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Recent questions tagged go-mathematics-1
1
vote
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
117
views
go-mathematics-1
set-theory
1
vote
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
Bikram
asked
in
Mathematical Logic
Aug 8, 2016
by
Bikram
134
views
go-mathematics-1
mathematical-logic
1
vote
2
answers
3
GATE Overflow | Mathematics | Test 1 | Question: 28
Virat had 4 pairs of identical black socks and 5 pairs of identical green socks in a box. With his eyes closed he took them out one by one. How many socks should he take out before he is guaranteed to have a matching pair? [ Assume that what is taken out is not put back ] 3 5 6 10
Bikram
asked
in
Quantitative Aptitude
Aug 8, 2016
by
Bikram
284
views
go-mathematics-1
quantitative-aptitude
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
Bikram
asked
in
Quantitative Aptitude
Aug 8, 2016
by
Bikram
206
views
go-mathematics-1
quantitative-aptitude
0
votes
2
answers
5
GATE Overflow | Mathematics | Test 1 | Question: 26
Which of the following propositions is a tautology ? $(p \vee q) \to p$ $p \vee (q \to p )$ $p \vee ( p \to q )$ $p \to (p \to q )$
Bikram
asked
in
Mathematical Logic
Aug 8, 2016
by
Bikram
102
views
go-mathematics-1
mathematical-logic
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
Bikram
asked
in
Combinatory
Aug 8, 2016
by
Bikram
320
views
go-mathematics-1
combinatory
quantitative-aptitude
1
vote
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
Bikram
asked
in
Combinatory
Aug 8, 2016
by
Bikram
172
views
go-mathematics-1
combinatory
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
Bikram
asked
in
Linear Algebra
Aug 8, 2016
by
Bikram
123
views
go-mathematics-1
linear-algebra
matrix
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
304
views
go-mathematics-1
set-theory
relations
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
163
views
go-mathematics-1
set-theory
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
250
views
go-mathematics-1
set-theory
group-theory
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
243
views
go-mathematics-1
set-theory
group-theory
1
vote
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 $2^{2^n}$ $2^{n^2}$ ${(2^n)}^2$ ${(2^2)}^n$
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
67
views
go-mathematics-1
set-theory
1
vote
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
225
views
go-mathematics-1
set-theory
group-theory
1
vote
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
179
views
go-mathematics-1
relations
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
Bikram
asked
in
Combinatory
Aug 8, 2016
by
Bikram
202
views
go-mathematics-1
combinatory
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
Bikram
asked
in
Graph Theory
Aug 8, 2016
by
Bikram
82
views
go-mathematics-1
graph-theory
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
109
views
go-mathematics-1
set-theory&algebra
functions
1
vote
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
122
views
go-mathematics-1
set-theory
1
vote
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
Bikram
asked
in
Combinatory
Aug 8, 2016
by
Bikram
286
views
go-mathematics-1
combinatory
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
107
views
go-mathematics-1
set-theory
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
Bikram
asked
in
Combinatory
Aug 8, 2016
by
Bikram
102
views
go-mathematics-1
combinatory
1
vote
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
Bikram
asked
in
Probability
Aug 8, 2016
by
Bikram
272
views
go-mathematics-1
probability
1
vote
3
answers
24
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
295
views
go-mathematics-1
graph-theory
independent-set
1
vote
2
answers
25
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
164
views
go-mathematics-1
probability
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
Bikram
asked
in
Set Theory & Algebra
Aug 8, 2016
by
Bikram
112
views
go-mathematics-1
partial-order
2
votes
2
answers
27
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
231
views
go-mathematics-1
linear-algebra
system-of-equations
1
vote
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
Bikram
asked
in
Linear Algebra
Aug 8, 2016
by
Bikram
141
views
go-mathematics-1
linear-algebra
eigen-value
1
vote
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
Bikram
asked
in
Combinatory
Aug 6, 2016
by
Bikram
326
views
go-mathematics-1
combinatory
1
vote
3
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
Bikram
asked
in
Set Theory & Algebra
Aug 6, 2016
by
Bikram
315
views
go-mathematics-1
set-theory&algebra
relations
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