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Search results for engineering-mathematics
32
votes
14
answers
1
GATE CSE 2019 | Question: 12
Let $G$ be an undirected complete graph on $n$ vertices, where $n > 2$. Then, the number of different Hamiltonian cycles in $G$ is equal to $n!$ $(n-1)!$ $1$ $\frac{(n-1)!}{2}$
Let $G$ be an undirected complete graph on $n$ vertices, where $n 2$. Then, the number of different Hamiltonian cycles in $G$ is equal to$n!$$(n-1)!$$1$$\frac{(n-1)!}{2}...
Arjun
21.0k
views
Arjun
asked
Feb 7, 2019
Graph Theory
gatecse-2019
engineering-mathematics
discrete-mathematics
graph-theory
graph-connectivity
1-mark
+
–
33
votes
4
answers
2
GATE CSE 2019 | Question: 47
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal...
Arjun
16.1k
views
Arjun
asked
Feb 7, 2019
Probability
gatecse-2019
numerical-answers
engineering-mathematics
probability
uniform-distribution
2-marks
+
–
46
votes
8
answers
3
GATE CSE 2017 Set 2 | Question: 52
If the characteristic polynomial of a $3 \times 3$ matrix $M$ over $\mathbb{R}$ (the set of real numbers) is $\lambda^3 – 4 \lambda^2 + a \lambda +30, \quad a \in \mathbb{R}$, and one eigenvalue of $M$ is $2,$ then the largest among the absolute values of the eigenvalues of $M$ is _______
If the characteristic polynomial of a $3 \times 3$ matrix $M$ over $\mathbb{R}$ (the set of real numbers) is $\lambda^3 – 4 \lambda^2 + a \lambda +30, \quad a \in \ma...
Madhav
15.4k
views
Madhav
asked
Feb 14, 2017
Linear Algebra
gatecse-2017-set2
engineering-mathematics
linear-algebra
numerical-answers
eigen-value
+
–
40
votes
6
answers
4
GATE CSE 2019 | Question: 38
Let $G$ be any connected, weighted, undirected graph. $G$ has a unique minimum spanning tree, if no two edges of $G$ have the same weight. $G$ has a unique minimum spanning tree, if, for every cut of $G$, there is a unique minimum-weight edge crossing the cut. Which of the following statements is/are TRUE? I only II only Both I and II Neither I nor II
Let $G$ be any connected, weighted, undirected graph.$G$ has a unique minimum spanning tree, if no two edges of $G$ have the same weight.$G$ has a unique minimum spanning...
Arjun
20.3k
views
Arjun
asked
Feb 7, 2019
Graph Theory
gatecse-2019
engineering-mathematics
discrete-mathematics
graph-theory
graph-connectivity
2-marks
+
–
66
votes
10
answers
5
GATE CSE 2019 | Question: 35
Consider the first order predicate formula $\varphi$: $\forall x [ ( \forall z \: z | x \Rightarrow (( z=x) \vee (z=1))) \rightarrow \exists w ( w > x) \wedge (\forall z \: z | w \Rightarrow ((w=z) \vee (z=1)))]$ Here $a \mid b$ denotes ... of all integers Which of the above sets satisfy $\varphi$? $S_1$ and $S_2$ $S_1$ and $S_3$ $S_2$ and $S_3$ $S_1, S_2$ and $S_3$
Consider the first order predicate formula $\varphi$:$\forall x [ ( \forall z \: z | x \Rightarrow (( z=x) \vee (z=1))) \rightarrow \exists w ( w x) \wedge (\forall z \:...
Arjun
19.9k
views
Arjun
asked
Feb 7, 2019
Mathematical Logic
gatecse-2019
engineering-mathematics
discrete-mathematics
mathematical-logic
first-order-logic
2-marks
+
–
25
votes
7
answers
6
GATE CSE 2019 | Question: 9
Let $X$ be a square matrix. Consider the following two statements on $X$. $X$ is invertible Determinant of $X$ is non-zero Which one of the following is TRUE? I implies II; II does not imply I II implies I; I does not imply II I does not imply II; II does not imply I I and II are equivalent statements
Let $X$ be a square matrix. Consider the following two statements on $X$.$X$ is invertibleDeterminant of $X$ is non-zeroWhich one of the following is TRUE?I implies II; I...
Arjun
10.4k
views
Arjun
asked
Feb 7, 2019
Linear Algebra
gatecse-2019
engineering-mathematics
linear-algebra
determinant
1-mark
+
–
37
votes
9
answers
7
GATE CSE 2019 | Question: 10
Let $G$ be an arbitrary group. Consider the following relations on $G$: $R_1: \forall a , b \in G, \: a R_1 b \text{ if and only if } \exists g \in G \text{ such that } a = g^{-1}bg$ ... $R_1$ and $R_2$ $R_1$ only $R_2$ only Neither $R_1$ nor $R_2$
Let $G$ be an arbitrary group. Consider the following relations on $G$:$R_1: \forall a , b \in G, \: a R_1 b \text{ if and only if } \exists g \in G \text{ such that } a ...
