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Recent questions and answers in Set Theory & Algebra
+1
vote
1
answer
Applied course test series : Cyclic group
$\{a^2,a^3,a^5,a^{13}\}$ $\{a^2,a^5,a^7,a^{13}\}$ $\{a^2,a^6,a^{10},a^{14}\}$ None of these How to solve the above question?
answered
Feb 3
in
Set Theory & Algebra
by
Shaik Masthan
(
622
points)

112
views
settheory
0
votes
0
answers
LatticeACE Test
For boolean algebra, lattice need to be complemented and distributive. What is complement (1,2), isnot (1,3) and (1,4) both?
asked
Feb 1
in
Set Theory & Algebra
by
srestha
(
683
points)

57
views
lattice
aceacademytestseries
+1
vote
1
answer
discrete math relation nd function
{(x,y);y=x^i ,Ǝi belong to Z is this relation reflexive ,irreflexive,symmetric,antisym,asym,transitive? Q2: x is brother of y …...is this relation is transitive? answer given as no but not getting why?
answered
Jan 29
in
Set Theory & Algebra
by
Sambhrant Maurya
(
401
points)

48
views
0
votes
0
answers
Mathematics ME Test series
Ques: What is the number of partition of X = {a, b, c, d, e, f} where a and c are always in same block?  15  52  203  None of these
asked
Jan 29
in
Set Theory & Algebra
by
kashyap02
(
26
points)

20
views
discrete_maths
madeeasytestseries
+1
vote
0
answers
Ace CS Pre Gate 2020
Is the function is 11 ? since for x=0 f(0)=0 there is no image in N. So I think it is not a 11 function but it is onto, Plz correct me if I'm wrong.
asked
Jan 25
in
Set Theory & Algebra
by
zohancs
(
13
points)

30
views
acepregatesettheory
0
votes
0
answers
Self Doubt: Previous GO Discrete Maths
Consider a binary function $g:P P→\{true,false\},$ where $P$ is a nonempty subset of the natural numbers that contains an even number of distinct elements. Which of the following statements can be true about $g$ ? $g$ is ... two equivalence classes $g$ defines a total order but not a partial order $g$ is reflexive and antisymmetric but not a surjection
asked
Jan 23
in
Set Theory & Algebra
by
Debapaul
(
699
points)

26
views
discrete_maths
0
votes
0
answers
Made Easy test series discrete mathematics group theory
asked
Jan 21
in
Set Theory & Algebra
by
Ram Swaroop
(
270
points)

28
views
madeeasytestseries
discrete_maths
#group
0
votes
0
answers
Self Doubt: Boolean Algebra
Say $x$ is an element in poset and $x=n^2$ where $n$ is an $interger$, then tat poset cannot be an $boolean$ $algebra$ Is it true? Does this means that every element in a boolean lattice must be square free?
asked
Jan 20
in
Set Theory & Algebra
by
Debapaul
(
699
points)

13
views
booleanalgebra
0
votes
0
answers
Applied course test series : Algebraic Structures
Let G be a finite group. S1: We can show that the number of elements in G of order greater than 2 must be even. S2: We can conclude that any group of even order must contain an element of order 2 Which of the above statements are correct?
asked
Jan 18
in
Set Theory & Algebra
by
Shubhranshu Maurya
(
8
points)

13
views
settheoryandalgebra
#discrete_maths
0
votes
0
answers
Ace test series : Sets
asked
Jan 12
in
Set Theory & Algebra
by
Chirag Shilwant
(
180
points)

28
views
settheory
engineeringmathematics
aceacademytestseries
0
votes
2
answers
Ace test series: Symmetric closure
What is symmetric closure of relation {(a,b)  a divides b} on integers? I feel it should be D. But answer given is B Why: Option A: Wrong Option B: It says ab OR ba. Suppose (0,1) is present but (1,0) is not present, then it will not be symmetric. Option C: Wrong Option D: It says ab AND ba both must be present.
answered
Jan 11
in
Set Theory & Algebra
by
kalra05
(
73
points)

33
views
aceacademytestseries
settheory
symmetric
0
votes
1
answer
MADE EASY SELF DOUBT : FLT 3 2020
Let $D_n$ represents the set of all positive divisors of $n$. Also $/$ stands for the usual divides relation. It is known that $(D_3$_3$_0$_*$_k,/)$ is a Boolean Algebra where is $k$ an integer. Which of the following cannot be a possible value of $k?$ 11 29 13 97
answered
Jan 10
in
Set Theory & Algebra
by
shashin
(
1.9k
points)

