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+1 vote

2 answers

1

PGEE 2018
p: n is a prime number q: n mod 30 is prime number 1) p implies q 2) q implies p 3) p implies q or q implies p 4) If p implies q then q implies p

answered 13 minutes ago in Mathematical Logic by Kushagra Chatterjee Junior (827 points) | 51 views

0 votes

1 answer

2

PGEE 2018
let A and B be two n*n matrices such that they follow commutative property under multiplication operation which of the following follows commutative property 1) $A^{T} B$ 2) $B^{T} A$ 3) $A^{T} B^{T}$ 4) None

answered 1 hour ago in Linear Algebra by Sayan Bose Active (1.7k points) | 33 views

+1 vote

2 answers

3

PGEE 2018
Two trucks are 150 KM apart on the main road, Truck one start and go 25km straight then 15 km right 25 km left and finally turn towards the main road however due to breakage truck two only go 35 km straight what is the total distance between them now? A) 150 KM B) 50 Km C) 65 Km D) 85 Km

answered 2 hours ago in Mathematical Logic by Kushagra Chatterjee Junior (827 points) | 29 views

+1 vote

1 answer

4

PGEE 2018
4 person wearing different hat went to restaurant, they gave there hat to manager, manager has habit of forgetting thing while returning manager gave hat back to each person, probability that none of the person gets there respective hats is ?

answered 4 hours ago in Probability by rahul sharma 5 Boss (23k points) | 30 views

+1 vote

2 answers

5

PGEE 2018
Three person plays a game by tossing a coin, if atleast one of the outcome is different from another end is declared, coins are biased with probability of head is 1/4 what is probability that game ends in first round

answered 4 hours ago in Probability by rahul sharma 5 Boss (23k points) | 33 views

+1 vote

1 answer

6

PGEE 2018
If root of equation f(x) is 0 ar x= -3 and X= 3 then root of equation f(x+3) will be at ? A) X= 0 and X=6 B) X=-3 and X=3 C) X=-6 and X=0; D) X=-6 and X= 6

answered 4 hours ago in Set Theory & Algebra by Akhilesh Singla Active (3.1k points) | 18 views

+1 vote

1 answer

7

PGEE 2018
Which of the following tell us which day is on 14th of a particular month I) 17th is on 3rd Saturday II) the last date of the month is on Wednesday A) Only 1 is sufficient B) Only 2 is sufficient C) Both are required D) Both are insufficient

answered 4 hours ago in Mathematical Logic by Akhilesh Singla Active (3.1k points) | 20 views

+1 vote

2 answers

8

PGEE 2018
One one evening sita and gita were sitting in a park with there back facing each other sita was able to see her shadow on left at what direction was gita sitting ? A) North-East B) North C) West D) South

answered 5 hours ago in Mathematical Logic by Vipin Rai (21 points) | 36 views

+1 vote

1 answer

9

PGEE 2018
Which of the statement is sufficient to determine children of x 1) Q and U are brothers of T 2) P is the sister of U and S 3) P and T are daughters of X A) 1 and 2 B) 1,2 and 3 C) 2 and 3 D) data insufficient

answered 6 hours ago in Mathematical Logic by Mk Utkarsh Boss (11.9k points) | 17 views

0 votes

2 answers

10

PGEE 2018
Maximal Independence Number is the cardinality of maximal independence set ( Independence set V of graph G is set in which no vertex of the set have a direct edge between them). 1) Maximal Independence Number of a complete graph is n-1 2) Maximal Independence ... Maximal Independence Number of a complete graph is 1 4) Maximal Independence Number of complete graph is $\geq \frac{n}{2}$

answered 6 hours ago in Graph Theory by abhishekmehta4u Loyal (9.7k points) | 20 views

+1 vote

1 answer

11

PGEE 2018
Consider Undirected Graph G having vertex V {A,B,C,D,E} and edge pair as E {AB BD BE AC CE CD} A) Given graph is disconnected B) Given graph is complete C) Given graph has vertex connectivity 2 D) Given graph has edge connectivity 1

answered 6 hours ago in Graph Theory by abhishekmehta4u Loyal (9.7k points) | 16 views

0 votes

1 answer

12

PGEE 2018
Consider function f: N $\rightarrow$ N, where N is a natural number, which of the following function is not one to one but onto A) f(1)=f(2)=1 f(n)=n-1 B) 2n C) $n^{2}$

answered 6 hours ago in Set Theory & Algebra by abhishekmehta4u Loyal (9.7k points) | 23 views

