Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Recent questions tagged goclasses_wq7
3
votes
1
answer
1
GO Classes 2023 | Weekly Quiz 7 | Question: 1
Let $\text{M}(x)$ denote the predicate $x$ is a mobile ; $\text{B}(x)$ denote the predicate $x$ is black ; $\text{C}(x)$ denote the predicate $x$ has calculator . Suppose that the universe is set of all mobiles. Which of the following ... $: \forall x ( \text{M}(x) \wedge \text{C}(x) )$
GO Classes
asked
in
Mathematical Logic
Apr 14, 2022
by
GO Classes
536
views
goclasses_wq7
goclasses
mathematical-logic
first-order-logic
multiple-selects
1-mark
1
vote
1
answer
2
GO Classes 2023 | Weekly Quiz 7 | Question: 2
Let the universe be the set of all integers. Which of the following statements is/are true? (Where “$+$” is the integer addition) $\forall x \forall y \exists z (x+y = z)$ $\forall x \exists y \forall z (x+y = z)$ $\exists x \forall y \exists z (x+y = z)$ $\exists z \forall x \exists y (x+y = z)$
GO Classes
asked
in
Mathematical Logic
Apr 14, 2022
by
GO Classes
248
views
goclasses_wq7
goclasses
mathematical-logic
first-order-logic
multiple-selects
2-marks
2
votes
2
answers
3
GO Classes 2023 | Weekly Quiz 7 | Question: 3
Let $\text{P}$ be a compound proposition over $4$ propositional variables $: a,b,c,d.$ We know that for $a$ compound proposition over $n$ propositional variables, we have $2^{n}$ ... is true for that row. Let $\text{P}$ be $a \leftrightarrow b$ How many models are there for $\text{P}?$
GO Classes
asked
in
Mathematical Logic
Apr 14, 2022
by
GO Classes
255
views
goclasses_wq7
goclasses
numerical-answers
mathematical-logic
propositional-logic
2-marks
3
votes
2
answers
4
GO Classes 2023 | Weekly Quiz 7 | Question: 4
Consider the following statement $\text{S}$ in an universe $\text{U}.$ $\text{S} : \forall x \forall y (x = y)$ What is the maximum cardinality of $\text{U}$ such that $\text{S}$ is true?
GO Classes
asked
in
Mathematical Logic
Apr 14, 2022
by
GO Classes
252
views
goclasses_wq7
goclasses
numerical-answers
mathematical-logic
first-order-logic
1-mark
4
votes
2
answers
5
GO Classes 2023 | Weekly Quiz 7 | Question: 5
We defined a new class of relations GO on a Set. A relation $\text{R}$ on a set $\text{A}$ is said to be GO iff $\forall a,b [ (a\text{R}b \wedge b\text{R}a) \leftrightarrow (a=b) ],$ ... correct about relation GO? Every GO relation is reflexive. Every GO relation is symmetric. Every GO relation is anti-symmetric. Every GO relation is transitive.
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
323
views
goclasses_wq7
goclasses
set-theory&algebra
relations
multiple-selects
2-marks
1
vote
1
answer
6
GO Classes 2023 | Weekly Quiz 7 | Question: 6
Consider the following logical inferences : $\text{S1} :$ If I study Discrete Mathematics, then I will study Computer Science. If I study C, then I will study Algorithms. Therefore, If I study Discrete Mathematics or C then I will study ... correct but $\text{S2}$ is a correct inference Both $\text{S1}$ and $\text{S2}$ are not correct inferences
GO Classes
asked
in
Mathematical Logic
Apr 14, 2022
by
GO Classes
232
views
goclasses_wq7
goclasses
mathematical-logic
propositional-logic
2-marks
1
vote
1
answer
7
GO Classes 2023 | Weekly Quiz 7 | Question: 8
Consider the formula $\exists x \exists y \exists z(\text{R}(x, y) \wedge \text{R}(z, y) \wedge \text{R}(x, z) \wedge \neg \text{R}(z, x)).$ For which of the following interpretations, is this formula true? $(\text{N}$ ... $\text{R}(x,y) : y = x0 \;\text{or}\; y = x1.$
GO Classes
asked
in
Mathematical Logic
Apr 14, 2022
by
GO Classes
209
views
goclasses_wq7
goclasses
mathematical-logic
first-order-logic
multiple-selects
2-marks
3
votes
1
answer
8
GO Classes 2023 | Weekly Quiz 7 | Question: 9
Let $\text{S}$ be a non-empty set. $\text{P(s)}$ is the power set of $\text{S}.$ Let $\text{A}$ be a non-empty subset of $\text{P(s)}.$ We define is subset of relation $\text{R}$ on $\text{A}.$ So, $x\text{R}y$ iff ... be symmetric, for some choice of $\text{A}.$ It is possible for $\text{R}$ to be Not anti-symmetric, for some choice of $\text{A}.$
