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Recent questions tagged set-theory
4
votes
1
answer
1
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 62
As a refresher, if $R$ is an equivalence relation over a set $A$ and $x \in A$, then the equivalence class of $\boldsymbol{x}$ in $\boldsymbol{R}$, denoted $[x]_R,$ is the set $ [x]_R=\{y \in A \mid x R y\} $ Let's now introduce some ... $\mathrm{I}(\mathrm{R})=n / 2$ and $\mathrm{W}(\mathrm{R})=n / 2$
GO Classes
asked
in
Set Theory & Algebra
Jan 28
by
GO Classes
451
views
goclasses2024-mockgate-13
goclasses
set-theory&algebra
set-theory
relations
equivalence-class
2-marks
8
votes
1
answer
2
GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 12
Let $A-B$ denote $\{x \in A: x \notin B\}$. If $(A-B) \cup B=A$, which of the following must be true? $B$ is empty $A \subseteq B$ $B \subseteq A$ $(B-A) \cup A=B$
GO Classes
asked
in
Set Theory & Algebra
Jan 13
by
GO Classes
573
views
goclasses2024-mockgate-11
goclasses
set-theory&algebra
set-theory
1-mark
0
votes
1
answer
3
GATE 2018 | MATHS | Q-40
Which one of the following statements is true? (A) Every group of order 12 has a non-trivial proper normal subgroup (B) Some group of order 12 does not have a non-trivial proper normal subgroup (C) Every group of order 12 has a subgroup of order 6 (D) Every group of order 12 has an element of order 12
rajveer43
asked
in
Set Theory & Algebra
Jan 11
by
rajveer43
96
views
set-theory
1
vote
0
answers
4
GATE 2019 | maths | set theory
Consider the following statements: I.The set $ \mathbb{R} $ is uncountable. II.The set $ \{ f : f \text{ is a function from } \mathbb{N} \text{ to } \{0, 1\} \} $ is uncountable. III.The set $ \{ p : p \text{ is a prime number} \} $ is uncountable. ... of the above statements are TRUE? (A)] I and IV only (B) II and IV only (C) II and III only (D) I, II, and IV only
rajveer43
asked
in
Set Theory & Algebra
Jan 10
by
rajveer43
60
views
set-theory
0
votes
0
answers
5
GATE 2021 | MATHS | Q-20
Let $ f: \left( -\frac{\pi}{2}, \frac{\pi}{2} \right) \to \mathbb{R} $ be given by $ f(x) = \frac{\pi}{2} + x - \tan^{-1}(x) $. Consider the following statements: $P:$ $ |f(x) - f(y)| < |x - y| $ ... Then the correct option is: (A) both P and Q are TRUE (B) P is TRUE and Q is FALSE (C) P is FALSE and Q is TRUE (D) both P and Q are FALSE
rajveer43
asked
in
Set Theory & Algebra
Jan 10
by
rajveer43
50
views
functions
set-theory
0
votes
1
answer
6
GATE 2023 | Maths | Sample Ques for CS-IT
Let \(G\) be an abelian group and \(\Phi: G \rightarrow (\mathbb{Z}, +)\) be a surjective group homomorphism. Let \(1 = \Phi(a)\) for some \(a \in G\). Consider the following statements: \(P\): For every \(g \in G\), there exists an \(n \in \ ... following statements is/are correct? (A) \(P\) is TRUE (B) \(P\) is FALSE (C) \(Q\) is TRUE (D) \(Q\) is FALSE
rajveer43
asked
in
Set Theory & Algebra
Jan 10
by
rajveer43
58
views
set-theory
discrete-mathematics
1
vote
1
answer
7
Made Easy
What is meant by refinement that has been asked in this following question?
Rohit Chakraborty
asked
in
Set Theory & Algebra
Oct 6, 2023
by
Rohit Chakraborty
385
views
made-easy-test-series
discrete-mathematics
set-theory
0
votes
1
answer
8
Discrete Mathematics | Set Theory | Equivalent Relation
Debargha Mitra Roy
asked
in
Set Theory & Algebra
Sep 24, 2023
by
Debargha Mitra Roy
172
views
discrete-mathematics
set-theory
0
votes
0
answers
9
Set Theory
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
Aug 28, 2023
by
Çșȇ ʛấẗẻ
98
views
set
set-theory
0
votes
1
answer
10
let a = {2,4,6,8} suppose b is a set with |b| = 5 what are the smallest and largest possible values of |A*B|
ayushjain321
asked
in
Others
Jun 10, 2023
by
ayushjain321
321
views
discrete-mathematics
set-theory
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