be diagonalized Which one of the ... III are necessarily true Only II is necessarily true Only I and II are necessarily true Only II and III are necessarily true
gatecse
asked
in
Linear Algebra
Feb 14, 2018
by
gatecse
27.2k
views
gatecse-2018
linear-algebra
matrix
eigen-value
normal
2-marks
77
votes
12
answers
124
GATE CSE 2017 Set 2 | Question: 39
Let $\delta$ denote the transition function and $\widehat{\delta}$ denote the extended transition function of the $\epsilon$ ... $\emptyset$ $\{q_0, q_1, q_3\}$ $\{q_0, q_1, q_2\}$ $\{q_0, q_2, q_3 \}$
Arjun
asked
in
Theory of Computation
Feb 14, 2017
by
Arjun
28.2k
views
gatecse-2017-set2
theory-of-computation
finite-automata
77
votes
1
answer
125
GATE CSE 2015 Set 3 | Question: 48
Consider the following C program: #include<stdio.h> int main() { int i, j, k = 0; j=2 * 3 / 4 + 2.0 / 5 + 8 / 5; k-=--j; for (i=0; i<5; i++) { switch(i+k) { case 1: case 2: printf("\n%d", i+k); ... : printf("\n%d", i+k); default: printf("\n%d", i+k); } } return 0; } The number of times printf statement is executed is _______.
go_editor
asked
in
Programming in C
Feb 16, 2015
by
go_editor
22.3k
views
gatecse-2015-set3
programming
programming-in-c
switch-case
normal
numerical-answers
77
votes
6
answers
126
GATE IT 2008 | Question: 64
A $1\;\text{Mbps}$ satellite link connects two ground stations. The altitude of the satellite is $36,504\;\text{km}$ and speed of the signal is $3 \times 10^{8}\;\text{m/s}.$ What should be the packet size for a channel utilization of $25\%$ for ... there are no errors during communication. $120\;\text{bytes}$ $60\;\text{bytes}$ $240\;\text{bytes}$ $90\;\text{bytes}$
Ishrat Jahan
asked
in
Computer Networks
Oct 28, 2014
by
Ishrat Jahan
24.7k
views
gateit-2008
computer-networks
sliding-window
normal
77
votes
6
answers
127
GATE CSE 2014 Set 3 | Question: 50
There are two elements $x,\:y$ in a group $(G,*)$ such that every element in the group can be written as a product of some number of $x$'s and $y$'s in some order. It is known that $x*x=y*y=x*y*x*y=y*x*y*x=e$ where $e$ is the identity element. The maximum number of elements in such a group is ____.
go_editor
asked
in
Set Theory & Algebra
Sep 28, 2014
by
go_editor
15.5k
views
gatecse-2014-set3
set-theory&algebra
group-theory
numerical-answers
normal
77
votes
8
answers
128
GATE CSE 2014 Set 2 | Question: 50
Consider the following relation on subsets of the set $S$ of integers between $1$ and $2014$. For two distinct subsets $U$ and $V$ of $S$ we say $U\:<\:V$ if the minimum element in the symmetric difference of the two sets is in $U$. Consider the ... $S1$ is true and $S2$ is false $S2$ is true and $S1$ is false Neither $S1$ nor $S2$ is true
go_editor
asked
in
Set Theory & Algebra
Sep 28, 2014
by
go_editor
15.9k
views
gatecse-2014-set2
set-theory&algebra
normal
set-theory
77
votes
8
answers
129
GATE CSE 2005 | Question: 74
Suppose the round trip propagation delay for a $10\text{ Mbps}$ Ethernet having $48\text{-bit}$ jamming signal is $46.4\ \mu s$. The minimum frame size is: $94$ $416$ $464$ $512$
Kathleen
asked
in
Computer Networks
Sep 22, 2014
by
Kathleen
48.3k
views
gatecse-2005
computer-networks
mac-protocol
ethernet
77
votes
5
answers
130
GATE CSE 2004 | Question: 29
The tightest lower bound on the number of comparisons, in the worst case, for comparison-based sorting is of the order of $n$ $n^2$ $n \log n$ $n \log^2n$
Kathleen
asked
in
Algorithms
Sep 18, 2014
by
Kathleen
33.4k
views
gatecse-2004
algorithms
sorting
asymptotic-notation
easy
76
votes
6
answers
131
GATE CSE 2015 Set 1 | Question: 34
Suppose $L = \left\{ p, q, r, s, t\right\}$ is a lattice represented by the following Hasse diagram: For any $x, y \in L$, not necessarily distinct , $x \vee y$ and $x \wedge y$ are join and meet of $x, y$ ... $p_r = 0$ $p_r = 1$ $0 < p_r ≤ \frac{1}{5}$ $\frac{1}{5} < p_r < 1$
makhdoom ghaya
asked
in
Set Theory & Algebra
Feb 13, 2015
by
makhdoom ghaya
17.2k
views
gatecse-2015-set1
set-theory&algebra
normal
lattice
76
votes
9
answers
132
GATE CSE 2015 Set 2 | Question: 52
