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Questions without answers in Engineering Mathematics
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1
#discrete
Çșȇ ʛấẗẻ
60
views
Çșȇ ʛấẗẻ
asked
Feb 24
Mathematical Logic
discrete-mathematics
kenneth-rosen
+
–
0
votes
0
answers
2
Question on Quotient set
What will be quotient set for equivalence relation R={(x,y) ∣ x ≡ y mod 5} in set builder form?
What will be quotient set for equivalence relation R={(x,y) ∣ x ≡ y mod 5} in set builder form?
rick55
54
views
rick55
asked
Feb 23
0
votes
0
answers
3
Regular expression to finite automata
Çșȇ ʛấẗẻ
199
views
Çșȇ ʛấẗẻ
asked
Feb 15
Mathematical Logic
finite-automata
theory-of-computation
regular-expression
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–
0
votes
0
answers
4
COA Self doubt
Çșȇ ʛấẗẻ
83
views
Çșȇ ʛấẗẻ
asked
Feb 15
Mathematical Logic
co-and-architecture
self-doubt
+
–
1
votes
0
answers
5
Gate 2016
The minimum number of colours that is sufficient to vertex-colour any planar graph is ________. I am confused with the question's language. please correct me if I have a wrong assumption. We need to tell the minimum colors required for a planar graph. Suppose I start ... is only fixed to 4. I understand the answer not to be less than 4. What does the word "any" means here?
The minimum number of colours that is sufficient to vertex-colour any planar graph is ________.I am confused with the question's language.please correct me if I have a wr...
TusharRana
180
views
TusharRana
asked
Feb 8
0
votes
0
answers
6
Combinatorics & Probability
A rumor is spread randomly among a group of 10 people by successively having one person call someone, who calls someone, and so on. A person can pass the rumor on to anyone except the individual who just called. (a) By how many different paths can a rumor ... in $N$ calls? (c) What is the probability that if $A$ starts the rumor, then $A$ receives the third calls?
A rumor is spread randomly among a group of 10 people by successively having one person call someone, who calls someone, and so on. A person can pass the rumor on to anyo...
Debargha Mitra Roy
137
views
Debargha Mitra Roy
asked
Feb 8
Combinatory
combinatory
counting
+
–
0
votes
0
answers
7
#self doubt
Can someone please verify it ? isn't should be 8. https://www.toppr.com/ask/question/the-cardinality-of-the-power-set-of-left-phi-left-phiright-left-phi-left/ Let S={ϕ,{ϕ},{ϕ,{ϕ}}} P(s)= Power Set of set S P(s)={ϕ,{ϕ},{ϕ,{ϕ}},{ϕ,{ϕ,{ϕ}}},{{ϕ},{ϕ,{ϕ}}},{ϕ,{ϕ},{ϕ,{ϕ}}}} n(P(s))=6.
Can someone please verify it ? isn't should be 8. https://www.toppr.com/ask/question/the-cardinality-of-the-power-set-of-left-phi-left-phiright-left-phi-left/Let S={ϕ,{�...
Dknights
112
views
Dknights
asked
Feb 6
Set Theory & Algebra
discrete-mathematics
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–
0
votes
0
answers
8
Memory Based GATE DA 2024 | Question: 5
Consider a matrix \(M \in \mathbb{R}^{3 \times 3}\) and let \(U\) be a 2-dimensional subspace such that \(M\) is a projection onto \(U\). Which of the following statements are true? \(M^3 = M\) \(M^2 = M\) The nullspace of \(M\) is 1-dimensional. The nullspace of \(M\) is 2-dimensional.
Consider a matrix \(M \in \mathbb{R}^{3 \times 3}\) and let \(U\) be a 2-dimensional subspace such that \(M\) is a projection onto \(U\). Which of the following statement...
GO Classes
203
views
GO Classes
asked
Feb 4
Linear Algebra
gate2024-da-memory-based
goclasses
linear-algebra
vector-space
+
–
0
votes
0
answers
9
Memory Based GATE DA 2024 | Question: 11
Consider a dataset with a raw score \(x = 75\), a mean \(\mu = 70\), and a standard deviation \(\sigma = 5\). Calculate the Z-score using the formula \(z = \frac{x - \mu}{\sigma}\).
Consider a dataset with a raw score \(x = 75\), a mean \(\mu = 70\), and a standard deviation \(\sigma = 5\). Calculate the Z-score using the formula \(z = \frac{x - \mu}...