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
217
views
goclasses_wq7
goclasses
set-theory&algebra
set-theory
relations
multiple-selects
2-marks
3
votes
1
answer
9
GO Classes 2023 | Weekly Quiz 7 | Question: 10
Consider a set $\text{A} = \{ a,b,c,d,e,f,g \}.$ Consider the following partition $\text{P}$ of set $\text{A}:$ $\text{P} : \{ \{a,b\} , \{c\}, \{d\}, \{e,f,g\} \}$ ... that the set of equivalence classes of $\text{R}$ is exactly the same as partition $\text{P}.$ What is the cardinality of relation $\text{R}?$
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
232
views
goclasses_wq7
goclasses
numerical-answers
set-theory&algebra
set-theory
relations
1-mark
2
votes
1
answer
10
GO Classes 2023 | Weekly Quiz 7 | Question: 11
Let $\text{A}$ be a non-empty set. Let $\text{P(A)}$ denote the power set of $\text{A}.$ Which of the following is/are necessarily true ? If $x \in \text{A}$ then $x$ cannot be an element of $\text{P(A)}.$ If every element of $\text{P(A)}$ ... $\text{B},$ then $\text{A} \subseteq \text{B}.$ $\text{A} \subseteq \text{P(A)}$
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
259
views
goclasses_wq7
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks
3
votes
1
answer
11
GO Classes 2023 | Weekly Quiz 7 | Question: 12
Let $\text{A, B}$ be two non-empty sets, with cardinality $3,4$ respectively. Let $\text{R}$ be a relation defined on the power set of $\text{A} \times \text{B}.$ Relation $\text{R}$ is reflexive, symmetric, transitive and antisymmetric. How many equivalence classes does relation $\text{R}$ have?
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
375
views
goclasses_wq7
goclasses
numerical-answers
set-theory&algebra
set-theory
relations
equivalence-class
2-marks
2
votes
1
answer
12
GO Classes 2023 | Weekly Quiz 7 | Question: 13
The binary relation $\text{R} = \{(0, 0),(1, 1)\}$ on set $\text{A} = \{0, 1, 2, 3 \}$ is Reflexive, Not Symmetric, Transitive Not Reflexive, Symmetric, Transitive Reflexive, Symmetric, Not Transitive Reflexive, Not Symmetric, Not Transitive
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
170
views
goclasses_wq7
goclasses
set-theory&algebra
relations
1-mark
3
votes
1
answer
13
GO Classes 2023 | Weekly Quiz 7 | Question: 14
Let $\text{N}^{+}$ denote the non-zero positive integers. Define a binary relation $\text{R}$ on $\text{N}^{+} \times \text{N}^{+}$ by $(m, n)\text{R}(s, t)$ if $\gcd(m, n) = \gcd(s, t).$ The binary relation $\text{R}$ is Reflexive Symmetric Transitive Not Transitive
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
208
views
goclasses_wq7
goclasses
set-theory&algebra
relations
multiple-selects
2-marks
2
votes
1
answer
14
GO Classes 2023 | Weekly Quiz 7 | Question: 15
Let $\text{N}^{+}_{2}$ denote the natural numbers greater than or equal to $2.$ Let $m\text{R}n$ if $\gcd(m, n) > 1.$ The binary relation $\text{R}$ on $\text{N}^{+}_{2}$ is Reflexive Symmetric Transitive Not Transitive
GO Classes
asked
in
Set Theory & Algebra
Apr 14, 2022
by
GO Classes
202
views
goclasses_wq7
goclasses
set-theory&algebra
relations
multiple-selects
2-marks
To see more, click for the
full list of questions
or
popular tags
.
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
DRDO Scientist -B
ISRO Scientist-B 2023
BARC RECRUITMENT 2023
COAP Responses | GATE CSE 2023
Interview Experience : M.Tech AI at IIT Jodhpur, Self Sponsored
Subjects
All categories
General Aptitude
(2.8k)
Engineering Mathematics
(9.7k)
Digital Logic
(3.4k)
Programming and DS
(5.9k)
Algorithms
(4.6k)
Theory of Computation
(6.7k)
Compiler Design
(2.3k)
Operating System
(5.0k)
Databases
(4.6k)
CO and Architecture
(3.8k)
Computer Networks
(4.7k)
Non GATE
(1.4k)
Others
(2.4k)
Admissions
(665)
Exam Queries
(1.0k)
Tier 1 Placement Questions
(17)
Job Queries
(77)
Projects
(9)
Unknown Category
(867)
Recent questions tagged goclasses_wq7
Recent Blog Comments
Indeed the reasons are valid, hope the positive...
@Shubham Sharma 2 Is it possible to get a...
are MSc.(CS) students eligible?
It is said that the gate score will have 80%...
Maybe we should raise our concern in Supreme...