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Recent questions tagged settheory
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ISI2015MCQ7
Let X be the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Define the set R by R = {(x, y) ∈ X ×X : x and y have the same remainder when divided by 3}. Then the number of elements in R is (A) 40 (B) 36 (C) 34 (D) 33
asked
Jul 2
in
Set Theory & Algebra
by
suparna kar
(
12
points)

15
views
discretemathematics
settheory
0
votes
0
answers
Show that given relation is an equivalence relation?
asked
May 26
in
Set Theory & Algebra
by
iarnav
(
85
points)

7
views
equivalencerelation
settheory
relation
0
votes
1
answer
#DiscreteMaths Relationship between Equivalence classes of an equivalence relationship and partition of a set?
asked
May 23
in
Set Theory & Algebra
by
iarnav
(
85
points)

17
views
settheory
equivalencerelation
+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?
asked
Feb 3
in
Set Theory & Algebra
by
vishal burnwal
(
135
points)

113
views
settheory
0
votes
0
answers
Ace test series : Sets
asked
Jan 13
in
Set Theory & Algebra
by
Chirag Shilwant
(
181
points)

32
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.
asked
Jan 10
in
Set Theory & Algebra
by
priyesh9875
(
59
points)

36
views
aceacademytestseries
settheory
symmetric
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 $g^{20}$ ?
asked
Jan 9
in
Set Theory & Algebra
by
Sambhrant Maurya
(
403
points)

50
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 4
in
Set Theory & Algebra
by
vishal burnwal
(
135
points)

20
views
settheory
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
(
181
points)

32
views
discrete_maths
settheory
emptyset
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 $5$
asked
Dec 20, 2019
in
Set Theory & Algebra
by
Satbir
(
4.1k
points)

48
views
settheory
groups
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)

23
views
engineeringmathematics
settheory
0
votes
0
answers
Applied course test series : Sets and Relations
What is the correct answer for above question?
asked
Dec 13, 2019
in
Set Theory & Algebra
by
vishal burnwal
(
135
points)

18
views
settheory
0
votes
0
answers
ACE Mock Test Sets
Question: One quarter of 5 element subsets of {1,2,3,4,….n} contain 7, then n = ? My answer: $\frac{C(n1,4)}{C(n,5)} = \frac{1}{4} \Rightarrow n = 20$ Given answer: $\frac{C(n,4)}{C(n,5)} = \frac{1}{4} \Rightarrow n = 24$ I think I am correct because once we consider 7 as an element we can choose only 4 remaining elements, but can you please confirm the same?
asked
Dec 6, 2019
in
Linear Algebra
by
tamaldeepmaity
(
17
points)

10
views
engineeringmathematics
settheory
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)

32
views
settheory
equivalencerelation
0
votes
0
answers
Question from question bank of IIT
Suppose $A_{1},A_{2},\dots,A_{30}$ are thirty sets each with five elements and $B_{1},B_{2},\dots,B_{n}$ are $n$ sets each with three elements such that $\bigcup_{i=1}^{30}A_{i}=\bigcup_{j=1}^{n}B_{j}=S.$ If each element of $S$ belongs to exactly $10$ of the $A_{i}$'s and exactly $9$ of the $B_{j}$'s, then the value of $n$ is? 15 30 40 45
asked
Sep 28, 2019
in
Set Theory & Algebra
by
Lakshman Patel RJIT
(
116
points)

39
views
discrete_maths
settheory
0
votes
1
answer
Gatebook: Set Theory
Let is a partial order relation defined on natural numbers. Identify the false statement? (A). is distributive but not complemented lattice (B). is not a lattice (C). is not Boolean lattice (D). Element 1 doesn't have complement
asked
Sep 22, 2019
in
Mathematical Logic
by
Sambhrant Maurya
(
403
points)

39
views
settheory
discrete_maths
gatebook
0
votes
2
answers
Set Theory Practice Question
asked
Aug 11, 2019
in
Set Theory & Algebra
by
DukeThunders
(
417
points)

34
views
settheory
0
votes
0
answers
Set Practice Question
9) Let A = { a,b,c } and a relation on set A is defined as S = { (a,b) (b,c) (a,c) (c,c) (a,a) (b,a)} which of the following is true ? a) R Is equivalence relation b) R is Irreflexive relation ( or ) Antisymmetric c) R is Symmetric ( or ) ... but not (c,a). It's not asymmetric because it has a symmetric pair (a,b). False. (b,a), (a,b) present but not (b,b) Thank you.
asked
Aug 10, 2019
in
Mathematical Logic
by
DukeThunders
(
417
points)

19
views
settheory
0
votes
0
answers
Set Practice Question 1
Let A = { a,b,c,d } which of the following is not true ? a) R1 = { (a,a) (c,c) } is Symmetric, AntiSymmetric and Transitive on A b) R2 = { (a,b) (b,a) (a,c) (c,a) (c,d) } is Symmetric and AntiSymmetric c) R3 = { (b,c) ( ... a$\neq$b. True. It is symmetric but not antisymmetric True. It is antisymmetric, but not symmetric because (a,b) is present but not (b,a) Thank you.
asked
Aug 10, 2019
in
Set Theory & Algebra
by
DukeThunders
(
417
points)

10
views
settheory
0
votes
0
answers
Self Doubt: Set Theory
Which of the following is not a set? (multiple options may be correct) Set of all girls in a class Set of all boys in a class Set of all intelligent boys in a class Set of all boys of age > 10 Set of all boys of age < 10
asked
Aug 6, 2019
in
Set Theory & Algebra
by
Hirak
(
1.2k
points)

13
views
discrete_maths
settheory
0
votes
1
answer
Group Theory Book
Any standard book for group theory numericals?
asked
Jul 12, 2019
in
Set Theory & Algebra
by
aditi19
(
57
points)

43
views
#group
theory
settheory
0
votes
0
answers
GATE 2005  43
I had checked this link. The best answer uses the example of A={0,1,2},B={0,3,4,25},C={3,4,5} f={(0,3),(3,5),(4,4),(25,3)} g={(1,3),(2,4),(0,0)} Say we consider the same sets A,B and C and function g but change function f to the following, f={(0,3),(3,5 ... , h is now h={(0,3),(1,5),(2,3)} In this case, f is onto, g is not onto and h is not onto. So shouldn't the answer be option A ?
asked
Jul 6, 2019
in
Set Theory & Algebra
by
Chris Jason
(
10
points)

13
views
gate
function
settheory
0
votes
1
answer
Rosen 7e Exercise9.1 page no582 Relations
Relation R on set of all real numbers (x, y)$\epsilon$R where x=1 how this relation is transitive? please explain?
asked
Jun 26, 2019
in
Set Theory & Algebra
by
aditi19
(
57
points)

16
views
rosen
relation
equivalencerelation
settheory
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