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User Bikram
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Questions by Bikram
2
votes
1
answer
841
GATE Overflow | Mathematics | Test 1 | Question: 20
Every element of some ring $(R,+,*)$ is such that $a*a=a.$ This ring is commutative is non-commutative may or may not be commutative none
asked
in
Set Theory & Algebra
Aug 8, 2016
576
views
go-mathematics-1
set-theory
group-theory
2
votes
2
answers
842
GATE Overflow | Mathematics | Test 1 | Question: 19
A group has 11 elements. The number of proper sub-groups it can have is 0 11 5 4
asked
in
Set Theory & Algebra
Aug 8, 2016
743
views
go-mathematics-1
set-theory
group-theory
1
vote
1
answer
843
GATE Overflow | Mathematics | Test 1 | Question: 18
Let $A$ be a finite set of size $n$, the number of elements in the power set of $A \times A$ is $2^{2^n}$ $2^{n^2}$ ${(2^n)}^2$ ${(2^2)}^n$
asked
in
Set Theory & Algebra
Aug 8, 2016
246
views
go-mathematics-1
set-theory
1
vote
1
answer
844
GATE Overflow | Mathematics | Test 1 | Question: 17
The set $\{1,2,3,4,6,8,12,24\}$ together with the two binary operations LCM and GCD represents which of the following algebraic structure? group ring lattice field
asked
in
Set Theory & Algebra
Aug 8, 2016
552
views
go-mathematics-1
set-theory
group-theory
1
vote
1
answer
845
GATE Overflow | Mathematics | Test 1 | Question: 16
A relation $R$ is defined on $N \times N$, such that $(a,b) R (c,d)$ iff $a+d = b+c.$ The relation $R$ is reflexive but not transitive reflexive and transitive but not symmetric an equivalence relation a partial order
asked
in
Set Theory & Algebra
Aug 8, 2016
489
views
go-mathematics-1
relations
2
votes
2
answers
846
GATE Overflow | Mathematics | Test 1 | Question: 15
At any time total number of persons on earth who have shaken hands an odd number of times has to be an even number an odd number a prime number a perfect square
asked
in
Combinatory
Aug 8, 2016
525
views
go-mathematics-1
combinatory
0
votes
1
answer
847
GATE Overflow | Mathematics | Test 1 | Question: 14
In any undirected graph the sum of degree of all the nodes must be even is twice the number of edges need not be even both A and B
asked
in
Graph Theory
Aug 8, 2016
579
views
go-mathematics-1
graph-theory
0
votes
2
answers
848
GATE Overflow | Mathematics | Test 1 | Question: 13
For a function to be invertible it has to be one to one onto both one to one and onto none
asked
in
Set Theory & Algebra
Aug 8, 2016
298
views
go-mathematics-1
set-theory&algebra
functions
1
vote
1
answer
849
GATE Overflow | Mathematics | Test 1 | Question: 12
The set $\{1,2,3\}$ is equal to $\{2,1,3\}$ $\{3,2,1\}$ $\{1,2,3,1\}$ All of the above
asked
in
Set Theory & Algebra
Aug 8, 2016
303
views
go-mathematics-1
set-theory
1
vote
1
answer
850
GATE Overflow | Mathematics | Test 1 | Question: 11
For a game in which $2$ partners oppose $2$ other partners, seven men are available. If every possible pair must play against every other pair, then the number of games to be played is 90 120 140 105
asked
in
Combinatory
Aug 8, 2016
492
views
go-mathematics-1
combinatory
0
votes
1
answer
851
GATE Overflow | Mathematics | Test 1 | Question: 10
The number of elements in the power set of the set $\{ \{\{\}\}, 1, (2,3) \}$ is 2 4 8 3
asked
in
Set Theory & Algebra
Aug 8, 2016
293
views
go-mathematics-1
set-theory
0
votes
2
answers
852
GATE Overflow | Mathematics | Test 1 | Question: 9
A student taking a History examination is directed to answer any seven of 10 essay questions. There is no concern about Order here, so the student can answer the examination in how many ways? 110 129 120 140
asked
in
Combinatory
Aug 8, 2016
254
views
go-mathematics-1
combinatory
1
vote
4
answers
853
GATE Overflow | Mathematics | Test 1 | Question: 8
If the proposition $\neg P \to Q$ is true, then the truth value of the proposition $\neg P \vee ( P \to Q)$ is True Multi-valued False Can not be determined
asked
in
Probability
Aug 8, 2016
616
views
go-mathematics-1
probability
1
vote
3
answers
854
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
asked
in
Graph Theory
Aug 8, 2016
649
views
go-mathematics-1
graph-theory
independent-set
1
vote
2
answers
855
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 $P +Q + R$ $P+Q-R$ $Q +R$ $P -Q -R$
asked
in
Probability
Aug 8, 2016
419
views
go-mathematics-1
probability
0
votes
1
answer
856
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
asked
in
Set Theory & Algebra
Aug 8, 2016
270
views
go-mathematics-1
partial-order
2
votes
2
answers
857
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 $rank (A) = n$.
asked
in
Linear Algebra
Aug 8, 2016
460
views
go-mathematics-1
linear-algebra
system-of-equations
1
vote
2
answers
858
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
asked
in
Linear Algebra
Aug 8, 2016
413
views
go-mathematics-1
linear-algebra
eigen-value
1
vote
6
answers
859
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
asked
in
Combinatory
Aug 6, 2016
700
views
go-mathematics-1
combinatory
1
vote
2
answers
860
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
asked
in
Set Theory & Algebra
Aug 6, 2016
695
views
go-mathematics-1
set-theory&algebra
relations
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