GO Classes
169
views
GO Classes
asked
Feb 4
Probability
gate2024-da-memory-based
goclasses
probability
normal-distribution
numerical-answers
+
–
1
votes
0
answers
10
Memory Based GATE DA 2024 | Question: 15
Consider the joint probability density function given by: $ f(x, y)= \begin{cases} 2xy & \text{if } 0 < x < 2 \text{ and } 0 < y < x \\ 0 & \text{otherwise} \end{cases} $ \noindent Determine the conditional expectation $E(Y | X = 1.5)$.
Consider the joint probability density function given by:$$f(x, y)=\begin{cases} 2xy & \text{if } 0 < x < 2 \text{ and } 0 < y < x \\ 0 & \text{otherwise}\e...
GO Classes
184
views
GO Classes
asked
Feb 4
Probability
gate2024-da-memory-based
goclasses
probability
expectation
numerical-answers
+
–
1
votes
0
answers
11
Memory Based GATE DA 2024 | Question: 28
Consider a function \(f\) with \(f^1(X^*) = 0\) and \(f^{1l}(X^*) > 0\). Based on these conditions, determine the nature of the critical point \(X^*\) for the function \(f(X)\). \(X^*\) is a local maximum \(X^*\) is a local minimum \(X^*\) is a global maximum \(X^*\) is a global minimum
Consider a function \(f\) with \(f^1(X^*) = 0\) and \(f^{1l}(X^*) 0\). Based on these conditions, determine the nature of the critical point \(X^*\) for the function \(f...
GO Classes
148
views
GO Classes
asked
Feb 4
Calculus
gate2024-da-memory-based
goclasses
calculus
maxima-minima
+
–
0
votes
0
answers
12
Memory Based GATE DA 2024 | Question: 35
Conditional probability \[ \begin{aligned} & \mathrm{P}(\mathrm{U}, \mathrm{V}, \mathrm{W}, \mathrm{X}, \mathrm{Y}) & = \mathrm{P}(\mathrm{U}) \cdot \mathrm{P}(\mathrm{V}) \cdot \mathrm{P}(\mathrm{W} / \mathrm{U}, \mathrm{V}) \cdot \mathrm{P}(\mathrm{X} / \mathrm{W}) \cdot \mathrm{P}(\mathrm{Y} / \mathrm{W}) \end{aligned} \]
Conditional probability\[\begin{aligned} & \mathrm{P}(\mathrm{U}, \mathrm{V}, \mathrm{W}, \mathrm{X}, \mathrm{Y}) & = \mathrm{P}(\mathrm{U}) \cdot \mathrm{P...
GO Classes
132
views
GO Classes
asked
Feb 4
Probability
gate2024-da-memory-based
goclasses
probability
conditional-probability
+
–
0
votes
0
answers
13
Memory Based GATE DA 2024 | Question: 41
Consider two random variables, $x$ and $y$, defined as follows: \[ x = \begin{cases} 1 & \text{if HH } \\ 0 & \text{otherwise} \end{cases} \] \[ y = \begin{cases} 1 & \text{if at least one head} \\ 0 & \text{otherwise} \end{cases} \] What is the covariance between $x$ and $y?$
Consider two random variables, $x$ and $y$, defined as follows:\[x =\begin{cases}1 & \text{if HH } \\0 & \text{otherwise}\end{cases}\]\[y =\begin{cases}1 & \text{if at le...
GO Classes
88
views
GO Classes
asked
Feb 4
Probability
gate2024-da-memory-based
goclasses
probability
statistics
+
–
0
votes
0
answers
14
Memory Based GATE DA 2024 | Question: 44
Consider the statements below related to probability distributions: \textbf{(S1):} For a Poisson distribution, the mean and variance are equal. \textbf{(S2):} For a standard normal distribution, the mean is 0, and the variance is 1. Which of the following ... true. S1 is true, but S2 is false. S1 is false, but S2 is true. Both S1 and S2 are false.
Consider the statements below related to probability distributions:\textbf{(S1):} For a Poisson distribution, the mean and variance are equal.\textbf{(S2):} For a standar...
