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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 $\mathrm{W}(\mathrm{R})=n / 2$
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 th...
GO Classes
466
views
GO Classes
asked
Jan 28
Set Theory & Algebra
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 $A \subseteq B$ $B \subseteq A$ $(B-A) \cup A=B$
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
596
views
GO Classes
asked
Jan 13
Set Theory & Algebra
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
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 p...
rajveer43
104
views
rajveer43
asked
Jan 11
Set Theory & Algebra
set-theory
+
–
1
votes
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
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 uncou...
rajveer43
64
views
rajveer43
asked
Jan 10
Set Theory & Algebra
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
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: $P:$...
rajveer43
52
views
rajveer43
asked
Jan 10
Set Theory & Algebra
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
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 follow...
rajveer43
65
views
rajveer43
asked
Jan 10
Set Theory & Algebra
set-theory
discrete-mathematics
+
–
1
votes
1
answer
7
Made Easy
What is meant by refinement that has been asked in this following question?
What is meant by refinement that has been asked in this following question?
Rohit Chakraborty
394
views
Rohit Chakraborty
asked
Oct 6, 2023
Set Theory & Algebra
made-easy-test-series
discrete-mathematics
set-theory
+
–
0
votes
1
answer
8
Discrete Mathematics | Set Theory | Equivalent Relation
Debargha Mitra Roy
177
views
Debargha Mitra Roy
asked
Sep 23, 2023
Set Theory & Algebra
discrete-mathematics
set-theory
+
–
0
votes
0
answers
9
Set Theory
Çșȇ ʛấẗẻ
99
views
Çșȇ ʛấẗẻ
asked
Aug 28, 2023
Mathematical Logic
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|
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
330
views
ayushjain321
asked
Jun 10, 2023
Others
discrete-mathematics
set-theory
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