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Recent questions tagged sets
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1
ISI2014DCG5
Consider the sets defined by the real solutions of the inequalities $A = \{(x,y):x^2+y^4 \leq 1\} \:\:\:\:\:\:\: B=\{(x,y):x^4+y^6 \leq 1\}$ Then $B \subseteq A$ $A \subseteq B$ Each of the sets $A – B, \: B – A$ and $A \cap B$ is nonempty none of the above
asked
Sep 23
in
Calculus
by
Arjun
Veteran
(
425k
points)

79
views
isi2014dcg
calculus
functions
sets
0
votes
1
answer
2
ISI2015DCG35
Let $A$, $B$ and $C$ be three non empty sets. Consider the two relations given below: $\begin{array}{lll} A(BC)=(AB) \cup C & & (1) \\ A – (B \cup C) = (A B)C & & (2) \end{array}$ Both $(1)$ and $(2)$ are correct $(1)$ is correct but $(2)$ is not $(2)$ is correct but $(1)$ is not Both $(1)$ and $(2)$ are incorrect
asked
Sep 18
in
Set Theory & Algebra
by
gatecse
Boss
(
16.8k
points)

8
views
isi2015dcg
settheory
sets
0
votes
0
answers
3
ISI2016DCG35
Let $A,B$ and $C$ be three non empty sets. Consider the two relations given below: $A(BC)=(AB)\cup C$ $A(B\cup C)=(AB)C$ Both (1) and (2) are correct. (1) is correct but (2) is not. (2) is correct but (1) is not. Both (1) and (2) are incorrect.
asked
Sep 18
in
Set Theory & Algebra
by
gatecse
Boss
(
16.8k
points)

7
views
isi2016dcg
settheory
sets
0
votes
1
answer
4
ISI2017DCG12
Two sets have $m$ and $n$ elements. The number of subsets of the first set is $96$ more than that of the second set. Then the values of $m$ and $n$ are $8$ and $6$ $7$ and $6$ $7$ and $5$ $6$ and $5$
asked
Sep 18
in
Set Theory & Algebra
by
gatecse
Boss
(
16.8k
points)

6
views
isi2017dcg
settheory
sets
+1
vote
1
answer
5
ISI2018DCG5
Let $A$ be the set of all prime numbers, $B$ be the set of all even prime numbers, and $C$ be the set of all odd prime numbers. Consider the following three statements in this regard: $A=B\cup C$. $B$ ... statements is true. Exactly one of the above statements is true. Exactly two of the above statements are true. All the above three statements are true.
asked
Sep 18
in
Set Theory & Algebra
by
gatecse
Boss
(
16.8k
points)

19
views
isi2018dcg
settheory
sets
primenumbers
+1
vote
2
answers
6
ISI2018DCG7
You are given three sets $A,B,C$ in such a way that the set $B \cap C$ consists of $8$ elements, the set $A\cap B$ consists of $7$ elements, and the set $C\cap A$ consists of $7$ elements. The minimum number of elements in the set $A\cup B\cup C$ is $8$ $14$ $15$ $22$
asked
Sep 18
in
Set Theory & Algebra
by
gatecse
Boss
(
16.8k
points)

34
views
isi2018dcg
settheory
sets
+5
votes
2
answers
7
GATE199525b
Determine the number of positive integers $(\leq 720)$ which are not divisible by any of $2,3$ or $5.$
asked
Jun 6
in
Set Theory & Algebra
by
Arjun
Veteran
(
425k
points)

309
views
gate1995
settheory&algebra
numericalanswers
sets
0
votes
0
answers
8
Rosen 7e Exercise9.6 Question no27 page no631
What is the covering relation of the partial ordering {(A, B)  A ⊆ B} on the power set of S, where S = {a, b, c}? i'm getting R={(Ф, {a}), (Ф, {b}), (Ф, {c}), (Ф, {a, b}), (Ф, {b, c}), (Ф, {a, c}), (Ф, {a, b, c}), ({a}, {a, b}), ({a}, {a, c}), ({b}, ... b, c}), ({c}, {a, c}), ({c}, {b, c}), ({a, b}, {a, b, c}), ({a, c}, {a, b, c})({b, c}, {a, b, c})
asked
May 10
in
Set Theory & Algebra
by
aditi19
Active
(
5.1k
points)

