Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Filter
Recent
Hot!
Most votes
Most answers
Most views
Previous GATE
Featured
Most answered questions in Engineering Mathematics
40
votes
9
answers
61
GATE CSE 2009 | Question: 22
For the composition table of a cyclic group shown below: ... $a,b$ are generators $b,c$ are generators $c,d$ are generators $d,a$ are generators
gatecse
asked
in
Set Theory & Algebra
Sep 15, 2014
by
gatecse
8.8k
views
gatecse-2009
set-theory&algebra
normal
group-theory
38
votes
9
answers
62
GATE CSE 2001 | Question: 2.1
How many $4$-digit even numbers have all $4$ digits distinct? $2240$ $2296$ $2620$ $4536$
Kathleen
asked
in
Combinatory
Sep 14, 2014
by
Kathleen
12.6k
views
gatecse-2001
combinatory
normal
39
votes
9
answers
63
GATE CSE 1991 | Question: 03,xii
If $F_1$, $F_2$ and $F_3$ are propositional formulae such that $F_1 \land F_2 \rightarrow F_3$ and $F_1 \land F_2 \rightarrow \sim F_3$ are both tautologies, then which of the following is true: Both $F_1$ and $F_2$ are tautologies The conjunction $F_1 \land F_2$ is not satisfiable Neither is tautologous Neither is satisfiable None of the above
Kathleen
asked
in
Mathematical Logic
Sep 12, 2014
by
Kathleen
8.7k
views
gate1991
mathematical-logic
normal
propositional-logic
multiple-selects
111
votes
9
answers
64
GATE CSE 2012 | Question: 38
Let $G$ be a complete undirected graph on $6$ vertices. If vertices of $G$ are labeled, then the number of distinct cycles of length $4$ in $G$ is equal to $15$ $30$ $90$ $360$
gatecse
asked
in
Graph Theory
Sep 12, 2014
by
gatecse
34.8k
views
gatecse-2012
graph-theory
normal
marks-to-all
counting
25
votes
9
answers
65
GATE CSE 2008 | Question: 1
$\displaystyle \lim_{x \to \infty}\frac{x-\sin x}{x+\cos x}$ equals $1$ $-1$ $\infty$ $-\infty$
Kathleen
asked
in
Calculus
Sep 11, 2014
by
Kathleen
10.0k
views
gatecse-2008
calculus
limits
easy
14
votes
8
answers
66
GATE CSE 2021 Set 1 | Question: 7
Let $p$ and $q$ be two propositions. Consider the following two formulae in propositional logic. $S_1: (\neg p\wedge(p\vee q))\rightarrow q$ $S_2: q\rightarrow(\neg p\wedge(p\vee q))$ Which one of the following choices is correct? Both $S_1$ and ... but $S_2$ is not a tautology $S_1$ is not a tautology but $S_2$ is a tautology Neither $S_1$ nor $S_2$ is a tautology
Arjun
asked
in
Mathematical Logic
Feb 18, 2021
by
Arjun
8.1k
views
gatecse-2021-set1
mathematical-logic
propositional-logic
1-mark
42
votes
8
answers
67
GATE CSE 2020 | Question: 39
Which one of the following predicate formulae is NOT logically valid? Note that $W$ is a predicate formula without any free occurrence of $x$. $\forall x (p(x) \vee W) \equiv \forall x \: ( px) \vee W$ ... $\exists x(p(x) \rightarrow W) \equiv \forall x \: p(x) \rightarrow W$
Arjun
asked
in
Mathematical Logic
Feb 12, 2020
by
Arjun
17.0k
views
gatecse-2020
first-order-logic
mathematical-logic
2-marks
28
votes
8
answers
68
GATE CSE 2020 | Question: 42
The number of permutations of the characters in LILAC so that no character appears in its original position, if the two L’s are indistinguishable, is ______.
Arjun
asked
in
Combinatory
Feb 12, 2020
by
Arjun
16.4k
views
gatecse-2020
numerical-answers
combinatory
2-marks
10
votes
8
answers
69
ISI2017-MMA-29
Suppose the rank of the matrix $\begin{pmatrix}1&1&2&2\\1&1&1&3\\a&b&b&1\end{pmatrix}$ is $2$ for some real numbers $a$ and $b$. Then $b$ equals $1$ $3$ $1/2$ $1/3$
jjayantamahata
asked
in
Linear Algebra
Mar 29, 2018
by
jjayantamahata
2.7k
views
isi2017-mma
engineering-mathematics
linear-algebra
rank-of-matrix
35
votes
8
answers
70
GATE CSE 2018 | Question: 15
Two people, $P$ and $Q$, decide to independently roll two identical dice, each with $6$ faces, numbered $1$ to $6$. The person with the lower number wins. In case of a tie, they roll the dice repeatedly until there is no tie. Define a ... and that all trials are independent. The probability (rounded to $3$ decimal places) that one of them wins on the third trial is ____
gatecse
asked
in
Probability
Feb 14, 2018
by
gatecse
10.9k
views
gatecse-2018
probability
normal
numerical-answers
1-mark
29
votes
8
answers
71
GATE CSE 2017 Set 1 | Question: 01
The statement $\left ( ¬p \right ) \Rightarrow \left ( ¬q \right )$ is logically equivalent to which of the statements below? $p \Rightarrow q$ $q \Rightarrow p$ $\left ( ¬q \right ) \vee p$ $\left ( ¬p \right ) \vee q$ I only I and IV only II only II and III only
khushtak
asked
in
Mathematical Logic
Feb 14, 2017
by
khushtak
8.9k
views
gatecse-2017-set1
mathematical-logic
propositional-logic
easy
45
votes
8
answers
72
GATE CSE 2017 Set 2 | Question: 52
If the characteristic polynomial of a $3 \times 3$ matrix $M$ over $\mathbb{R}$ (the set of real numbers) is $\lambda^3 – 4 \lambda^2 + a \lambda +30, \quad a \in \mathbb{R}$, and one eigenvalue of $M$ is $2,$ then the largest among the absolute values of the eigenvalues of $M$ is _______
Madhav
asked
in
Linear Algebra
Feb 14, 2017
by
Madhav
15.4k
views
gatecse-2017-set2
engineering-mathematics
linear-algebra
numerical-answers
eigen-value
36
votes
8
answers
73
GATE CSE 1987 | Question: 10b
What is the generating function $G(z)$ for the sequence of Fibonacci numbers?