0 votes

1 answer

13

PGEE 2018
Which of the following statement is true? 1) Exactly one of the statement is false 2) Exactly two statements are false 3) Exactly three statements are false 4) Exactly four statements are false A) II B) !V C) III D) I

answered 7 hours ago in Mathematical Logic by Akhilesh Singla Active (3.1k points) | 13 views

0 votes

0 answers

14

General Math
What is value of $\log _{2}10$? In general calculator $\ln _{2}10$ is giving 2.3.... But it should be 3. something right?

asked 1 day ago in Calculus by srestha Veteran (81.9k points) | 40 views

0 votes

2 answers

15

Number theory
Why does a perfect square number have odd number of factors?

answered 1 day ago in Mathematical Logic by pankaj_vir Loyal (6.3k points) | 16 views

0 votes

2 answers

16

ISRO 2013- Polynomials [EE]
The unique polynomial P(x) of degree 2 such that: P(1) = 1, P(3) = 27, P(4) = 64 is a) 8x2 -19x + 12 b) 8x2 + 19x + 12 c) -8x2 -19x + 12 d) -8x2 -19x - 12

answered 1 day ago in Linear Algebra by sampurnanand mishra (123 points) | 193 views

0 votes

2 answers

17

ISRO 2013- Integration [EE]
The integrating factor of equation sec 2 y dy/dx + x tan y = x3 is a) [e]x^2/2 b) [e] -x^2/2 c) [e]x/2 d) [e]-x/2

answered 1 day ago in Calculus by sampurnanand mishra (123 points) | 186 views

0 votes

2 answers

18

ISRO 2013- Functions [EE]
The minimum point of the function (x3 /3)- x is at a) x= 1 b) x = -1 c) x = 0 d) x = 1/ √ 3

answered 1 day ago in Calculus by sampurnanand mishra (123 points) | 140 views

+4 votes

2 answers

19

ISRO-DEC2017-9
The function $f:[0,3]\rightarrow [1,29]$ defined by $f(x)=2x^{3}-15x^{2}+36x+1$ is injective and surjective surjective but not injective injective but not surjective neither injective nor surjective

answered 1 day ago in Set Theory & Algebra by abhishekmehta4u Loyal (9.7k points) | 905 views

0 votes

1 answer

20

Self doubt
There are 10 different balls in such way that 6 balls are white and 4 balls are black. How many different arrangements are possible such way that black ball placed before the white ball ?

answered 2 days ago in Linear Algebra by Subarna Das Active (2.7k points) | 32 views

+1 vote

1 answer

21

UGC NET NOV 2017 PAPER II Q-9
9. Negation of the proposition › x H(x) is : (1) › x ¬ H(x) (2) ∀ x ¬ H(x) (3) ∀ x H(x) (4) ¬ x H(x)

answered 2 days ago in Mathematical Logic by Pradip Tilala (43 points) | 103 views

0 votes

3 answers

22

ISRO-DEC2017-6
The proposition $(P\Rightarrow Q)\wedge (Q\Rightarrow P)$ is a Tautology Contradiction Contingency Absurdity

answered 2 days ago in Mathematical Logic by abhishekmehta4u Loyal (9.7k points) | 702 views

+2 votes

3 answers

23

Probability Practice
Six balls are to be randomly chosen from an urn containing 8 red, 10 green, and 12 blue balls. What is the probability at least one red ball, one blue and one green ball is chosen?

answered 2 days ago in Probability by Subarna Das Active (2.7k points) | 282 views

+1 vote

1 answer

24

Set system and linear algebra
We have $m$ sets $A_1,A_2,A_3 \text{ to } A_m$. All $A_i \subseteq [n]$ where $ [n] = \{1,2,3, \dots n \}.$ Given that $|A_i| = \text{odd number}$ and $|A_i \cap A_j| = \text{even number }\forall i \neq j$. Show that $m \leq n$.

answered 2 days ago in Set Theory & Algebra by Sachin Mittal 1 Boss (15.5k points) | 133 views

0 votes

3 answers

25

ISRO-DEC-2017-6
The proposition $(P\Rightarrow Q)\wedge (Q\Rightarrow P)$ is a Tautology Contradiction Contingency Absurdity

answered 2 days ago in Probability by Subarna Das Active (2.7k points) | 39 views

