Recent questions and answers in Engineering Mathematics

+12 votes

4 answers

1

GATE2008-IT-28
Consider the following Hasse diagrams. Which all of the above represent a lattice? (i) and (iv) only (ii) and (iii) only (iii) only (i), (ii) and (iv) only

answered 4 hours ago in Set Theory & Algebra by sutanay3 Active (2.2k points) | 2.2k views

0 votes

1 answer

2

Sir i am first year ug student plese help me what to concentrate for gate from 1st year

answered 6 hours ago in Mathematical Logic by hitendra singh (219 points) | 21 views

0 votes

2 answers

3

Sets and relations
If A is a set of positive odd elements less than 10. Then what is the cardinality of set A?

answered 11 hours ago in Set Theory & Algebra by aditi19 (221 points) | 68 views

0 votes

1 answer

4

Propositional Logic
Ans. A

answered 12 hours ago in Mathematical Logic by imnitish Junior (661 points) | 8 views

0 votes

1 answer

5

self doubt
What will be lower bound of {g}

answered 13 hours ago in Set Theory & Algebra by aditi19 (221 points) | 10 views

+5 votes

2 answers

6

ISI2004-MIII
The equation $\frac{1}{3}+\frac{1}{2}s^{2}+\frac{1}{6}s^{3}=s$ has exactly three solution in $[0.1]$ exactly one solution in $[0,1]$ exactly two solution in $[0,1]$ no solution in $[0,1]$

answered 14 hours ago in Set Theory & Algebra by sutanay3 Active (2.2k points) | 120 views

0 votes

1 answer

7

Types of Functions
A and B are finite sets True or False 1) F:A-->B is one to one then F is Onto , where |A| = |B| 2) F:A-->A is one to one then F is Onto , where F is function on same set

answered 15 hours ago in Set Theory & Algebra by Rishav Kumar Singh Active (2.5k points) | 13 views

0 votes

1 answer

8

Combination with repetition allowed
Ans. 0

answered 18 hours ago in Mathematical Logic by Vikas Verma Junior (963 points) | 25 views

0 votes

0 answers

9

Lattice
Ans. C

asked 19 hours ago in Mathematical Logic by Na462 Active (4.6k points) | 12 views

0 votes

0 answers

10

B-tech
Symmetrical question

asked 19 hours ago in Linear Algebra by S. Sindhu (7 points) | 9 views

0 votes

2 answers

11

Propositional Logic
Ans. B

answered 20 hours ago in Mathematical Logic by arvin Active (3.5k points) | 12 views

+1 vote

1 answer

12

Combinations and Permutations
In how many ways can 12 different books be parceled into 4 packets so that 3 of the packets contain 3 books each and one of them two books atleast, if all the packets have the same destination?

answered 20 hours ago in Combinatory by arvin Active (3.5k points) | 62 views

0 votes

0 answers

13

Countability and Well Ordering
Is there any relation between countability and well ordering? I mean if a set is well ordered, does it have any influence on it being countable and vice versa?

asked 22 hours ago in Set Theory & Algebra by Lakshay Kakkar Junior (977 points) | 5 views

0 votes

1 answer

14

Nested quantifiers
Let domain be set of all fruits. Represent the following English statement into logic. 1)There are exactly 2 apple. S1:∃x∃y[A(x)⋀A(y)⋀(x≠y)⋀∀z(A(z)→(x=z⋁y=z)] S2: ∃x∃y[A(x)⋀A(y)⋀x≠y]⋀~∃x∃y∃z[A(x)⋀A(y)∧A(z)⋀x≠y∧y≠z⋀z≠x] where A(m)= m is an apple Is S1↔S2 ? If yes then how can u convert S2 into S1 using negating quantifier predicates

answered 1 day ago in Mathematical Logic by arvin Active (3.5k points) | 12 views

0 votes

0 answers

15

Eigen vector

asked 2 days ago in Mathematical Logic by Shivangi Parashar 2 (41 points) | 11 views

0 votes

0 answers

16

Eigen vector

asked 2 days ago in Mathematical Logic by Shivangi Parashar 2 (41 points) | 15 views

