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Recent questions in Engineering Mathematics
0
votes
2
answers
1
Find no of sets A and B such that A n B = {3,5} and A U B = {2,3,5,7,8)
saisri
asked
in
Set Theory & Algebra
5 days
ago
by
saisri
62
views
0
votes
1
answer
2
Does Either...Or means Exclusive Or or Inclusive Or?
Let's take a compound propositions Either it is below freezing or it is snowing. Now if $p$: it is below freezing $q$: it is snowing Will it be $p \vee q$ or $p \oplus q$? There are some instances where semantics are required. For ... this both cases can't be true, because if you are ill you can't appear for example and you must be in one state.
tbhaxor
asked
in
Mathematical Logic
6 days
ago
by
tbhaxor
64
views
propositional-logic
mathematical-logic
1
vote
1
answer
3
Why (p ∨ T) is not a tautology?
tbhaxor
asked
in
Mathematical Logic
Mar 5
by
tbhaxor
106
views
mathematical-logic
propositional-logic
0
votes
0
answers
4
#discrete
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
Feb 24
by
Çșȇ ʛấẗẻ
50
views
discrete-mathematics
kenneth-rosen
0
votes
0
answers
5
Question on Quotient set
What will be quotient set for equivalence relation R={(x,y) ∣ x ≡ y mod 5} in set builder form?
rick55
asked
in
Set Theory & Algebra
Feb 24
by
rick55
44
views
1
vote
1
answer
6
if p implies q is true then the truth value of which of the following cannot be determined
a) ~p\/q b) ~q=>~p c) ~p=>~q d) ~(p/\~q) can someone provide the solution?
swapnil sahu
asked
in
Mathematical Logic
Feb 21
by
swapnil sahu
101
views
engineering-mathematics
propositional-logic
0
votes
1
answer
7
#GATE
Is Vector Subspace, Span, Basis, Dimension part of the gate CSE engineering mathematics linear algebra syllabus ?
sup739
asked
in
Linear Algebra
Feb 19
by
sup739
112
views
0
votes
1
answer
8
GATE DS&AI 2024 | Question: 1
Consider the following statements: The mean and variance of a Poisson random variable are equal. For a standard normal random variable, the mean is zero and the variance is one. Which ONE of the following options is correct? Both $\text{(i)}$ and $\text{(ii)}$ are true ... $\text{(i)}$ is false Both $\text{(i)}$ and $\text{(ii)}$ are false
Arjun
asked
in
Probability
Feb 17
by
Arjun
1.1k
views
gate-ds-ai-2024
probability
0
votes
1
answer
9
GATE DS&AI 2024 | Question: 26
A fair six-sided die (with faces numbered $1,2,3,4,5,6$ ) is repeatedly thrown independently. What is the expected number of times the die is thrown until two consecutive throws of even numbers are seen? $2$ $4$ $6$ $8$ A fair six-sided die ( ... is the expected number of times the die is thrown until two consecutive throws of even numbers are seen? $2$ $4$ $6$ $8$
Arjun
asked
in
Probability
Feb 17
by
Arjun
924
views
gate-ds-ai-2024
probability
0
votes
1
answer
10
GATE DS&AI 2024 | Question: 47
Let $X$ be a random variable exponentially distributed with parameter $\lambda>0$. The probability density function of $X$ is given by: \[ f_{X}(x)=\left\{\begin{array}{ll} \lambda e^{-\lambda x}, \quad x \geq 0 \\ 0, & \text ... $X$, respectively, the value of $\lambda$ is (rounded off to one decimal place).
Arjun
asked
in
Probability
Feb 17
by
Arjun
573
views
gate-ds-ai-2024
numerical-answers
probability
random-variable
0
votes
1
answer
11
GATE DS&AI 2024 | Question: 48
Consider two events $T$ and $S$. Let $\bar{T}$ denote the complement of the event $T$. The probability associated with different events are given as follows: \[ P(\bar{T})=0.6, \quad P(S \mid T)=0.3, \quad P(S \mid \bar{T})=0.6 \] Then, $P(T \mid S)$ is ( ... P(S \mid T)=0.3, \quad P(S \mid \bar{T})=0.6 \] Then, $P(T \mid S)$ is (rounded off to two decimal places).
