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Recent questions tagged engineeringmathematics
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1
ISI2017PCBB1(b)
Show that if the edge set of the graph $G(V,E)$ with $n$ nodes can be partitioned into $2$ trees, then there is at least one vertex of degree less than $4$ in $G$.
asked
Apr 8
in
Graph Theory
by
akash.dinkar12
Boss
(
39.2k
points)

19
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isi2017pcbb
engineeringmathematics
discretemathematics
graphtheory
descriptive
0
votes
2
answers
2
Probability  Independent Events
What is the probability that, in six throws of a die, there will be exactly one each of “1”, “2”, “3”, “4”, “5” and “6”? $0.00187220$ $0.01432110$ $0.01176210$ $0.01543210$
asked
Mar 8
in
Probability
by
zeeshanmohnavi
Junior
(
857
points)

58
views
probability
engineeringmathematics
+1
vote
1
answer
3
Ace Test Series: Set Theory & Algebra  Relations
Let $A=\left \{ 1,2,3 \right \}$. Number of relation on $A$ which are neither reflexive, nor irreflexive but symmetric is ___________ Ans given 48 but I got 8 Please verify
asked
Mar 7
in
Set Theory & Algebra
by
srestha
Veteran
(
111k
points)

135
views
acetestseries
engineeringmathematics
discretemathematics
settheory&algebra
relations
0
votes
1
answer
4
ISIMMA201592
Consider the group $G \;=\; \begin{Bmatrix} \begin{pmatrix} a & b \\ 0 & a^{1} \end{pmatrix}\;: a,b \in \mathbb{R},a>0 \end{Bmatrix}$ ... order (D) $N$ is a normal subgroup and the quotient group is isomorphic to $\mathbb{R}^{+}$(the group of positive reals with multiplication).
asked
Mar 6
in
Set Theory & Algebra
by
ankitgupta.1729
Boss
(
10.7k
points)

92
views
groups
groupisomorphism
engineeringmathematics
userisi2015
usermod
0
votes
0
answers
5
ISIMMA201544
Let $P_{1},P_{2},$ and $P_{3}$ denote, respectively, the planes defined by $a_{1}x + b_{1}y + c_{1}z = \alpha _{1}$ $a_{2}x + b_{2}y + c_{2}z = \alpha _{2}$ $a_{3}x + b_{3}y + c_{3}z = \alpha _{3}$ It is given ... then the planes (A) do not have any common point of intersection (B) intersect at a unique point (C) intersect along a straight line (D) intersect along a plane
asked
Feb 22
in
Linear Algebra
by
ankitgupta.1729
Boss
(
10.7k
points)

59
views
engineeringmathematics
linearalgebra
userisi2015
usermod
0
votes
1
answer
6
ISI MMA2015
Let, $a_{n} \;=\; \left ( 1\frac{1}{\sqrt{2}} \right ) ... \left ( 1 \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$ (A) equals $1$ (B) does not exist (C) equals $\frac{1}{\sqrt{\pi }}$ (D) equals $0$
asked
Feb 21
in
Calculus
by
ankitgupta.1729
Boss
(
10.7k
points)

99
views
engineeringmathematics
calculus
userisi2015
usermod
sequenceseries
limits
+1
vote
1
answer
7
ISI MMA2015
If two real polynomials $f(x)$ and $g(x)$ of degrees $m\;(\geq2)$ and $n\;(\geq1)$ respectively, satisfy $f(x^{2}+1) = f(x)g(x)$ $,$ for every $x\in \mathbb{R}$ , then (A) $f$ has exactly one real root $x_{0}$ such that $f'(x_{0}) \neq 0$ (B) $f$ has exactly one real root $x_{0}$ such that $f'(x_{0}) = 0$ (C) $f$ has $m$ distinct real roots (D) $f$ has no real root.
asked
Feb 20
in
Calculus
by
ankitgupta.1729
Boss
(
10.7k
points)

67
views
engineeringmathematics
calculus
userisi2015
usermod
0
votes
0
answers
8
Discrete random variable
asked
Feb 20
in
Probability
by
Na462
Loyal
(
8.7k
points)

78
views
probability
randomvariable
engineeringmathematics
0
votes
0
answers
9
Probability mass function
Suppose that the cdf of X is given by: F(a) ={ 0 for a < 0 1/5 for 0 ≤ a < 2 2/5 for 2 ≤ a < 4 1 for a ≥ 4. } Determine the pmf of X.
asked
Feb 19
in
Probability
by
Na462
Loyal
(
8.7k
points)

