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Recent questions in Engineering Mathematics
1
vote
3
answers
7381
GATE Overflow | Mathematics | Test 1 | Question: 7
Let $G$ be a simple graph with $20$ vertices and $100$ edges. The size of the minimum vertex cover of $G$ is $8$. Then, the size of the maximum independent set of $G$ is: 12 8 Less than 8 More than 12
Bikram
asked
in
Graph Theory
Aug 8, 2016
by
Bikram
646
views
go-mathematics-1
graph-theory
independent-set
1
vote
2
answers
7382
GATE Overflow | Mathematics | Test 1 | Question: 6
The probability of occurrence of an event $B$ is $P$, The probability that events $A$ and $B$ occur together is $Q$. The probability that $A$ occurs without $B$ occuring is $R$. Then the probability of $A$ occuring is $P +Q + R$ $P+Q-R$ $Q +R$ $P -Q -R$
Bikram
asked
in
Probability
Aug 8, 2016
by
Bikram
418
views
go-mathematics-1
probability
0
votes
1
answer
7383
GATE Overflow | Mathematics | Test 1 | Question: 5
Let $X = \{2,3,6,12,24\}$ and $£$ be the partial order defined by $X £ Y$ if $x$ divides $y$. Number of edges in the Hasse diagram of $(X,£)$ is? 3 4 9 None of the above
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
267
views
go-mathematics-1
partial-order
2
votes
2
answers
7384
GATE Overflow | Mathematics | Test 1 | Question: 4
Let $Ax = b$ be a system of linear equations where $A$ is a $m \times n$ matrix and $b$ is a $m \times 1$ column vector and $X$ is a $n \times 1$ column vector of unknows. Which of the following is false? The system has a ... unique solution. The system will have only a trivial solution when $m = n,$ $b$ is the zero vector and $rank (A) = n$.
Bikram
asked
in
Linear Algebra
Aug 8, 2016
by
Bikram
456
views
go-mathematics-1
linear-algebra
system-of-equations
1
vote
2
answers
7385
GATE Overflow | Mathematics | Test 1 | Question: 3
$A$ is a $2\times 2$ matrix with eigenvalues $2$ and $-3$. The eigenvalues of the matrix $A^2$ are? 4,-9 2,-3 4,9 can not be determined from given data
Bikram
asked
in
Linear Algebra
Aug 8, 2016
by
Bikram
410
views
go-mathematics-1
linear-algebra
eigen-value
6
votes
2
answers
7386
UGC NET CSE | December 2015 | Part 2 | Question: 48
How many solutions are there for the equation $x+y+z+u=29$ subject to the constraints that $x \geq 1, \: \: y \geq 2 \: \: z \geq 3 \: \: and \: \: u \geq 0$? 4960 2600 23751 8855
go_editor
asked
in
Discrete Mathematics
Aug 8, 2016
by
go_editor
3.5k
views
ugcnetcse-dec2015-paper2
discrete-mathematics
combinatory
2
votes
1
answer
7387
UGC NET CSE | December 2015 | Part 2 | Question: 10
Which of the following property/ies a Group G must hold, in order to be an Abelian group? The distributive property The commutative property The symmetric property i and ii ii and iii i only ii only
go_editor
asked
in
Mathematical Logic
Aug 8, 2016
by
go_editor
3.3k
views
ugcnetcse-dec2015-paper2
discrete-mathematics
set-theory&algebra
group-theory
3
votes
2
answers
7388
UGC NET CSE | December 2015 | Part 2 | Question: 9
Consider the compund propositions given below as: $p \vee \sim (p \wedge q)$ $(p \wedge \sim q) \vee \sim (p \wedge q)$ $p \wedge (q \vee r)$ Which of the above propositions are tautologies i and iii ii and iii i and ii i, ii, and iii
go_editor
asked
in
Mathematical Logic
Aug 8, 2016
by
go_editor
2.5k
views
ugcnetcse-dec2015-paper2
mathematical-logic
1
vote
2
answers
7389
UGC NET CSE | December 2015 | Part 2 | Question: 8
Match the following : ... $\text{(a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)}$
go_editor
asked
in
Discrete Mathematics
Aug 8, 2016
by
go_editor
1.5k
views
ugcnetcse-dec2015-paper2
discrete-mathematics
propositional-logic
0
votes
2
answers
7390
UGC NET CSE | December 2015 | Part 2 | Question: 7
Let P(m,n) be the statement "m divides n" where the universe of discourse for both the variable is the set of positive integers. Determine the truth values of each of the following propositions: $\forall m \forall n P(m, n)$ ... True, b-True, c-False a-True, b-False, c-False a-False, b-False, c-False a-True, b-True, c-True
go_editor
asked
in
Mathematical Logic
Aug 7, 2016
by
go_editor
3.0k
views
ugcnetcse-dec2015-paper2
discrete-mathematics
mathematical-logic
2
votes
1
answer
7391
Discrete Math
Coefficient of is ??
