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Hot questions in Engineering Mathematics
1
votes
1
answer
2701
Ace booklet questions no 07
If A∆B = (A intersection B) whole complement than the universal set is??
If A∆B = (A intersection B) whole complement than the universal set is??
Anjali2002
324
views
Anjali2002
asked
Sep 18, 2018
Set Theory & Algebra
ace-booklet
set-theory&algebra
engineering-mathematics
set-theory
+
–
1
votes
0
answers
2702
Variation on Birthday Problem
So, I have read the birthday paradox problem, and now I came across below question: Assuming the following: there are no leap years, all years have $n = 365$ days and that people's birthdays are uniformly distributed across the $n$ days of the year. (i) How many ... $n=23$, this works out to be 0.53 and Yes it seems to me I am done. Please correct me If I am wrong.
So, I have read the birthday paradox problem, and now I came across below question: Assuming the following: there are no leap years, all years have $n = 365$ days and tha...
Ayush Upadhyaya
721
views
Ayush Upadhyaya
asked
Nov 12, 2019
Probability
probability
+
–
0
votes
1
answer
2703
website
There is 4 coins 1 paisa, 5 paise, 10 paise, 25 paise using these coins we have to make 50 paisa how many combination can we make ?
There is 4 coins 1 paisa, 5 paise, 10 paise, 25 paise using these coins we have to make 50 paisa how many combination can we make ?
Cristine
309
views
Cristine
asked
Mar 31, 2019
Combinatory
combinatory
+
–
0
votes
1
answer
2704
ISI2019-MMA-2
The number of $6$ digit positive integers whose sum of the digits is at least $52$ is $21$ $22$ $27$ $28$
The number of $6$ digit positive integers whose sum of the digits is at least $52$ is$21$$22$$27$$28$
Sayan Bose
3.4k
views
Sayan Bose
asked
May 5, 2019
Combinatory
isi2019-mma
engineering-mathematics
discrete-mathematics
combinatory
+
–
1
votes
1
answer
2705
ISI2014-DCG-64
The value of $\lambda$ such that the system of equation $\begin{array}{} 2x & – & y & + & 2z & = & 2 \\ x & – & 2y & + & z & = & -4 \\ x & + & y & + & \lambda z & = & 4 \end{array}$ has no solution is $3$ $1$ $0$ $-3$
The value of $\lambda$ such that the system of equation$$\begin{array}{} 2x & – & y & + & 2z & = & 2 \\ x & – & 2y & + & z & = & -4 \\ x & + & y & + & \lambda z & = &...
Arjun
638
views
Arjun
asked
Sep 23, 2019
Linear Algebra
isi2014-dcg
linear-algebra
matrix
system-of-equations
+
–
2
votes
1
answer
2706
ISI2015-MMA-53
The number of cars $(X)$ arriving at a service station per day follows a Poisson distribution with mean $4$. The service station can provide service to a maximum of $4$ cars per day. Then the expected number of cars that do not get service per day equals $4$ $0$ $\Sigma_{i=0}^{\infty} i P(X=i+4)$ $\Sigma_{i=4}^{\infty} i P(X=i-4)$
The number of cars $(X)$ arriving at a service station per day follows a Poisson distribution with mean $4$. The service station can provide service to a maximum of $4$ c...
Arjun
1.2k
views
Arjun
asked
Sep 23, 2019
Probability
isi2015-mma
poisson-distribution
expectation
+
–
0
votes
1
answer
2707
no of simple graph possible with 6 vertices and 4 edges is ?
adarsh shivhare
2.6k
views
adarsh shivhare
asked
Dec 30, 2017
6
votes
1
answer
2708
TIFR CSE 2019 | Part B | Question: 12
Let $G=(V,E)$ be a directed graph with $n(\geq 2)$ vertices, including a special vertex $r$. Each edge $e \in E$ has a strictly positive edge weight $w(e)$. An arborescence in $G$ rooted at $r$ is a subgraph $H$ of $G$ ... is acyclic $w^*$ is less than the weight of the minimum weight directed Hamiltonian cycle in $G$, when $G$ has a directed Hamiltonian cycle
Let $G=(V,E)$ be a directed graph with $n(\geq 2)$ vertices, including a special vertex $r$. Each edge $e \in E$ has a strictly positive edge weight $w(e)$. An arborescen...