0 votes

1 answer

17

Gate 2015 CE set 2
The two eigen values of the matrix $\begin{bmatrix} 2 & 1\\ 1& p \end{bmatrix}$ have a ratio of 3:1 for p= 2. What is another value of p for which eigenvalues have the same ratio of 3:1? A)-2 b) 1 c) 7/3 d)14/3

answered 2 days ago in Linear Algebra by MiNiPanda Loyal (8.6k points) | 13 views

+2 votes

2 answers

18

Permutations with restrictions
$Z =\left \{ {A,B,C,D,E,F,G} \right \}$ How many permutations of all elements of set $Z$ are possible when A cannot appear after D and C cannot appear after F C cannot appear after D

answered 2 days ago in Combinatory by aditi19 (221 points) | 64 views

0 votes

0 answers

19

Eigen vector
Is it true that if we have 3 distinct eigen vectors x,y and z than x,y and z would respectively be orthogonal to each other .Please elaborate

asked 2 days ago in Linear Algebra by Shivangi Parashar 2 (41 points) | 14 views

0 votes

1 answer

20

Graph theory
In tree for every pair of vertices u!=v in G their is exactly 1 path from u to v .Please help me to prove this

answered 2 days ago in Graph Theory by goxul Active (1.1k points) | 21 views

0 votes

1 answer

21

State True/False
1. If f is bijective function then f-1 is also bijective function. 2. If f is surjective function then f-1 is a function but not surjective. 3. Inverse of a function 'f' is a function only when it is bijective. 4. If a relation R: X->Y is left total, then it must be a function.

answered 2 days ago in Set Theory & Algebra by shubham6596 (163 points) | 15 views

0 votes

1 answer

22

Gate 2016 ME Set 2
The condition for which the eigen values of the matrix A = $\begin{pmatrix} 2 &1 \\ 1& k \end{pmatrix}$ are positive, is a) k>1/2 b) k>-2 c) k>0 d) k< -1/2

answered 2 days ago in Linear Algebra by Prince Sindhiya Active (2.2k points) | 15 views

0 votes

1 answer

23

Gate 2016 CE Set 1
If the entries in each column of a square matrix M add up to 1, then an eigen value of M is A) 4 B) 3 C) 2 D) 1

answered 2 days ago in Linear Algebra by Shivani gaikawad (367 points) | 33 views

+1 vote

1 answer

24

TIFR-2011-Maths-A-22
There exists a group with a proper subgroup isomorphic to itself.

answered 2 days ago in Set Theory & Algebra by ami (23 points) | 76 views

0 votes

1 answer

25

made easy ME previou year question
which on of the following is an eigenvector of the matrix [5 0 0 0 0 5 5 0 0 0 2 1 0 0 3 1] a) [1 -2 0 0 ]t b) [0 0 1 0]t c) [1 0 0 -2]t d) [1 -1 2 1]t

answered 2 days ago in Linear Algebra by Prince Sindhiya Active (2.2k points) | 17 views

0 votes

0 answers

26

Kenneth Rosen: Algeraic structure
https://gateoverflow.in/?qa=blob&qa_blobid=8621402344393100507 I am not able to understand How both structure have same signature? Two algebras are of same signature if they have same number of operations and same number of constants and also corresponding operations are of same arity.

asked 3 days ago in Mathematical Logic by Sandy Sharma Junior (677 points) | 6 views

0 votes

0 answers

27

Combinatorics
There are 100 students. 85 choose Math, 80 choose Physics, 75 choose Chemistry, 70 choose Biology. What is the minimum number of students choosing all 4 subjects? Assume each student chosen at least one subject?

asked 3 days ago in Combinatory by aditi19 (221 points) | 16 views

0 votes

0 answers

28

Relations and lattice
1. Every complemented lattice is distributed 2. Every Distributed lattice is complemented 3.Every Distributive lattice is bounded 4 .Every complemented lattice is bounded True or false

asked 3 days ago in Mathematical Logic by jatin khachane 1 (323 points) | 8 views

0 votes

0 answers

29

expectation doubt
Given a stick with n joints. The stick is dropped from certain height. During the fall, each joint breaks with probability p independent of other joints. What is the expected number of pieces into which the stick breaks ? Also, what is expected number of substicks of length =3.

