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GATE201935 Video Solution
Consider the first order predicate formula $\varphi$: $\forall x [ ( \forall z \: z \mid x \Rightarrow (( z=x) \vee (z=1))) \rightarrow \exists w ( w > x) \wedge (\forall z \: z \mid w \Rightarrow ((w=z) \vee (z=1)))]$ ... of all positive integers $S3:$ Set of all integers Which of the above sets satisfy $\varphi$? S1 and S2 S1 and S3 S2 and S3 S1, S2 and S3
asked
Apr 19
in
Mathematical Logic
by
admin
(
3.6k
points)

2
views
gate2019
engineeringmathematics
discretemathematics
mathematicallogic
firstorderlogic
videosolution
0
votes
0
answers
GATE201912 Video Solution
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
Apr 19
in
Graph Theory
by
admin
(
3.6k
points)

1
view
gate2019
engineeringmathematics
discretemathematics
graphtheory
graphconnectivity
videosolution
0
votes
0
answers
GATE201947 Video Solution
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
Apr 19
in
Probability
by
admin
(
3.6k
points)

4
views
gate2019
numericalanswers
engineeringmathematics
probability
uniformdistribution
videosolution
0
votes
0
answers
GATE201938 Video Solution
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
Apr 19
in
Graph Theory
by
admin
(
3.6k
points)

2
views
gate2019
engineeringmathematics
discretemathematics
graphtheory
graphconnectivity
videosolution
0
votes
0
answers
GATE201944 Video Solution
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
Apr 19
in
Linear Algebra
by
admin
(
3.6k
points)

1
view
gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
videosolution
0
votes
0
answers
GATE2017252 Video Solution
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 _______
asked
Apr 19
in
Linear Algebra
by
admin
(
3.6k
points)

1
view
gate20172
engineeringmathematics
linearalgebra
numericalanswers
eigenvalue
videosolution
0
votes
0
answers
GATE201910 Video Solution
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 $R_2$
asked
Apr 19
in
Set Theory & Algebra
by
admin
(
3.6k
points)

2
views
gate2019
engineeringmathematics
discretemathematics
settheory&algebra
grouptheory
videosolution
0
votes
0
answers
GATE20195 Video Solution
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
Apr 19
in
Combinatory
by
admin
(
3.6k
points)

1
view
gate2019
engineeringmathematics
discretemathematics
permutationandcombination
videosolution
0
votes
0
answers
GATE2017210 Video Solution
If $f(x) = R \: \sin ( \frac{\pi x}{2}) + S, f’\left(\frac{1}{2}\right) = \sqrt{2}$ and $\int_0^1 f(x) dx = \frac{2R}{\pi}$, then the constants $R$ and $S$ are $\frac{2}{\pi}$ and $\frac{16}{\pi}$ $\frac{2}{\pi}$ and 0 $\frac{4}{\pi}$ and 0 $\frac{4}{\pi}$ and $\frac{16}{\pi}$
asked
Apr 19
in
Calculus
by
admin
(
3.6k
points)

2
views
gate20172
engineeringmathematics
calculus
differentiation
videosolution
0
votes
0
answers
GATE20199 Video Solution
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
Apr 19
in
Linear Algebra
by
admin
(
3.6k
points)

2
views
gate2019
engineeringmathematics
linearalgebra
determinant
videosolution
0
votes
0
answers
GATE201913 Video Solution
Compute $\displaystyle \lim_{x \rightarrow 3} \frac{x^481}{2x^25x3}$ $1$ $53/12$ $108/7$ Limit does not exist
asked
Apr 19
in
Calculus
by
admin
(
3.6k
points)

1
view
gate2019
engineeringmathematics
calculus
limits
videosolution
0
votes
0
answers
GATE2020CS39 Video Solution
Which one of the following predicate formulae is NOT logically valid? Note that $W$ is a predicate formula without any free occurrence of $x$. $\forall x (p(x) \vee W) \equiv \forall x \: ( px) \vee W$ ... $\exists x(p(x) \rightarrow W) \equiv \forall x \: p(x) \rightarrow W$
asked
Apr 19
in
Mathematical Logic
by
admin
(
3.6k
points)

18
views
gate2020cs
engineeringmathematics
videosolution
0
votes
0
answers
GATE2020CS1 Video Solution
Consider the functions $e^{x}$ $x^{2}\sin x$ $\sqrt{x^{3}+1}$ Which of the above functions is/are increasing everywhere in $[ 0,1]$? Ⅲ only Ⅱ only Ⅱ and Ⅲ only Ⅰ and Ⅲ only
asked
Apr 19
in
Mathematical Logic
by
admin
(
3.6k
points)

4
views
gate2020cs
engineeringmathematics
videosolution
0
votes
0
answers
GATE2020CS42 Video Solution
The number of permutations of the characters in LILAC so that no character appears in its original position, if the two L’s are indistinguishable, is ______.
asked
Apr 19
in
Combinatory
by
admin
(
3.6k
points)

