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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
Every element of some ring $(R,+,*)$ is such that $a*a=a.$ This ringis commutative is non-commutative may or may not be commutative none
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
A group has 11 elements. The number of proper sub-groups it can have is0 11 5 4
1 votes
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 $2^{2^n}$ $2^{n^2}$ ${(2^n)}^2$ ${(2^2)}^n$
Let $A$ be a finite set of size $n$, the number of elements in the power set of $A \times A$ is$2^{2^n}$ $2^{n^2}$ ${(2^n)}^2$ ${(2^2)}^n$
1 votes
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
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
1 votes
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
A relation $R$ is defined on $N \times N$, such that $(a,b) R (c,d)$ iff $a+d = b+c.$ The relation $R$ isreflexive but not transitive reflexive and transitive ...
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
At any time total number of persons on earth who have shaken hands an odd number of times has to bean even number an odd numbera prime number a perfect square
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
In any undirected graph the sum of degree of all the nodesmust be even is twice the number of edges need not be evenboth A and B
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
For a function to be invertible it has to beone to one onto both one to one and ontonone
1 votes
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
The set $\{1,2,3\}$ is equal to$\{2,1,3\}$ $\{3,2,1\}$ $\{1,2,3,1\}$ All of the above
1 votes
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
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 t...
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
The number of elements in the power set of the set $\{ \{\{\}\}, 1, (2,3) \}$ is2 4 8 3
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
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 examinat...
1 votes
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
If the proposition $\neg P \to Q$ is true, then the truth value of the proposition $\neg P \vee ( P \to Q)$ isTrue Multi-valued False Can no...
1 votes
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 $P +Q + R$ $P+Q-R$ $Q +R$ $P -Q -R$
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 ...
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
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,&po...
1 votes
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
$A$ 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 d...
1 votes
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
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? 10121416
1 votes
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
A relation $R$ is defined as $xRy$ , if $x$ and $y$ are NOT equal. This relation $R$ issymmetric but not reflexivesymmetric and transitive but not reflexivean equivalent ...
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