asked 3 days ago in Probability by parulk Junior (529 points) | 18 views

0 votes

2 answers

30

Boolean algebra theorem(Lattices)
THEOREM:- The Poset $[D_{n};/] $ is a boolean algebra iff 'n' is a square-free number. If the Poset $[D_{n};/] $ is a boolean algebra then compliment of $x = \frac{n}{x} \forall x\epsilon D_{n}$ Please explain this theorem?? and following question Q)Which of the following is not a ... A) [ D_{110};/ ] $ $ B) [ D_{91};/ ] $ $ C) [ D_{45};/ ]$ $ D) [ D_{64};/ ]$

answered 3 days ago in Set Theory & Algebra by K_Nishant (75 points) | 153 views

+11 votes

3 answers

31

GATE2008-23
Which of the following statements is true for every planar graph on $n$ vertices? The graph is connected The graph is Eulerian The graph has a vertex-cover of size at most $\frac{3n}{4}$ The graph has an independent set of size at least $\frac{n}{3}$

answered 4 days ago in Graph Theory by Pratik Gawali (107 points) | 1.7k views

+7 votes

3 answers

32

TIFR2015-A-11
Suppose that $f(x)$ is a continuous function such that $0.4 \leq f(x) \leq 0.6$ for $0 \leq x \leq 1$. Which of the following is always true? $f(0.5) = 0.5$. There exists $x$ between $0$ and $1$ such that $f(x) = 0.8x$. There exists $x$ between $0$ and $0.5$ such that $f(x) = x$. $f(0.5) > 0.5$. None of the above statements are always true.

answered 4 days ago in Calculus by Gyanu (31 points) | 316 views

+1 vote

1 answer

33

Rosen book Generating Functions pg no 430

answered 4 days ago in Combinatory by shubham6596 (163 points) | 19 views

0 votes

0 answers

34

GATE-2018-ECE
Let M be a real 4 × 4 matrix. Consider the following statements : S1 : M has 4 linearly independent eigenvectors. S2 : M has 4 distinct eigenvalues. S3 : M is non-singular (invertible). Whict one among the following is TRUE? (a) S1 implies S2 (b) S2 implies S1 (c) S1 implies S3 (d) S3 implies S2 Note: Plz explain in detail why other options are incorrect.

asked 4 days ago in Set Theory & Algebra by Manish11102 (31 points) | 9 views

0 votes

1 answer

35

Rosen Ch9.6
Determine whether each of these posets is well-ordered. (Q ∩[0, 1], ≤) (the set of rational numbers between 0 and 1 inclusive) The answer is not well ordered because as it doesn't have any unique least element as 0 can be expressed in p/q forms like (0/12,0/23,0/234). All are representing zero but there is no unique among them. Is this the reason here? Please confirm

answered 4 days ago in Set Theory & Algebra by rajatmyname Junior (969 points) | 12 views

0 votes

0 answers

36

Probability
Parcels from sender to receiver pass sequentially through 2 post office.Each post office has a probability 1/5 of loosing an incoming parcel,independently of all other parcels.Given that a parcel is lost, the probabilty that it was lost by the second post office is....?? [closed]

asked 5 days ago in Probability by vnk572 (7 points) | 24 views

+1 vote

0 answers

37

Descrete math
Which of the following is true ?

asked 5 days ago in Mathematical Logic by Prince Sindhiya Active (2.2k points) | 49 views

0 votes

0 answers

38

Gate-2016
A 3×3 matrix p is such that,p^3=p. Then eigen values of p are

asked 5 days ago in Linear Algebra by lg (33 points) | 15 views

0 votes

1 answer

39

me test
A simple graph with n vertices is constructed by randomly and independently placing an edge between every two vertices with probability p. What is the expected no. of nodes with degree 2?

answered 5 days ago in Graph Theory by MansiS (83 points) | 31 views

+1 vote

3 answers

40

made easy test series
What is the number of partition of X={a,b,c,d,e,f}.where 'a' and 'c' are always in same block?

answered 5 days ago in Mathematical Logic by Vikas Verma Junior (963 points) | 74 views

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