Query about scholarship test for GO Classes 2024.

A relation $\text{R}$ on a set $\text{A}$ is said to be Total Relation iff $a\text{R}b$ Or $b\text{R}a$ Or both, for all $a,b \in \mathrm{A}$.Which of the following optio...

GO Classes

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GO Classes asked Aug 6, 2022

Set Theory & Algebra
goclasses-scholarship-test1
goclasses
set-theory&algebra
relations
multiple-selects
2-marks

+ –

2 votes

3 answers

GO Classes asked Aug 6, 2022

957 views

GO Classes Scholarship 2023 | Test | Question: 2
Let $\text{S}$ be the set of all bit-strings of length $7 .$ We define a relation $\mathrm{R}$ on the set $\mathrm{S}$ by the rule that $x\mathrm{R}y$ iff $x$ and $y$ ... such that $\forall j \neq i, x_{j}=y_{j}$ and $x_{i} \neq y_{i}$. What is the cardinality of relation $\mathrm{R}$?

Let $\text{S}$ be the set of all bit-strings of length $7 .$ We define a relation $\mathrm{R}$ on the set $\mathrm{S}$ by the rule that $x\mathrm{R}y$ iff $x$ and $y$ dif...

GO Classes

957 views

GO Classes asked Aug 6, 2022

Set Theory & Algebra
goclasses-scholarship-test1
numerical-answers
goclasses
set-theory&algebra
relations
2-marks

+ –

4 votes

1 answer

GO Classes asked Aug 6, 2022

518 views

GO Classes Scholarship 2023 | Test | Question: 3
Let $\text{A, B}$ be two disjoint non-empty sets. Let $\text{M}$ be the universal set and $\text{A} \cup \text{B}$ is a proper subset of $\mathrm{M}$. For any set $\mathrm{S}$, let $\mathrm{S}^{\prime}$ be the set of those elements ...

Let $\text{A, B}$ be two disjoint non-empty sets. Let $\text{M}$ be the universal set and $\text{A} \cup \text{B}$ is a proper subset of $\mathrm{M}$. For any set $\mathr...

GO Classes

518 views

GO Classes asked Aug 6, 2022

Set Theory & Algebra
goclasses-scholarship-test1
goclasses
set-theory&algebra
set-theory
multiple-selects
2-marks

+ –

7 votes

2 answers

GO Classes asked Aug 6, 2022

566 views

GO Classes Scholarship 2023 | Test | Question: 4
Consider a $3 \times 11$ rectangular grid as depicted in Figure $1,$ formed by $33$ tiles of area $1\text{m}^2.$ A staircase walk is a path in the grid which moves only right or up. How many staircase walks are there from $\text{A}$ to $\text{B}$ which start by going to the right two times?

Consider a $3 \times 11$ rectangular grid as depicted in Figure $1,$ formed by $33$ tiles of area $1\text{m}^2.$ A staircase walk is a path in the grid which moves only r...

GO Classes

566 views

GO Classes asked Aug 6, 2022

Combinatory
goclasses-scholarship-test1
numerical-answers
goclasses
combinatory
counting
1-mark

+ –

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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

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