Arjun
17.2k
views
Arjun
asked
Feb 7, 2019
Set Theory & Algebra
gatecse-2019
engineering-mathematics
discrete-mathematics
set-theory&algebra
group-theory
1-mark
+
–
26
votes
4
answers
8
GATE CSE 2019 | Question: 44
Consider the following matrix: $R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$ The absolute value of the product of Eigen values of $R$ is _______
Consider the following matrix:$R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$The absolute value of the product ...
Arjun
19.3k
views
Arjun
asked
Feb 7, 2019
Linear Algebra
gatecse-2019
numerical-answers
engineering-mathematics
linear-algebra
eigen-value
2-marks
+
–
14
votes
7
answers
9
GATE CSE 2019 | Question: 13
Compute $\displaystyle \lim_{x \rightarrow 3} \frac{x^4-81}{2x^2-5x-3}$ $1$ $53/12$ $108/7$ Limit does not exist
Compute $\displaystyle \lim_{x \rightarrow 3} \frac{x^4-81}{2x^2-5x-3}$$1$$53/12$$108/7$Limit does not exist
Arjun
6.3k
views
Arjun
asked
Feb 7, 2019
Calculus
gatecse-2019
engineering-mathematics
calculus
limits
1-mark
+
–
1
votes
1
answer
10
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:\[\lim _{x \rightarrow 0} \frac{\ln \left(\left(x^{2}+1\right) \cos x\right)}{x^{2}}= \]
Arjun
762
views
Arjun
asked
Feb 16
Calculus
gate-ds-ai-2024
numerical-answers
limits
engineering-mathematics
+
–
2
votes
1
answer
11
GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 7
A fair coin is flipped twice and it is known that at least one tail is observed. The probability of getting two tails is $\frac{1}{2}$ $\frac{1}{3}$ $\frac{2}{3}$ $\frac{1}{4}$
A fair coin is flipped twice and it is known that at least one tail is observed. The probability of getting two tails is $\frac{1}{2}$ $\frac{1}{3}$ $\frac{2}{3}$ $\frac{...
admin
2.5k
views
admin
asked
Oct 21, 2023
Probability
gateda-sample-paper-2024
engineering-mathematics
probability
+
–
1
votes
1
answer
12
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?
a) ~p\/q b) ~q=>~pc) ~p=>~q d) ~(p/\~q)can someone provide the solution?
swapnil sahu
155
views
swapnil sahu
asked
Feb 20
Mathematical Logic
engineering-mathematics
propositional-logic
+
–
0
votes
1
answer
13
Permutation and combination
Çșȇ ʛấẗẻ
121
views
Çșȇ ʛấẗẻ
asked
Feb 15
Mathematical Logic
combinatory
engineering-mathematics
discrete-mathematics
+
–
0
votes
4
answers
14
Computer Science - UGC NET 2021 [ Question ID = 2353 ]
How many ways are there to assign 5 different jobs to 4 different employees if every employee is assigned at least 1 job ? 1024 625 240 20
How many ways are there to assign 5 different jobs to 4 different employees if every employee is assigned at least 1 job ?1024 625 240 20
rajeshposts
679
views
rajeshposts
asked
Sep 17, 2023
Combinatory
discrete-mathematics
permutation-combination
engineering-mathematics
+
–
0
votes
4
answers
15
Made Easy Probability - Let X be a set containing n elements. Three subsets A,B, C of X are chosen at random. The probability that A, B, C are pairwise disjoint is? (What do they mean by pairwise disjoint? and how should I approach this question?)
tishhaagrawal
979
views
tishhaagrawal
asked
Dec 4, 2023
Probability
probability
combinatory
counting
made-easy-test-series
gate-preparation
test-series
engineering-mathematics
self-doubt
bad-question
+
–
0
votes
0
answers
16
madeeasy
plz explain option c
plz explain option c
nihal_chourasiya
88
views
nihal_chourasiya
asked
Feb 1
Mathematical Logic
engineering-mathematics
maxima-minima
+
–
0
votes
0
answers
17
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
1
answer
18
#self doubt
I found this statement in math blog.....can anyone please help on this… For a upper triangular Matrix I tried to derive with Eigen values as 1,2,0,0,0 for 5*5 but I am not getting rank as 2 for this Matrix.
I found this statement in math blog.....can anyone please help on this…For a upper triangular Matrix I tried to derive with Eigen values as 1,2,0,0,0 for 5*5 but I am n...
Dknights
98
views
Dknights
asked
Jan 7
Linear Algebra
engineering-mathematics
linear-algebra
+
–
0
votes
0
answers
19
Made Easy Mock Test 2
Rohit Chakraborty
221
views
Rohit Chakraborty
asked
Jan 11
Mathematical Logic
graph-theory
made-easy-test-series
engineering-mathematics
+
–
0
votes
1
answer
20
#self doubt
How many skew symmetric matrices are possible with a number set = [-2,-1,1,2,3,4,0] 0 can be used at most 3 times other numbers are allowed for repetition.
How many skew symmetric matrices are possible with a number set = [-2,-1,1,2,3,4,0] 0 can be used at most 3 times other numbers are allowed for repetition.
Dknights
111
views
Dknights
asked
Dec 22, 2023
Linear Algebra
engineering-mathematics
+
–
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