GO Classes
139
views
GO Classes
asked
Feb 4
Probability
gate2024-da-memory-based
goclasses
probability
poisson-distribution
normal-distribution
+
–
0
votes
0
answers
15
Memory Based GATE DA 2024 | Question: 52
Consider the function \(f(x) = \frac{x^4}{4} - \frac{2x^3}{3} - \frac{3x^2}{2}\). Which of the following statements about the critical points of \(f(x)\) are correct? Local minima at \(x = 0\) Local maxima at \(x = 0\) Local minima at \(x = 3\) Local minima at \(x = -1\)
Consider the function \(f(x) = \frac{x^4}{4} - \frac{2x^3}{3} - \frac{3x^2}{2}\).Which of the following statements about the critical points of \(f(x)\) are correct?Local...
GO Classes
136
views
GO Classes
asked
Feb 4
Calculus
gate2024-da-memory-based
goclasses
calculus
maxima-minima
+
–
0
votes
0
answers
16
Memory Based GATE DA 2024 | Question: 57
First-order logic question: All balls are round except rugby balls.
First-order logic question: All balls are round except rugby balls.
GO Classes
97
views
GO Classes
asked
Feb 4
Mathematical Logic
gate2024-da-memory-based
goclasses
mathematical-logic
first-order-logic
+
–
0
votes
0
answers
17
Memory Based GATE DA 2024 | Question: 60
Linear Algebra Question: Four options were given related to subspace R3. Something like this : A. \( \alpha \cdot x + \beta \cdot y \) B. \( \alpha^2 \cdot x + \beta^2 \cdot y \) C. \(f(x) = 4x_1 + 2x_3 + 3x_3 \) D.
Linear Algebra Question: Four options were given related to subspace R3.Something like this :A. \( \alpha \cdot x + \beta \cdot y \)B. \( \alpha^2 \cdot x + \beta^2 \cdot...
GO Classes
118
views
GO Classes
asked
Feb 4
Linear Algebra
gate2024-da-memory-based
goclasses
linear-algebra
vector-space
+
–
1
votes
0
answers
18
Memory Based GATE DA 2024 | Question: 64
Minimum Number of colors in concentric circles.
Minimum Number of colors in concentric circles.
GO Classes
117
views
GO Classes
asked
Feb 4
Graph Theory
gate2024-da-memory-based
goclasses
graph-theory
graph-coloring
+
–
0
votes
0
answers
19
madeeasy
plz explain option c
plz explain option c
nihal_chourasiya
88
views
nihal_chourasiya
asked
Feb 1
Mathematical Logic
engineering-mathematics
maxima-minima
+
–
3
votes
0
answers
20
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 61
Let $S$ be the set of all functions $f: \mathbb{R} \rightarrow \mathbb{R}$. Consider the two binary operations + and $\circ$ on $S$ ... law $(g+h) \circ f=(g \circ f)+(h \circ f)$. None III only II and III only I, II, and III
Let $S$ be the set of all functions $f: \mathbb{R} \rightarrow \mathbb{R}$. Consider the two binary operations + and $\circ$ on $S$ defined as pointwise addition and comp...
GO Classes
411
views
GO Classes
asked
Jan 28
Set Theory & Algebra
goclasses2024-mockgate-13
goclasses
set-theory&algebra
group-theory
2-marks
+
–
0
votes
0
answers
21
Madeeasy test 45, question 48
Can anyone please explain the statements II and III?
Can anyone please explain the statements II and III?
VinayBhojwani
140
views
VinayBhojwani
asked
Jan 15
Mathematical Logic
2-marks
engineering-mathematics
made-easy-test-series
+
–
0
votes
0
answers
22
Madeeasy 2024 full length test 3
Can anyone please help me solve this question or explain the formula used in the solution part of the same?
Can anyone please help me solve this question or explain the formula used in the solution part of the same?
VinayBhojwani
144
views
VinayBhojwani
asked
Jan 12
0
votes
0
answers
23
Linear Transformation of Matrix
Debargha Mitra Roy
60
views
Debargha Mitra Roy
asked
Jan 12
Linear Algebra
linear-algebra
matrix
+
–
0
votes
0
answers
24
Consider a weighted undirected graph with positive edge weights and let (u, v) be an [2] edge in the graph. It is known that the shortest path from source vertex r to u has weight 53 and shortest path from r to v has weight 65. Which statement is always true?
Consider a weighted undirected graph with positive edge weights and let (u, v) be an edge in the graph. It is known that the shortest path from source vertex r to u hasw...
