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Recent questions tagged go-mathematics-1

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1 answer
1
GATE Overflow | Mathematics | Test 1 | Question: 30
In the set of natural numbers the binary operators that are neither Associative nor Commutative are addition subtraction multiplication division I and II III and IV II and IV All of these
In the set of natural numbers the binary operators that are neither Associative nor Commutative areaddition subtraction multiplication ...
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1 votes
3 answers
2
GATE Overflow | Mathematics | Test 1 | Question: 29
According to the principle of logic, an implication and it's contrapositive must be both true or both false both true both false none
According to the principle of logic, an implication and it's contrapositive must beboth true or both falseboth trueboth falsenone
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0 votes
1 answer
4
GATE Overflow | Mathematics | Test 1 | Question: 27
Arvind was given an apple and a knife. He was asked to make it into a cube. What is the minimum number of cuts that he needs to make? 4 6 8 12
Arvind was given an apple and a knife. He was asked to make it into a cube. What is the minimum number of cuts that he needs to make?4 6 8 12
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0 votes
2 answers
5
GATE Overflow | Mathematics | Test 1 | Question: 26
Which of the following propositions is a tautology ? $(p \vee q) \to p$ $p \vee (q \to p )$ $p \vee ( p \to q )$ $p \to (p \to q )$
Which of the following propositions is a tautology ?$(p \vee q) \to p$ $p \vee (q \to p )$$p \vee ( p \to q )$ $p \to (p \to q )$
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4 votes
2 answers
6
GATE Overflow | Mathematics | Test 1 | Question: 25
A 6 digit number 123ABC is exactly divisible by $5,7$ and $9$. How many such possible numbers are there ? 2 3 4 5
A 6 digit number 123ABC is exactly divisible by $5,7$ and $9$. How many such possible numbers are there ?2 3 4 5
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1 votes
2 answers
7
GATE Overflow | Mathematics | Test 1 | Question: 24
Rama wrote 5 different letters. He prepared 5 different envelopes for the 5 letters. If he randomly distributes the 5 letters to the 5 envelops what is the probability that each letter gets into correct envelope ? 1/2 1/5 1/60 1/120
Rama wrote 5 different letters. He prepared 5 different envelopes for the 5 letters. If he randomly distributes the 5 letters to the 5 envelops what is the probability th...
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2 votes
2 answers
8
GATE Overflow | Mathematics | Test 1 | Question: 23
If the determinant of an $n \times n$ matrix $A$ is zero then rank of $A$ is $n$ rank of $A\leq n-2$ $A$ has at least one zero eigen value the system of equations $Ax=0$ has no solution other than trivial solution
If the determinant of an $n \times n$ matrix $A$ is zero thenrank of $A$ is $n$rank of $A\leq n-2$$A$ has at least one zero eigen valuethe system of equations $Ax=0$ has ...
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3 votes
2 answers
9
GATE Overflow | Mathematics | Test 1 | Question: 22
Total number of Equivalent Relations that can be defined on set $\{1,2,3\}$ ? 8 64 5 3
Total number of Equivalent Relations that can be defined on set $\{1,2,3\}$ ?8 64 5 3
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3 votes
1 answer
10
GATE Overflow | Mathematics | Test 1 | Question: 21
A subset of a countable set is countable is finite may or may not be countable none of the options above are true
A subset of a countable setis countable is finite may or may not be countable none of the options above are true
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2 votes
1 answer
11
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
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2 votes
2 answers
12
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
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1 votes
1 answer
13
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$2^{2^n}$ $2^{n^2}$ ${(2^n)}^2$ ${(2^2)}^n$
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1 votes
1 answer
14
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
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1 votes
1 answer
15
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 ...
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2 votes
2 answers
16
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
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0 votes
1 answer
17
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
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0 votes
2 answers
18
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
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1 votes
1 answer
19
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
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1 votes
1 answer
20
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...
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0 votes
1 answer
21
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
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0 votes
2 answers
22
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...
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1 votes
4 answers
23
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...
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0 votes
1 answer
26
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...
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1 votes
2 answers
28
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...
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1 votes
6 answers
29
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
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1 votes
2 answers
30
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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