4
views
gate2020cs
numericalanswers
engineeringmathematics
videosolution
0
votes
0
answers
GATE2010ME Video Solution
The function $y=2  3x$ is continuous $∀ x ∈ R$ and differentiable $∀ x ∈ R$ is continuous $∀ x ∈ R$ and differentiable $∀ x ∈ R$ except at $x=\frac{3}{2}$ is continuous $∀ x ∈ R$ and differentiable $∀ x ∈ R$ except at $x=\frac{2}{3}$ is continuous $∀ x ∈ R$ except $x=3$ and differentiable $∀ x ∈ R$
asked
Apr 19
in
Calculus
by
admin
(
3.6k
points)

1
view
calculus
gate2010me
engineeringmathematics
continuity
videosolution
+1
vote
1
answer
GATE2020CS18 Video Solution
Let $G$ be a group of $35$ elements. Then the largest possible size of a subgroup of $G$ other than $G$ itself is _______.
asked
Apr 19
in
Linear Algebra
by
admin
(
3.6k
points)

17
views
gate2020cs
numericalanswers
engineeringmathematics
grouptheory
videosolution
0
votes
0
answers
GATE2020CS27 Video Solution
Let $A$ and $B$ be two $n \times n$ matrices over real numbers. Let rank($M$) and $\text{det}(M)$ denote the rank and determinant of a matrix $M$, respectively. Consider the following statements. $\text{rank}(AB) = \text{rank }(A) \text{rank }(B)$ ... Which of the above statements are TRUE? I and II only I and IV only II and III only III and IV only
asked
Apr 19
in
Linear Algebra
by
admin
(
3.6k
points)

2
views
gate2020cs
discretemathematics
engineeringmathematics
matrices
videosolution
0
votes
0
answers
Matrices Eigen Values
The value of ‘x’ for which all the eigen values of the matrix given below are real is 10 5+j 4 x 20 2 4 2 10 5+j b. 5j c.15j d.1+5j
asked
Apr 2
in
Mathematical Logic
by
Shivateja MST
(
127
points)

21
views
linearalgebra
engineeringmaths
engineeringmathematics
0
votes
0
answers
Question on vector calculus
Which one of the following descries the relationship among the three vectors, i+j+k ,2i+3j+k ,5i+6j+4k ? The vectors are mutually perpendicular The vectors are linearly dependent The vectors are linearly independent The vectors are unit vectors Anyone please clarify.
asked
Apr 2
in
Mathematical Logic
by
Shivateja MST
(
127
points)

18
views
engineeringmathematics
vectors
0
votes
0
answers
Found on Internet: ACE PREVIOUS YEAR
In the expansion of $(v+w+x+y+z)^{16}$, the coefficient of $wxy^{13}z$ is $?$ How to solve these types of problems?
asked
Jan 29
in
Mathematical Logic
by
Debapaul
(
699
points)

41
views
engineeringmathematics
0
votes
0
answers
ace academy test series mock test
38.
asked
Jan 23
in
Combinatory
by
Rahul Burman
(
21
points)

28
views
aceacademytestseries
engineeringmathematics
0
votes
1
answer
Gate previous year 2016 same concept
If f'(x)=1/5x^2, f(0)=1,then the lower and upper bound of f(1) are ___? A)6/5 , 5/4 B)6/5 , 5/4 C) 6/5 , 5/4 D)6/5 ,5/4
asked
Jan 20
in
Mathematical Logic
by
Rsharma29
(
7
points)

41
views
engineeringmathematics
#calculus
#lmvt
0
votes
0
answers
applied gate :maths
asked
Jan 18
in
Mathematical Logic
by
abhinav649
(
68
points)

34
views
engineeringmathematics
0
votes
0
answers
Ace test series : Sets
asked
Jan 13
in
Set Theory & Algebra
by
Chirag Shilwant
(
181
points)

32
views
settheory
engineeringmathematics
aceacademytestseries
0
votes
0
answers
gate previous year Engineering maths
https://gateoverflow.in/1225/gate200727 could anybody explain properly how to find if the vectors form a basis for subspace? i am having difficulty in this question
asked
Jan 12
in
Mathematical Logic
by
chandrikabhuyan8
(
120
points)

10
views
engineeringmathematics
0
votes
1
answer
Ace full length : Discrete Maths
asked
Jan 10
in
Combinatory
by
Chirag Shilwant
(
181
points)

38
views
aceacademytestseries
engineeringmathematics
permutationandcombination
0
votes
0
answers
ACE Full Length Test
If k=0 is a root of the characteristic equation of u” + au’ +bu =0 then b=_______ Anyone please clarify,what is the concept this question is related to?
asked
Jan 6
in
Calculus
by
Shivateja MST
(
127
points)

14
views
aceacademytestseries
#gatepreparation
engineeringmathematics
0
votes
0
answers
Ace Academy Full length Mock test 3 Q17
asked
Dec 21, 2019
in
Linear Algebra
by
ssap09
(
43
points)

