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Recent questions in Engineering Mathematics
3
votes
0
answers
1
#linear algebra
why Eigen Vectors can not be zero ?
srijankarak_123
asked
in
Linear Algebra
Mar 23
by
srijankarak_123
25
views
0
votes
1
answer
2
Discrete mathematics Ch 1 : Propositional logic , Topic 2 : Logical operators or connectives
Which of the following is the negation of x is even iff x is divisible by 2 a) (x is even or x is not divisible by 2) and (x is not even or x is divisible by 2) b) (x is even and x is not divisible by 2) ... is divisible by 2) c) x is not even iff x is not divisible by 2 d) x is even if x is divisible by 2
lipishagupta
asked
in
Mathematical Logic
Mar 20
by
lipishagupta
63
views
0
votes
2
answers
3
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
Mar 13
by
saisri
99
views
0
votes
1
answer
4
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 ... 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
Mar 12
by
tbhaxor
106
views
propositional-logic
mathematical-logic
1
vote
1
answer
5
Why (p ∨ T) is not a tautology?
tbhaxor
asked
in
Mathematical Logic
Mar 5
by
tbhaxor
137
views
mathematical-logic
propositional-logic
0
votes
0
answers
6
#discrete
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
Feb 24
by
Çșȇ ʛấẗẻ
61
views
discrete-mathematics
kenneth-rosen
0
votes
0
answers
7
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 23
by
rick55
56
views
1
vote
1
answer
8
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 20
by
swapnil sahu
125
views
engineering-mathematics
propositional-logic
0
votes
1
answer
9
#GATE
Is Vector Subspace, Span, Basis, Dimension part of the gate CSE engineering mathematics linear algebra syllabus ?
sup739
asked
in
Linear Algebra
Feb 18
by
sup739
133
views
0
votes
1
answer
10
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 16
by
Arjun
1.2k
views
gate-ds-ai-2024
probability
0
votes
1
answer
11
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? $2$ $4$ $6$ $8$
Arjun
asked
in
Probability
Feb 16
by
Arjun
973
views
gate-ds-ai-2024
probability
0
votes
1
answer
12
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 { otherwise } \end ... variance of $X$, respectively, the value of $\lambda$ is $\_\_\_\_\_\_\_\_$ (rounded off to one decimal place).
Arjun
asked
in
Probability
Feb 16
by
Arjun
597
views
gate-ds-ai-2024
numerical-answers
probability
random-variable
0
votes
1
answer
13
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 $\_\_\_\_\_\_\_\_$ (rounded off to two decimal places).
Arjun
asked
in
Probability
Feb 16
by
Arjun
637
views
gate-ds-ai-2024
numerical-answers
probability
1
vote
1
answer
14
GATE DS&AI 2024 | Question: 50
Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \]
Arjun
asked
in
Calculus
Feb 16
by
Arjun
769
views
gate-ds-ai-2024
numerical-answers
limits
engineering-mathematics
2
votes
3
answers
15
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
3.0k
views
gatecse2024-set2
mathematical-logic
4
votes
1
answer
16
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
2.0k
views
gatecse2024-set2
calculus
definite-integral
2
votes
2
answers
17
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
2.5k
views
gatecse2024-set2
graph-theory
1
vote
1
answer
18
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
1.7k
views
gatecse2024-set2
probability
1
vote
2
answers
19
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
1.8k
views
gatecse2024-set2
numerical-answers
set-theory&algebra
partial-order
1
vote
3
answers
20
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
2.3k
views
gatecse2024-set2
probability
random-variable
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