makhdoom ghaya
asked
in
Combinatory
Nov 14, 2016
by
makhdoom ghaya
9.8k
views
gate1987
combinatory
generating-functions
descriptive
43
votes
8
answers
74
GATE CSE 2006 | Question: 73
The $2^n$ vertices of a graph $G$ corresponds to all subsets of a set of size $n$, for $n \geq 6$. Two vertices of $G$ are adjacent if and only if the corresponding sets intersect in exactly two elements. The number of connected components in $G$ is: $n$ $n + 2$ $2^{\frac{n}{2}}$ $\frac{2^{n}}{n}$
go_editor
asked
in
Graph Theory
Apr 24, 2016
by
go_editor
8.7k
views
gatecse-2006
graph-theory
normal
graph-connectivity
50
votes
8
answers
75
GATE CSE 2016 Set 2 | Question: 26
A binary relation $R$ on $\mathbb{N} \times \mathbb{N}$ is defined as follows: $(a, b) R(c, d)$ if $a \leq c$ or $b \leq d$. Consider the following propositions: $P:$ $R$ is reflexive. $Q:$ $R$ is transitive. Which one of the following statements is TRUE? ... and $Q$ are true. $P$ is true and $Q$ is false. $P$ is false and $Q$ is true. Both $P$ and $Q$ are false.
Akash Kanase
asked
in
Set Theory & Algebra
Feb 12, 2016
by
Akash Kanase
14.6k
views
gatecse-2016-set2
set-theory&algebra
relations
normal
85
votes
8
answers
76
GATE CSE 2016 Set 2 | Question: 28
Consider a set $U$ of $23$ different compounds in a chemistry lab. There is a subset $S$ of $U$ of $9$ compounds, each of which reacts with exactly $3$ compounds of $U$. Consider the following statements: Each compound in U \ S reacts ... \ S reacts with an even number of compounds. Which one of the above statements is ALWAYS TRUE? Only I Only II Only III None.
Akash Kanase
asked
in
Set Theory & Algebra
Feb 12, 2016
by
Akash Kanase
16.6k
views
gatecse-2016-set2
set-theory&algebra
difficult
set-theory
20
votes
8
answers
77
TIFR CSE 2015 | Part A | Question: 7
A $1 \times 1$ chessboard has one square, a $2 \times 2$ chessboard has five squares. Continuing along this fashion, what is the number of squares on the regular $8 \times 8$ chessboard? $64$ $65$ $204$ $144$ $256$
makhdoom ghaya
asked
in
Combinatory
Dec 5, 2015
by
makhdoom ghaya
3.1k
views
tifr2015
combinatory
counting
72
votes
8
answers
78
GATE IT 2005 | Question: 32
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is $3$ $4$ $5$ $6$
Ishrat Jahan
asked
in
Probability
Nov 3, 2014
by
Ishrat Jahan
29.5k
views
gateit-2005
probability
binomial-distribution
expectation
normal
37
votes
8
answers
79
GATE IT 2005 | Question: 31
Let $f$ be a function from a set $A$ to a set $B$, $g$ a function from $B$ to $C$, and $h$ a function from $A$ to $C$, such that $h(a) = g(f(a))$ for all $a ∈ A.$ Which of the following statements is always true for all such functions $f$ and $g$? ... is onto $h$ is onto $\implies$ $f$ is onto $h$ is onto $\implies$ $g$ is onto $h$ is onto $\implies$ $f$ and $g$ are onto
Ishrat Jahan
asked
in
Set Theory & Algebra
Nov 3, 2014
by
Ishrat Jahan
8.8k
views
gateit-2005
set-theory&algebra
functions
normal
29
votes
8
answers
80
GATE IT 2005 | Question: 3
The determinant of the matrix given below is $\begin{bmatrix} 0 &1 &0 &2 \\ -1& 1& 1& 3\\ 0&0 &0 & 1\\ 1& -2& 0& 1 \end{bmatrix}$ $-1$ $0$ $1$ $2$
Ishrat Jahan
asked
in
Linear Algebra
Nov 3, 2014
by
Ishrat Jahan
20.3k
views
gateit-2005
linear-algebra
normal
determinant
Page:
« prev
1
2
3
4
5
6
7
8
9
...
520
next »
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
(3.5k)
Engineering Mathematics
(10.4k)
Discrete Mathematics
(7.1k)
Probability
(1.4k)
Linear Algebra
(1.1k)
Calculus
(792)
Optimization
(0)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Admissions
(684)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...
Network Sites
GO Mechanical
GO Electrical
GO Electronics
GO Civil
CSE Doubts
Aptitude Overflow