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Recent questions in Engineering Mathematics
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1
Counting
Suppose that there are nine students in a discrete mathematics class at a small college. a) Show that the class must have at least five male students or at least five female students. b) Show that the class must have at least three male students or at least seven female students.
Suppose that there are nine students in a discrete mathematics class at a smallcollege.a) Show that the class must have at least five male students or at least five femal...
Nini
15
views
Nini
asked
9 hours
ago
Combinatory
discrete-mathematics
combinatory
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–
0
votes
1
answer
2
Function Composition Question Oscar Levin Qn. 20
Let $f : X \rightarrow Y$ and $g : Y \rightarrow Z$ be functions. We can define the composition of $f$ and $g$ to be the function $g \circ f : X \rightarrow Z$ for which the image of each $x \in X$ is $g( f (x))$. That is, plug ... $f$ and $g$? Explain. (d) Suppose $g \circ f$ is surjective. What, if anything, can you say about $f$ and $g$? Explain.
Let $f : X \rightarrow Y$ and $g : Y \rightarrow Z$ be functions. We can define the composition of $f$ and $g$ to be the function $g \circ f : X \rightarrow Z$ for which ...
Deepak Poonia
27
views
Deepak Poonia
asked
1 day
ago
Set Theory & Algebra
discrete-mathematics
functions
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–
0
votes
0
answers
3
ISI PCB 2023 Q3
vbsurya
41
views
vbsurya
asked
6 days
ago
0
votes
1
answer
4
ISI PCB 2023 Q1
Suppose there are three types of people in the world. A person is honest if the person always speaks the truth. A person is a liar if the person always lies. A person is normal if the person sometimes speaks the truth and sometimes lies. In a city ... . C: B is not normal. Based on the above, deduce with appropriate justifications who among A, B and C has committed the crime.
Suppose there are three types of people in the world.A person is “honest” if the person always speaks the truth. A person is a “liar” if the person always lies. A...
vbsurya
80
views
vbsurya
asked
6 days
ago
1
votes
0
answers
5
ISI PCB 2023 Q2
vbsurya
27
views
vbsurya
asked
6 days
ago
0
votes
1
answer
6
IIT Madras MS DSAI Written Test 2024
If the determinant and sum of eigen values of a 2 x 2 matrix are -1 and 0 then, what can you say about the rank of the given matrix? a) rank is 0 b) rank is 1 c) Insufficient information d) rank is 2
If the determinant and sum of eigen values of a 2 x 2 matrix are -1 and 0 then, what can you say about the rank of the given matrix?a) rank is 0b) rank is 1c) Insufficien...
harshrajhrj
104
views
harshrajhrj
asked
6 days
ago
Linear Algebra
iit-madras
written-test
admissions
linear-algebra
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–
0
votes
1
answer
7
IIT Madras MS DSAI Written Test 2024
Given, that the eigen values of a 2 x 2 matrix are -1,1 and its singular values are 1,0. What is the rank of the matrix? a) rank is 0 b) rank is 1 c) Such a matrix can't exist d) rank is 2
Given, that the eigen values of a 2 x 2 matrix are -1,1 and its singular values are 1,0. What is the rank of the matrix?a) rank is 0b) rank is 1c) Such a matrix can't exi...
harshrajhrj
71
views
harshrajhrj
asked
6 days
ago
Linear Algebra
iit-madras
written-test
admissions
linear-algebra
+
–
0
votes
0
answers
8
IIT Madras MS DSAI Written Test 2024
Two fair 6-face diced are tossed independently. Let X be the random variable of the sum of two numbers on dices and let Y be the absolute difference of two numbers on dices. What is the value of P( X $\geq$ 2Y)? a) 22/36 b) 24/36 c) 26/36 c) 28/36 d) 32/36
Two fair 6-face diced are tossed independently. Let X be the random variable of the sum of two numbers on dices and let Y be the absolute difference of two numbers on dic...
harshrajhrj
80
views
harshrajhrj
asked
6 days
ago
Probability
iit-madras
written-test
admissions
probability
random-variable
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1
votes
0
answers
9
David Stirzaker, Elementary Probability, Chapter 1, Example 1.9 Urn
An urn contains $n$ heliotrope and $n$ tangerine balls. A fair die with $n$ sides is rolled. If the $r^{th}$ face is shown, $r$ balls are removed from the urn and placed in a bag. What is the probability that a ball removed at random from the bag is tangerine?