Malusi
88
views
Malusi
asked
Jan 12
0
votes
0
answers
25
GATE 2016 | MATHS | QUESTION-47
Let \( A = \begin{bmatrix} a & b & c \\ b& d & e\\ c& e& f\end{bmatrix} \) be a real matrix with eigenvalues 1, 0, and 3. If the eigenvectors corresponding to 1 and 0 are \(\begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}\) and \(\begin{bmatrix} 1 \\ -1 \\ 0 \end{bmatrix}\) respectively, then the value of \(3f\) is equal to ________________________
Let \( A = \begin{bmatrix} a & b & c \\ b& d & e\\ c& e& f\end{bmatrix} \) be a real matrix with eigenvalues 1, 0, and 3. If the eigenvectors corresponding to 1 and 0 are...
rajveer43
151
views
rajveer43
asked
Jan 11
Linear Algebra
linear-algebra
+
–
0
votes
0
answers
26
GATE 2016 | MATHS | Q-12
Consider the following statements P and Q: (P) : If \( M = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 2 & 4 \\ 1 & 3 & 9 \end{bmatrix} \), then M is singular. (Q) : Let S be a diagonalizable matrix. If T is a matrix such that \( ... ), then T is diagonalizable. Which of the above statements hold TRUE? (A) both P and Q (B) only P (C) only Q (D) Neither P nor Q
Consider the following statements P and Q:(P) : If \( M = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 2 & 4 \\ 1 & 3 & 9 \end{bmatrix} \), then M is singular.(Q) : Let S be a diagon...
rajveer43
87
views
rajveer43
asked
Jan 11
Linear Algebra
linear-algebra
+
–
0
votes
0
answers
27
GATE 2016 | MATHS | Q-14
Consider a real vector space \( V \) of dimension \( n \) and a non-zero linear transformation \( T: \mathbb{V} \rightarrow \mathbb{V} \). If \( \text{dim}(T) < n \) and $T^2 = \lambda T$, for some \( \lambda \in \mathbb{R} \backslash \{0\} \), then which ... 0 \) for all \( X \in \mathbb{W} \) (C) \( T \) is invertible (D) \( \lambda\) is the only eigenvalue of \( T \)
Consider a real vector space \( V \) of dimension \( n \) and a non-zero linear transformation \( T: \mathbb{V} \rightarrow \mathbb{V} \). If \( \text{dim}(T) < n \) and ...
rajveer43
71
views
rajveer43
asked
Jan 11
Linear Algebra
linear-algebra
+
–
0
votes
0
answers
28
GATE 2018 | MATH | Q-64
Let \(X_1\) and \(X_2\) be independent geometric random variables with the same probability mass function given by \(P(X = k) = p(1 - p)^{k-1}\), \(k = 1, 2, \ldots\). Then the value of \(P(X_1 = 2 | X_1 + X_2 = 4)\) correct up to three decimal places is____________
Let \(X_1\) and \(X_2\) be independent geometric random variables with the same probability mass function given by \(P(X = k) = p(1 - p)^{k-1}\), \(k = 1, 2, \ldots\). Th...
rajveer43
101
views
rajveer43
asked
Jan 11
Probability
probability
statistics
+
–
0
votes
0
answers
29
GATE 2018 | MATHS | Q-63
Let $X$ be the number of heads in 4 tosses of a fair coin by Person 1 and let $Y$ be the number of heads in 4 tosses of a fair coin by Person 2. Assume that all the tosses are independent. Then the value of $P(X = Y )$ correct up to three decimal places is_________
Let $X$ be the number of heads in 4 tosses of a fair coin by Person 1 and let $Y$ be the number of heads in 4 tosses of a fair coin by Person 2. Assume that all the tosse...
rajveer43
95
views
rajveer43
asked
Jan 11
Probability
probability
+
–
0
votes
0
answers
30
GATE 2018 | MATHS | Q-55
Let \( A \) be a \(3 \times 3\) matrix with real entries. If three solutions of the linear system of differential equations \(\dot{x}(t) = Ax(t)\) are given by \[ \begin{bmatrix} e^t - e^{2t} \\ -e^{t} + e^{2t} \\ e^t + e^{2t} \end{bmatrix}, \begin{bmatrix} ... \\ e^{-t} - 2e^t \\ -e^{-t} + 2e^t \end{bmatrix}, \] then the sum of the diagonal entries of \( A \) is equal to
Let \( A \) be a \(3 \times 3\) matrix with real entries. If three solutions of the linear system of differential equations \(\dot{x}(t) = Ax(t)\) are given by\[\begin{bm...
rajveer43
84
views
rajveer43
asked
Jan 11
Linear Algebra
linear-algebra
+
–
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