Arjun
2.4k
views
Arjun
asked
Dec 18, 2018
Graph Theory
tifr2019
graph-connectivity
graph-theory
difficult
+
–
1
votes
1
answer
2709
Made Easy Test Series 2019: Combinatory - Permutations And Combinations
in how many ways 6 letters can be placed in 6 envelopes such that at least 4 letters go into their corresponding envelopes ?
in how many ways 6 letters can be placed in 6 envelopes such that at least 4 letters go into their corresponding envelopes ?
ronin_codex
990
views
ronin_codex
asked
Jan 19, 2019
Combinatory
discrete-mathematics
combinatory
made-easy-test-series
+
–
1
votes
1
answer
2710
What is meaning by trivial and non trivial solution ?Is it like singular and non singular?
hem chandra joshi
9.3k
views
hem chandra joshi
asked
Nov 9, 2017
Mathematical Logic
linear-algebra
+
–
3
votes
4
answers
2711
ISI2014-DCG-4
$\underset{n \to \infty}{\lim} \dfrac{1}{n} \bigg( \dfrac{n}{n+1} + \dfrac{n}{n+2} + \cdots + \dfrac{n}{2n} \bigg)$ is equal to $\infty$ $0$ $\log_e 2$ $1$
$\underset{n \to \infty}{\lim} \dfrac{1}{n} \bigg( \dfrac{n}{n+1} + \dfrac{n}{n+2} + \cdots + \dfrac{n}{2n} \bigg)$ is equal to$\infty$$0$$\log_e 2$$1$
Arjun
1.2k
views
Arjun
asked
Sep 23, 2019
Calculus
isi2014-dcg
calculus
limits
+
–
14
votes
2
answers
2712
GATE CSE 1988 | Question: 2xviii
Show that if $G$ is a group such that $(a. b)^2 = a^2.b^2$ for all $a, b$ belonging to $G$, then $G$ is an abelian.
Show that if $G$ is a group such that $(a. b)^2 = a^2.b^2$ for all $a, b$ belonging to $G$, then $G$ is an abelian.
go_editor
1.7k
views
go_editor
asked
Dec 19, 2016
Set Theory & Algebra
gate1988
descriptive
group-theory
+
–
0
votes
1
answer
2713
UGC NET CSE | December 2018 | Part 2 | Question: 100
A full joint distribution for the Toothache, Cavity and Catch is given in the table below. Toothache $\neg$ Toothache Catch $\neg$ Catch Catch $\neg$ Catch Cavity $0.108$ $0.012$ $0.072$ $0.008$ $\neg$ Cavity $0.016$ $0.064$ $0.144$ $0.576$ What is ... $\langle 0.4, 0.8\rangle$ $\langle 0.6, 0.8\rangle$ $\langle 0.6, 0.4\rangle$
A full joint distribution for the Toothache, Cavity and Catch is given in the table below. Toothache$\neg$ ToothacheCatch$\neg$ CatchCatch$\neg$ CatchCavity$0.108$$0.012$...
Arjun
2.5k
views
Arjun
asked
Jan 2, 2019
Probability
ugcnetcse-dec2018-paper2
joint-distribution
probability
non-gate
+
–
2
votes
1
answer
2714
TIFR CSE 2019 | Part A | Question: 6
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ is said to be $\textit{convex}$ if for all $x,y \in \mathbb{R}$ and $\lambda$ such that $0 \leq \lambda \leq1,$ $f(\lambda x+ (1-\lambda)y) \leq \lambda f (x) + (1-\lambda) f(y)$. Let $f:$\ ... . Which of the functions $p,q$ and $r$ must be convex? Only $p$ Only $q$ Only $r$ Only $p$ and $r$ Only $q$ and $r$
A function $f: \mathbb{R} \rightarrow \mathbb{R}$ is said to be $\textit{convex}$ if for all $x,y \in \mathbb{R}$ and $\lambda$ such that $0 \leq \lambda \leq1,$ $f(...
