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Recent activity in Engineering Mathematics
48
votes
5
answers
1
GATE CSE 2017 Set 1 | Question: 19
Let $X$ be a Gaussian random variable with mean 0 and variance $\sigma ^{2}$. Let $Y$ = $\max\left ( X,0 \right )$ where $\max\left ( a,b \right )$ is the maximum of $a$ and $b$. The median of $Y$ is ______________ .
____
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Probability
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____
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normal-distribution
43
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2
answers
2
GATE CSE 1989 | Question: 1-v
The number of possible commutative binary operations that can be defined on a set of $n$ elements (for a given $n$) is ___________.
____
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Set Theory & Algebra
4 days
ago
by
____
6.4k
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gate1989
descriptive
set-theory&algebra
binary-operation
25
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4
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3
TIFR CSE 2010 | Part A | Question: 8
Which of the following is NOT necessarily true? { Notation: The symbol ''$\neg$''notes negation; $P (x, y)$ means that for given $x$ and $y$, the property $P(x, y)$ is true }. $(∀x∀y P(x, y)) \Rightarrow (∀y∀x P(x, y))$ ... $(∃x∀y P(x, y)) \Rightarrow (∀y∃x P(x, y))$ $(∀x∃y P(x, y)) \Rightarrow (∃y∀x P(x, y))$
Sahil5635
answered
in
Mathematical Logic
5 days
ago
by
Sahil5635
3.2k
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tifr2010
mathematical-logic
first-order-logic
50
votes
9
answers
4
GATE IT 2005 | Question: 36
Let $P(x)$ and $Q(x)$ ...
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Mathematical Logic
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꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂
14.5k
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23
votes
6
answers
5
GATE CSE 2018 | Question: 17
Consider a matrix $A= uv^T$ where $u=\begin{pmatrix}1 \\ 2 \end{pmatrix} , v = \begin{pmatrix}1 \\1 \end{pmatrix}$. Note that $v^T$ denotes the transpose of $v$. The largest eigenvalue of $A$ is ____
dharmik_3103
answered
in
Linear Algebra
5 days
ago
by
dharmik_3103
10.1k
views
gatecse-2018
linear-algebra
eigen-value
normal
numerical-answers
1-mark
3
votes
0
answers
6
#linear algebra
why Eigen Vectors can not be zero ?
srijankarak_123
asked
in
Linear Algebra
5 days
ago
by
srijankarak_123
22
views
69
votes
6
answers
7
GATE CSE 2016 Set 2 | Question: 27
Which one of the following well-formed formulae in predicate calculus is NOT valid ? $(\forall _{x} p(x) \implies \forall _{x} q(x)) \implies (\exists _{x} \neg p(x) \vee \forall _{x} q(x))$ ... $\forall x (p(x) \vee q(x)) \implies (\forall x p(x) \vee \forall x q(x))$
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Mathematical Logic
Mar 22
by
꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂
16.7k
views
gatecse-2016-set2
mathematical-logic
first-order-logic
normal
1
vote
0
answers
8
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 $E(Y | X = 1.5)$.
maheshv21
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in
Probability
Mar 21
by
maheshv21
179
views
gate2024-da-memory-based
goclasses
probability
expectation
numerical-answers
0
votes
1
answer
9
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
answer selected
in
Mathematical Logic
Mar 21
by
lipishagupta
52
views
6
votes
1
answer
10
NIELIT Scientist B 2020 November: 84
Given the truth table of a Binary Operation \$ as follows: $ ... hline \end{array}$ Identify the matching Boolean Expression. $X \$ \neg Y$ $\neg X \$ Y$ $\neg X \$ \neg Y$ none of the options
Deepak Poonia
commented
in
Mathematical Logic
Mar 20
by
Deepak Poonia
645
views
nielit-scb-2020
mathematical-logic
propositional-logic
discrete-mathematics
1
vote
1
answer
11
GATE DS&AI 2024 | Question: 50
Evaluate the following limit: \[ \lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \]
makhdoom ghaya
edited
in
Calculus
Mar 20
by
makhdoom ghaya
755
views
gate-ds-ai-2024
numerical-answers
limits
engineering-mathematics
0
votes
1
answer
12
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).
makhdoom ghaya
edited
in
Probability
Mar 20
by
makhdoom ghaya
627
views
gate-ds-ai-2024
numerical-answers
probability
0
votes
1
answer
13
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).
