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Recent questions tagged go-mathematics-1

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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

341 views

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

392 views

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

603 views

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

356 views

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

257 views

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

615 views

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

393 views

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

348 views

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

600 views

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

482 views

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

570 views

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

729 views

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

245 views

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

547 views

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

486 views

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

516 views

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

579 views

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

296 views

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

296 views

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

487 views

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

293 views

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

252 views

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

614 views

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

646 views

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

418 views

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

267 views

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

456 views

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

410 views

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

697 views

1 vote

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

Bikram asked in Set Theory & Algebra Aug 6, 2016

by Bikram

680 views

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Recent questions tagged go-mathematics-1