Recent questions and answers in Engineering Mathematics

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0 answers

horn clause
Among the following which is not a Horn Clause ? (A) p (B) 7p V q (C) p -> q (D) p -> 7q

asked 12 minutes ago in Mathematical Logic by Sanjay Sharma Veteran (47k points) | 3 views

+1 vote

0 answers

Solution of non - homogeneous Recurrence relation

asked 4 hours ago in Combinatory by Chhotu Loyal (4.7k points) | 8 views

+8 votes

3 answers

TIFR2013-A-9
There are $n$ kingdoms and $2n$ champions. Each kingdom gets $2$ champions. The number of ways in which this can be done is: $\frac{\left ( 2n \right )!}{2^{n}}$ $\frac{\left ( 2n \right )!}{n!}$ $\frac{\left ( 2n \right )!}{2^{n} . n!}$ $n!/2$ None of the above.

answered 5 hours ago in Combinatory by Rishi yadav Boss (5.9k points) | 319 views

+1 vote

1 answer

correct formula for not all sunny days are hot

answered 9 hours ago in Mathematical Logic by akb1115 Active (1.9k points) | 22 views

0 votes

1 answer

Eigen Values of a skew Symmetric Matrix

answered 10 hours ago in Mathematical Logic by Surya Dhanraj Loyal (2.6k points) | 15 views

+1 vote

1 answer

K. Rosen: Probability
Why is it 7 in the denominator?

answered 11 hours ago in Probability by Shivam Chauhan Boss (6.1k points) | 37 views

0 votes

1 answer

First Order Logic
A = ∃x (P(x) ^ Q(x)). B = ∃x P(x) ^ ∃x Q(x). Which is correct? a) A => B b) B => A c) A <=> B d) None of These Please Explain.

answered 1 day ago in Mathematical Logic by Rishabh Gupta 2 Loyal (3.6k points) | 17 views

0 votes

2 answers

probability
5 cards are drawn successively with replacement from well shuffled deck of 52 cards. What is the probability that i) all the five cards are spades ii) only 3 cards are spades iii) none is a spade.

answered 1 day ago in Probability by srestha Veteran (65.1k points) | 26 views

0 votes

2 answers

Graph theory
The total number of non isomorphic graph which can be formed with 3 vertices________________________

answered 1 day ago in Graph Theory by Ashwani Kumar 2 Boss (5.2k points) | 114 views

0 votes

0 answers

First Order Logic
A = ∃x(P(x)^Q(x)) B = ∃x P(x) ^ ∃x Q(x), which is correct? a) A <=> B b) A => B c) B => A d) None of These Please Explain. [closed]

asked 2 days ago in Mathematical Logic by nishant279 (461 points) | 8 views

+3 votes

1 answer

Counting
Suppose that a person with 10 friends invites a different subset of 3 friends to dinner every night for 10 days. In how many ways can he do this so that all friends are included at least once ? How to approach this problem ?

answered 2 days ago in Mathematical Logic by Habibkhan Veteran (88.7k points) | 24 views

+12 votes

6 answers

GATE2003-40
A graph $G=(V,E)$ satisfies $|E| \leq 3 |V| - 6$. The min-degree of $G$ is defined as $\min_{v\in V}\left\{degree (v)\right \}$. Therefore, min-degree of $G$ cannot be 3 4 5 6

answered 2 days ago in Graph Theory by Swati Rauniyar Junior (797 points) | 1.1k views

+3 votes

5 answers

ISRO2017-9
The symmetric difference of sets $A=\{1,2, 3,4, 5, 6, 7, 8\}$ and $B= \{1, 3, 5, 6, 7,8,9\}$ is: $\{1, 3, 5, 6, 7,8\}$ $\{2, 4, 9\}$ $\{2, 4\}$ $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$

answered 2 days ago in Set Theory & Algebra by Prateek Thakral (69 points) | 1.3k views

+9 votes

6 answers

TIFR2010-A-19, TIFR2014-A-6
Karan tells truth with probability 1/3 and lies with probability 2/3. Independently, Arjun tells truth with probability 3/4 and lies with probability 1/4. Both watch a cricket match. Arjun tells you that India won, Karan tells you that India lost. What probability will you assign to India's win? 1/2 2/3 3/4 5/6 6/7

answered 3 days ago in Probability by Rishi yadav Boss (5.9k points) | 769 views

0 votes

1 answer

Gate_other_branch_question

answered 3 days ago in Probability by junk_mayavi Active (1.1k points) | 30 views