0 votes

0 answers

26

Probability
murder takes place in an isolated village with 500 inhabitants. The police believe that red polyester fibers will have been transferred on to the murderer's clothes during the assault. Forensic experiments reveal that a probability of 0.9 can be assigned to such a transfer while the ... (a) P(guilt| fibers present) (b) P(fibres|guilt) (c) P(fibers) (d) P(guilt and fibers present). [closed]

asked 2 days ago in Mathematical Logic by Abhi Girin (419 points) | 58 views

0 votes

1 answer

27

Partial ordering
Is partial ordering and hasse diagram stuffs present in GATE 2019 Syllabus. Because topological order is already there in algorithems. Can anybody plz provide topic wise GATE 2019 Syllabus i am not getting it topic wise. Thanku in advance

answered 3 days ago in Mathematical Logic by sonveer tomar 1 Junior (891 points) | 20 views

0 votes

1 answer

28

IIT Kanpur Sample Test Paper
Given an undirected graph with vertices as your friends and edges between people who do not talk to each other. Your task is to invite as many guests to your party such that there are no two friends at the party who have problem talking to each ... instance of: A. Maximum vertex cover. B. Maximum cut. C. Maximum eigenvalue of adjacency matrix. D. None of the above.

answered 4 days ago in Graph Theory by Mk Utkarsh Boss (11.9k points) | 53 views

+1 vote

1 answer

29

CMI2010-A-06
A simple graph is one with no self-loops or multiple edges. Among the simple graphs with n vertices and at most 20n − 3 edges: There is always a graph with all vertices connected to at least 42 other vertices. For all such graphs the number of ... for some constant $c < 1$. There are no graphs with each vertex connected to at most 38 other vertices. None of the above

answered 4 days ago in Graph Theory by Mk Utkarsh Boss (11.9k points) | 86 views

+2 votes

2 answers

30

Sheldon Ross- A first course in Probability

answered 4 days ago in Probability by pankaj_vir Loyal (6.3k points) | 53 views

0 votes

0 answers

31

#Pigeonhole Principle Doubt
How many positive integers not exceeding 1000 are divisible by 7? So, the doubt here is why we are taking floor function while calculating this .

asked 4 days ago in Combinatory by Abhinavg (127 points) | 37 views

0 votes

0 answers

32

asked 4 days ago in Mathematical Logic by jjayantamahata Active (1.1k points) | 30 views

0 votes

0 answers

33

asked 4 days ago in Mathematical Logic by jjayantamahata Active (1.1k points) | 37 views

0 votes

2 answers

34

definite integration

answered 5 days ago in Calculus by pankaj_vir Loyal (6.3k points) | 59 views

0 votes

2 answers

35

CMI2017-B-5
An undirected graph is connected if, for any two vertices {u, v} of the graph, there is a path in the graph starting at u and ending at v. A tree is a connected, undirected graph that contains no cycle. (a) A leaf in a tree is a vertex that has degree 1. Prove that ... -that is, u ∈ V1 and v ∈ V2 or vice versa. Prove that if G is a tree with at least two vertices, then G is bipartite.

answered 5 days ago in Graph Theory by Mk Utkarsh Boss (11.9k points) | 85 views

+1 vote

2 answers

36

answered 5 days ago in Linear Algebra by pankaj_vir Loyal (6.3k points) | 43 views

0 votes

0 answers

37

asked 5 days ago in Probability by Prince Sindhiya (355 points) | 57 views

0 votes

1 answer

38

answered 5 days ago in Mathematical Logic by Kushagra Chatterjee Junior (827 points) | 15 views

0 votes

1 answer

39

Propositional logic
Sagar will marry Sheela only if She is a graduate and a good cook. Which is True ? 1.Sheela is a good cook but not a graduate hence Sagar will not marry sheela. 2.Sagar will marry sheela since she is a good cook though she is not a graduate. 3 ... and a good cook implies Sagar will marry Sheela 4.Sagar did not marry Sheela implies that she is neither a graduate nor a good cook.

answered 5 days ago in Mathematical Logic by Deepakk Poonia (Dee) Active (2.9k points) | 46 views

+1 vote

1 answer

40

Narsingh Deo Problem 2-28

answered 5 days ago in Graph Theory by Kushagra Chatterjee Junior (827 points) | 46 views

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