Ravi_1511
asked
in
Combinatory
Aug 7, 2016
by
Ravi_1511
311
views
combinatory
3
votes
3
answers
7392
conditional probability
A box contains 10 mangoes out of which 4 are rotten .Two mangoes are taken out together. If one of them is found to be good ,then find the probability other is also good
indrajeet
asked
in
Probability
Aug 6, 2016
by
indrajeet
2.1k
views
engineering-mathematics
probability
conditional-probability
3
votes
3
answers
7393
conditional probability
One dice is thrown three times and the sum of the thrown numbers is 15.find the probability for which number 4 appears in first throw.
indrajeet
asked
in
Probability
Aug 6, 2016
by
indrajeet
1.2k
views
engineering-mathematics
probability
conditional-probability
1
vote
6
answers
7394
GATE Overflow | Mathematics | Test 1 | Question: 2
Four couples decide to form a committee of four members. The number of different committees that can be formed in which no couple finds a place is? 10 12 14 16
Bikram
asked
in
Combinatory
Aug 6, 2016
by
Bikram
697
views
go-mathematics-1
combinatory
1
vote
2
answers
7395
GATE Overflow | Mathematics | Test 1 | Question: 1
A relation $R$ is defined as $xRy$ , if $x$ and $y$ are NOT equal. This relation $R$ is symmetric but not reflexive symmetric and transitive but not reflexive an equivalent relation none of reflexive or symmetric or transitive
Bikram
asked
in
Set Theory & Algebra
Aug 6, 2016
by
Bikram
680
views
go-mathematics-1
set-theory&algebra
relations
3
votes
3
answers
7396
Discrete Math
How many partial functions are there from a set with m elements to a set with n elements? Q. I cannot get the intuition how the solution arrived to be (n+1)^m
Sarvottam Patel
asked
in
Set Theory & Algebra
Aug 6, 2016
by
Sarvottam Patel
2.3k
views
functions
set-theory
counting
0
votes
1
answer
7397
Calcus
1. f(x)=|x|+ |x+1|+ |x+2| is diffrentiable at x= 1 How it 1 Please Explain ?
Vijay Dulam
asked
in
Calculus
Aug 5, 2016
by
Vijay Dulam
424
views
3
votes
1
answer
7398
Abelian groups
Is every subgroup of an abelian group abelian?
debanjan sarkar
asked
in
Set Theory & Algebra
Aug 4, 2016
by
debanjan sarkar
1.2k
views
2
votes
2
answers
7399
#beautyofpie
There is two parallel lines and a matchstick. The constant distance between these two lines is equal to the the length of the matchstick. If the matchstick is dropped between the two lines randomly many times then what would be the probability that the matchstick would intersect the lines(any of it).The answer is .64 but I am not sure Please explain..
Amit Prakash Tiwari
asked
in
Probability
Aug 4, 2016
by
Amit Prakash Tiwari
468
views
1
vote
3
answers
7400
UGC NET CSE | December 2015 | Part 2 | Question: 4
Consider the graph given below: The two distinct set of vertices, which make the graph bipartite are $(v_1, v_4, v_6); (v_2, v_3, v_5, v_7, v_8)$ $(v_1, v_7, v_8); (v_2, v_3, v_5, v_6)$ $(v_1, v_4, v_6, v_7); (v_2, v_3, v_5, v_8)$ $(v_1, v_4, v_6, v_7, v_8); (v_2, v_3, v_5)$
go_editor
asked
in
Graph Theory
Aug 3, 2016
by
go_editor
1.7k
views
ugcnetcse-dec2015-paper2
graph-theory
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