$\text{Host A}$ sends a $\text{UDP}$ datagram containing $8880\text{ bytes}$ of user data to $\text{host B}$ over an $\text{Ethernet LAN}.$ Ethernet frames may carry data up to $1500\text{ bytes (i.e. MTU = 1500 bytes)}.$ Size of $\text{UDP}$ ... be the contents of offset field in the last fragment? $6$ and $925$ $6$ and $7400$ $7$ and $1110$ $7$ and $8880$
go_editor
asked
in
Computer Networks
Feb 13, 2015
by
go_editor
25.6k
views
gatecse-2015-set2
computer-networks
ip-packet
normal
76
votes
12
answers
133
GATE CSE 1994 | Question: 1.6, ISRO2008-29
The number of distinct simple graphs with up to three nodes is $15$ $10$ $7$ $9$
Kathleen
asked
in
Graph Theory
Oct 4, 2014
by
Kathleen
34.7k
views
gate1994
graph-theory
graph-connectivity
combinatory
normal
isro2008
counting
76
votes
10
answers
134
GATE CSE 2014 Set 2 | Question: 33
A computer has twenty physical page frames which contain pages numbered $101$ through $120$. Now a program accesses the pages numbered $\text{1, 2, ..., 100}$ in that order, and repeats the access sequence THRICE. Which one of ... as the optimal page replacement policy for this program? Least-recently-used First-in-first-out Last-in-first-out Most-recently-used
go_editor
asked
in
Operating System
Sep 28, 2014
by
go_editor
28.6k
views
gatecse-2014-set2
operating-system
page-replacement
ambiguous
76
votes
6
answers
135
GATE CSE 2008 | Question: 42
$G$ is a graph on $n$ vertices and $2n-2$ edges. The edges of $G$ can be partitioned into two edge-disjoint spanning trees. Which of the following is NOT true for $G$? For every subset of $k$ vertices, the induced subgraph has at ... least $2$ edge-disjoint paths between every pair of vertices. There are at least $2$ vertex-disjoint paths between every pair of vertices.
Akshay Jindal
asked
in
Graph Theory
Sep 27, 2014
by
Akshay Jindal
23.5k
views
gatecse-2008
graph-connectivity
normal
76
votes
5
answers
136
GATE CSE 2007 | Question: 23
Which of the following graphs has an Eulerian circuit? Any $k$-regular graph where $k$ is an even number. A complete graph on $90$ vertices. The complement of a cycle on $25$ vertices. None of the above
Kathleen
asked
in
Graph Theory
Sep 21, 2014
by
Kathleen
25.2k
views
gatecse-2007
graph-theory
normal
graph-connectivity
76
votes
9
answers
137
GATE CSE 2006 | Question: 25
Let $S = \{1, 2, 3,\ldots, m\}, m >3.$ Let $X_1,\ldots,X_n$ be subsets of $S$ each of size $3.$ Define a function $f$ from $S$ to the set of natural numbers as, $f(i)$ is the number of sets $X_j$ that contain the element $i.$ That is $f(i)=\left | \left\{j \mid i\in X_j \right\} \right|$ then $ \sum_{i=1}^{m} f(i)$ is: $3m$ $3n$ $2m+1$ $2n+1$
Rucha Shelke
asked
in
Set Theory & Algebra
Sep 18, 2014
by
Rucha Shelke
11.0k
views
gatecse-2006
set-theory&algebra
normal
functions
75
votes
8
answers
138
GATE CSE 2016 Set 2 | Question: 33
Consider a $3 \ \text{GHz}$ (gigahertz) processor with a three stage pipeline and stage latencies $\large\tau_1,\tau_2$ and $\large\tau_3$ such that $\large\tau_1 =\dfrac{3 \tau_2}{4}=2\tau_3$. If the longest pipeline stage is split into two pipeline stages of equal latency , the new frequency is __________ $\text{GHz}$, ignoring delays in the pipeline registers.
Akash Kanase
asked
in
CO and Architecture
Feb 12, 2016
by
Akash Kanase
19.1k
views
gatecse-2016-set2
co-and-architecture
pipelining
normal
numerical-answers
75
votes
11
answers
139
GATE IT 2005 | Question: 41
Given below is a program which when executed spawns two concurrent processes : semaphore $X : = 0 ;$ /* Process now forks into concurrent processes $P1$ & $P2$ ... (II) are true. (I) is true but (II) is false. (II) is true but (I) is false Both (I) and (II) are false
Ishrat Jahan
asked
in
Operating System
Nov 3, 2014
by
Ishrat Jahan
23.9k
views
gateit-2005
operating-system
process-synchronization
normal
75
votes
11
answers
140
GATE CSE 1994 | Question: 1.11
In a compact single dimensional array representation for lower triangular matrices (i.e all the elements above the diagonal are zero) of size $n \times n$, non-zero elements, (i.e elements of lower triangle) of each row are stored one after another, starting from the first row, the index of the ... is: $i+j$ $i+j-1$ $(j-1)+\frac{i(i-1)}{2}$ $i+\frac{j(j-1)}{2}$
Kathleen
asked
in
DS
Oct 4, 2014
by
Kathleen
28.1k
views
gate1994
data-structures
array
normal
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