makhdoom ghaya
edited
in
Probability
Mar 20
by
makhdoom ghaya
591
views
gate-ds-ai-2024
numerical-answers
probability
random-variable
41
votes
9
answers
14
GATE CSE 1996 | Question: 2.1
Let $R$ denote the set of real numbers. Let $f:R\times R \rightarrow R \times R$ be a bijective function defined by $f(x,y) = (x+y, x-y)$. The inverse function of $f$ is given by $f^{-1} (x,y) = \left( \frac {1}{x+y}, \frac{1}{x-y}\right)$ ... $f^{-1}(x,y)=\left [ 2\left(x-y\right),2\left(x+y\right) \right ]$
ritiksri8
commented
in
Set Theory & Algebra
Mar 20
by
ritiksri8
9.5k
views
gate1996
set-theory&algebra
functions
normal
42
votes
8
answers
15
GATE CSE 2020 | Question: 39
Which one of the following predicate formulae is NOT logically valid? Note that $W$ is a predicate formula without any free occurrence of $x$. $\forall x (p(x) \vee W) \equiv \forall x \: ( px) \vee W$ ... $\exists x(p(x) \rightarrow W) \equiv \forall x \: p(x) \rightarrow W$
Rohit139
answered
in
Mathematical Logic
Mar 20
by
Rohit139
16.8k
views
gatecse-2020
first-order-logic
mathematical-logic
2-marks
49
votes
10
answers
16
GATE CSE 2016 Set 1 | Question: 05
Two eigenvalues of a $3 \times 3$ real matrix $P$ are $(2+\sqrt {-1})$ and $3$. The determinant of $P$ is _______
reccurGautam
answered
in
Linear Algebra
Mar 20
by
reccurGautam
14.4k
views
gatecse-2016-set1
linear-algebra
eigen-value
numerical-answers
normal
43
votes
14
answers
17
GATE CSE 2021 Set 2 | Question: 24
Suppose that $P$ is a $4 \times 5$ matrix such that every solution of the equation $\text{Px=0}$ is a scalar multiple of $\begin{bmatrix} 2 & 5 & 4 &3 & 1 \end{bmatrix}^T$. The rank of $P$ is __________
Skb55871
commented
in
Linear Algebra
Mar 19
by
Skb55871
17.9k
views
gatecse-2021-set2
numerical-answers
linear-algebra
matrix
rank-of-matrix
1-mark
55
votes
6
answers
18
GATE CSE 2011 | Question: 30
Which one of the following options is CORRECT given three positive integers $x, y$ and $z$ ... always true irrespective of the value of $x$ $P(x)$ being true means that $x$ has exactly two factors other than $1$ and $x$
꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂
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Mathematical Logic
Mar 19
by
꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂
13.1k
views
gatecse-2011
mathematical-logic
normal
first-order-logic
69
votes
5
answers
19
GATE CSE 2010 | Question: 30
Suppose the predicate $F(x, y, t)$ is used to represent the statement that person $x$ can fool person $y$ at time $t$. Which one of the statements below expresses best the meaning of the formula, $\qquad∀x∃y∃t(¬F(x,y,t))$ Everyone can ... time No one can fool everyone all the time Everyone cannot fool some person all the time No one can fool some person at some time
꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂
commented
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Mathematical Logic
Mar 19
by
꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂
69.9k
views
gatecse-2010
mathematical-logic
easy
first-order-logic
46
votes
10
answers
20
GATE CSE 2016 Set 2 | Question: 05
Suppose that a shop has an equal number of LED bulbs of two different types. The probability of an LED bulb lasting more than $100$ hours given that it is of Type $1$ is $0.7$, and given that it is of Type $2$ is $0.4$. The probability that an LED bulb chosen uniformly at random lasts more than $100$ hours is _________.
EagerLearner
commented
in
Probability
Mar 19
by
EagerLearner
9.4k
views
gatecse-2016-set2
probability
conditional-probability
normal
numerical-answers
0
votes
1
answer
21
Memory Based GATE DA 2024 | Question: 53
Consider the following scenarios involving linear algebra: For a \(3 \times 3\) matrix, if some vector p has a unique solution, can there exist another vector q with an infinite solution? For a \(3 \times 3\) matrix, if some vector p ... 2 \times 3\) matrix, if some vector p has a unique solution, can there exist another vector q with an infinite solution?