+10 votes

4 answers

GATE2016-2-05
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 _________.

answered 3 days ago in Probability by Rishi yadav Boss (5.9k points) | 1.2k views

+6 votes

3 answers

TIFR 2012- Probability
Amar and Akbar both tell the truth with probability 3/4 and lie with probability 1/4. Amar watches a test match and talks to Akbar about the outcome. Akbar, in turn, tells Anthony, "Amar told me that India won". What probability should Anthony assign to India's win? (a) 9/16 (b) 6/16 (c) 7/16 (d) 10/16

answered 3 days ago in Probability by Rishi yadav Boss (5.9k points) | 154 views

0 votes

0 answers

Gate 2004| Logics| Let p,q,r, s be 4 primitive statements. Consider these arguments [closed]

asked 4 days ago in Mathematical Logic by rahul saxena (273 points) | 14 views

+7 votes

3 answers

GATE2004-IT-5
What is the maximum number of edges in an acyclic undirected graph with n vertices? n-1 n n+1 2n-1

answered 4 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 714 views

+5 votes

6 answers

GATE2008-1
$\lim_{x \to \infty}\frac{x-\sin x}{x+\cos x}$ equals $1$ $-1$ $\infty$ $-\infty$

answered 4 days ago in Calculus by Anix7 (61 points) | 884 views

+5 votes

4 answers

GATE2017-1-28
The value of $\lim_{x\rightarrow 1} \frac{x^{7}-2x^{5}+1}{x^{3}-3x^{2}+2}$ (A) is 0 (B) is -1 (C) is 1 (D) does not exist

answered 4 days ago in Calculus by Anix7 (61 points) | 831 views

0 votes

0 answers

Made easy
Please tell me how the odd function is getting a positive value over -1/2 to 1/2? [closed]

asked 4 days ago in Mathematical Logic by Sayan Ghosh (125 points) | 29 views

+10 votes

4 answers

GATE2012_26
Which of the following graphs is isomorphic to

answered 4 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 698 views

+15 votes

5 answers

GATE2003-36
How many perfect matching are there in a complete graph of $6$ vertices? 15 24 30 60

answered 4 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 1.9k views

+3 votes

2 answers

TIFR2017-B-10
A vertex colouring of a graph $G=(V, E)$ with $k$ coulours is a mapping $c: V \rightarrow \{1, \dots , k\}$ such that $c(u) \neq c(v)$ for every $(u, v) \in E$. Consider the following statements: If every vertex in $G$ has ... statements is/are TRUE? Choose from the following options: only i only i and ii only i and iii only ii and iii i, ii, and iii

answered 5 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 172 views

+6 votes

2 answers

GATE2008-IT-3
What is the chromatic number of the following graph? 2 3 4 5

answered 5 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 767 views

0 votes

3 answers

Graph Theory Path
What is the difference between path and Euler path?

answered 5 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 86 views

+9 votes

5 answers

GATE2010-28
The degree sequence of a simple graph is the sequence of the degrees of the nodes in the graph in decreasing order. Which of the following sequences can not be the degree sequence of any graph? 7, 6, 5, 4, 4, 3, 2, 1 6, 6, 6, 6, 3, 3, 2, 2 7, 6, 6, 4, 4, 3, 2, 2 8, 7, 7, 6, 4, 2, 1, 1 I and II III and IV IV only II and IV

answered 5 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 1.7k views

+5 votes

2 answers

GATE2013_25
Which of the following statements is/are TRUE for undirected graphs? P: Number of odd degree vertices is even. Q: Sum of degrees of all vertices is even. (A) P only (B) Q only (C) Both P and Q (D) Neither P nor Q

answered 5 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 800 views

+10 votes

3 answers

GATE2014-1-52
An ordered $n-$tuple $(d_1, d_2,....,d_n)$ with $d_1 \geq d_2 \geq ... \geq d_n$ is called graphic if there exists a simple undirected graph with $n$ vertices having degrees $d_1,d_2,...,d_n$ respectively. Which one of the following 6-tuples is NOT graphic? $(1,1,1,1,1,1)$ $(2,2,2,2,2,2)$ $(3,3,3,1,0,0)$ $(3,2,1,1,1,0)$

answered 5 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 819 views

+5 votes

2 answers

TIFR2012-B-2
In a graph, the degree of a vertex is the number of edges incident (connected) on it. Which of the following is true for every graph $G$? There are even number of vertices of even degree. There are odd number of vertices of even degree ... number of vertices of odd degree. There are odd number of vertices of odd degree. All the vertices are of even degree.