Arjun
asked
in
Probability
Feb 17
by
Arjun
608
views
gate-ds-ai-2024
numerical-answers
probability
1
vote
1
answer
12
GATE DS&AI 2024 | Question: 50
Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \] Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \] ... Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \]
Arjun
asked
in
Calculus
Feb 17
by
Arjun
737
views
gate-ds-ai-2024
numerical-answers
limits
engineering-mathematics
2
votes
3
answers
13
GATE CSE 2024 | Set 2 | Question: 2
Let $p$ and $q$ be the following propositions: $p$ : Fail grade can be given. $q$ : Student scores more than $50 \%$ marks. Consider the statement: "Fail grade cannot be given when student scores more than $50 \%$ marks." ... above statement in propositional logic? $q \rightarrow \neg p$ $q \rightarrow p$ $p \rightarrow q$ $\neg p \rightarrow q$
Arjun
asked
in
Mathematical Logic
Feb 16
by
Arjun
2.8k
views
gatecse2024-set2
mathematical-logic
4
votes
1
answer
14
GATE CSE 2024 | Set 2 | Question: 6
Let $f(x)$ be a continuous function from $\mathbb{R}$ to $\mathbb{R}$ such that \[ f(x)=1-f(2-x) \] Which one of the following options is the CORRECT value of $\int_{0}^{2} f(x) d x$ ? $0$ $1$ $2$ $-1$
Arjun
asked
in
Calculus
Feb 16
by
Arjun
1.9k
views
gatecse2024-set2
calculus
definite-integral
2
votes
2
answers
15
GATE CSE 2024 | Set 2 | Question: 7
Let $\text{A}$ be the adjacency matrix of a simple undirected graph $\text{G}$. Suppose $\text{A}$ is its own inverse. Which one of the following statements is always TRUE? $\text{G}$ is a cycle $\text{G}$ is a perfect matching $\text{G}$ is a complete graph There is no such graph $\text{G}$
Arjun
asked
in
Graph Theory
Feb 16
by
Arjun
2.4k
views
gatecse2024-set2
graph-theory
1
vote
1
answer
16
GATE CSE 2024 | Set 2 | Question: 8
When six unbiased dice are rolled simultaneously, the probability of getting all distinct numbers $(i.e., 1, 2, 3, 4, 5, \text{and } 6)$ is $\frac{1}{324}$ $\frac{5}{324}$ $\frac{7}{324}$ $\frac{11}{324}$
Arjun
asked
in
Probability
Feb 16
by
Arjun
1.6k
views
gatecse2024-set2
probability
1
vote
2
answers
17
GATE CSE 2024 | Set 2 | Question: 24
Let $\text{P}$ be the partial order defined on the set $\{1,2,3,4\}$ as follows \[ P=\{(x, x) \mid x \in\{1,2,3,4\}\} \cup\{(1,2),(3,2),(3,4)\} \] The number of total orders on $\{1,2,3,4\}$ that contain $\text{P}$ is __________.
Arjun
asked
in
Set Theory & Algebra
Feb 16
by
Arjun
1.7k
views
gatecse2024-set2
numerical-answers
set-theory&algebra
partial-order
1
vote
3
answers
18
GATE CSE 2024 | Set 2 | Question: 34
Let $x$ and $y$ be random variables, not necessarily independent, that take real values in the interval $[0,1]$. Let $z=x y$ and let the mean values of $x, y, z$ be $\bar{x}, \bar{y}, \bar{z}$ ... $\bar{z} \leq \bar{x} \bar{y}$ $\bar{z} \geq \bar{x} \bar{y}$ $\bar{z} \leq \bar{x}$
Arjun
asked
in
Probability
Feb 16
by
Arjun
2.1k
views
gatecse2024-set2
probability
random-variable
1
vote
0
answers
19
GATE CSE 2024 | Set 2 | Question: 37
Let $A$ be an $n \times n$ matrix over the set of all real numbers $\mathbb{R}$. Let $B$ be a matrix obtained from $A$ by swapping two rows. Which of the following statements is/are TRUE? The determinant of $B$ is the negative of the ... If $A$ is symmetric, then $B$ is also symmetric If the trace of $A$ is zero, then the trace of $B$ is also zero
Arjun
asked
in
Linear Algebra
Feb 16
by
Arjun
1.7k
views
gatecse2024-set2
linear-algebra
multiple-selects
1
vote
2
answers
20
GATE CSE 2024 | Set 2 | Question: 50
The chromatic number of a graph is the minimum number of colours used in a proper colouring of the graph. The chromatic number of the following graph is __________.
Arjun
asked
in
Graph Theory
Feb 16
by
Arjun
1.6k
views
gatecse2024-set2
graph-theory
numerical-answers
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