Ajay Sreenivas
answered
in
Linear Algebra
Mar 19
by
Ajay Sreenivas
110
views
gate2024-da-memory-based
goclasses
linear-algebra
system-of-equations
4
votes
4
answers
22
Self Doubt: Mathematical Logic
Is the assertion "This statement is false" a proposition?
TusharRana
answered
in
Mathematical Logic
Mar 18
by
TusharRana
2.1k
views
mathematical-logic
28
votes
4
answers
23
GATE CSE 2018 | Question: 16
The value of $\int^{\pi/4} _0 x \cos(x^2) dx$ correct to three decimal places (assuming that $\pi = 3.14$) is ____
Anuj Yadav
commented
in
Calculus
Mar 18
by
Anuj Yadav
16.0k
views
gatecse-2018
calculus
integration
normal
numerical-answers
1-mark
7
votes
3
answers
24
Mathematics GATE 2011 probability
A fair die is tossed two times. the probability that 2nd toss results in value greater than first toss is ?
Creatorpk
answered
in
Probability
Mar 17
by
Creatorpk
2.4k
views
gate-ec
probability
expectation
21
votes
3
answers
25
GATE CSE 2005 | Question: 49
What are the eigenvalues of the following $2\times 2$ matrix? $\left( \begin{array}{cc} 2 & -1\\ -4 & 5\end{array}\right)$ $-1$ and $1$ $1$ and $6$ $2$ and $5$ $4$ and $-1$
Aman Dabral
commented
in
Linear Algebra
Mar 17
by
Aman Dabral
5.9k
views
gatecse-2005
linear-algebra
eigen-value
easy
6
votes
1
answer
26
GATE CSE 2024 | Set 1 | Question: 39
Let $A$ be any $n \times m$ matrix, where $m>n$. Which of the following statements is/are TRUE about the system of linear equations $Ax=0$? There exist at least $m-n$ linearly independent solutions to this system There exist $m-n$ ... solution in which at least $m-n$ variables are $0$ There exists a solution in which at least $n$ variables are non-zero
Sonamatta22
commented
in
Linear Algebra
Mar 17
by
Sonamatta22
2.5k
views
gatecse2024-set1
multiple-selects
linear-algebra
50
votes
4
answers
27
GATE CSE 2005 | Question: 41
What is the first order predicate calculus statement equivalent to the following? "Every teacher is liked by some student" $∀(x)\left[\text{teacher}\left(x\right) → ∃(y) \left[\text{student}\left(y\right) → \text{likes}\left(y,x\right)\right]\right]$ ...
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commented
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Mathematical Logic
Mar 17
by
꧁༒☬ĿọŗԀ 🆂🅷🅸🆅🅰☬༒꧂
11.6k
views
gatecse-2005
mathematical-logic
easy
first-order-logic
25
votes
7
answers
28
GATE CSE 2006 | Question: 22
Let $E, F$ and $G$ be finite sets. Let $X = (E ∩ F) - (F ∩ G)$ and $Y = (E - (E ∩ G)) - (E - F)$. Which one of the following is true? $X ⊂ Y$ $X ⊃ Y$ $X = Y$ $X - Y ≠ \emptyset$ and $Y - X ≠ \emptyset$
ritiksri8
commented
in
Set Theory & Algebra
Mar 17
by
ritiksri8
6.4k
views
gatecse-2006
set-theory&algebra
normal
set-theory
25
votes
5
answers
29
GATE CSE 2005 | Question: 8
Let $A, B$ and $C$ be non-empty sets and let $X = ( A - B ) - C$ and $Y = ( A - C ) - ( B - C ).$ Which one of the following is TRUE? $X = Y$ $X ⊂ Y$ $Y ⊂ X$ None of these
ritiksri8
commented
in
Set Theory & Algebra
Mar 17
by
ritiksri8
6.9k
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gatecse-2005
set-theory&algebra
easy
set-theory
36
votes
6
answers
30
GATE CSE 2017 Set 2 | Question: 21
Consider the set $X=\{a, b, c, d, e\}$ under partial ordering $R=\{(a,a), (a, b), (a, c), (a, d), (a, e), (b, b), (b, c), (b, e), (c, c), (c, e), (d, d), (d, e), (e, e) \}$ The Hasse diagram of the partial order $(X, R)$ is shown below. The minimum number of ordered pairs that need to be added to $R$ to make $(X, R)$ a lattice is ______
ritiksri8
answered
in
Set Theory & Algebra
Mar 17
by
ritiksri8
11.6k
views
gatecse-2017-set2
set-theory&algebra
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numerical-answers
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