26
views
engineeringmathematics
randomvariable
+1
vote
0
answers
10
Probability density function
Let R be the rate at which customers are served in a queue. Suppose that R is exponential with pdf f(r) = 2e^(−2r) on [0, ∞). Find the pdf of the waiting time per customer T = 1/R.
asked
Feb 19
in
Probability
by
Na462
Loyal
(
8.7k
points)

21
views
engineeringmathematics
probability
+1
vote
0
answers
11
JEST Sample Question6
Two gamblers have an argument. The first one claims that if a fair coin is tossed repeatedly, getting two consecutive heads is very unlikely. The second, naturally, is denying this. They decide to settle this by an actual trial; if, within n coin tosses, ... demonstrated. What happens for larger values of n? Is it true that P (n) only increases with n? Justify your answer.
asked
Feb 15
in
Probability
by
sripo
Active
(
2.6k
points)

25
views
jest
engineeringmathematics
probability
+2
votes
2
answers
12
GATE20195
Let $U = \{1, 2, \dots , n\}$ Let $A=\{(x, X) \mid x \in X, X \subseteq U \}$. Consider the following two statements on $\mid A \mid$. $\mid A \mid = n2^{n1}$ $\mid A \mid = \Sigma_{k=1}^n k \begin{pmatrix} n \\ k \end{pmatrix}$ Which of the above statements is/are TRUE? Only I Only II Both I and II Neither I nor II
asked
Feb 7
in
Combinatory
by
Arjun
Veteran
(
396k
points)

2.2k
views
gate2019
engineeringmathematics
discretemathematics
permutationsandcombinations
+3
votes
4
answers
13
GATE20199
Let $X$ be a square matrix. Consider the following two statements on $X$. $X$ is invertible Determinant of $X$ is nonzero 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
asked
Feb 7
in
Linear Algebra
by
Arjun
Veteran
(
396k
points)

1.6k
views
gate2019
engineeringmathematics
linearalgebra
determinant
+4
votes
4
answers
14
GATE201910
Let $G$ be an arbitrary group. Consider the following relations on $G$: $R_1: \forall a , b \in G, \: a R_1 b \text{ if and only if } \exists g \in G \text{ such that } a = g^{1}bg$ $R_2: \forall a , b \in G, \: a R_2 b \text{ if and only if } a= b^{1}$ Which of the above is/are equivalence relation/relations? $R_1$ and $R_2$ $R_1$ only $R_2$ only Neither $R_1$ nor $R_2$
asked
Feb 7
in
Set Theory & Algebra
by
Arjun
Veteran
(
396k
points)

2.1k
views
gate2019
engineeringmathematics
discretemathematics
settheory&algebra
groups
0
votes
6
answers
15
GATE201912
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 $n!$ $(n1)!$ $1$ $\frac{(n1)!}{2}$
asked
Feb 7
in
Graph Theory
by
Arjun
Veteran
(
396k
points)

2.6k
views
gate2019
engineeringmathematics
discretemathematics
graphtheory
graphconnectivity
+1
vote
5
answers
16
GATE201913
Compute $\lim_{x \rightarrow 3} \frac{x^481}{2x^25x3}$ $1$ $53/12$ $108/7$ Limit does not exist
asked
Feb 7
in
Calculus
by
Arjun
Veteran
(
396k
points)

1.5k
views
gate2019
engineeringmathematics
calculus
limits
+3
votes
5
answers
17
GATE201935
Consider the first order predicate formula $\phi$: $\forall x [ ( \forall z \: z \mid x \Rightarrow (( z=x) \vee (z=1))) \rightarrow \exists w ( w > x) \wedge (\forall z \: z \mid w \Rightarrow ((w=z) \vee (z=1)))]$ Here $a \mid b$ denotes ... $S3:$ Set of all integers Which of the above sets satisfy $\phi$? S1 and S2 S1 and S3 S2 and S3 S1, S2 and S3
asked
Feb 7
in
Mathematical Logic
by
Arjun
Veteran
(
396k
points)

3k
views
gate2019
engineeringmathematics
discretemathematics
mathematicallogic
+1
vote
1
answer
18
GATE201938
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 minimumweight edge crossing the cut. Which of the following statements is/are TRUE? I only II only Both I and II Neither I nor II
asked
Feb 7
in
Graph Theory
by
Arjun
Veteran
(
396k
points)