25
views
madeeasytestseries
0
votes
1
answer
Made Easy:Mock 1
Let G be a cyclic group of order 60. Let g be a generator of G. What is the order of the element $g^{20}$ ?
answered
Jan 9
in
Set Theory & Algebra
by
shashin
(
1.9k
points)

38
views
groups
settheory
0
votes
0
answers
Applied course test series : sets and theory
What is the total no of abelian groups (up to isomorphism) of order 4900 is _____. What will be the answer for above question.
asked
Jan 3
in
Set Theory & Algebra
by
vishal burnwal
(
135
points)

16
views
settheory
0
votes
0
answers
Self doubt : Boolean algebra
Can we have a Lattice with odd number of elements as a Boolean algebra? According to me we can't have because each element should have one complement and hence for odd number of elements one element would be remaining which will have no complement or more than one complement. Is this justification valid?
asked
Jan 2
in
Set Theory & Algebra
by
Chirag Shilwant
(
180
points)

9
views
booleanalgebra
discretemaths
selfdoubt
0
votes
0
answers
Set Theory : Self doubt
Consider a set A ={} then which of the following is true. 1. A is irreflexive. 2. A is reflexive. 3. A is neither reflexive nor irreflexive.
asked
Jan 2
in
Set Theory & Algebra
by
Chirag Shilwant
(
180
points)

32
views
discrete_maths
settheory
emptyset
0
votes
0
answers
Hasse Diagram Doubt
In case if we have edges in a Hasse Diagram what is significance of it? ANyone please clarify.
asked
Dec 31, 2019
in
Set Theory & Algebra
by
Shivateja MST
(
113
points)

17
views
discrete_maths
hassediagram
0
votes
0
answers
Mathematics Group Theory Abelian Group
If we consider a group (G,*) and consider two elements g and f that belongs to G then how can we define (g * f)^3? Is it like (g * f)(g * f )(g * f)? Anyone please clarify,
asked
Dec 31, 2019
in
Set Theory & Algebra
by
Shivateja MST
(
113
points)

20
views
discrete_maths
groups
engineeringmaths
0
votes
1
answer
Made Easy test series discrete mathematics group
Assume g is an element of the group G. Consider the following conditions of g with e as identity element. $g^8 = e$ $g^2 \neq e$ Order of g is not 8. Find the order of g. Answer 4 how
answered
Dec 27, 2019
in
Set Theory & Algebra
by
Mk Utkarsh
(
505
points)

18
views
madeeasytestseries
discrete_maths
#group
0
votes
1
answer
Discrete Maths : Self Doubt
Is Set of all real numbers under division operation a poset ?
answered
Dec 26, 2019
in
Set Theory & Algebra
by
Deepakk Poonia (Dee)
(
681
points)

30
views
discrete_maths
0
votes
0
answers
Discrete Maths
What if I have a function "X" and it's inverse "Y" can I guaranteed say that the function X is bijective? Or in simple terms can I say inverse of a function exists if and only if it's bijective?
asked
Dec 24, 2019
in
Set Theory & Algebra
by
Peter Smith
(
7
points)

21
views
discretemaths
discrete_maths
engineeringmaths
0
votes
0
answers
Onto functions
The number of onto function possible from set A={1,2,3,4,5,6} to set B={a,b,c,d} Such that f(1)=a and f(2) is not b?
asked
Dec 23, 2019
in
Set Theory & Algebra
by
Peter Smith
(
7
points)

13
views
discrete_maths
engineeringmaths
functions
0
votes
0
answers
Maths determinants query
respected Sir/ Mam, can we directly find the determinant of 3*3 matrix in gate exam using virtual calculator by just inserting all the 9 elements? I couldn’t find the answer on google. Many thanks in advance.
asked
Dec 21, 2019
in
Set Theory & Algebra
by
sd.ins
(
6
points)

8
views
0
votes
1
answer
Applied gate grand test 3 set theory
Suppose the number of elements in a group $G$ of order $5$ is $28$. Determine the number of distinct subgroups of G of order $5$
[closed]
answered
Dec 20, 2019
in
Set Theory & Algebra
by
शिवम जुयाल
(
195
points)

46
views
settheory
groups
0
votes
0
answers
Lattice: ACE test
Which one of the following is true? S1: In a lattice L , if each element has atmost one complement, then L is a distributive lattice. S2: A sublattice of complemented lattice is also complemented
asked
Dec 18, 2019
in
Set Theory & Algebra
by
srestha
(
683
points)

19
views
lattice
0
votes
1
answer
Made easy test series question
the number of pairs of set (X,Y) are there that satisfy the condition X,Y subset of {1,2,3,4,5,6} and X intersection Y= Null
answered
Dec 17, 2019
in
Set Theory & Algebra
by
Satbir
(
4.1k
points)