67
views
kennethrosen
discretemathematics
relations
settheory&algebra
settheory
sets
+1
vote
0
answers
9
Which Statement is correct for the given sets statements
If A, B, C are three sets then which of the following is TRUE ? If ( A ∩ C ) = ( B ∩ C ) then A = B If ( A ∪ C ) = ( B ∪ C ) then A = B If ( A 𝜟 C ) = ( B 𝜟 C ) then A = B If ( A – C ) = ( B – C ) then A = B
asked
May 10
in
Set Theory & Algebra
by
pranay91331
(
65
points)

57
views
settheory&algebra
sets
discretemathematics
0
votes
1
answer
10
Self doubt group theory
Is (Z+,>=) a well oerderd set ,plz explain.
asked
Apr 17
in
Set Theory & Algebra
by
Manoj Kumar Pandey
(
157
points)

55
views
sets
0
votes
1
answer
11
Michael Sipser Edition 3 Exercise 0 Question 5 (Page No. 26)
If C is a set with c elements, how many elements are in the power set of C? Explain your answer.
asked
Apr 13
in
Theory of Computation
by
Lakshman Patel RJIT
Veteran
(
54.8k
points)

32
views
michaelsipser
theoryofcomputation
sets
easy
0
votes
1
answer
12
Michael Sipser Edition 3 Exercise 0 Question 4 (Page No. 26)
If A has a elements and B has b elements, how many elements are in A × B? Explain your answer.
asked
Apr 13
in
Theory of Computation
by
Lakshman Patel RJIT
Veteran
(
54.8k
points)

23
views
michaelsipser
theoryofcomputation
sets
easy
0
votes
0
answers
13
Michael Sipser Edition 3 Exercise 0 Question 3 (Page No. 26)
Let A be the set {x, y, z} and B be the set {x, y}. a. Is A a subset of B? b. Is B a subset of A? c. What is A ∪ B? d. What is A ∩ B? e. What is A × B? f. What is the power set of B?
asked
Apr 13
in
Theory of Computation
by
Lakshman Patel RJIT
Veteran
(
54.8k
points)

18
views
michaelsipser
theoryofcomputation
sets
easy
+1
vote
1
answer
14
Gateforum Test Series: Set Theory & Algebra  Sets
asked
Jan 9
in
Set Theory & Algebra
by
Gupta731
Active
(
4.7k
points)

92
views
gateforumtestseries
settheory&algebra
sets
0
votes
0
answers
15
Zeal Test Series 2019: Set Theory & Algebra  Sets
asked
Dec 22, 2018
in
Set Theory & Algebra
by
Prince Sindhiya
Loyal
(
5.7k
points)

101
views
discretemathematics
settheory&algebra
sets
zeal
zeal2019
+3
votes
6
answers
16
TIFR2019A1
Let $X$ be a set with $n$ elements. How many subsets of $X$ have odd cardinality? $n$ $2^n$ $2^{n/2}$ $2^{n1}$ Can not be determined without knowing whether $n$ is odd or even
asked
Dec 18, 2018
in
Set Theory & Algebra
by
Arjun
Veteran
(
425k
points)

574
views
tifr2019
engineeringmathematics
discretemathematics
settheory&algebra
sets
+1
vote
1
answer
17
Testbook Test Series: Set Theory & Algebra  Sets
Given that Y= {3,10,16}. Find the number of multiset possible with cardinality 5.
asked
Dec 9, 2018
in
Set Theory & Algebra
by
Rajat Agrawal007
Junior
(
665
points)

93
views
testbooktestseries
discretemathematics
sets
0
votes
1
answer
18
Set Theory
A relation R on a set of positive integers is defined by (a,b) belongs to R iff a and b are relatively prime. Which of the following is true about R? a. Symmetric and Reflexive b. Symmetric and irreflexive c.Symmetric and transitive d. Symmetric and not transitive The Ans is given as (d) but I think (b) is true. Any thoughts?
asked
Nov 8, 2018
in
Set Theory & Algebra
by
dan31
Junior
(
883
points)

85
views
discretemathematics
settheory&algebra
settheory
engineeringmathematics
sets
0
votes
0
answers
19
Virtual Gate Test Series: Discrete Mathematics  Set Theory & Algebra
asked
Oct 16, 2018
in
Set Theory & Algebra
by
Prince Sindhiya
Loyal
(
5.7k
points)