2.2k
views
gate2019
engineeringmathematics
discretemathematics
graphtheory
graphconnectivity
+3
votes
3
answers
19
GATE201944
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 _______
asked
Feb 7
in
Linear Algebra
by
Arjun
Veteran
(
396k
points)

2.1k
views
gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
+4
votes
3
answers
20
GATE201947
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) _______
asked
Feb 7
in
Probability
by
Arjun
Veteran
(
396k
points)

2.3k
views
gate2019
numericalanswers
engineeringmathematics
probability
uniformdistribution
0
votes
0
answers
21
ME FLT5
Consider the following POSETs: Which of the above POSETs are isomorphic to (P (S), ⊆), where S = {a, b, c}?
asked
Jan 30
in
Set Theory & Algebra
by
balchandar reddy san
Active
(
2.9k
points)

71
views
engineeringmathematics
0
votes
0
answers
22
#math
asked
Jan 30
in
Linear Algebra
by
amit166
Junior
(
761
points)

21
views
engineeringmathematics
0
votes
0
answers
23
Permutation
The number of ways can 5 letter be put into 3 letter boxes A, B, C if letter box A must contain atleast 2 letters ________. Please tell what are the extra cases in this: Choose 2 letters and put in box A – $^5C_2$ Now remaining 3 letters have $3^3$ choices So, $^5C_2 \times 3^3 = 270$
asked
Jan 27
in
Numerical Ability
by
shreyansh jain
Active
(
2.2k
points)

139
views
permutationsandcombinations
engineeringmathematics
discretemathematics
0
votes
0
answers
24
GeeksforGeeks
Suppose that the running time for each process in milliseconds is an exponential random variable with parameter λ=1/20. If process P1 arrives immediately ahead of the process P2 in the running state, then the probability that process P2 will have to wait more than 20 milliseconds is ... . A 0.274 B 0.324 C 0.428 D 0.368 How to approach this. even not able to understand the question.
asked
Jan 27
in
Operating System
by
Ashish Goyal
(
423
points)

33
views
engineeringmathematics
randomvariable
probability
0
votes
0
answers
25
Counting
asked
Jan 25
in
Graph Theory
by
screddy1313
(
477
points)

34
views
discretemathematics
graphtheory
engineeringmathematics
chromaticnumbers
#counting
0
votes
1
answer
26
MadeEasy Test Series : Probability  Probability
A dice is tossed thrice. A success is getting ‘1 or 6' on a toss. Find the variance of number of successes _. Answer 0.66
asked
Jan 24
in
Probability
by
Ram Swaroop
Active
(
2.6k
points)

115
views
engineeringmathematics
probability
madeeasytestseries
+1
vote
1
answer
27
Nullity of matrix
Nullity of a matrix = Total number columns – Rank of that matrix By how to calculate value of x when nullity is already given(1 in this case)
asked
Jan 24
in
Linear Algebra
by
Nandkishor3939
Active
(
1.2k
points)

101
views
engineeringmathematics
linearalgebra
matrices
rankofmatrix
matrix
0
votes
3
answers
28
propositional logic
which of the following is tautology? (¬P^(P>q))>¬q ¬(p>q)>¬q [(¬p^q)^[q>(p>q)]]>¬r Both (B) and(C) please explain in detail how to check for especially for condition (C) Because “r” is only in RHS but not in LHS of this implication.
asked
Jan 22
in
Mathematical Logic
by
learner_geek
Active
(
3.8k
points)

88
views
propositionallogic
discretemathematics
mathematicallogic
firstorderlogic
engineeringmathematics
0
votes
0
answers
29
probability
Probability density function of a random variable X is distributed uniformly between 0 and 10 The probability that X lies between 2.5 to 7.5 and the mean square value of X are respectively. please give step by step answer in a detailed manner.
asked
Jan 21
in
Probability
by
learner_geek
Active
(
3.8k
points)

62
views
probability
engineeringmathematics
randomvariable
conditionalprobability
0
votes
2
answers
30
probability
In a lottery, 10 tickets are drawn at random out of 50 tickets numbered from 1 to 50. What is the expected value of the sum of numbers on the drawn tickets?
asked
Jan 20
in
Mathematical Logic
by
learner_geek
Active
(
3.8k
points)

188
views
probability
engineeringmathematics
conditionalprobability
randomvariable
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