answered 5 days ago in Graph Theory by Rishi yadav Boss (5.9k points) | 189 views

+1 vote

1 answer

P and C doubt
Given a 4 *4 grid points , how many Triangles with vertices on the grid can be formed?

answered 5 days ago in Combinatory by rahul saxena (273 points) | 32 views

+9 votes

6 answers

GATE2015-2_26
Let $f(x)=x^{-(1/3)}$ and $A$ denote the area of region bounded by $f(x)$ and the X-axis, when $x$ varies from -1 to 1. Which of the following statements is/are TRUE? $f$ is continuous in [-1, 1] $f$ is not bounded in [-1, 1] $A$ is nonzero and finite II only III only II and III only I, II and III

answered 5 days ago in Calculus by mohitbawankar Active (1.1k points) | 1.8k views

+3 votes

3 answers

GATE2005-IT-3
The determinant of the matrix given below is $$\begin{bmatrix} 0 &1 &0 &2 \\ -1& 1& 1& 3\\ 0&0 &0 & 1\\ 1& -2& 0& 1 \end{bmatrix}$$ -1 0 1 2

answered 5 days ago in Linear Algebra by Anix7 (61 points) | 481 views

0 votes

1 answer

Previous year
Consider the function f(x)=sin(x) in the interval x=[π/4,7π/4]. The number and location(s) of the local minima of this function are (A) One, at π/2 (B) One, at 3π/2 (C) Two, at π/2 and 3π/2 (D) Two, at π/4 and 3π/2 ... where slope is 0 for f(x) not the end points.End points is used for absolute minima/maxima ( as much as i have read in books that is). [closed]

answered 5 days ago in Mathematical Logic by amaity Loyal (3.2k points) | 20 views

+1 vote

1 answer

Area Bounded By Curve
Let f(x)=x−(1/2) and A denote the area of region bounded by f(x) and the x-axis, when x varies from -1 to 1. A is nonzero and finite??

answered 6 days ago in Calculus by Sayan Ghosh (125 points) | 62 views

+7 votes

4 answers

GATE2007-3
What is the maximum number of different Boolean functions involving $n$ Boolean variables? $n^2$ $2^n$ $2^{2^n}$ $2^{n^2}$

answered 6 days ago in Set Theory & Algebra by just_bhavana Boss (7.6k points) | 640 views

+3 votes

2 answers

GATE2005-48
Consider the following system of linear equations : $$2x_1 - x_2 + 3x_3 = 1$$ $$3x_1 + 2x_2 + 5x_3 = 2$$ $$-x_1+4x_2+x_3 = 3$$ The system of equations has no solution a unique solution more than one but a finite number of solutions an infinite number of solutions

answered 6 days ago in Linear Algebra by Rishi yadav Boss (5.9k points) | 355 views

+6 votes

4 answers

GATE2015-3_15
In the given matrix $\begin{bmatrix} 1 & -1 & 2 \\ 0 & 1 & 0 \\ 1 & 2 & 1 \end{bmatrix}$ , one of the eigenvalues is 1. The eigenvectors corresponding to the eigenvalue 1 are $\left\{a\left(4,2,1\right) \mid a \neq 0, a \in ... a \in \mathbb{R}\right\}$ $\left\{a\left(- \sqrt{2},0,1\right) \mid a \neq 0, a \in \mathbb{R}\right\}$

answered 6 days ago in Linear Algebra by Rishi yadav Boss (5.9k points) | 900 views

+12 votes

4 answers

GATE 2016-1-05
Two eigenvalues of a $3 \times 3$ real matrix $P$ are $(2+\sqrt {-1})$ and $3$. The determinant of $P$ is _______

answered 6 days ago in Linear Algebra by Rishi yadav Boss (5.9k points) | 1.6k views

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