24
views
0
votes
0
answers
MOCK TEST ACE
Let [A;R] is a totally ordered set with n elements (n>2). If [A;R] is a Boolean Algebra then n = ?
asked
Dec 15, 2019
in
Set Theory & Algebra
by
tamaldeepmaity
(
17
points)

17
views
engineeringmathematics
settheory
0
votes
1
answer
Maths Group Theory
Let P(S) denote the power set of a non empty setS.A binary operation * is defined by A*B=(AB) U (BA). The set P(S) with respect to the binary operation * is______ a semigroup but not monoid a monoid but nota group a group not a semigroup Anyone please clarify I am getting d as the answer.
answered
Dec 14, 2019
in
Set Theory & Algebra
by
Gokulgoku
(
9
points)

21
views
discrete_maths
groups
0
votes
0
answers
Full Length Mock Test11 Test 52 Q22
asked
Dec 13, 2019
in
Set Theory & Algebra
by
DukeThunders
(
415
points)

8
views
0
votes
0
answers
Applied course test series : Sets and Relations
What is the correct answer for above question?
asked
Dec 12, 2019
in
Set Theory & Algebra
by
vishal burnwal
(
135
points)

16
views
settheory
0
votes
0
answers
Maths Group theory
Let G= {a,b,c}.The incomplete composition table of the group (G,*) is given below. * a b c a __ __ __ b __ b __ c __ __ __ The last row of the composition table is ____ a c b b a c b c a c a b Anyone please explain how to solve such question since no conditions are given.
asked
Dec 9, 2019
in
Set Theory & Algebra
by
Shivateja MST
(
113
points)

6
views
discrete_maths
groups
0
votes
0
answers
madeeasy set theory
What is the meaning of symmetric relations are closed under complementation ..?Please cite an example..
asked
Dec 9, 2019
in
Set Theory & Algebra
by
TUSHAR_BHATT
(
18
points)

10
views
madeeasytestseries
0
votes
0
answers
#test series lattice
Q.Let S=(0,1) and defined the partial order relation on R S*S as follows ((a,b)R(c,d) if (a<c)or(a=c and b<=d)) Draw hasse digram
asked
Dec 7, 2019
in
Set Theory & Algebra
by
amit166
(
139
points)

5
views
madeeasytestseries
0
votes
0
answers
Made easy test series : Set theory and relations
Let R be an equivalence relation on a set S with n equivalence classes S1, S2, …., Sn such that Then the cardinality of R when n = 5, is equal to _________. Plz can someone explain the question.
asked
Dec 6, 2019
in
Set Theory & Algebra
by
vishal burnwal
(
135
points)

38
views
madeeasytestseries
0
votes
0
answers
#disctete math function
Q.Let f(x) be a polynomial and g(x)=f'(x) be its derivatives . if the degree of (f(x)+f(x)) is 10, then degree of (g(x)+g(x)) is_________.
asked
Dec 4, 2019
in
Set Theory & Algebra
by
amit166
(
139
points)

4
views
function
questions
0
votes
0
answers
ACE GATE Mock Test 11 Q22 Subset
Ans is 24. How to solve it.
asked
Dec 4, 2019
in
Set Theory & Algebra
by
DukeThunders
(
415
points)

13
views
0
votes
0
answers
ME Testseries doubtDiscrete maths
“A complemented Lattice is a proper subset of bounded lattice” Is this true /false. I think it is false because a bounded lattice can itself be a complemented lattice.(It need not only be a proper subset of it)
asked
Dec 4, 2019
in
Set Theory & Algebra
by
Doraemon
(
100
points)

9
views
0
votes
0
answers
Equivalence classes
How to find the number of equivalence classes of relations? I have seen this video https://www.youtube.com/watch?v=CmZzZsaof8g, but still I can’t understand this question https://gateoverflow.in/2760/gate19968.
asked
Dec 1, 2019
in
Set Theory & Algebra
by
nadeshseen
(
43
points)

22
views
settheory
equivalencerelation
0
votes
0
answers
PREVIOUS YEAR 1987 9F UNSOLVED
https://gateoverflow.in/82449/gate19879f PLEASE SEE THIS……..
asked
Nov 23, 2019
in
Set Theory & Algebra
by
eyeamgj
(
40
points)

14
views
0
votes
0
answers
#Lattice#Discrete_Mathematics
https://csedoubts.gateoverflow.in/?qa=blob&qa_blobid=8018894368000379347 I think 3 is also not lattice. As d and e do not have join semilattice. Am I wrong?
asked
Nov 14, 2019
in
Set Theory & Algebra
by
nandani17
(
33
points)

23
views
#discrete_maths
#lattice
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