Arjun
1.0k
views
Arjun
asked
Dec 18, 2018
Set Theory & Algebra
tifr2019
set-theory&algebra
functions
convex-sets-functions
non-gate
+
–
1
votes
0
answers
2715
How to solve this question
If seven colors are used to paint 50 bicycles then which of the following statements need not be true? at least eight bicycles are of the same color at least seven bicycles are of the same color at least nine bicycles are of the same color at most eight bicycles are of the same color
If seven colors are used to paint 50 bicycles then which of the following statements need not be true?at least eight bicycles are of the same colorat least seven bicycles...
`JEET
4.5k
views
`JEET
asked
Jan 16, 2019
Combinatory
pigeonhole-principle
+
–
1
votes
2
answers
2716
ISI2018-DCG-7
You are given three sets $A,B,C$ in such a way that the set $B \cap C$ consists of $8$ elements, the set $A\cap B$ consists of $7$ elements, and the set $C\cap A$ consists of $7$ elements. The minimum number of elements in the set $A\cup B\cup C$ is $8$ $14$ $15$ $22$
You are given three sets $A,B,C$ in such a way that the set $B \cap C$ consists of $8$ elements,the set $A\cap B$ consists of $7$ elements, andthe set $C\cap A$ consists ...
gatecse
640
views
gatecse
asked
Sep 18, 2019
Set Theory & Algebra
isi2018-dcg
set-theory
+
–
1
votes
1
answer
2717
Virtual Gate Test Series: Discrete Mathematics - Graph Theory
Let $G$ be a graph on $n$ vertices with $4n-16$ edges.Consider the following: 1. There is a vertex of degree smaller than $8$ in $G.$ 2. There is a vertex such that there are less than $16$ vertices at a distance exactly $2$ from it. Which of the following is TRUE: 1 only 2 only Both 1 and 2 Neither 1 nor 2
Let $G$ be a graph on $n$ vertices with $4n-16$ edges.Consider the following:1. There is a vertex of degree smaller than $8$ in $G.$2. There is a vertex such that there a...
pps121
629
views
pps121
asked
Jan 8, 2019
Graph Theory
discrete-mathematics
graph-theory
virtual-gate-test-series
+
–
1
votes
1
answer
2718
reflexive relation
Sanjay Sharma
889
views
Sanjay Sharma
asked
Dec 9, 2016
1
votes
2
answers
2719
GATE-2007 EE
Let $x$ and $y$ be two vectors in a $3$ dimensional space and $<x,y>$ denote their dot product. Then the determinant $det\begin{bmatrix}<x,x> & <x,y>\\ <y,x> & <y,y>\end{bmatrix}$ is zero when $x$ and $y$ are linearly ... $x$ and $y$ are linearly independent is non-zero for all non-zero $x$ and $y$ is zero only when either $x$ or $y$ is zero
Let $x$ and $y$ be two vectors in a $3$ dimensional space and $<x,y>$ denote their dot product. Then the determinant$det\begin{bmatrix}<x,x & <x,y>\\ <y,x & <y,y>\end{bma...
Aishwarya Gujrathi
2.6k
views
Aishwarya Gujrathi
asked
Mar 12, 2018
Linear Algebra
engineering-mathematics
linear-algebra
+
–
23
votes
4
answers
2720
GATE IT 2007 | Question: 76
Consider the sequence $\langle x_n \rangle , \: n \geq 0$ defined by the recurrence relation $x_{n+1} = c . x^2_n -2$, where $c > 0$. Suppose there exists a non-empty, open interval $(a, b)$ such that for all $x_0$ satisfying $a < x_0 < b$, the ... sequence converges to the value? $\frac{1+\sqrt{1+8c}}{2c}$ $\frac{1-\sqrt{1+8c}}{2c}$ $2$ $\frac{2}{2c-1}$
Consider the sequence $\langle x_n \rangle , \: n \geq 0$ defined by the recurrence relation $x_{n+1} = c . x^2_n -2$, where $c 0$.Suppose there exists a non-empty, open...
Ishrat Jahan
5.4k
views
Ishrat Jahan
asked
Oct 30, 2014
Combinatory
gateit-2007
combinatory
normal
recurrence-relation
+
–
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