75
views
discretemathematics
settheory&algebra
sets
virtualgatetestseries
+2
votes
1
answer
20
Set(Problem Related to Subset)
Which of the following is not a subset of $P(P(P(\phi)))$? $A)$ {$\phi$} $B)$ { {$\phi$} } $C)$ { {$\phi$} , { {$\phi$} } } $D)$ { { { {$\phi$} } } }
asked
Oct 5, 2018
in
Set Theory & Algebra
by
Lakshman Patel RJIT
Veteran
(
54.8k
points)

144
views
discretemathematics
settheory&algebra
sets
+1
vote
0
answers
21
Ace booklet questions no 07
If A∆B = (A intersection B) whole complement than the universal set is??
asked
Sep 18, 2018
in
Set Theory & Algebra
by
Anjali2002
(
11
points)

34
views
acebooklet
settheory&algebra
engineeringmathematics
sets
0
votes
1
answer
22
ISI2016MMA13
Which one of the following statements is correct regarding the elements and subsets of the set $\{1, 2, \{1, 2, 3\}\}$? $\{1, 2\} \in \{1, 2, \{1, 2, 3\} \}$ $\{1, 2\} \subseteq \{1, 2, \{1, 2, 3\} \}$ $\{1, 2, 3\} \subseteq \{1, 2, \{1, 2, 3\} \}$ $3 \in \{1, 2, \{1, 2, 3\} \}$
asked
Sep 13, 2018
in
Set Theory & Algebra
by
jothee
Veteran
(
105k
points)

12
views
isi2016mmamma
settheory
sets
subsets
+1
vote
1
answer
23
Set theory
What will be Cardinality of Cartesian product of a non empty set with a set containing element phi? A={1,2,3} and B={Phi} Than A*B will be 0.
asked
Sep 2, 2018
in
Mathematical Logic
by
Ayan21
(
79
points)

36
views
discretemathematics
settheory&algebra
sets
0
votes
1
answer
24
Relations
What is the smallest binary relation possible from A to B? Is it Null Set? If so, how is it possible relations are subsets of AxB (cartesian product) and if AxB is not supposed to be containing a Null Set.
asked
Aug 22, 2018
in
Set Theory & Algebra
by
superak96
(
339
points)

43
views
sets
relations
discretemathematics
+1
vote
2
answers
25
Doubts
1. What is the Difference Between Range and Co domain of Function ? 2.If i say a function is one to one , onto , bijection what does it actually tell about the function is there any significance or they are just types of function ? 3. when i say ... domain then what's the problem because we can never attain that image because there exist no pre image so how does it effect its range ?
asked
May 30, 2018
in
Mathematical Logic
by
Na462
Loyal
(
6.9k
points)

84
views
engineeringmathematics
discretemathematics
functions
sets
settheory&algebra
0
votes
1
answer
26
Set Theory
How to distinguish between countably finite , countably infinite , uncountably infinite set? for reference see this ques:https://gateoverflow.in/36654/whysetofallfunctionsfn01isuncountablyinfinite
asked
May 15, 2018
in
Set Theory & Algebra
by
srestha
Veteran
(
117k
points)

298
views
discretemathematics
settheory&algebra
settheory
sets
engineeringmathematics
+1
vote
1
answer
27
Proper subset and subset
Please solve this question along with explanation.
asked
May 1, 2018
in
Mathematical Logic
by
saumya mishra
Junior
(
959
points)

139
views
sets
+1
vote
1
answer
28
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 $m \leq n$.
asked
Apr 16, 2018
in
Set Theory & Algebra
by
dd
Veteran
(
57k
points)

404
views
sets
linearalgebra
combinatoricsiitb
0
votes
1
answer
29
Group theory
Let $G$ be a finite group with sub group $H$ & $K$ such that $H=7$ and $K=31$ then find $ H ⋂ K$
asked
Mar 6, 2018
in
Set Theory & Algebra
by
Deepesh Pai
(
403
points)

100
views
engineeringmathematics
settheory&algebra
sets
+1
vote
2
answers
30
UGC NET DEC 2012 PAPER II Q4
4. The power set of the set {ϕ} is (A) {ϕ} (B) {ϕ, {ϕ}} (C) {0} (D) {0, ϕ, {ϕ}}
asked
Feb 5, 2018
in
Set Theory & Algebra
by
kavikeve
(
393
points)

368
views
ugcnetdec2012ii
settheory&algebra
sets
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