An urn contains $n$ heliotrope and $n$ tangerine balls. A fair die with $n$ sides is rolled. If the $r^{th}$ face is shown, $r$ balls are removed from the urn and placed ...
Priyam Garg
79
views
Priyam Garg
asked
Apr 26
Probability
probability
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–
0
votes
0
answers
10
Kenneth H. Rosen, Chapter 1
When three professors are seated in a restaurant, the hostess asks them: Does everyone want coffee? The first professor says: I do not know. The second professor then says: I do not know. Finally, the third professor says: No, not ... wants coffee. The hostess comes back and gives coffee to the professors who want it. How did she figure out who wanted coffee?
When three professors are seated in a restaurant, the hostess asks them: “Does everyone want coffee?” The first professor says: “I do not know.” The second profe...
ENTJ007
53
views
ENTJ007
asked
Apr 26
0
votes
0
answers
11
Finite Automata Combined with Relation
Let DFA , M = (Q, ∑, δ, q$_0$, F) and Relation R is defined on Q as R:Q$\rightarrow$Q such that pRq iff $\forall$ w ∈ $\Sigma$* [ δ*(p,w) ∈ F $\leftrightarrow$ δ*(p,w) ∈ F OR δ* (p, w) ∉ F $\leftrightarrow$ δ* (q, w) ∉ F] then ____________ A) R is Reflexive B) R is Symmetric C) R is transitive D) None
Let DFA , M = (Q, ∑, δ, q$_0$, F) and Relation R is defined on Q as R:Q$\rightarrow$Q such that pRq iff $\forall$ w ∈ $\Sigma$* [ δ*(p,w) ∈ F $\leftrightarrow$ δ...
jaydip74
57
views
jaydip74
asked
Apr 23
Set Theory & Algebra
finite-automata
relations
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–
1
votes
0
answers
12
Charles C Pinter Abstract Algebra
If G is a group, G=(F(R), +), F(R) set of all real valued functions. H={f€F(R) ; f(-x)=-f(x)} Is H a subgroup of G? My solution.(Click on link..I have not shown th associative prt coz addition is always associative) please let me know if iam correct. https://ibb.co/sPzHg6m https://ibb.co/sPzHg6m
If G is a group, G=(F(R), +), F(R) set of all real valued functions.H={f€F(R) ; f(-x)=-f(x)}Is H a subgroup of G?My solution.(Click on link..I have not shown th associa...
yuyutsu
67
views
yuyutsu
asked
Apr 20
Set Theory & Algebra
discrete-mathematics
group-theory
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–
3
votes
2
answers
13
Poset
Consider the poset ({3,5,9,15,24,45},|). Which of the following is correct for the given poset? A. There exists a least element but not a greatest element B. There exists a greatest element but not a least element C. There exists a greatest element and a least element D. There does not exist a greatest element and a least element
Consider the poset ({3,5,9,15,24,45},|). Which of the following is correct for the given poset? A. There exists a least element but not a greatest elementB. There exists ...
akhilroom001
246
views
akhilroom001
asked
Apr 20
Mathematical Logic
discrete-mathematics
set-theory
partial-order
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–
0
votes
1
answer
14
Linear Algebra AX=B
Consider a matrix A (n×m) ,X(m×n) and B(n×n) such that AX=B . If A has k linearly independent columns then what conclusions can we nake about the number of linearly independent columns of B.
Consider a matrix A (n×m) ,X(m×n) and B(n×n) such that AX=B . If A has k linearly independent columns then what conclusions can we nake about the number of linearly in...
Soumya04
96
views
Soumya04
asked
Apr 16
Mathematical Logic
linear-algebra
matrix
+
–
0
votes
1
answer
15
ISI kolkata MTech CS 2019
Let $K_n$ denote the complete graph on $n$ vertices, with $n ≥ 3$, and let $u$, $v$, $w$ be three distinct vertices of $K_n$. Determine the number of distinct paths from $u$ to $v$ that do not contain the vertex $w$.
