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Recent questions in Engineering Mathematics
4
votes
2
answers
81
GO Classes Scholarship 2023 | Test | Question: 9
Consider the following graph $\text{G:}$ Let $\text{M, C, I, S, B, E}$ be the Matching number, chromatic number, independence number, Clique number, Vertex cover number, and edge cover number, respectively of $\text{G}.$ What is $\text{M+C+I+S+B+E}?$
GO Classes
asked
in
Graph Theory
Aug 7
by
GO Classes
284
views
goclasses-scholarship-test1
numerical-answers
goclasses
graph-theory
graph-connectivity
vertex-cover
2-marks
3
votes
1
answer
82
GO Classes Scholarship 2023 | Test | Question: 10
For which of the following does there exist a graph satisfying the specified conditions? A tree with six vertices and six edges. A tree with three or more vertices, two vertices of degree one, and all the other vertices with degree three or ... with $10$ vertices and $8$ edges. A disconnected graph with $12$ vertices and $11$ edges and no cycle.
GO Classes
asked
in
Graph Theory
Aug 7
by
GO Classes
215
views
goclasses-scholarship-test1
goclasses
graph-theory
graph-connectivity
multiple-selects
2-marks
3
votes
2
answers
83
GO Classes Scholarship 2023 | Test | Question: 11
Let $\text{U}$ be a set and $\text{X, Y} \subseteq \text{U}$. Define operation twist by $ \operatorname{twist}\text{(X, Y)} =(\text{X} \cap \text{Y}) \cup(\overline{\text{X}} \cap \overline{\text{Y}}). $ Which of the following ... $\operatorname{twist}\text{(X, Y)}=\operatorname{twist}(\overline{\text{X}}, \overline{\text{Y}})$
GO Classes
asked
in
Set Theory & Algebra
Aug 7
by
GO Classes
187
views
goclasses-scholarship-test1
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
4
votes
1
answer
84
GO Classes Scholarship 2023 | Test | Question: 12
How many non-isomorphic simple undirected graphs are there, each with four vertices and without a cycle?
GO Classes
asked
in
Graph Theory
Aug 7
by
GO Classes
215
views
goclasses-scholarship-test1
numerical-answers
goclasses
graph-theory
graph-isomorphism
2-marks
4
votes
2
answers
85
GO Classes Scholarship 2023 | Test | Question: 13
Let $\text{T}_{n}$ be the number of ways to arrange cars in a row with $n$ parking spaces if we can use sedans, SUVs, trucks to park such that a truck requires two spaces, whereas a sedan or SUV requires just one space each, and No two ... i.e. initial conditions are already given, hence no need to compute them)
GO Classes
asked
in
Combinatory
Aug 7
by
GO Classes
373
views
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
recurrence-relation
2-marks
0
votes
0
answers
86
Maths for natural science
Determine the domain of the function $f(x)=\left | x \right |+1$
Hailemariam
asked
in
Calculus
Aug 5
by
Hailemariam
92
views
calculus
functions
0
votes
1
answer
87
Self doubt : Set Theory
At a family group meeting of 30 women, 17 are descended from George, 16 are descended from John, and 5 are not descended from George or John. How many of the 30 women are descended from both George and John?
clendaya
asked
in
Set Theory & Algebra
Aug 4
by
clendaya
122
views
set-theory
0
votes
0
answers
88
Mathematics for Natural Science
Determine the domain of the function $f(x) = |x – 2|$
Hailemariam
asked
in
Calculus
Aug 3
by
Hailemariam
72
views
calculus
0
votes
0
answers
89
Mathematics for Natural Science
Sketch the graph of $f(x) = \frac{x^{3}-1}{x^{2}-1}$
kidussss
asked
in
Calculus
Jul 29
by
kidussss
120
views
calculus
0
votes
0
answers
90
Mathematics for Natural Science
Let y in the form of $a + bi$, where $a$ and $b$ are real numbers, be the cubic roots of complex number $z^{20},$ where $z=\frac{2}{4 + 3i}.$ Find $a + b.$
kidussss
asked
in
Combinatory
Jul 29
by
kidussss
93
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
1
answer
91
Mathematics for Natural Science
Prove that $2n < (n + 1)!, $ for all $ n \geq 3.$
kidussss
asked
in
Combinatory
Jul 29
by
kidussss
68
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
1
answer
92
Mathematics for Natural Science
Simplify $(A\cup B)\cap (A\cup B')\cap (A - B)$ for a given non empty sets $A$ and $B$, where $(A\cap B) = \varnothing .$
kidussss
asked
in
Combinatory
Jul 29
by
kidussss
78
views
discrete-mathematics
mathematical-logic
calculus
set-theory
0
votes
1
answer
93
Mathematics for Natural Science
Suppose $x, y, z > 1$ are integers, let: $p(x,y)$ : $x$ is a factor of $y$ $q(x,y,z)$ : $z$ = $\text{GCD}(x,y)$ $r(x)$ : $x$ is prime. Check if the following argument is valid or not. $(\forall x \exists y)p(x,y) \implies r(x)$ ... $(\exists x)(\forall y)(p(x,y) \lor r(x))$ $\therefore (\forall y)(\exists z)(\exists x)q(x,y,z)$
kidussss
asked
in
Mathematical Logic
Jul 29
by
kidussss
129
views
mathematical-logic
discrete-mathematics
0
votes
1
answer
94
A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 2, Problems, 18.
A deck consists of 52 playing cards which is well shuffled. Draw 6 cards. Find the probability that among the cards there will be a representative of all suits? can someone get to this answer –-→ 6283420/20358520
jomboy
asked
in
Probability
Jul 28
by
jomboy
149
views
probability
sheldon-ross
1
vote
1
answer
95
Made Easy Test Series
How to solve this question?
Abhrajyoti00
asked
in
Mathematical Logic
Jul 24
by
Abhrajyoti00
214
views
made-easy-test-series
combinatory
discrete-mathematics
0
votes
1
answer
96
Cengage algebra jee advanced.
Coefficient of x^8 in ( (1-x^6)/(1-x) )^3.
yuyutsu
asked
in
Combinatory
Jul 24
by
yuyutsu
133
views
combinatory
0
votes
1
answer
97
Self Doubt - Planarity of Complete Bipartite Graph
How to determine for which m, n the complete bipartite graph $Km,n$ is planar? I am getting two answers from two sources:- A complete bipartite graph $Kmn$ is planar if and only if m<3 or n>3. Source: https://www.javatpoint.com/ ... m ≤ 2 or n ≤ 2. Source: http://www.matthewkahle.org/download/file/fid/573 Need a proper proof of the solution.
Abhrajyoti00
asked
in
Graph Theory
Jul 21
by
Abhrajyoti00
130
views
graph-theory
bipartite-graph
discrete-mathematics
graph-planarity
1
vote
0
answers
98
maths
A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card ?
closed
jugnu1337
asked
in
Probability
Jul 19
by
jugnu1337
86
views
discrete-mathematics
probability
0
votes
3
answers
99
Discrete Mathematics
Any Good resource to understand this topic.
GateOverflow04
asked
in
Combinatory
Jul 11
by
GateOverflow04
613
views
combinatory
ace-test-series
0
votes
1
answer
100
Discrete Mathematics
Somebody please clarify the answer
GateOverflow04
asked
in
Combinatory
Jul 11
by
GateOverflow04
142
views
combinatory
ace-test-series
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