15
views
aceacademytestseries
#gatepreparation
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
MOCK TEST ACE
Let [A;R] is a totally ordered set with n elements (n>2). If [A;R] is a Boolean Algebra then n = ?
asked
Dec 15, 2019
in
Set Theory & Algebra
by
tamaldeepmaity
(
17
points)

22
views
engineeringmathematics
settheory
0
votes
1
answer
Ace Practice questions Linear Algebra
If ‘A’ is a non singular matrix and $(IA+A^{2}.....+(1)^{n}A^{n})=0$ then $A^{1}$ = _______________
asked
Dec 12, 2019
in
Linear Algebra
by
Pratyush Priyam Kuan
(
804
points)

15
views
linearalgebra
engineeringmathematics
0
votes
0
answers
ACE Mock Test Sets
Question: One quarter of 5 element subsets of {1,2,3,4,….n} contain 7, then n = ? My answer: $\frac{C(n1,4)}{C(n,5)} = \frac{1}{4} \Rightarrow n = 20$ Given answer: $\frac{C(n,4)}{C(n,5)} = \frac{1}{4} \Rightarrow n = 24$ I think I am correct because once we consider 7 as an element we can choose only 4 remaining elements, but can you please confirm the same?
asked
Dec 6, 2019
in
Linear Algebra
by
tamaldeepmaity
(
17
points)

10
views
engineeringmathematics
settheory
0
votes
0
answers
gradeup quiz maths
Consider a company, where a team is having seven different tasks. We have to complete these tasks with only four employees. Among these tasks, one task is tougher than other tasks. Similarly, we have one employee that is better than among other employees ... each employee is assigned at least one task and the most difficult task is assigned to the best employee is __________ _?
asked
Nov 30, 2019
in
Calculus
by
Akash Papnai
(
17
points)

23
views
gradeup
engineeringmathematics
+1
vote
1
answer
Gatebook TS: Calculus
$Q:$ How many distinct values of x satisfy the equation $sinx=\dfrac{x}{3}$ where x is in radians.
asked
Nov 15, 2019
in
Calculus
by
Kushagra गुप्ता
(
415
points)

56
views
calculus
engineeringmathematics
functions
testseries
0
votes
0
answers
Engineering Math: Continuity Doubt
Is this function $y=x^{2}$ bounded between $\left [ 1,1 \right ]$? What bounded actually represents?
asked
Nov 12, 2019
in
Mathematical Logic
by
srestha
(
749
points)

10
views
engineeringmaths
engineeringmathematics
0
votes
0
answers
Self Doubt: Eng. Math
what is median of $max\left ( x,y \right )$? Will it be $0$ or $\frac{x+y}{2}$?
asked
Nov 2, 2019
in
Probability
by
srestha
(
749
points)

31
views
descrete
engineeringmathematics
0
votes
0
answers
homogeneous linear equation doubt
I have a doubt it may be simple but I am not able to understand . so, please help In homogeneous linear equation if r is the rank of the matrix. We know that row rank=column rank=rank of the matrix. My doubt is here the number of ... so number of independent variable is r .so how is the number of independent solutions is nr. Please someone clear this doubt .
asked
Nov 1, 2019
in
Linear Algebra
by
Pratyush Priyam Kuan
(
804
points)

23
views
linearalgebra
engineeringmathematics
0
votes
0
answers
Testbook Test series: Linear algebra
Let M be a 3 x 3 matrix such that M$\begin{pmatrix} 2\\ 1\\ 0 \end{pmatrix}$=$\begin{pmatrix} 6\\ 3\\ 0 \end{pmatrix}$ and suppose that $M^{3}$\begin{pmatrix} 1\\ 1/2\\ 0 \end{pmatrix}$=$\begin{pmatrix} \alpha\\ \beta\\ \gamma\\ \end{pmatrix}$ for some $\alpha$,$\beta$,$\gamma$ $\epsilon$ R. Then $\alpha$ is equal to:
asked
Oct 16, 2019
in
Linear Algebra
by
Kushagra गुप्ता
(
415
points)

47
views
linearalgebra
engineeringmathematics
0
votes
0
answers
Gatebook:Calculus
The area of triangle is calculated by the formula . If the angle A is measure with 1% error. Find the % error in area. (A) (B) (C) (D)
asked
Oct 7, 2019
in
Calculus
by
Sambhrant Maurya
(
403
points)

23
views
gatebook
engineeringmathematics
calculus
0
votes
0
answers
Gatebook: Calculus
The area enclosed between the parabola and straight line is (A) (B) (C) (D)
asked
Oct 7, 2019
in
Calculus
by
Sambhrant Maurya
(
403
points)

12
views
gatebook
engineeringmathematics
calculus
0
votes
0
answers
Linear algebra eigen value
let A be a 2*2 matrix with integer entries. Which of following could be it's eigen value. A.1/root(2) B.${\sqrt[3]{2}}$ C.${\sqrt[2]{2}}$ D.$\prod$(pie)
asked
Sep 25, 2019
in
Mathematical Logic
by
amit166
(
139
points)

20
views
linearalgebra
engineeringmathematics
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