Let $K_n$ denote the complete graph on $n$ vertices, with $n ≥ 3$, and let $u$, $v$, $w$ be three distinct vertices of $K_n$. Determine the number of distinct paths fro...
suvasish114
117
views
suvasish114
asked
Apr 16
Graph Theory
graph-theory
combinatory
isi2019-pcb-cs
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–
0
votes
1
answer
16
self doubt
how to check the validity of an a argument using laws of logics
how to check the validity of an a argument using laws of logics
farhan777
56
views
farhan777
asked
Apr 14
Mathematical Logic
self-doubt
discrete-mathematics
+
–
0
votes
0
answers
17
Discrete Mathematics | Set Theory | Relation | Equivalance Relation
which if the following statement is True for every set? a. $\exists$ a equivalence class that is also a partition set. b. Every equivalence relation on a set defines a partition of that set. c. $\exists$ a partition of a set that is also equal to equivalence class of the set on some equivalence relation.
which if the following statement is True for every set?a. $\exists$ a equivalence class that is also a partition set.b. Every equivalence relation on a set defines a part...
RahulVerma3
76
views
RahulVerma3
asked
Apr 12
Set Theory & Algebra
discrete-mathematics
set-theory
analytical-aptitude
equivalence-class
+
–
4
votes
1
answer
18
GO Classes DA 2025 | Weekly Quiz 6 | Change of Basis & Linear Transformation | Question: 1
Let $T_{1}, T_{2}: R^{5} \rightarrow R^{3}$ be linear transformations s.t $\operatorname{rank}\left(T_{1}\right)=3$ and nullity $\left(T_{2}\right)=3$. Let $T_{3}: R^{3} \rightarrow R^{3}$ be linear transformation s.t $T_{3}\left(T_{1}\right)=T_{2}$. Then find rank of $T_{3}$
Let $T_{1}, T_{2}: R^{5} \rightarrow R^{3}$ be linear transformations s.t $\operatorname{rank}\left(T_{1}\right)=3$ and nullity $\left(T_{2}\right)=3$. Let $T_{3}: R^{3} ...
GO Classes
87
views
GO Classes
asked
Apr 11
Linear Algebra
goclasses2025_da_wq1
numerical-answers
linear-algebra
2-marks
+
–
4
votes
1
answer
19
GO Classes DA 2025 | Weekly Quiz 6 | Change of Basis & Linear Transformation | Question: 2
Suppose that $\left\{\mathbf{v}_{\mathbf{1}}, \mathbf{v}_{\mathbf{2}}, \mathbf{v}_{\mathbf{3}}\right\}$ is a linearly independent set of vectors in $\mathbb{R}^{6}$ ... is linearly independent $\left\{\mathbf{v}_{2}, \mathbf{v}_{3}, \mathbf{w}\right\}$ is linearly independent
Suppose that $\left\{\mathbf{v}_{\mathbf{1}}, \mathbf{v}_{\mathbf{2}}, \mathbf{v}_{\mathbf{3}}\right\}$ is a linearly independent set of vectors in $\mathbb{R}^{6}$.Furth...
GO Classes
93
views
GO Classes
asked
Apr 11
Linear Algebra
goclasses2025_da_wq1
linear-algebra
easy
multiple-selects
1-mark
+
–
3
votes
1
answer
20
GO Classes DA 2025 | Weekly Quiz 6 | Change of Basis & Linear Transformation | Question: 3
Let the linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{3}$ be defined by $T\left(x_{1}, x_{2}\right)=\left(x_{1}, x_{1}+x_{2}, x_{2}\right)$. Then the nullity of $T$ is: 0 1 2 3
Let the linear transformation $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{3}$ be defined by $T\left(x_{1}, x_{2}\right)=\left(x_{1}, x_{1}+x_{2}, x_{2}\right)$. Then the n...
GO Classes
79
views
GO Classes
asked
Apr 11
Linear Algebra
goclasses2025_da_wq1
linear-algebra
rank-of-matrix
1-mark
+
–
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